00038.p EXISTS_UNIQUE_THM
00040.p EXISTS_UNIQUE_REFL
00069.p EXISTS_UNIQUE_ALT
00071.p EXISTS_UNIQUE
00078.p EQ_EXT
00079.p FUN_EQ_THM
00080.p EXISTS_THM
00081.p SELECT_REFL
00082.p SELECT_UNIQUE
00103.p COND_CLAUSES
00104.p COND_EXPAND
00105.p COND_ID
00106.p COND_RAND
00107.p COND_RATOR
00110.p COND_ELIM_THM
00111.p SKOLEM_THM
00112.p UNIQUE_SKOLEM_ALT
00115.p bool_RECURSION
00116.p o_THM
00117.p o_ASSOC
00118.p I_THM
00119.p I_O_ID
00126.p REP_ABS_PAIR
00127.p PAIR_EQ
00128.p FST
00129.p SND
00130.p PAIR
00131.p pair_INDUCT
00132.p pair_RECURSION
00133.p FORALL_PAIR_THM
00134.p EXISTS_PAIR_THM
00135.p LAMBDA_PAIR_THM
00137.p EXISTS_PAIRED_THM
00142.p num_RECURSION
00143.p num_CASES
00144.p num_RECURSION_STD
00146.p ADD_SUC
00147.p ADD_SYM
00148.p ADD_ASSOC
00149.p ADD_EQ_0
00150.p EQ_ADD_LCANCEL
00152.p EQ_ADD_RCANCEL
00153.p EQ_ADD_LCANCEL_0
00155.p BIT0
00156.p BIT1
00157.p BIT0_THM
00158.p BIT1_THM
00159.p ARITH_ADD_conjunct1
00160.p ONE
00161.p TWO
00162.p ADD1
00165.p MULT_CLAUSES_conjunct3
00166.p MULT_CLAUSES_conjunct2
00167.p MULT_SYM
00168.p LEFT_ADD_DISTRIB
00170.p RIGHT_ADD_DISTRIB
00171.p MULT_ASSOC
00172.p MULT_EQ_0
00173.p ADD_AC_conjunct1
00174.p EQ_MULT_LCANCEL
00175.p EQ_MULT_RCANCEL
00176.p MULT_2
00177.p MULT_EQ_1
00178.p EXP_EQ_0
00179.p EXP_EQ_1
00181.p MULT_AC_conjunct2
00182.p MULT_AC_conjunct1
00183.p EXP_ADD
00184.p EXP_ONE
00185.p EXP_1
00187.p MULT_EXP
00188.p EXP_MULT
00189.p LE_SUC_LT
00190.p LT_SUC_LE
00191.p LE_SUC
00192.p LT_SUC
00193.p LE_0
00194.p LT_0
00195.p LE_REFL
00196.p LT_REFL
00197.p LE_ANTISYM
00198.p LT_ANTISYM
00199.p LET_ANTISYM
00200.p LTE_ANTISYM
00201.p LE_TRANS
00202.p LT_TRANS
00203.p LET_TRANS
00204.p LTE_TRANS
00205.p LE_CASES
00206.p LT_CASES
00207.p LET_CASES
00208.p LTE_CASES
00209.p LE_LT
00210.p LT_LE
00211.p NOT_LE
00212.p NOT_LT
00213.p LT_IMP_LE
00214.p EQ_IMP_LE
00215.p LT_NZ
00216.p LE_EXISTS
00217.p LT_EXISTS
00218.p LE_ADD
00219.p LE_ADDR
00220.p LT_ADD
00221.p LT_ADDR
00222.p LE_ADD_LCANCEL
00223.p LE_ADD_RCANCEL
00224.p LT_ADD_LCANCEL
00225.p LT_ADD_RCANCEL
00226.p ADD_AC_conjunct2
00227.p LE_ADD2
00228.p LET_ADD2
00229.p LTE_ADD2
00230.p LT_ADD2
00231.p LT_MULT
00232.p LE_MULT2
00233.p LT_LMULT
00234.p LE_MULT_LCANCEL
00235.p LE_MULT_RCANCEL
00236.p LT_MULT_LCANCEL
00237.p LT_MULT_RCANCEL
00240.p WLOG_LE
00241.p WLOG_LT
00242.p num_WF
00243.p num_WOP
00244.p num_MAX
00245.p NOT_EVEN
00246.p NOT_ODD
00247.p EVEN_OR_ODD
00249.p EVEN_ADD
00250.p EVEN_MULT
00252.p ODD_ADD
00253.p ODD_MULT
00254.p ODD_EXP
00255.p EVEN_DOUBLE
00256.p ODD_DOUBLE
00257.p EVEN_EXISTS_LEMMA
00258.p EVEN_EXISTS
00259.p ODD_EXISTS
00261.p SUB_0
00262.p SUB_PRESUC
00263.p SUB_SUC
00264.p SUB_REFL
00265.p ADD_SUB
00266.p ADD_SUB2
00267.p SUB_EQ_0
00268.p ADD_SUBR2
00270.p SUB_ADD
00271.p SUB_ADD_LCANCEL
00272.p SUB_ADD_RCANCEL
00273.p LEFT_SUB_DISTRIB
00274.p RIGHT_SUB_DISTRIB
00275.p SUC_SUB1
00276.p EVEN_SUB
00277.p ODD_SUB
00278.p Hypermap.ZR_LT_1
00279.p FACT_LT
00281.p FACT_NZ
00283.p EXP_LT_0
00284.p LT_EXP
00285.p LE_EXP
00287.p EXP_MONO_LE_IMP
00288.p EXP_MONO_LT_IMP
00289.p EXP_MONO_LE
00292.p DIVMOD_EXIST
00294.p DIVISION
00296.p DIVMOD_UNIQ_LEMMA
00297.p DIVMOD_UNIQ
00298.p MOD_UNIQ
00299.p DIV_UNIQ
00300.p MOD_MULT
00301.p DIV_MULT
00302.p MOD_LT
00303.p MOD_EQ
00305.p DIV_MUL_LE
00306.p MOD_0
00307.p DIV_0
00308.p MOD_1
00309.p DIV_1
00310.p DIV_LT
00311.p MOD_MOD
00316.p LE_RDIV_EQ
00317.p LE_LDIV_EQ
00318.p LE_LDIV
00319.p DIV_MONO
00321.p DIV_EQ_0
00322.p MOD_EQ_0
00323.p EVEN_MOD
00325.p MOD_MULT_RMOD
00326.p MOD_MULT_LMOD
00329.p MOD_MULT_ADD
00330.p DIV_MULT_ADD
00331.p MOD_ADD_MOD
00333.p LE_1_conjunct0
00335.p MOD_LE
00337.p DIV_LE_EXCLUSION
00343.p PRE_ELIM_THM
00345.p SUB_ELIM_THM
00347.p DIVMOD_ELIM_THM
00349.p MINIMAL
00350.p TRANSITIVE_STEPWISE_LT_EQ
00351.p TRANSITIVE_STEPWISE_LT
00352.p TRANSITIVE_STEPWISE_LE_EQ
00353.p TRANSITIVE_STEPWISE_LE
00355.p WF_IND
00356.p WF_DCHAIN
00357.p WF_UREC
00359.p WF_REC_INVARIANT
00360.p WF_REC
00363.p WF_SUBSET
00364.p WF_MEASURE_GEN
00365.p WF_LEX_DEPENDENT
00366.p WF_LEX
00368.p WF_num
00370.p WF_MEASURE
00371.p MEASURE_LE
00373.p WF_FALSE
00374.p WF_REC_TAIL
00375.p WF_REC_TAIL_GENERAL
00376.p ARITH_ZERO_conjunct0
00377.p ARITH_ZERO_conjunct1
00378.p ARITH_PRE_conjunct1
00379.p ARITH_MULT_conjunct1
00380.p ARITH_EXP_conjunct1
00389.p ARITH_EVEN_conjunct1
00390.p ARITH_ODD_conjunct1
00391.p ARITH_LE_conjunct1
00400.p ARITH_LE_conjunct0
00401.p ARITH_LT_conjunct1
00402.p ARITH_SUB_conjunct1
00411.p ARITH_EQ_conjunct0
00420.p ARITH_LT_conjunct0
00421.p ARITH_EVEN_conjunct0
00422.p ARITH_EVEN_conjunct3
00423.p ARITH_EVEN_conjunct2
00424.p ARITH_ODD_conjunct0
00425.p ARITH_ODD_conjunct3
00426.p ARITH_ODD_conjunct2
00427.p ARITH_SUC_conjunct1
00436.p ARITH_SUB_conjunct0
00445.p ARITH_GT_conjunct1
00446.p ARITH_GT_conjunct0
00455.p ARITH_GE_conjunct1
00456.p ARITH_GE_conjunct0
00457.p ARITH_EXP_conjunct0
00466.p ARITH_MULT_conjunct0
00475.p ARITH_ADD_conjunct0
00476.p ARITH_PRE_conjunct3
00477.p ARITH_PRE_conjunct2
00478.p ARITH_PRE_conjunct0
00479.p ARITH_SUC_conjunct3
00480.p ARITH_SUC_conjunct2
00481.p ARITH_SUC_conjunct0
00483.p NUMPAIR_INJ_LEMMA
00484.p NUMPAIR_INJ
00486.p INJN_INJ
00487.p INJA_INJ
00488.p INJF_INJ
00489.p INJP_INJ
00490.p ZCONSTR_ZBOT
00493.p sum_DISTINCT
00494.p sum_INJECTIVE_conjunct1
00495.p sum_INJECTIVE_conjunct0
00499.p ALL2_conjunct0
00500.p ALL2_conjunct1
00501.p ALL2_conjunct2
00502.p ALL2_conjunct3
00503.p MAP2_conjunct0
00504.p MAP2_conjunct1
00507.p ZIP_conjunct0
00508.p ZIP_conjunct1
00509.p NOT_CONS_NIL
00510.p LAST_CLAUSES_conjunct0
00512.p APPEND_NIL
00513.p APPEND_ASSOC
00514.p REVERSE_APPEND
00516.p CONS_11
00517.p list_CASES
00518.p LENGTH_APPEND
00519.p MAP_APPEND
00520.p LENGTH_MAP
00521.p LENGTH_EQ_NIL
00522.p LENGTH_EQ_CONS
00524.p MAP_EQ
00534.p ITLIST_APPEND
00539.p ALL_MEM
00540.p LENGTH_REPLICATE
00544.p MEM_APPEND
00545.p MEM_MAP
00554.p MEM_EL
00555.p MEM_EXISTS_EL
00560.p APPEND_EQ_NIL
00562.p MAP_EQ_NIL
00564.p SURJECTIVE_MAP
00565.p MAP_ID
00567.p APPEND_BUTLAST_LAST
00569.p LENGTH_TL
00570.p EL_APPEND
00571.p EL_TL
00572.p EL_CONS
00573.p LAST_EL
00575.p CONS_HD_TL
00577.p MAP_REVERSE
00581.p DIST_LE_CASES
00582.p DIST_ADDBOUND
00583.p DIST_ADD2_REV
00584.p DIST_ADD2
00585.p BOUNDS_LINEAR
00586.p BOUNDS_LINEAR_0
00587.p BOUNDS_DIVIDED
00588.p BOUNDS_NOTZERO
00589.p BOUNDS_IGNORE
00590.p NADD_CAUCHY
00591.p NADD_BOUND
00592.p NADD_MULTIPLICATIVE
00593.p NADD_SUC
00594.p NADD_ALTMUL
00595.p NADD_EQ_TRANS
00596.p NADD_OF_NUM_WELLDEF
00597.p NADD_LE_WELLDEF_LEMMA
00598.p NADD_LE_WELLDEF
00599.p NADD_LE_REFL
00600.p NADD_LE_TRANS
00601.p NADD_LE_ANTISYM
00602.p NADD_LE_TOTAL_LEMMA
00603.p NADD_LE_TOTAL
00604.p NADD_ARCH
00605.p NADD_OF_NUM_LE
00606.p NADD_ADD
00607.p NADD_ADD_WELLDEF
00608.p NADD_ADD_SYM
00609.p NADD_ADD_ASSOC
00610.p NADD_ADD_LCANCEL
00611.p NADD_LE_ADD
00612.p NADD_LE_EXISTS
00613.p NADD_MUL_ASSOC
00614.p NADD_MUL_LID
00615.p NADD_LDISTRIB
00616.p NADD_MUL_WELLDEF_LEMMA
00617.p NADD_MUL_WELLDEF
00618.p NADD_LE_0
00619.p NADD_EQ_IMP_LE
00620.p NADD_LE_LMUL
00622.p NADD_LE_RADD
00623.p NADD_LE_LADD
00624.p NADD_RDISTRIB
00625.p NADD_ARCH_MULT
00626.p NADD_ARCH_ZERO
00627.p NADD_ARCH_LEMMA
00628.p NADD_COMPLETE
00629.p NADD_UBOUND
00630.p NADD_NONZERO
00631.p NADD_LBOUND
00632.p NADD_MUL_LINV_LEMMA0
00633.p NADD_MUL_LINV_LEMMA1
00634.p NADD_MUL_LINV_LEMMA2
00635.p NADD_MUL_LINV_LEMMA3
00636.p NADD_MUL_LINV_LEMMA5
00637.p NADD_MUL_LINV_LEMMA6
00638.p NADD_MUL_LINV_LEMMA7
00639.p NADD_MUL_LINV_LEMMA7a
00640.p NADD_INV
00641.p NADD_MUL_LINV
00642.p NADD_INV_0
00643.p NADD_INV_WELLDEF
00644.p hreal_of_num_th
00645.p HREAL_OF_NUM_LE
00646.p HREAL_LE_EXISTS_DEF
00647.p HREAL_EQ_ADD_LCANCEL
00648.p HREAL_EQ_ADD_RCANCEL
00649.p HREAL_LE_ADD_LCANCEL
00650.p HREAL_LE_ADD_RCANCEL
00651.p HREAL_ADD_RID
00652.p HREAL_ADD_RDISTRIB
00653.p HREAL_MUL_LZERO
00656.p HREAL_ADD_AC_conjunct2
00657.p HREAL_ADD_AC_conjunct1
00658.p HREAL_LE_ADD2
00659.p HREAL_LE_MUL_RCANCEL_IMP
00660.p TREAL_EQ_REFL
00661.p TREAL_EQ_SYM
00662.p TREAL_EQ_TRANS
00663.p TREAL_EQ_AP
00664.p TREAL_OF_NUM_EQ
00665.p TREAL_OF_NUM_LE
00666.p TREAL_OF_NUM_ADD
00667.p TREAL_OF_NUM_MUL
00668.p TREAL_ADD_SYM_EQ
00669.p TREAL_MUL_SYM_EQ
00670.p TREAL_ADD_SYM
00671.p TREAL_ADD_ASSOC
00672.p TREAL_ADD_LID
00673.p TREAL_ADD_LINV
00674.p TREAL_MUL_SYM
00675.p TREAL_MUL_ASSOC
00676.p TREAL_MUL_LID
00677.p TREAL_ADD_LDISTRIB
00678.p TREAL_LE_REFL
00679.p TREAL_LE_ANTISYM
00680.p TREAL_LE_TRANS
00681.p TREAL_LE_TOTAL
00682.p TREAL_LE_LADD_IMP
00683.p TREAL_LE_MUL
00684.p TREAL_INV_0
00685.p TREAL_MUL_LINV
00687.p TREAL_NEG_WELLDEF
00688.p TREAL_ADD_WELLDEFR
00689.p TREAL_ADD_WELLDEF
00690.p TREAL_MUL_WELLDEFR
00691.p TREAL_MUL_WELLDEF
00692.p TREAL_EQ_IMP_LE
00693.p TREAL_LE_WELLDEF
00694.p TREAL_INV_WELLDEF
00695.p real_of_num_th
00696.p REAL_OF_NUM_LE
00699.p REAL_HREAL_LEMMA2
00700.p REAL_COMPLETE_SOMEPOS
00701.p REAL_ADD_RID
00702.p REAL_ADD_RINV
00703.p REAL_COMPLETE
00704.p REAL_EQ_ADD_LCANCEL
00705.p REAL_EQ_ADD_RCANCEL
00708.p REAL_NEGNEG
00709.p REAL_MUL_RNEG
00710.p REAL_MUL_LNEG
00711.p REAL_ADD_AC_conjunct2
00712.p REAL_ADD_AC_conjunct1
00714.p REAL_NEG_ADD
00716.p REAL_LE_LNEG
00718.p REAL_LE_RNEG
00719.p REAL_OF_NUM_POW
00720.p REAL_POW_NEG
00721.p REAL_ABS_NUM
00722.p REAL_ABS_NEG
00723.p REAL_LTE_TOTAL
00724.p REAL_LET_TOTAL
00726.p REAL_LTE_TRANS
00727.p REAL_LET_TRANS
00728.p REAL_LT_TRANS
00730.p REAL_LTE_ANTISYM
00731.p REAL_SUB_LE
00732.p REAL_NEG_SUB
00733.p REAL_LE_LT
00734.p REAL_SUB_LT
00735.p REAL_NOT_LT
00736.p REAL_SUB_0
00737.p REAL_LT_LE
00738.p REAL_LT_REFL
00740.p REAL_LET_ADD
00742.p REAL_ENTIRE
00743.p REAL_LE_NEGTOTAL
00745.p REAL_MUL_RID
00747.p REAL_POS
00749.p REAL_POLY_NEG_CLAUSES_conjunct1
00750.p REAL_OF_NUM_LT
00751.p REAL_OF_NUM_GE
00752.p REAL_OF_NUM_GT
00753.p REAL_OF_NUM_MAX
00754.p REAL_OF_NUM_MIN
00755.p REAL_OF_NUM_SUC
00756.p REAL_OF_NUM_SUB
00761.p REAL_EQ_ADD_LCANCEL_0
00762.p REAL_EQ_ADD_RCANCEL_0
00763.p REAL_LNEG_UNIQ
00764.p REAL_RNEG_UNIQ
00765.p REAL_NEG_LMUL
00766.p REAL_NEG_RMUL
00767.p REAL_NEG_MUL2
00768.p REAL_LT_LADD
00769.p REAL_LT_RADD
00770.p REAL_LT_ANTISYM
00771.p REAL_LT_GT
00772.p REAL_NOT_EQ
00773.p REAL_NOT_LE
00774.p REAL_LET_ANTISYM
00775.p REAL_NEG_LT0
00776.p REAL_NEG_GT0
00777.p REAL_NEG_LE0
00778.p REAL_NEG_GE0
00779.p REAL_LT_TOTAL
00780.p REAL_LT_NEGTOTAL
00781.p REAL_LE_01
00782.p REAL_LT_01
00783.p REAL_LE_LADD
00784.p REAL_LE_RADD
00785.p REAL_LT_ADD2
00786.p REAL_LE_ADD2
00787.p REAL_LT_LNEG
00788.p REAL_LT_RNEG
00789.p REAL_LT_ADDNEG
00790.p REAL_LT_ADDNEG2
00791.p REAL_LT_ADD1
00792.p REAL_SUB_ADD
00793.p REAL_SUB_ADD2
00794.p REAL_SUB_REFL
00796.p REAL_LE_NEGL
00797.p REAL_LE_NEGR
00798.p REAL_NEG_EQ_0
00799.p REAL_ADD_SUB
00800.p REAL_NEG_EQ
00801.p REAL_LT_IMP_NE
00802.p REAL_LE_ADDR
00803.p REAL_LE_ADDL
00804.p REAL_LT_ADDR
00805.p REAL_LT_ADDL
00806.p REAL_SUB_SUB
00807.p REAL_LT_ADD_SUB
00808.p REAL_LT_SUB_RADD
00809.p REAL_LT_SUB_LADD
00810.p REAL_LE_SUB_LADD
00811.p REAL_LE_SUB_RADD
00813.p REAL_ADD2_SUB2
00814.p REAL_SUB_LZERO
00815.p REAL_SUB_RZERO
00816.p REAL_LET_ADD2
00817.p REAL_LTE_ADD2
00818.p REAL_SUB_LNEG
00819.p REAL_SUB_RNEG
00820.p REAL_SUB_NEG2
00821.p REAL_SUB_TRIANGLE
00822.p REAL_EQ_SUB_LADD
00823.p REAL_EQ_SUB_RADD
00824.p REAL_SUB_SUB2
00825.p REAL_ADD_SUB2
00826.p REAL_EQ_IMP_LE
00828.p REAL_DIFFSQ
00829.p REAL_EQ_NEG2
00830.p REAL_SUB_LDISTRIB
00831.p REAL_SUB_RDISTRIB
00832.p REAL_ABS_ZERO
00839.p REAL_ABS_SUB
00840.p REAL_ABS_NZ
00841.p REAL_ABS_ABS
00842.p REAL_ABS_LE
00844.p REAL_ABS_BETWEEN
00845.p REAL_ABS_BOUND
00846.p REAL_ABS_STILLNZ
00847.p REAL_ABS_CASES
00848.p REAL_ABS_BETWEEN1
00849.p REAL_ABS_SIGN2
00850.p REAL_ABS_CIRCLE
00851.p REAL_SUB_ABS
00852.p REAL_ABS_SUB_ABS
00853.p REAL_ABS_BETWEEN2
00855.p REAL_BOUNDS_LE
00856.p REAL_BOUNDS_LT
00857.p REAL_MIN_MAX
00858.p REAL_MAX_MIN
00859.p REAL_MAX_MAX
00860.p REAL_MIN_MIN
00861.p REAL_MAX_SYM
00862.p REAL_MIN_SYM
00863.p REAL_LE_MAX
00864.p REAL_LE_MIN
00865.p REAL_LT_MAX
00866.p REAL_LT_MIN
00867.p REAL_MAX_LE
00868.p REAL_MIN_LE
00869.p REAL_MAX_LT
00870.p REAL_MIN_LT
00871.p REAL_MAX_ASSOC
00872.p REAL_MIN_ASSOC
00875.p REAL_POW_LT
00876.p REAL_ABS_POW
00877.p REAL_LE_LMUL
00878.p REAL_LE_RMUL
00879.p REAL_LT_LMUL
00880.p REAL_LT_RMUL
00882.p REAL_EQ_MUL_RCANCEL
00883.p REAL_MUL_LINV_UNIQ
00884.p REAL_MUL_RINV_UNIQ
00885.p REAL_INV_INV
00886.p REAL_EQ_INV2
00887.p REAL_INV_EQ_0
00889.p REAL_LT_INV_EQ
00890.p REAL_INV_NEG
00892.p REAL_LE_INV
00893.p REAL_MUL_RINV
00894.p REAL_INV_1
00895.p REAL_INV_EQ_1
00896.p REAL_DIV_1
00897.p REAL_DIV_REFL
00898.p REAL_DIV_RMUL
00899.p REAL_DIV_LMUL
00900.p REAL_ABS_INV
00901.p REAL_ABS_DIV
00902.p REAL_MUL_AC_conjunct2
00903.p REAL_MUL_AC_conjunct1
00904.p REAL_INV_MUL
00905.p REAL_INV_DIV
00906.p REAL_POW_MUL
00907.p REAL_POW_INV
00908.p REAL_INV_POW
00909.p REAL_POW_DIV
00910.p REAL_POW_ADD
00911.p REAL_POW_NZ
00912.p REAL_POW_SUB
00913.p REAL_LT_LCANCEL_IMP
00915.p REAL_LE_LCANCEL_IMP
00916.p REAL_LE_RCANCEL_IMP
00917.p REAL_LE_RMUL_EQ
00918.p REAL_LE_LMUL_EQ
00919.p REAL_LT_RMUL_EQ
00920.p REAL_LT_LMUL_EQ
00921.p REAL_MUL_POS_LT
00922.p REAL_MUL_POS_LE
00923.p REAL_LE_RDIV_EQ
00924.p REAL_LE_LDIV_EQ
00925.p REAL_LT_RDIV_EQ
00926.p REAL_LT_LDIV_EQ
00927.p REAL_EQ_RDIV_EQ
00928.p REAL_EQ_LDIV_EQ
00929.p REAL_LT_DIV2_EQ
00930.p REAL_LE_DIV2_EQ
00931.p REAL_MUL_2
00932.p REAL_POW_EQ_0
00934.p REAL_LT_MUL2
00935.p REAL_LT_SQUARE
00937.p REAL_POW_ONE
00938.p REAL_LT_INV2
00939.p REAL_LE_INV2
00944.p REAL_INV_LE_1
00945.p REAL_INV_1_LE
00946.p REAL_INV_LT_1
00947.p REAL_INV_1_LT
00948.p REAL_SUB_INV
00949.p Real_ext.REAL_INV2_conjunct0
00950.p REAL_DOWN
00951.p REAL_DOWN2
00952.p REAL_POW_LE2
00953.p REAL_POW_LE_1
00954.p REAL_POW_1_LE
00955.p REAL_POW_MONO
00956.p REAL_POW_LT2
00957.p REAL_POW_LT_1
00958.p REAL_POW_1_LT
00959.p REAL_POW_MONO_LT
00960.p REAL_POW_POW
00961.p REAL_EQ_RCANCEL_IMP
00962.p REAL_EQ_LCANCEL_IMP
00963.p REAL_LT_DIV
00964.p REAL_LE_DIV
00965.p REAL_DIV_POW2
00967.p REAL_LT_POW2
00968.p REAL_LE_POW2
00969.p REAL_POW2_ABS
00970.p REAL_LE_SQUARE_ABS
00971.p REAL_LT_SQUARE_ABS
00972.p REAL_EQ_SQUARE_ABS
00974.p REAL_SOS_EQ_0
00975.p REAL_POW_ZERO
00976.p REAL_POW_MONO_INV
00977.p REAL_POW_LE2_REV
00978.p REAL_POW_LT2_REV
00979.p REAL_POW_EQ
00980.p REAL_POW_EQ_ABS
00981.p REAL_POW_EQ_1_IMP
00982.p REAL_POW_EQ_1
00983.p REAL_POW_LT2_ODD
00984.p REAL_POW_LE2_ODD
00986.p REAL_POW_LE2_ODD_EQ
00987.p REAL_POW_EQ_ODD_EQ
00988.p REAL_POW_EQ_ODD
00989.p REAL_POW_EQ_EQ
00990.p REAL_ARCH_SIMPLE
00991.p REAL_ARCH_LT
00992.p REAL_ARCH
00993.p REAL_SGN_0
00994.p REAL_SGN_NEG
00995.p REAL_SGN_ABS
00996.p REAL_ABS_SGN
00997.p REAL_SGN
00998.p REAL_SGN_MUL
01000.p REAL_SGN_DIV
01002.p REAL_SGN_CASES
01003.p REAL_WLOG_LE
01004.p REAL_WLOG_LT
01006.p RAT_LEMMA1
01007.p RAT_LEMMA2
01008.p RAT_LEMMA3
01009.p RAT_LEMMA4
01010.p RAT_LEMMA5
01011.p is_int
01014.p dest_int_rep
01015.p int_eq
01016.p int_of_num_th
01017.p int_neg_th
01018.p int_add_th
01019.p int_sub_th
01020.p int_mul_th
01021.p int_abs_th
01022.p int_sgn_th
01023.p int_max_th
01024.p int_min_th
01025.p int_pow_th
01026.p INT_IMAGE
01027.p INT_LT_DISCRETE
01029.p INT_ABS_0
01030.p INT_ABS_1
01039.p INT_ABS_MUL
01040.p INT_ABS_NEG
01043.p INT_ABS_POS
01045.p INT_ABS_REFL
01056.p INT_ADD_ASSOC
01057.p INT_ADD_LDISTRIB
01058.p INT_ADD_LID
01059.p INT_ADD_LINV
01061.p INT_ADD_RID
01062.p INT_ADD_RINV
01065.p INT_ADD_SYM
01069.p INT_ENTIRE
01070.p INT_EQ_ADD_LCANCEL
01074.p INT_EQ_IMP_LE
01077.p INT_EQ_NEG2
01079.p INT_EQ_SUB_LADD
01080.p INT_EQ_SUB_RADD
01086.p INT_LE_01
01091.p INT_LE_ANTISYM
01095.p INT_LE_LMUL
01096.p INT_LE_LNEG
01101.p REAL_LE_MUL_EQ_conjunct1
01103.p REAL_LE_MUL_EQ_conjunct0
01105.p INT_LE_NEG
01108.p INT_LE_NEGTOTAL
01110.p INT_LE_RADD
01111.p INT_LE_REFL
01112.p INT_LE_RMUL
01113.p INT_LE_RNEG
01116.p INT_LE_SUB_LADD
01117.p INT_LE_SUB_RADD
01118.p INT_LE_TOTAL
01119.p INT_LE_TRANS
01125.p INT_LTE_TRANS
01140.p INT_LT_LE
01141.p INT_LT_LMUL_EQ
01153.p INT_LT_REFL
01180.p INT_MUL_ASSOC
01181.p INT_MUL_LID
01182.p INT_MUL_LNEG
01183.p INT_MUL_LZERO
01186.p INT_MUL_RID
01187.p INT_MUL_RNEG
01188.p INT_MUL_RZERO
01189.p INT_MUL_SYM
01191.p INT_NEG_0
01192.p INT_NEG_ADD
01193.p INT_NEG_EQ
01194.p INT_NEG_EQ_0
01195.p INT_NEG_GE0
01200.p INT_NEG_MINUS1
01201.p INT_NEG_MUL2
01204.p INT_NOT_EQ
01205.p INT_NOT_LE
01206.p INT_NOT_LT
01207.p INT_OF_NUM_ADD
01208.p INT_OF_NUM_EQ
01209.p INT_OF_NUM_GE
01210.p INT_OF_NUM_GT
01211.p INT_OF_NUM_LE
01212.p INT_OF_NUM_LT
01213.p INT_OF_NUM_MAX
01214.p INT_OF_NUM_MIN
01215.p INT_OF_NUM_MUL
01216.p INT_OF_NUM_POW
01217.p INT_OF_NUM_SUB
01218.p INT_OF_NUM_SUC
01219.p INT_POS
01222.p INT_POW_1
01225.p INT_POW_2
01226.p INT_POW_ADD
01242.p INT_POW_NEG
01244.p INT_POW_ONE
01245.p INT_POW_POW
01252.p REAL_SGN_EQ_conjunct0
01258.p INT_SUB_0
01263.p INT_SUB_LE
01266.p INT_SUB_LZERO
01269.p INT_SUB_REFL
01271.p INT_SUB_RZERO
01275.p INT_FORALL_POS
01276.p INT_EXISTS_POS
01277.p INT_FORALL_ABS
01280.p INT_WOP
01281.p INT_POW_conjunct0
01282.p INT_POW_conjunct1
01284.p INT_GE
01285.p INT_GT
01286.p INT_LT
01287.p INT_SUB
01290.p INT_ARCH
01292.p INT_DIVISION
01293.p INT_DIVMOD_UNIQ
01294.p int_congruent
01295.p FORALL_UNCURRY
01296.p EXISTS_UNCURRY
01297.p WF_INT_MEASURE
01298.p WF_INT_MEASURE_2
01299.p INT_GCD_EXISTS
01301.p NUM_OF_INT_OF_NUM
01302.p INT_OF_NUM_OF_INT
01303.p NUM_OF_INT
01304.p num_congruent
01306.p EXTENSION
01307.p IN_ELIM_THM_conjunct4
01308.p IN_ELIM_THM_conjunct3
01309.p IN_ELIM_THM_conjunct2
01310.p IN_ELIM_THM_conjunct1
01311.p IN_ELIM_THM_conjunct0
01312.p INSERT
01313.p NOT_IN_EMPTY
01314.p IN_UNIV
01315.p IN_UNION
01316.p IN_UNIONS
01317.p IN_INTER
01318.p IN_INTERS
01319.p IN_DIFF
01320.p IN_INSERT
01321.p IN_DELETE
01322.p IN_SING
01323.p IN_IMAGE
01325.p FORALL_IN_INSERT
01326.p EXISTS_IN_INSERT
01327.p CHOICE_DEF
01329.p MEMBER_NOT_EMPTY
01330.p UNIV_NOT_EMPTY
01331.p EMPTY_NOT_UNIV
01332.p EQ_UNIV
01333.p SUBSET_TRANS
01334.p SUBSET_REFL
01335.p SUBSET_ANTISYM
01336.p SUBSET_ANTISYM_EQ
01337.p EMPTY_SUBSET
01338.p SUBSET_EMPTY
01339.p SUBSET_UNIV
01340.p UNIV_SUBSET
01341.p SING_SUBSET
01342.p PSUBSET_TRANS
01344.p SUBSET_PSUBSET_TRANS
01345.p PSUBSET_IRREFL
01349.p PSUBSET_ALT
01350.p UNION_ASSOC
01351.p UNION_IDEMPOT
01352.p UNION_COMM
01353.p SUBSET_UNION_ABSORPTION
01355.p UNION_SUBSET
01356.p INTER_ASSOC
01357.p INTER_IDEMPOT
01358.p INTER_COMM
01359.p SUBSET_INTER_ABSORPTION
01360.p SUBSET_INTER
01361.p UNION_OVER_INTER
01363.p IN_DISJOINT
01364.p DISJOINT_SYM
01365.p DISJOINT_EMPTY
01367.p DISJOINT_UNION
01368.p DIFF_EMPTY
01369.p EMPTY_DIFF
01372.p DIFF_EQ_EMPTY
01373.p SUBSET_DIFF
01374.p COMPONENT
01375.p DECOMPOSITION
01376.p SET_CASES
01377.p ABSORPTION
01378.p INSERT_INSERT
01379.p INSERT_COMM
01381.p NOT_INSERT_EMPTY
01383.p INSERT_UNION
01384.p INSERT_UNION_EQ
01385.p INSERT_INTER
01386.p DISJOINT_INSERT
01387.p INSERT_SUBSET
01388.p SUBSET_INSERT
01389.p INSERT_DIFF
01390.p INSERT_AC_conjunct0
01391.p INSERT_AC_conjunct1
01392.p DELETE_NON_ELEMENT
01394.p EMPTY_DELETE
01396.p DELETE_COMM
01397.p DELETE_SUBSET
01398.p SUBSET_DELETE
01399.p SUBSET_INSERT_DELETE
01403.p DELETE_INSERT
01404.p INSERT_DELETE
01407.p UNIONS_0
01408.p UNIONS_1
01409.p UNIONS_2
01410.p UNIONS_INSERT
01411.p FORALL_IN_UNIONS
01412.p EXISTS_IN_UNIONS
01413.p EMPTY_UNIONS
01414.p UNIONS_SUBSET
01415.p SUBSET_UNIONS
01416.p UNIONS_UNION
01417.p INTERS_UNION
01418.p INTERS_0
01419.p INTERS_1
01420.p INTERS_2
01421.p INTERS_INSERT
01422.p IMAGE_UNION
01423.p IMAGE_ID
01424.p IMAGE_I
01425.p IMAGE_o
01426.p IMAGE_SUBSET
01427.p IMAGE_INTER_INJ
01428.p IMAGE_DIFF_INJ
01429.p IMAGE_DELETE_INJ
01430.p IMAGE_EQ_EMPTY
01431.p FORALL_IN_IMAGE
01432.p EXISTS_IN_IMAGE
01433.p SUBSET_IMAGE
01434.p FORALL_SUBSET_IMAGE
01435.p EXISTS_SUBSET_IMAGE
01436.p IMAGE_CLAUSES_conjunct1
01437.p IMAGE_CLAUSES_conjunct0
01438.p IMAGE_CONST
01439.p SIMPLE_IMAGE
01440.p SIMPLE_IMAGE_GEN
01441.p IMAGE_UNIONS
01442.p FUN_IN_IMAGE
01443.p SURJECTIVE_IMAGE_EQ
01444.p EMPTY_GSPEC
01445.p IN_ELIM_PAIR_THM
01447.p SET_PROVE_CASES
01448.p UNIONS_IMAGE
01449.p INTERS_IMAGE
01451.p UNIONS_GSPEC_conjunct1
01452.p UNIONS_GSPEC_conjunct0
01455.p INTERS_GSPEC_conjunct0
01456.p DIFF_INTERS
01457.p INTERS_UNIONS
01461.p FINITE_INDUCT_STRONG
01462.p FINITE_EMPTY
01463.p FINITE_SUBSET
01464.p UNION_EMPTY_conjunct1
01465.p UNION_EMPTY_conjunct0
01466.p FINITE_UNION_IMP
01467.p FINITE_UNION
01468.p FINITE_INTER
01469.p FINITE_INSERT
01470.p FINITE_SING
01471.p FINITE_DELETE_IMP
01472.p FINITE_DELETE
01473.p FINITE_FINITE_UNIONS
01474.p FINITE_IMAGE_EXPAND
01475.p FINITE_IMAGE
01476.p FINITE_IMAGE_INJ_GENERAL
01477.p FINITE_FINITE_PREIMAGE_GENERAL
01478.p FINITE_FINITE_PREIMAGE
01479.p FINITE_IMAGE_INJ_EQ
01480.p FINITE_IMAGE_INJ
01481.p INFINITE_IMAGE_INJ
01482.p INFINITE_NONEMPTY
01483.p INFINITE_DIFF_FINITE
01484.p FINITE_SUBSET_IMAGE
01485.p EXISTS_FINITE_SUBSET_IMAGE
01487.p FINITE_DIFF
01488.p INFINITE_SUPERSET
01489.p FINREC_1_LEMMA
01490.p FINREC_SUC_LEMMA
01491.p FINREC_UNIQUE_LEMMA
01492.p FINREC_EXISTS_LEMMA
01493.p FINREC_FUN_LEMMA
01494.p FINREC_FUN
01495.p SET_RECURSION_LEMMA
01496.p FINITE_RECURSION
01499.p SUBSET_RESTRICT
01500.p FINITE_RESTRICT
01501.p CARD_CLAUSES_conjunct1
01502.p INTER_EMPTY_conjunct1
01503.p INTER_EMPTY_conjunct0
01504.p CARD_CLAUSES_conjunct0
01505.p CARD_UNION
01506.p CARD_DELETE
01507.p CARD_UNION_EQ
01508.p CARD_DIFF
01509.p CARD_EQ_0
01511.p HAS_SIZE_CARD
01512.p HAS_SIZE_0
01513.p HAS_SIZE_SUC
01514.p HAS_SIZE_UNION
01515.p HAS_SIZE_DIFF
01516.p HAS_SIZE_UNIONS
01517.p FINITE_HAS_SIZE
01518.p HAS_SIZE_CLAUSES_conjunct0
01519.p HAS_SIZE_CLAUSES_conjunct1
01520.p CARD_SUBSET_EQ
01521.p CARD_SUBSET
01522.p CARD_SUBSET_LE
01523.p SUBSET_CARD_EQ
01524.p CARD_PSUBSET
01525.p CARD_UNION_LE
01527.p INTER_SUBSET_conjunct1
01528.p INTER_SUBSET_conjunct0
01529.p CARD_UNION_GEN
01530.p CARD_UNION_OVERLAP_EQ
01532.p CARD_IMAGE_INJ
01533.p HAS_SIZE_IMAGE_INJ
01534.p CARD_IMAGE_LE
01535.p CARD_IMAGE_INJ_EQ
01536.p CARD_SUBSET_IMAGE
01537.p HAS_SIZE_IMAGE_INJ_EQ
01538.p CARD_IMAGE_EQ_INJ
01539.p CHOOSE_SUBSET_STRONG
01540.p CHOOSE_SUBSET
01541.p HAS_SIZE_PRODUCT_DEPENDENT
01542.p FORALL_IN_GSPEC_conjunct2
01543.p FORALL_IN_GSPEC_conjunct1
01544.p FORALL_IN_GSPEC_conjunct0
01545.p FINITE_PRODUCT_DEPENDENT
01546.p FINITE_PRODUCT
01547.p CARD_PRODUCT
01548.p HAS_SIZE_PRODUCT
01549.p IN_CROSS
01551.p FINITE_CROSS
01553.p CROSS_EQ_EMPTY
01554.p HAS_SIZE_FUNSPACE
01556.p FINITE_FUNSPACE
01557.p HAS_SIZE_POWERSET
01559.p FINITE_POWERSET
01560.p FINITE_UNIONS
01561.p SING_GSPEC_conjunct1
01562.p SING_GSPEC_conjunct0
01563.p POWERSET_CLAUSES_conjunct0
01564.p HAS_SIZE_NUMSEG_LT
01565.p CARD_NUMSEG_LT
01566.p FINITE_NUMSEG_LT
01567.p HAS_SIZE_NUMSEG_LE
01568.p FINITE_NUMSEG_LE
01570.p num_FINITE
01571.p num_FINITE_AVOID
01572.p Misc_defs_and_lemmas.num_infinite
01573.p num_INFINITE
01581.p FINITE_REAL_INTERVAL_conjunct1
01583.p real_INFINITE
01584.p HAS_SIZE_INDEX
01585.p LIST_OF_SET_PROPERTIES
01586.p SET_OF_LIST_OF_SET
01587.p LENGTH_LIST_OF_SET
01588.p MEM_LIST_OF_SET
01589.p FINITE_SET_OF_LIST
01590.p IN_SET_OF_LIST
01591.p SET_OF_LIST_APPEND
01592.p SET_OF_LIST_MAP
01593.p SET_OF_LIST_EQ_EMPTY
01594.p PAIRWISE_EMPTY
01595.p PAIRWISE_SING
01596.p PAIRWISE_MONO
01597.p PAIRWISE_INSERT
01598.p PAIRWISE_IMAGE
01599.p CARD_SET_OF_LIST_LE
01601.p SURJECTIVE_IFF_INJECTIVE_GEN
01602.p SURJECTIVE_IFF_INJECTIVE
01603.p IMAGE_IMP_INJECTIVE_GEN
01605.p CARD_LE_INJ
01607.p SURJECTIVE_ON_RIGHT_INVERSE
01608.p INJECTIVE_ON_LEFT_INVERSE
01609.p BIJECTIVE_ON_LEFT_RIGHT_INVERSE
01610.p SURJECTIVE_RIGHT_INVERSE
01611.p INJECTIVE_LEFT_INVERSE
01612.p BIJECTIVE_LEFT_RIGHT_INVERSE
01613.p FUNCTION_FACTORS_LEFT_GEN
01614.p FUNCTION_FACTORS_LEFT
01617.p SURJECTIVE_FORALL_THM
01618.p SURJECTIVE_EXISTS_THM
01619.p SURJECTIVE_IMAGE_THM
01620.p IMAGE_INJECTIVE_IMAGE_OF_SUBSET
01621.p INJECTIVE_ON_IMAGE
01622.p INJECTIVE_IMAGE
01623.p SURJECTIVE_ON_IMAGE
01624.p SURJECTIVE_IMAGE
01625.p CARD_EQ_BIJECTION
01626.p CARD_EQ_BIJECTIONS
01627.p BIJECTIONS_HAS_SIZE
01628.p BIJECTIONS_HAS_SIZE_EQ
01629.p BIJECTIONS_CARD_EQ
01630.p WF_FINITE
01631.p LE_C
01632.p GE_C
01633.p SUP_EQ
01634.p SUP
01635.p SUP_FINITE_LEMMA
01636.p SUP_FINITE
01637.p REAL_LE_SUP_FINITE
01638.p REAL_SUP_LE_FINITE
01639.p REAL_LT_SUP_FINITE
01640.p REAL_SUP_LT_FINITE
01641.p REAL_SUP_UNIQUE
01642.p REAL_SUP_LE
01643.p REAL_SUP_LE_SUBSET
01644.p REAL_SUP_BOUNDS
01645.p REAL_ABS_SUP_LE
01646.p REAL_SUP_ASCLOSE
01647.p INF_EQ
01648.p INF
01649.p INF_FINITE_LEMMA
01650.p INF_FINITE
01651.p REAL_LE_INF_FINITE
01652.p REAL_INF_LE_FINITE
01653.p REAL_LT_INF_FINITE
01654.p REAL_INF_LT_FINITE
01655.p REAL_INF_UNIQUE
01656.p REAL_LE_INF
01657.p REAL_LE_INF_SUBSET
01658.p REAL_INF_BOUNDS
01659.p REAL_ABS_INF_LE
01660.p REAL_INF_ASCLOSE
01661.p SUP_UNIQUE_FINITE
01662.p INF_UNIQUE_FINITE
01663.p SUP_INSERT_FINITE
01664.p INF_INSERT_FINITE
01665.p REAL_SUP_EQ_INF
01666.p FINITE_NUMSEG
01667.p NUMSEG_COMBINE_R
01669.p NUMSEG_LREC
01670.p NUMSEG_RREC
01671.p NUMSEG_REC
01672.p IN_NUMSEG
01673.p IN_NUMSEG_0
01674.p NUMSEG_SING
01675.p NUMSEG_EMPTY
01676.p CARD_NUMSEG_LEMMA
01677.p CARD_NUMSEG
01678.p HAS_SIZE_NUMSEG
01679.p CARD_NUMSEG_1
01680.p HAS_SIZE_NUMSEG_1
01681.p NUMSEG_CLAUSES_conjunct1
01682.p NUMSEG_CLAUSES_conjunct0
01683.p FINITE_INDEX_NUMSEG
01685.p DISJOINT_NUMSEG
01686.p NUMSEG_ADD_SPLIT
01687.p NUMSEG_OFFSET_IMAGE
01688.p SUBSET_NUMSEG
01689.p NUMSEG_LE
01690.p NUMSEG_LT
01691.p TOPOLOGICAL_SORT
01692.p MONOIDAL_AC
01693.p IN_SUPPORT
01694.p SUPPORT_SUPPORT
01696.p SUPPORT_SUBSET
01697.p FINITE_SUPPORT
01698.p SUPPORT_DELTA
01700.p ITERATE_SUPPORT
01701.p ITERATE_EXPAND_CASES
01707.p SUPPORT_CLAUSES_conjunct1
01708.p SUPPORT_CLAUSES_conjunct0
01710.p ITERATE_CLAUSES
01711.p ITERATE_UNION
01713.p ITERATE_DIFF
01715.p ITERATE_INCL_EXCL
01716.p ITERATE_CLOSED
01718.p ITERATE_EQ_NEUTRAL
01719.p ITERATE_SING
01720.p ITERATE_DELETE
01721.p ITERATE_DELTA
01722.p ITERATE_IMAGE
01723.p ITERATE_BIJECTION
01724.p ITERATE_ITERATE_PRODUCT
01725.p ITERATE_EQ
01726.p ITERATE_EQ_GENERAL
01727.p ITERATE_EQ_GENERAL_INVERSES
01728.p ITERATE_INJECTION
01729.p ITERATE_UNION_NONZERO
01730.p ITERATE_OP
01731.p ITERATE_SUPERSET
01732.p ITERATE_IMAGE_NONZERO
01733.p ITERATE_CASES
01734.p ITERATE_OP_GEN
01735.p ITERATE_CLAUSES_NUMSEG
01736.p ITERATE_PAIR
01737.p NEUTRAL_ADD
01738.p NEUTRAL_MUL
01739.p MONOIDAL_ADD
01741.p NSUM_UNION
01743.p NSUM_INCL_EXCL
01744.p NSUM_SUPPORT
01745.p NSUM_ADD
01747.p NSUM_EQ_0
01748.p NSUM_0
01749.p NSUM_CLAUSES_conjunct1
01750.p NSUM_CLAUSES_conjunct0
01751.p NSUM_LMUL
01753.p NSUM_LE
01754.p NSUM_LT
01755.p NSUM_LT_ALL
01756.p NSUM_EQ
01757.p NSUM_CONST
01758.p NSUM_POS_BOUND
01759.p NSUM_EQ_0_IFF
01760.p NSUM_DELETE
01761.p NSUM_SING
01763.p NSUM_SWAP
01764.p NSUM_IMAGE
01765.p NSUM_SUPERSET
01766.p NSUM_UNION_RZERO
01769.p NSUM_BOUND
01770.p NSUM_BOUND_GEN
01771.p NSUM_BOUND_LT
01776.p NSUM_RESTRICT_SET
01777.p NSUM_NSUM_RESTRICT
01778.p CARD_EQ_NSUM
01779.p NSUM_MULTICOUNT_GEN
01781.p NSUM_IMAGE_GEN
01783.p NSUM_SUBSET
01791.p NSUM_UNION_NONZERO
01795.p NSUM_ADD_NUMSEG
01796.p NSUM_LE_NUMSEG
01797.p NSUM_EQ_NUMSEG
01799.p NSUM_EQ_0_NUMSEG
01802.p NSUM_SING_NUMSEG
01805.p NSUM_OFFSET
01807.p NSUM_CLAUSES_LEFT
01808.p NSUM_CLAUSES_NUMSEG_conjunct1
01809.p NSUM_CLAUSES_NUMSEG_conjunct0
01812.p MOD_NSUM_MOD
01814.p INTER_UNIONS_conjunct1
01815.p INTER_UNIONS_conjunct0
01817.p NEUTRAL_REAL_ADD
01818.p NEUTRAL_REAL_MUL
01819.p MONOIDAL_REAL_ADD
01820.p MONOIDAL_REAL_MUL
01821.p SUM_UNION
01822.p SUM_DIFF
01823.p SUM_INCL_EXCL
01824.p SUM_SUPPORT
01825.p SUM_ADD
01826.p SUM_ADD_GEN
01827.p SUM_EQ_0
01828.p SUM_0
01829.p SUM_CLAUSES_conjunct1
01830.p SUM_CLAUSES_conjunct0
01831.p SUM_LMUL
01832.p SUM_RMUL
01833.p SUM_NEG
01834.p SUM_SUB
01835.p SUM_LE
01836.p SUM_LT
01837.p SUM_LT_ALL
01838.p SUM_EQ
01839.p SUM_ABS
01840.p SUM_ABS_LE
01841.p SUM_CONST
01842.p SUM_POS_LE
01843.p SUM_POS_BOUND
01844.p SUM_POS_EQ_0
01845.p SUM_ZERO_EXISTS
01846.p SUM_DELETE
01847.p SUM_DELETE_CASES
01848.p SUM_SING
01849.p SUM_DELTA
01850.p SUM_SWAP
01851.p SUM_IMAGE
01852.p SUM_SUPERSET
01853.p SUM_UNION_RZERO
01854.p SUM_UNION_LZERO
01855.p SUM_RESTRICT
01856.p SUM_BOUND
01857.p SUM_BOUND_GEN
01859.p SUM_BOUND_LT
01860.p SUM_BOUND_LT_ALL
01861.p SUM_BOUND_LT_GEN
01862.p SUM_UNION_EQ
01863.p SUM_EQ_SUPERSET
01864.p SUM_RESTRICT_SET
01865.p SUM_SUM_RESTRICT
01866.p CARD_EQ_SUM
01867.p SUM_MULTICOUNT_GEN
01868.p SUM_MULTICOUNT
01869.p SUM_IMAGE_GEN
01870.p SUM_GROUP
01871.p REAL_OF_NUM_SUM
01872.p SUM_SUBSET
01873.p SUM_SUBSET_SIMPLE
01874.p SUM_IMAGE_NONZERO
01876.p SUM_SUM_PRODUCT
01877.p SUM_EQ_GENERAL
01878.p SUM_EQ_GENERAL_INVERSES
01879.p SUM_INJECTION
01880.p SUM_UNION_NONZERO
01881.p SUM_UNIONS_NONZERO
01882.p SUM_CASES
01883.p SUM_CASES_1
01884.p SUM_LE_INCLUDED
01885.p SUM_IMAGE_LE
01886.p SUM_CLOSED
01887.p SUM_ADD_NUMSEG
01888.p SUM_SUB_NUMSEG
01889.p SUM_LE_NUMSEG
01890.p SUM_EQ_NUMSEG
01891.p SUM_ABS_NUMSEG
01892.p SUM_CONST_NUMSEG
01893.p SUM_EQ_0_NUMSEG
01894.p SUM_TRIV_NUMSEG
01895.p SUM_POS_LE_NUMSEG
01896.p SUM_POS_EQ_0_NUMSEG
01897.p SUM_SING_NUMSEG
01898.p SUM_SWAP_NUMSEG
01899.p SUM_ADD_SPLIT
01900.p SUM_OFFSET
01901.p SUM_OFFSET_0
01902.p SUM_CLAUSES_LEFT
01903.p SUM_CLAUSES_NUMSEG_conjunct1
01904.p SUM_CLAUSES_NUMSEG_conjunct0
01905.p SUM_CLAUSES_RIGHT
01906.p SUM_PAIR
01907.p REAL_OF_NUM_SUM_NUMSEG
01908.p SUM_PARTIAL_SUC
01909.p SUM_PARTIAL_PRE
01910.p SUM_DIFFS
01911.p SUM_DIFFS_ALT
01912.p SUM_COMBINE_R
01913.p SUM_COMBINE_L
01914.p REAL_SUB_POW
01915.p REAL_SUB_POW_R1
01917.p REAL_SUB_POLYFUN
01919.p REAL_POLYFUN_ROOTBOUND
01920.p REAL_POLYFUN_FINITE_ROOTS
01921.p REAL_POLYFUN_EQ_0
01923.p DIMINDEX_NONZERO
01924.p DIMINDEX_GE_1
01925.p DIMINDEX_UNIV
01926.p DIMINDEX_UNIQUE
01927.p FINITE_IMAGE_IMAGE
01928.p HAS_SIZE_FINITE_IMAGE
01930.p FINITE_FINITE_IMAGE
01931.p DIMINDEX_FINITE_IMAGE
01932.p FINITE_INDEX_WORKS
01933.p FINITE_INDEX_INJ
01934.p FORALL_FINITE_INDEX
01935.p CART_EQ
01936.p LAMBDA_BETA
01937.p LAMBDA_UNIQUE
01938.p LAMBDA_ETA
01939.p FINITE_INDEX_INRANGE
01940.p FINITE_INDEX_INRANGE_2
01942.p FINITE_SUM_IMAGE
01943.p DIMINDEX_HAS_SIZE_FINITE_SUM
01944.p DIMINDEX_FINITE_SUM
01945.p FSTCART_PASTECART
01946.p SNDCART_PASTECART
01947.p PASTECART_FST_SND
01948.p PASTECART_EQ
01949.p FORALL_PASTECART
01950.p EXISTS_PASTECART
01951.p HAS_SIZE_1
01952.p DIMINDEX_1
01953.p DIMINDEX_2
01954.p DIMINDEX_3
01955.p Hypermap.GE_1
01956.p FINITE_CART
01957.p IN_ELIM_PASTECART_THM
01958.p CASEWISE_conjunct0
01959.p CASEWISE_conjunct1
01960.p CASEWISE_CASES
01961.p CASEWISE_WORKS
01962.p MATCH_SEQPATTERN
01963.p ADMISSIBLE_CONST
01964.p ADMISSIBLE_BASE
01965.p ADMISSIBLE_COMB
01967.p ADMISSIBLE_LAMBDA
01969.p ADMISSIBLE_COND
01975.p ADMISSIBLE_SUM
01978.p ADMISSIBLE_IMP_SUPERADMISSIBLE
01979.p SUPERADMISSIBLE_CONST
01980.p SUPERADMISSIBLE_TAIL
01981.p SUPERADMISSIBLE_COND
01985.p WF_REC_TAIL_GENERAL'
01986.p WF_REC_CASES
01987.p WF_REC_CASES'
01988.p RECURSION_CASEWISE
01989.p RECURSION_CASEWISE_PAIRWISE
01990.p SUPERADMISSIBLE_T
01991.p RECURSION_SUPERADMISSIBLE
01992.p SUBSET_PRED
01993.p UNIONS_PRED
01994.p POSET_REFL
01995.p POSET_TRANS
01996.p POSET_ANTISYM
01997.p POSET_FLEQ
01998.p CHAIN_SUBSET
01999.p WOSET_REFL
02000.p WOSET_TRANS
02001.p WOSET_ANTISYM
02002.p WOSET_TOTAL
02003.p WOSET_WELL
02004.p WOSET_POSET
02007.p WOSET
02008.p PAIRED_EXT
02009.p WOSET_TRANS_LE
02010.p WOSET_WELL_CONTRAPOS
02011.p WOSET_TOTAL_LE
02012.p WOSET_TOTAL_LT
02013.p UNION_FL
02014.p UNION_INSEG
02015.p INSEG_SUBSET
02016.p INSEG_SUBSET_FL
02017.p INSEG_WOSET
02018.p LINSEG_INSEG
02020.p LINSEG_FL
02021.p INSEG_PROPER_SUBSET
02022.p INSEG_PROPER_SUBSET_FL
02023.p INSEG_LINSEG
02024.p EXTEND_FL
02025.p EXTEND_INSEG
02026.p EXTEND_LINSEG
02027.p ORDINAL_CHAINED_LEMMA
02028.p ORDINAL_CHAINED
02029.p FL_SUC
02030.p ORDINAL_SUC
02031.p ORDINAL_UNION
02032.p ORDINAL_UNION_LEMMA
02033.p ORDINAL_UP
02034.p LEMMA
02035.p FL_RESTRICT
02036.p WO
02037.p HP
02038.p ZL
02039.p KL_POSET_LEMMA
02041.p sum_CASES
02042.p FORALL_SUM_THM
02043.p EXISTS_SUM_THM
02044.p POSET_RESTRICTED_SUBSET
02045.p FL_RESTRICTED_SUBSET
02046.p ZL_SUBSETS
02047.p ZL_SUBSETS_UNIONS
02048.p ZL_SUBSETS_UNIONS_NONEMPTY
02049.p FLATTEN_LEMMA
02050.p TARSKI_SET
02051.p INJECTIVE_LEFT_INVERSE_NONEMPTY
02052.p BIJECTIVE_INJECTIVE_SURJECTIVE
02053.p BIJECTIVE_INVERSES
02054.p EQ_C
02055.p CARD_LE_REFL
02056.p CARD_LE_TRANS
02058.p CARD_LET_TRANS
02059.p CARD_LTE_TRANS
02061.p CARD_EQ_REFL
02062.p CARD_EQ_SYM
02063.p CARD_EQ_IMP_LE
02064.p CARD_LT_IMP_LE
02065.p CARD_LE_RELATIONAL
02066.p CARD_LE_EMPTY
02067.p CARD_EQ_EMPTY
02068.p CARD_LE_ANTISYM
02069.p CARD_LE_TOTAL
02073.p CARD_NOT_LE
02074.p CARD_NOT_LT
02075.p CARD_LT_LE
02076.p CARD_LE_LT
02077.p CARD_LE_CONG
02078.p CARD_LT_CONG
02079.p CARD_EQ_TRANS
02080.p CARD_EQ_CONG
02081.p INFINITE_CARD_LE
02082.p FINITE_CARD_LT
02083.p CARD_LE_SUBSET
02084.p CARD_LE_UNIV
02085.p CARD_LE_EQ_SUBSET
02086.p CARD_INFINITE_CONG
02087.p CARD_FINITE_CONG
02088.p CARD_LE_FINITE
02090.p CARD_LE_INFINITE
02091.p CARD_LT_FINITE_INFINITE
02092.p CARD_LE_CARD_IMP
02093.p CARD_EQ_CARD_IMP
02094.p CARD_LE_CARD
02095.p CARD_EQ_CARD
02096.p CARD_LT_CARD
02098.p CARD_LE_IMAGE
02099.p CARD_LE_IMAGE_GEN
02100.p CARD_EQ_IMAGE
02101.p CARD_LE_ADD
02102.p CARD_LE_MUL
02103.p CARD_ADD_CONG
02104.p CARD_MUL_CONG
02105.p IN_CARD_MUL
02106.p CARD_LE_SQUARE
02107.p CARD_SQUARE_NUM
02108.p UNION_LE_ADD_C
02109.p CARD_ADD_C
02110.p IN_CARD_ADD_conjunct1
02111.p IN_CARD_ADD_conjunct0
02114.p CARD_MUL_SYM
02116.p CARD_LDISTRIB
02118.p CARD_LE_ADDR
02119.p CARD_LE_ADDL
02120.p CARD_ADD_LE_MUL_INFINITE
02121.p CARD_DISJOINT_UNION
02122.p CARD_SQUARE_INFINITE
02123.p CARD_ADD_FINITE
02124.p CARD_ADD_FINITE_EQ
02125.p CARD_MUL_FINITE
02126.p CARD_MUL_ABSORB_LE
02127.p CARD_MUL2_ABSORB_LE
02128.p CARD_ADD_ABSORB_LE
02129.p CARD_ADD2_ABSORB_LE
02131.p CARD_ADD_ABSORB
02132.p CARD_ADD2_ABSORB_LT
02134.p CARD_MUL_LT_LEMMA
02136.p CANTOR_THM
02137.p CANTOR_THM_UNIV
02139.p COUNTABLE_ALT
02141.p CARD_LE_COUNTABLE
02142.p CARD_EQ_COUNTABLE
02143.p CARD_COUNTABLE_CONG
02144.p COUNTABLE_SUBSET
02145.p COUNTABLE_RESTRICT
02146.p FINITE_IMP_COUNTABLE
02147.p COUNTABLE_IMAGE
02148.p COUNTABLE_EMPTY
02150.p COUNTABLE_UNION_IMP
02151.p COUNTABLE_UNION
02152.p COUNTABLE_SING
02153.p COUNTABLE_INSERT
02154.p COUNTABLE_DELETE
02156.p COUNTABLE_CROSS
02157.p COUNTABLE_AS_IMAGE_SUBSET
02158.p COUNTABLE_AS_IMAGE_SUBSET_EQ
02159.p COUNTABLE_AS_IMAGE
02160.p FORALL_COUNTABLE_AS_IMAGE
02161.p COUNTABLE_AS_INJECTIVE_IMAGE
02162.p COUNTABLE_UNIONS
02163.p COUNTABLE_PRODUCT_DEPENDENT
02164.p COUNTABLE_CART
02165.p CARD_EQ_LIST
02166.p CARD_EQ_CART
02169.p LE_1_conjunct3
02170.p LE_1_conjunct2
02171.p LE_1_conjunct1
02172.p CARD_EQ_REAL
02173.p UNCOUNTABLE_REAL
02174.p CARD_EQ_REAL_IMP_UNCOUNTABLE
02175.p EXISTS_DIFF
02176.p GE_REFL
02177.p FORALL_SUC
02179.p UPPER_BOUND_FINITE_SET
02180.p UPPER_BOUND_FINITE_SET_REAL
02182.p LOWER_BOUND_FINITE_SET_REAL
02183.p REAL_CONVEX_BOUND2_LT
02184.p REAL_CONVEX_BOUND_LT
02185.p REAL_CONVEX_BOUND_LE
02186.p INFINITE_ENUMERATE
02187.p APPROACHABLE_LT_LE
02188.p REAL_LE_BETWEEN
02189.p REAL_LT_BETWEEN
02190.p TRIANGLE_LEMMA
02191.p LAMBDA_SKOLEM
02192.p LAMBDA_PAIR
02194.p HULL_P
02195.p P_HULL
02196.p HULL_EQ
02197.p HULL_HULL
02198.p HULL_SUBSET
02199.p HULL_MONO
02200.p HULL_ANTIMONO
02201.p HULL_MINIMAL
02202.p SUBSET_HULL
02203.p HULL_UNIQUE
02204.p SUBSET_UNION_conjunct1
02205.p SUBSET_UNION_conjunct0
02206.p HULL_UNION_SUBSET
02208.p HULL_UNION_LEFT
02209.p HULL_UNION_RIGHT
02210.p HULL_REDUNDANT_EQ
02211.p HULL_REDUNDANT
02212.p HULL_INDUCT
02213.p HULL_INC
02214.p HULL_IMAGE_SUBSET
02215.p HULL_IMAGE_GALOIS
02216.p HULL_IMAGE
02217.p IS_HULL
02218.p HULLS_EQ
02220.p REAL_ARCH_INV
02221.p REAL_POW_LBOUND
02222.p REAL_ARCH_POW
02223.p REAL_ARCH_POW2
02224.p REAL_ARCH_POW_INV
02225.p FORALL_POS_MONO
02226.p FORALL_POS_MONO_1
02228.p REAL_MAX_SUP
02229.p REAL_MIN_INF
02230.p SQRT_UNIQUE
02231.p POW_2_SQRT
02233.p SQRT_1
02234.p POW_2_SQRT_ABS
02235.p SUM_GP_BASIC
02236.p SUM_GP_MULTIPLIED
02237.p SUM_GP
02239.p FORALL_1
02240.p FORALL_2
02241.p FORALL_3
02242.p SUM_1
02243.p SUM_2
02244.p Hypermap.THREE
02245.p SUM_3
02246.p DOT_1
02247.p DOT_2
02248.p DOT_3
02249.p VEC_COMPONENT
02250.p VECTOR_ADD_COMPONENT
02251.p VECTOR_SUB_COMPONENT
02252.p VECTOR_NEG_COMPONENT
02253.p VECTOR_MUL_COMPONENT
02254.p COND_COMPONENT
02256.p VECTOR_ADD_LID
02257.p VECTOR_ADD_RID
02258.p VECTOR_SUB_REFL
02259.p VECTOR_ADD_LINV
02260.p VECTOR_ADD_RINV
02261.p VECTOR_SUB_RADD
02262.p VECTOR_NEG_SUB
02263.p VECTOR_SUB_EQ
02264.p VECTOR_MUL_ASSOC
02265.p VECTOR_MUL_LID
02266.p VECTOR_MUL_LZERO
02267.p VECTOR_SUB_ADD
02268.p VECTOR_SUB_ADD2
02269.p VECTOR_ADD_LDISTRIB
02270.p VECTOR_SUB_LDISTRIB
02271.p VECTOR_ADD_RDISTRIB
02272.p VECTOR_SUB_RDISTRIB
02273.p VECTOR_ADD_SUB
02274.p VECTOR_EQ_ADDR
02275.p VECTOR_SUB
02276.p VECTOR_SUB_RZERO
02277.p VECTOR_MUL_RZERO
02278.p VECTOR_NEG_MINUS1
02280.p VECTOR_SUB_LZERO
02281.p VECTOR_NEG_NEG
02282.p VECTOR_MUL_LNEG
02283.p VECTOR_MUL_RNEG
02284.p VECTOR_NEG_0
02285.p VECTOR_NEG_EQ_0
02286.p VECTOR_ADD_AC_conjunct2
02287.p VECTOR_ADD_AC_conjunct1
02289.p VEC_EQ
02290.p EUCLIDEAN_SPACE_INFINITE
02291.p DOT_SYM
02292.p DOT_LADD
02293.p DOT_RADD
02294.p DOT_LSUB
02295.p DOT_RSUB
02296.p DOT_LMUL
02297.p DOT_RMUL
02298.p DOT_LNEG
02299.p DOT_RNEG
02300.p DOT_LZERO
02301.p DOT_RZERO
02302.p DOT_POS_LE
02303.p DOT_EQ_0
02304.p DOT_POS_LT
02305.p FORALL_DIMINDEX_1
02306.p VECTOR_ONE
02307.p FORALL_REAL_ONE
02308.p NORM_REAL
02309.p DIST_REAL
02310.p CONNECTED_REAL_LEMMA
02311.p SQUARE_BOUND_LEMMA
02312.p SQUARE_CONTINUOUS
02313.p SQRT_WORKS
02314.p SQRT_POS_LE
02315.p SQRT_POW_2
02316.p SQRT_MUL
02317.p SQRT_INV
02318.p SQRT_DIV
02319.p SQRT_POW2
02320.p SQRT_MONO_LT
02321.p SQRT_MONO_LE
02322.p SQRT_MONO_LT_EQ
02323.p SQRT_MONO_LE_EQ
02324.p SQRT_INJ
02325.p SQRT_LT_0
02327.p SQRT_POS_LT
02328.p REAL_LE_LSQRT
02329.p REAL_LE_RSQRT
02330.p REAL_LT_RSQRT
02333.p REAL_RSQRT_LE
02334.p REAL_LSQRT_LE
02335.p NORM_0
02336.p NORM_POS_LE
02337.p NORM_NEG
02338.p NORM_SUB
02339.p NORM_MUL
02341.p NORM_EQ_0
02342.p NORM_POS_LT
02343.p NORM_POW_2
02344.p NORM_EQ_0_IMP
02345.p NORM_LE_0
02346.p VECTOR_MUL_EQ_0
02347.p VECTOR_MUL_LCANCEL
02348.p VECTOR_MUL_RCANCEL
02349.p VECTOR_MUL_LCANCEL_IMP
02352.p NORM_CAUCHY_SCHWARZ_ABS
02353.p REAL_ABS_NORM
02354.p NORM_CAUCHY_SCHWARZ_DIV
02356.p NORM_TRIANGLE_SUB
02357.p NORM_TRIANGLE_LE
02358.p NORM_TRIANGLE_LT
02359.p COMPONENT_LE_NORM
02360.p NORM_BOUND_COMPONENT_LE
02361.p NORM_BOUND_COMPONENT_LT
02362.p NORM_LE_L1
02363.p REAL_ABS_SUB_NORM
02364.p NORM_LE
02365.p NORM_LT
02366.p NORM_EQ
02367.p NORM_EQ_1
02368.p NORM_LE_COMPONENTWISE
02369.p DOT_SQUARE_NORM
02370.p NORM_EQ_SQUARE
02371.p NORM_LE_SQUARE
02372.p NORM_GE_SQUARE
02373.p NORM_LT_SQUARE
02375.p NORM_LT_SQUARE_ALT
02376.p DOT_NORM
02377.p DOT_NORM_NEG
02378.p DOT_NORM_SUB
02379.p VECTOR_EQ
02380.p DIST_REFL
02381.p DIST_SYM
02382.p DIST_POS_LE
02383.p DIST_TRIANGLE
02384.p DIST_TRIANGLE_ALT
02385.p DIST_EQ_0
02386.p DIST_POS_LT
02387.p DIST_NZ
02388.p DIST_TRIANGLE_LE
02390.p DIST_TRIANGLE_HALF_L
02391.p DIST_TRIANGLE_HALF_R
02392.p DIST_TRIANGLE_ADD
02393.p DIST_MUL
02395.p DIST_LE_0
02396.p DIST_EQ
02397.p DIST_0
02398.p NEUTRAL_VECTOR_ADD
02399.p MONOIDAL_VECTOR_ADD
02400.p VSUM_CLAUSES_conjunct1
02401.p VSUM_CLAUSES_conjunct0
02402.p VSUM
02403.p VSUM_EQ_0
02404.p VSUM_0
02405.p VSUM_LMUL
02406.p VSUM_RMUL
02407.p VSUM_ADD
02408.p VSUM_SUB
02409.p VSUM_CONST
02410.p VSUM_COMPONENT
02411.p VSUM_IMAGE
02412.p VSUM_UNION
02413.p VSUM_DIFF
02414.p VSUM_DELETE
02415.p VSUM_INCL_EXCL
02416.p VSUM_NEG
02417.p VSUM_EQ
02418.p VSUM_SUPERSET
02419.p VSUM_EQ_SUPERSET
02420.p VSUM_UNION_RZERO
02421.p VSUM_UNION_LZERO
02422.p VSUM_RESTRICT
02423.p VSUM_RESTRICT_SET
02424.p VSUM_CASES
02425.p VSUM_SING
02426.p VSUM_NORM
02427.p VSUM_NORM_LE
02428.p VSUM_NORM_TRIANGLE
02430.p VSUM_CLAUSES_NUMSEG_conjunct1
02431.p VSUM_CLAUSES_NUMSEG_conjunct0
02432.p VSUM_CLAUSES_RIGHT
02434.p VSUM_EQ_NUMSEG
02435.p VSUM_IMAGE_GEN
02436.p VSUM_GROUP
02437.p VSUM_VMUL
02438.p VSUM_DELTA
02439.p VSUM_ADD_NUMSEG
02440.p VSUM_SUB_NUMSEG
02441.p VSUM_ADD_SPLIT
02442.p VSUM_VSUM_PRODUCT
02443.p VSUM_IMAGE_NONZERO
02444.p VSUM_UNION_NONZERO
02445.p VSUM_UNIONS_NONZERO
02446.p VSUM_CLAUSES_LEFT
02447.p VSUM_DIFFS
02448.p VSUM_DIFFS_ALT
02449.p VSUM_DELETE_CASES
02450.p VSUM_EQ_GENERAL
02451.p VSUM_EQ_GENERAL_INVERSES
02452.p VSUM_NORM_ALLSUBSETS_BOUND
02453.p DOT_LSUM
02454.p DOT_RSUM
02455.p VSUM_OFFSET
02456.p VSUM_OFFSET_0
02457.p VSUM_TRIV_NUMSEG
02458.p VSUM_CONST_NUMSEG
02461.p VSUM_PARTIAL_SUC
02463.p VSUM_COMBINE_L
02464.p VSUM_COMBINE_R
02466.p VSUM_SWAP
02468.p VSUM_ADD_GEN
02470.p VSUM_SING_NUMSEG
02472.p VSUM_2
02474.p VSUM_PAIR
02475.p VSUM_PAIR_0
02476.p NORM_BASIS
02477.p NORM_BASIS_1
02478.p VECTOR_CHOOSE_SIZE
02479.p VECTOR_CHOOSE_DIST
02480.p BASIS_INJ
02481.p BASIS_NE
02482.p BASIS_COMPONENT
02483.p BASIS_EXPANSION
02484.p BASIS_EXPANSION_UNIQUE
02485.p DOT_BASIS
02486.p DOT_BASIS_BASIS
02487.p DOT_BASIS_BASIS_UNEQUAL
02488.p BASIS_EQ_0
02489.p BASIS_NONZERO
02490.p VECTOR_EQ_LDOT
02491.p VECTOR_EQ_RDOT
02492.p ORTHOGONAL_0
02493.p ORTHOGONAL_REFL
02494.p ORTHOGONAL_SYM
02495.p ORTHOGONAL_LNEG
02496.p ORTHOGONAL_RNEG
02497.p ORTHOGONAL_BASIS
02498.p ORTHOGONAL_BASIS_BASIS
02499.p VECTOR_1
02500.p FORALL_VECTOR_1
02501.p VECTOR_2_conjunct1
02502.p VECTOR_2_conjunct0
02503.p FORALL_VECTOR_2
02504.p VECTOR_3_conjunct2
02505.p VECTOR_3_conjunct1
02506.p VECTOR_3_conjunct0
02507.p FORALL_VECTOR_3
02508.p EXISTS_VECTOR_1
02511.p LINEAR_COMPOSE_CMUL
02512.p LINEAR_COMPOSE_NEG
02513.p LINEAR_COMPOSE_ADD
02514.p LINEAR_COMPOSE_SUB
02515.p LINEAR_COMPOSE
02516.p LINEAR_ID
02518.p LINEAR_ZERO
02519.p LINEAR_NEGATION
02520.p LINEAR_COMPOSE_VSUM
02521.p LINEAR_VMUL_COMPONENT
02522.p LINEAR_0
02523.p LINEAR_CMUL
02524.p LINEAR_NEG
02525.p LINEAR_ADD
02526.p LINEAR_SUB
02527.p LINEAR_VSUM
02529.p LINEAR_INJECTIVE_0
02530.p LINEAR_BOUNDED
02531.p LINEAR_BOUNDED_POS
02533.p BILINEAR_LADD
02534.p BILINEAR_RADD
02535.p BILINEAR_LMUL
02536.p BILINEAR_RMUL
02537.p BILINEAR_LNEG
02538.p BILINEAR_RNEG
02539.p BILINEAR_LZERO
02540.p BILINEAR_RZERO
02541.p BILINEAR_LSUB
02542.p BILINEAR_RSUB
02543.p BILINEAR_VSUM
02544.p BILINEAR_BOUNDED
02545.p BILINEAR_BOUNDED_POS
02546.p BILINEAR_VSUM_PARTIAL_SUC
02547.p BILINEAR_VSUM_PARTIAL_PRE
02548.p ADJOINT_WORKS
02549.p ADJOINT_LINEAR
02550.p ADJOINT_CLAUSES
02551.p ADJOINT_ADJOINT
02552.p ADJOINT_UNIQUE
02553.p MATRIX_CMUL_COMPONENT
02554.p MATRIX_ADD_COMPONENT
02555.p MATRIX_SUB_COMPONENT
02556.p MATRIX_NEG_COMPONENT
02557.p TRANSP_COMPONENT
02558.p MAT_COMPONENT
02559.p MATRIX_CMUL_ASSOC
02560.p MATRIX_CMUL_LID
02561.p MATRIX_ADD_SYM
02562.p MATRIX_ADD_ASSOC
02564.p MATRIX_ADD_RID
02566.p MATRIX_ADD_RNEG
02567.p MATRIX_SUB
02569.p MATRIX_ADD_LDISTRIB
02570.p MATRIX_MUL_LID
02571.p MATRIX_MUL_RID
02572.p MATRIX_MUL_ASSOC
02573.p MATRIX_MUL_LZERO
02575.p MATRIX_ADD_RDISTRIB
02578.p MATRIX_MUL_LMUL
02579.p MATRIX_MUL_RMUL
02580.p MATRIX_CMUL_ADD_LDISTRIB
02585.p MATRIX_CMUL_LZERO
02586.p MATRIX_NEG_MINUS1
02594.p MATRIX_VECTOR_MUL_ASSOC
02595.p MATRIX_VECTOR_MUL_LID
02597.p MATRIX_VECTOR_MUL_RZERO
02599.p MATRIX_VECTOR_MUL_SUB_LDISTRIB
02600.p MATRIX_VECTOR_MUL_ADD_RDISTRIB
02601.p MATRIX_VECTOR_MUL_SUB_RDISTRIB
02602.p MATRIX_VECTOR_MUL_RMUL
02603.p MATRIX_TRANSP_MUL
02604.p MATRIX_EQ
02605.p MATRIX_VECTOR_MUL_COMPONENT
02606.p DOT_LMUL_MATRIX
02607.p TRANSP_MATRIX_CMUL
02609.p TRANSP_MATRIX_SUB
02611.p TRANSP_MAT
02612.p TRANSP_TRANSP
02613.p TRANSP_EQ
02614.p ROW_TRANSP
02615.p COLUMN_TRANSP
02616.p ROWS_TRANSP
02617.p COLUMNS_TRANSP
02618.p VECTOR_MATRIX_MUL_TRANSP
02623.p MATRIX_EQUAL_COLUMNS
02624.p MATRIX_MUL_DOT
02625.p MATRIX_MUL_VSUM
02626.p VECTOR_COMPONENTWISE
02627.p LINEAR_COMPONENTWISE
02628.p MATRIX_INV
02629.p MATRIX_VECTOR_MUL_LINEAR
02630.p MATRIX_WORKS
02631.p MATRIX_VECTOR_MUL
02632.p MATRIX_OF_MATRIX_VECTOR_MUL
02633.p MATRIX_COMPOSE
02634.p MATRIX_VECTOR_COLUMN
02635.p MATRIX_MUL_COMPONENT
02636.p ADJOINT_MATRIX
02637.p MATRIX_ADJOINT
02638.p MATRIX_ID
02639.p MATRIX_I
02640.p LINEAR_EQ_MATRIX
02641.p MATRIX_SELF_ADJOINT
02642.p NORM_BOUND_GENERALIZE
02643.p ONORM
02644.p ONORM_POS_LE
02645.p ONORM_EQ_0
02646.p ONORM_CONST
02647.p ONORM_POS_LT
02648.p ONORM_COMPOSE
02649.p ONORM_NEG_LEMMA
02650.p ONORM_NEG
02651.p ONORM_TRIANGLE
02654.p LIFT_COMPONENT
02655.p LIFT_DROP_conjunct1
02656.p LIFT_DROP_conjunct0
02657.p FORALL_LIFT
02658.p EXISTS_LIFT
02659.p FORALL_DROP
02660.p EXISTS_DROP
02661.p FORALL_LIFT_FUN
02662.p FORALL_DROP_FUN
02665.p LIFT_EQ
02666.p DROP_EQ
02667.p LIFT_IN_IMAGE_LIFT
02668.p LIFT_NUM
02669.p LIFT_ADD
02670.p LIFT_SUB
02671.p LIFT_CMUL
02672.p LIFT_NEG
02673.p LIFT_EQ_CMUL
02674.p LIFT_SUM
02676.p DROP_VEC
02677.p DROP_ADD
02678.p DROP_SUB
02679.p DROP_CMUL
02680.p DROP_NEG
02681.p DROP_VSUM
02682.p NORM_LIFT
02683.p DIST_LIFT
02684.p ABS_DROP
02685.p LINEAR_VMUL_DROP
02686.p LINEAR_FROM_REALS
02688.p DROP_EQ_0
02689.p VSUM_REAL
02690.p DROP_WLOG_LE
02691.p IMAGE_LIFT_UNIV
02692.p IMAGE_DROP_UNIV
02693.p SUM_VSUM
02694.p LINEAR_LIFT_DOT
02695.p LINEAR_LIFT_COMPONENT
02696.p LINEAR_FSTCART
02697.p LINEAR_SNDCART
02698.p FSTCART_VEC
02699.p FSTCART_ADD
02700.p FSTCART_CMUL
02701.p FSTCART_NEG
02702.p FSTCART_SUB
02703.p FSTCART_VSUM
02704.p SNDCART_VEC
02705.p SNDCART_ADD
02706.p SNDCART_CMUL
02707.p SNDCART_NEG
02708.p SNDCART_SUB
02709.p SNDCART_VSUM
02710.p PASTECART_VEC
02711.p PASTECART_ADD
02712.p PASTECART_CMUL
02713.p PASTECART_NEG
02714.p PASTECART_SUB
02716.p PASTECART_EQ_VEC
02717.p NORM_FSTCART
02719.p NORM_SNDCART
02721.p DOT_PASTECART
02722.p NORM_PASTECART
02723.p NORM_PASTECART_LE
02724.p NORM_LE_PASTECART
02725.p NORM_PASTECART_0_conjunct1
02726.p NORM_PASTECART_0_conjunct0
02727.p SUBSPACE_UNIV
02728.p SUBSPACE_IMP_NONEMPTY
02729.p SUBSPACE_0
02730.p SUBSPACE_ADD
02731.p SUBSPACE_MUL
02732.p SUBSPACE_NEG
02733.p SUBSPACE_SUB
02734.p SUBSPACE_VSUM
02735.p SUBSPACE_LINEAR_IMAGE
02736.p SUBSPACE_LINEAR_PREIMAGE
02737.p SUBSPACE_TRIVIAL
02738.p SUBSPACE_INTER
02740.p LINEAR_INJECTIVE_0_SUBSPACE
02742.p SPAN_SPAN
02743.p SPAN_MONO
02744.p SUBSPACE_SPAN
02745.p SPAN_INDUCT
02746.p SPAN_EMPTY
02747.p INDEPENDENT_EMPTY
02748.p INDEPENDENT_NONZERO
02749.p INDEPENDENT_MONO
02751.p SPAN_SUBSPACE
02752.p SPAN_INDUCT_ALT
02753.p SPAN_SUPERSET
02754.p SPAN_INC
02756.p SPAN_UNIV
02757.p SPAN_0
02758.p SPAN_ADD
02759.p SPAN_MUL
02760.p SPAN_MUL_EQ
02761.p SPAN_NEG
02762.p SPAN_NEG_EQ
02763.p SPAN_SUB
02764.p SPAN_VSUM
02765.p SPAN_ADD_EQ
02766.p SPAN_EQ_SELF
02767.p SPAN_SUBSET_SUBSPACE
02768.p SPAN_CLAUSES_conjunct3
02769.p SPAN_CLAUSES_conjunct2
02770.p SPAN_CLAUSES_conjunct1
02771.p SPAN_CLAUSES_conjunct0
02772.p SUBSPACE_TRANSLATION_SELF
02774.p SUBSPACE_SUMS
02775.p SPAN_UNION
02776.p SPAN_LINEAR_IMAGE
02777.p DEPENDENT_LINEAR_IMAGE_EQ
02779.p INDEPENDENT_LINEAR_IMAGE_EQ
02780.p SPAN_BREAKDOWN
02781.p SPAN_BREAKDOWN_EQ
02782.p SPAN_INSERT_0
02783.p SPAN_SING
02784.p SPAN_2
02785.p SPAN_3
02786.p IN_SPAN_INSERT
02787.p IN_SPAN_DELETE
02788.p EQ_SPAN_INSERT_EQ
02789.p SPAN_TRANS
02790.p SPAN_EXPLICIT
02791.p DEPENDENT_EXPLICIT
02792.p DEPENDENT_FINITE
02793.p SPAN_FINITE
02794.p SPAN_STDBASIS
02795.p HAS_SIZE_STDBASIS
02796.p FINITE_STDBASIS
02797.p CARD_STDBASIS
02798.p IN_SPAN_IMAGE_BASIS
02799.p INDEPENDENT_STDBASIS
02800.p INDEPENDENT_INSERT
02801.p SPANNING_SUBSET_INDEPENDENT
02802.p EXCHANGE_LEMMA
02803.p INDEPENDENT_SPAN_BOUND
02804.p INDEPENDENT_BOUND
02805.p DEPENDENT_BIGGERSET
02806.p INDEPENDENT_IMP_FINITE
02807.p INDEPENDENT_EXPLICIT
02809.p INDEPENDENT_3
02810.p MAXIMAL_INDEPENDENT_SUBSET_EXTEND
02811.p MAXIMAL_INDEPENDENT_SUBSET
02812.p BASIS_EXISTS
02813.p BASIS_EXISTS_FINITE
02814.p BASIS_SUBSPACE_EXISTS
02815.p INDEPENDENT_CARD_LE_DIM
02816.p SPAN_CARD_GE_DIM
02817.p BASIS_CARD_EQ_DIM
02818.p BASIS_HAS_SIZE_DIM
02819.p DIM_UNIQUE
02820.p DIM_LE_CARD
02821.p DIM_UNIV
02822.p DIM_SUBSET
02823.p DIM_SUBSET_UNIV
02824.p BASIS_HAS_SIZE_UNIV
02825.p CARD_GE_DIM_INDEPENDENT
02826.p CARD_LE_DIM_SPANNING
02827.p CARD_EQ_DIM
02828.p INDEPENDENT_BOUND_GENERAL
02829.p DEPENDENT_BIGGERSET_GENERAL
02830.p DIM_SPAN
02831.p DIM_INSERT_0
02832.p DIM_EQ_CARD
02833.p SUBSET_LE_DIM
02834.p SPAN_EQ_DIM
02835.p SPANS_IMAGE
02836.p DIM_LINEAR_IMAGE_LE
02837.p DIM_EMPTY
02838.p DIM_INSERT
02839.p DIM_SING
02840.p DIM_EQ_0
02842.p INDEPENDENT_INJECTIVE_IMAGE_GEN
02843.p INDEPENDENT_INJECTIVE_IMAGE
02844.p VECTOR_SUB_PROJECT_ORTHOGONAL
02845.p BASIS_ORTHOGONAL
02847.p SPAN_EQ
02848.p LINEAR_INDEP_IMAGE_LEMMA
02849.p LINEAR_INDEPENDENT_EXTEND_LEMMA
02850.p LINEAR_INDEPENDENT_EXTEND
02851.p SUBSPACE_KERNEL
02852.p LINEAR_EQ_0_SPAN
02853.p LINEAR_EQ_0
02854.p LINEAR_EQ
02855.p LINEAR_EQ_STDBASIS
02856.p BILINEAR_EQ
02858.p LEFT_INVERTIBLE_TRANSP
02859.p RIGHT_INVERTIBLE_TRANSP
02860.p LINEAR_INJECTIVE_LEFT_INVERSE
02861.p LINEAR_SURJECTIVE_RIGHT_INVERSE
02862.p MATRIX_LEFT_INVERTIBLE_INJECTIVE
02863.p MATRIX_LEFT_INVERTIBLE_KER
02864.p MATRIX_RIGHT_INVERTIBLE_SURJECTIVE
02865.p MATRIX_LEFT_INVERTIBLE_INDEPENDENT_COLUMNS
02866.p MATRIX_RIGHT_INVERTIBLE_INDEPENDENT_ROWS
02867.p MATRIX_RIGHT_INVERTIBLE_SPAN_COLUMNS
02868.p MATRIX_LEFT_INVERTIBLE_SPAN_ROWS
02869.p LINEAR_INJECTIVE_IMP_SURJECTIVE
02870.p LINEAR_SURJECTIVE_IMP_INJECTIVE
02871.p LINEAR_SURJECTIVE_IFF_INJECTIVE
02872.p LEFT_RIGHT_INVERSE_EQ
02873.p ISOMORPHISM_EXPAND
02874.p LINEAR_INJECTIVE_ISOMORPHISM
02875.p LINEAR_SURJECTIVE_ISOMORPHISM
02876.p LINEAR_INVERSE_LEFT
02878.p RIGHT_INVERSE_LINEAR
02879.p LEFT_RIGHT_INVERSE_LINEAR
02880.p LINEAR_BIJECTIVE_LEFT_RIGHT_INVERSE
02881.p MATRIX_LEFT_RIGHT_INVERSE
02882.p MATRIX_LEFT_INVERTIBLE
02884.p INVERTIBLE_LEFT_INVERSE
02885.p INVERTIBLE_RIGHT_INVERSE
02886.p MATRIX_INVERTIBLE
02887.p LINEAR_INVERTIBLE_BOUNDED_BELOW_POS
02889.p LINEAR_INJECTIVE_BOUNDED_BELOW_POS
02890.p DIM_INJECTIVE_LINEAR_IMAGE
02891.p TRANSP_COLUMNVECTOR
02893.p DOT_ROWVECTOR_COLUMNVECTOR
02894.p DOT_MATRIX_PRODUCT
02895.p DOT_MATRIX_VECTOR_MUL
02896.p MATRIX_VECTOR_MUL_IN_COLUMNSPACE
02905.p ORTHOGONAL_CLAUSES_conjunct1
02906.p ORTHOGONAL_CLAUSES_conjunct0
02907.p SUBSPACE_ORTHOGONAL_TO_VECTOR
02909.p ORTHOGONAL_TO_SPAN
02910.p ORTHOGONAL_TO_SPAN_EQ
02911.p ORTHOGONAL_TO_SPANS_EQ
02912.p ORTHOGONAL_NULLSPACE_ROWSPACE
02913.p NULLSPACE_INTER_ROWSPACE
02914.p MATRIX_VECTOR_MUL_INJECTIVE_ON_ROWSPACE
02915.p DIM_ROWS_LE_DIM_COLUMNS
02916.p RANK_ROW
02917.p RANK_TRANSP
02918.p MATRIX_VECTOR_MUL_BASIS
02919.p COLUMNS_IMAGE_BASIS
02920.p RANK_DIM_IM
02921.p DIM_EQ_SPAN
02922.p DIM_EQ_FULL
02923.p DIM_PSUBSET
02924.p RANK_BOUND
02925.p FULL_RANK_INJECTIVE
02926.p FULL_RANK_SURJECTIVE
02928.p MATRIX_NONFULL_LINEAR_EQUATIONS_EQ
02929.p MATRIX_NONFULL_LINEAR_EQUATIONS
02931.p FORALL_DOT_EQ_0_conjunct1
02932.p FORALL_DOT_EQ_0_conjunct0
02933.p RANK_EQ_0
02934.p RANK_0
02935.p RANK_MUL_LE_RIGHT
02937.p ADJOINT_INJECTIVE
02938.p ADJOINT_SURJECTIVE
02939.p ADJOINT_INJECTIVE_INJECTIVE
02940.p ADJOINT_INJECTIVE_INJECTIVE_0
02941.p LINEAR_SINGULAR_INTO_HYPERPLANE
02942.p LINEAR_SINGULAR_IMAGE_HYPERPLANE
02943.p LOWDIM_EXPAND_DIMENSION
02944.p LOWDIM_EXPAND_BASIS
02945.p SPAN_DELETE_0
02946.p SPAN_IMAGE_SCALE
02947.p PAIRWISE_ORTHOGONAL_INDEPENDENT
02948.p PAIRWISE_ORTHOGONAL_IMP_FINITE
02949.p GRAM_SCHMIDT_STEP
02950.p ORTHOGONAL_EXTENSION
02951.p ORTHOGONAL_EXTENSION_STRONG
02952.p ORTHONORMAL_EXTENSION
02953.p VECTOR_IN_ORTHOGONAL_SPANNINGSET
02954.p VECTOR_IN_ORTHOGONAL_BASIS
02955.p VECTOR_IN_ORTHONORMAL_BASIS
02956.p ORTHOGONAL_SPANNINGSET_SUBSPACE
02957.p ORTHOGONAL_BASIS_SUBSPACE
02958.p ORTHONORMAL_BASIS_SUBSPACE
02959.p ORTHOGONAL_TO_SUBSPACE_EXISTS_GEN
02960.p ORTHOGONAL_TO_SUBSPACE_EXISTS
02962.p SPAN_NOT_UNIV_ORTHOGONAL
02963.p SPAN_NOT_UNIV_SUBSET_HYPERPLANE
02964.p LOWDIM_SUBSET_HYPERPLANE
02965.p ORTHOGONAL_SUBSPACE_DECOMP_UNIQUE
02966.p ORTHOGONAL_SUBSPACE_DECOMP_EXISTS
02968.p ISOMETRY_SUBSPACES
02969.p ISOMETRY_UNIV_SUBSPACE
02970.p ISOMETRY_UNIV_SUPERSET_SUBSPACE
02972.p SUBSPACE_ISOMORPHISM
02973.p ISOMORPHISMS_UNIV_UNIV
02974.p SUBSPACE_HYPERPLANE
02975.p SUBSPACE_SPECIAL_HYPERPLANE
02976.p SPECIAL_HYPERPLANE_SPAN
02977.p DIM_SPECIAL_HYPERPLANE
02978.p DIM_IMAGE_KERNEL_GEN
02979.p DIM_IMAGE_KERNEL
02980.p DIM_SUMS_INTER
02981.p DIM_KERNEL_COMPOSE
02982.p DIM_ORTHOGONAL_SUM
02983.p DIM_SUBSPACE_ORTHOGONAL_TO_VECTORS
02984.p RANK_NULLSPACE
02985.p RANK_SYLVESTER
02988.p NUMSEG_DIMINDEX_NONEMPTY
02989.p INFNORM_SET_IMAGE
02990.p INFNORM_SET_LEMMA_conjunct1
02991.p INFNORM_SET_LEMMA_conjunct0
02992.p INFNORM_POS_LE
02993.p INFNORM_TRIANGLE
02994.p INFNORM_EQ_0
02995.p INFNORM_0
02996.p INFNORM_NEG
02997.p INFNORM_SUB
02998.p REAL_ABS_SUB_INFNORM
02999.p REAL_ABS_INFNORM
03000.p COMPONENT_LE_INFNORM
03001.p INFNORM_MUL_LEMMA
03002.p INFNORM_MUL
03003.p INFNORM_POS_LT
03004.p INFNORM_LE_NORM
03005.p NORM_LE_INFNORM
03006.p NORM_CAUCHY_SCHWARZ_EQ
03007.p NORM_CAUCHY_SCHWARZ_ABS_EQ
03008.p NORM_TRIANGLE_EQ
03009.p DIST_TRIANGLE_EQ
03010.p NORM_CROSS_MULTIPLY
03011.p COLLINEAR_SUBSET
03012.p COLLINEAR_EMPTY
03013.p COLLINEAR_SING
03014.p COLLINEAR_2
03015.p COLLINEAR_SMALL
03016.p COLLINEAR_3
03017.p COLLINEAR_LEMMA
03018.p COLLINEAR_LEMMA_ALT
03019.p NORM_CAUCHY_SCHWARZ_EQUAL
03020.p DOT_CAUCHY_SCHWARZ_EQUAL
03021.p COLLINEAR_3_EXPAND
03022.p COLLINEAR_TRIPLES
03023.p COLLINEAR_4_3
03024.p COLLINEAR_3_TRANS
03027.p BETWEEN_REFL
03028.p BETWEEN_REFL_EQ
03029.p BETWEEN_SYM
03030.p BETWEEN_ANTISYM
03031.p BETWEEN_TRANS
03032.p BETWEEN_TRANS_2
03033.p BETWEEN_NORM
03034.p BETWEEN_DOT
03035.p BETWEEN_IMP_COLLINEAR
03036.p COLLINEAR_BETWEEN_CASES
03037.p COLLINEAR_DIST_BETWEEN
03039.p MIDPOINT_REFL
03041.p DIST_MIDPOINT
03042.p MIDPOINT_EQ_ENDPOINT
03043.p BETWEEN_MIDPOINT
03044.p MIDPOINT_LINEAR_IMAGE
03045.p COLLINEAR_MIDPOINT
03046.p MIDPOINT_COLLINEAR
03047.p WLOG_LINEAR_INJECTIVE_IMAGE_2
03049.p WLOG_LINEAR_INJECTIVE_IMAGE
03051.p SUBSPACE_LINEAR_IMAGE_EQ
03052.p LINEAR_SCALING
03053.p INJECTIVE_SCALING
03054.p SURJECTIVE_SCALING
03055.p PRESERVES_NORM_PRESERVES_DOT
03056.p PRESERVES_NORM_INJECTIVE
03057.p ORTHOGONAL_LINEAR_IMAGE_EQ
03058.p MEM_TRANSLATION
03059.p MEM_LINEAR_IMAGE
03060.p QUANTIFY_SURJECTION_THM
03061.p QUANTIFY_SURJECTION_HIGHER_THM
03062.p SURJECTIVE_INVERSE
03063.p SURJECTIVE_INVERSE_o
03064.p INJECTIVE_INVERSE
03065.p INJECTIVE_INVERSE_o
03066.p INVERSE_UNIQUE_o
03067.p INVERSE_I
03068.p SWAP_REFL
03069.p SWAP_SYM
03070.p SWAP_IDEMPOTENT
03071.p INVERSE_SWAP
03072.p SWAP_GALOIS
03073.p PERMUTES_IN_IMAGE
03074.p PERMUTES_IMAGE
03075.p PERMUTES_INJECTIVE
03076.p PERMUTES_SURJECTIVE
03077.p PERMUTES_INVERSES_o
03078.p PERMUTES_INVERSES
03079.p PERMUTES_SUBSET
03080.p PERMUTES_EMPTY
03081.p PERMUTES_SING
03083.p PERMUTES_INVERSE_EQ
03084.p PERMUTES_SWAP
03085.p PERMUTES_SUPERSET
03086.p PERMUTES_I
03087.p PERMUTES_COMPOSE
03088.p PERMUTES_INVERSE
03089.p PERMUTES_INVERSE_INVERSE
03090.p PERMUTES_INSERT_LEMMA
03091.p PERMUTES_INSERT
03092.p HAS_SIZE_PERMUTATIONS
03093.p FINITE_PERMUTATIONS
03094.p CARD_PERMUTATIONS
03095.p PERMUTES_FINITE_INJECTIVE
03096.p PERMUTES_FINITE_SURJECTIVE
03097.p ITERATE_PERMUTE
03098.p NSUM_PERMUTE
03100.p SUM_PERMUTE
03102.p SWAP_COMMON
03103.p SWAP_COMMON'
03104.p SWAP_INDEPENDENT
03106.p PERMUTATION_I
03107.p SWAPSEQ_SWAP
03108.p PERMUTATION_SWAP
03109.p SWAPSEQ_COMPOSE
03110.p PERMUTATION_COMPOSE
03111.p SWAPSEQ_ENDSWAP
03112.p SWAPSEQ_INVERSE_EXISTS
03113.p SWAPSEQ_INVERSE
03114.p PERMUTATION_INVERSE
03116.p SWAP_GENERAL
03117.p FIXING_SWAPSEQ_DECREASE
03118.p SWAPSEQ_IDENTITY_EVEN
03119.p SWAPSEQ_EVEN_EVEN
03120.p EVENPERM_UNIQUE
03121.p EVENPERM_I
03122.p EVENPERM_SWAP
03123.p EVENPERM_COMPOSE
03124.p EVENPERM_INVERSE
03125.p PERMUTATION_BIJECTIVE
03126.p PERMUTATION_FINITE_SUPPORT
03127.p PERMUTATION_LEMMA
03128.p PERMUTATION
03129.p PERMUTATION_INVERSE_WORKS
03130.p PERMUTATION_INVERSE_COMPOSE
03131.p PERMUTATION_COMPOSE_EQ_conjunct1
03132.p PERMUTATION_COMPOSE_EQ_conjunct0
03134.p PERMUTATION_PERMUTES
03136.p SIGN_NZ
03137.p SIGN_I
03138.p SIGN_INVERSE
03139.p SIGN_COMPOSE
03140.p SIGN_SWAP
03141.p SIGN_IDEMPOTENT
03142.p REAL_ABS_SIGN
03143.p PERMUTES_NUMSET_LE
03144.p PERMUTES_NUMSET_GE
03145.p IMAGE_INVERSE_PERMUTATIONS
03146.p IMAGE_COMPOSE_PERMUTATIONS_L
03147.p IMAGE_COMPOSE_PERMUTATIONS_R
03148.p PERMUTES_IN_NUMSEG
03149.p SUM_PERMUTATIONS_INVERSE
03151.p SUM_PERMUTATIONS_COMPOSE_R
03152.p SUM_OVER_PERMUTATIONS_INSERT
03154.p INTEGER_CASES
03155.p REAL_ABS_INTEGER_LEMMA
03162.p INTEGER_CLOSED_conjunct0
03163.p INTEGER_POW
03165.p REAL_LE_CASES_INTEGERS
03166.p REAL_LE_REVERSE_INTEGERS
03167.p REAL_LT_INTEGERS
03168.p REAL_EQ_INTEGERS
03169.p REAL_EQ_INTEGERS_IMP
03170.p INTEGER_NEG
03171.p INTEGER_ABS
03172.p INTEGER_POS
03175.p FORALL_INTEGER
03176.p INTEGER_SUM
03178.p RATIONAL_INTEGER
03179.p RATIONAL_NUM
03180.p RATIONAL_NEG
03182.p RATIONAL_INV
03183.p RATIONAL_ADD
03184.p RATIONAL_SUB
03185.p RATIONAL_MUL
03186.p RATIONAL_DIV
03187.p RATIONAL_POW
03191.p REAL_TRUNCATE_POS
03193.p FLOOR_UNIQUE
03195.p FLOOR
03197.p FRAC_FLOOR
03198.p FLOOR_NUM
03199.p REAL_LE_FLOOR
03200.p REAL_FLOOR_LE
03201.p FLOOR_POS
03203.p FLOOR_MONO
03204.p REAL_FLOOR_EQ
03205.p REAL_FLOOR_LT
03206.p REAL_FRAC_EQ_0
03207.p REAL_FRAC_POS_LT
03208.p FRAC_NUM
03209.p REAL_FLOOR_REFL
03210.p REAL_FRAC_ZERO
03211.p REAL_FLOOR_ADD
03212.p REAL_FRAC_ADD
03213.p FLOOR_POS_LE
03214.p FRAC_UNIQUE
03215.p REAL_FRAC_EQ
03217.p REAL_OF_INT_OF_REAL
03219.p FINITE_INTSEG
03220.p HAS_SIZE_INTSEG_INT
03221.p CARD_INTSEG_INT
03223.p INFINITE_INTEGER
03226.p RATIONAL_APPROXIMATION
03227.p RATIONAL_APPROXIMATION_STRADDLE
03228.p PRODUCT_UNION
03229.p PRODUCT_IMAGE
03230.p PRODUCT_ADD_SPLIT
03231.p PRODUCT_CLAUSES_conjunct1
03232.p PRODUCT_CLAUSES_conjunct0
03233.p PRODUCT_POS_LE
03234.p PRODUCT_POS_LE_NUMSEG
03235.p PRODUCT_POS_LT
03236.p PRODUCT_POS_LT_NUMSEG
03237.p PRODUCT_OFFSET
03238.p PRODUCT_SING
03239.p PRODUCT_SING_NUMSEG
03240.p PRODUCT_EQ
03241.p PRODUCT_EQ_NUMSEG
03242.p PRODUCT_EQ_0
03243.p PRODUCT_EQ_0_NUMSEG
03244.p PRODUCT_LE
03245.p PRODUCT_LE_NUMSEG
03246.p PRODUCT_EQ_1
03247.p PRODUCT_EQ_1_NUMSEG
03248.p PRODUCT_MUL
03249.p PRODUCT_MUL_NUMSEG
03250.p PRODUCT_CONST
03251.p PRODUCT_CONST_NUMSEG
03252.p PRODUCT_CONST_NUMSEG_1
03253.p PRODUCT_INV
03254.p PRODUCT_DIV
03258.p PRODUCT_ABS
03259.p PRODUCT_CLOSED
03264.p TRACE_MUL_SYM
03265.p IN_DIMINDEX_SWAP
03266.p LAMBDA_BETA_PERM
03267.p PRODUCT_PERMUTE
03268.p PRODUCT_PERMUTE_NUMSEG
03269.p REAL_MUL_SUM
03271.p DET_TRANSP
03272.p DET_LOWERTRIANGULAR
03273.p DET_UPPERTRIANGULAR
03274.p DET_DIAGONAL
03275.p DET_I
03277.p DET_PERMUTE_ROWS
03278.p DET_PERMUTE_COLUMNS
03279.p DET_IDENTICAL_ROWS
03281.p DET_ZERO_ROW
03283.p DET_ROW_ADD
03284.p DET_ROW_MUL
03286.p DET_ROW_SPAN
03287.p DET_DEPENDENT_ROWS
03289.p DET_LINEAR_ROW_VSUM
03290.p BOUNDED_FUNCTIONS_BIJECTIONS_1
03291.p BOUNDED_FUNCTIONS_BIJECTIONS_2
03292.p FINITE_BOUNDED_FUNCTIONS
03293.p DET_LINEAR_ROWS_VSUM_LEMMA
03294.p DET_LINEAR_ROWS_VSUM
03295.p MATRIX_MUL_VSUM_ALT
03296.p DET_ROWS_MUL
03297.p DET_MUL
03298.p INVERTIBLE_DET_NZ
03299.p DET_EQ_0
03300.p MATRIX_MUL_LINV
03301.p MATRIX_MUL_RINV
03302.p DET_MATRIX_EQ_0
03305.p DET_EQ_0_RANK
03306.p HOMOGENEOUS_LINEAR_EQUATIONS_DET
03307.p CRAMER_LEMMA_TRANSP
03308.p CRAMER_LEMMA
03309.p CRAMER
03310.p CRAMER_MATRIX_LEFT
03311.p CRAMER_MATRIX_RIGHT
03312.p CRAMER_MATRIX_RIGHT_INVERSE
03314.p COFACTOR_TRANSP
03315.p COFACTOR_COLUMN
03317.p MATRIX_RIGHT_INVERSE_COFACTOR
03318.p MATRIX_LEFT_INVERSE_COFACTOR
03319.p MATRIX_INV_COFACTOR
03320.p COFACTOR_MATRIX_INV
03321.p DET_COFACTOR_EXPANSION
03322.p MATRIX_MUL_RIGHT_COFACTOR
03323.p MATRIX_MUL_LEFT_COFACTOR
03324.p PRODUCT_1
03325.p PRODUCT_CLAUSES_NUMSEG_conjunct1
03326.p PRODUCT_CLAUSES_NUMSEG_conjunct0
03327.p PRODUCT_2
03328.p PRODUCT_3
03330.p DET_2
03331.p DET_3
03334.p INTEGER_PRODUCT
03335.p INTEGER_SIGN
03337.p TRANSP_DIAGONAL_MATRIX
03338.p ORTHOGONAL_TRANSFORMATION
03339.p ORTHOGONAL_TRANSFORMATION_COMPOSE
03340.p ORTHOGONAL_MATRIX
03341.p ORTHOGONAL_MATRIX_ALT
03343.p ORTHOGONAL_MATRIX_MUL
03344.p ORTHOGONAL_TRANSFORMATION_MATRIX
03345.p DET_ORTHOGONAL_MATRIX
03346.p ORTHOGONAL_MATRIX_TRANSP
03347.p MATRIX_MUL_LTRANSP_DOT_COLUMN
03348.p MATRIX_MUL_RTRANSP_DOT_ROW
03349.p ORTHOGONAL_MATRIX_ORTHONORMAL_COLUMNS
03350.p ORTHOGONAL_MATRIX_ORTHONORMAL_ROWS
03351.p Trigonometry2.POW2_1
03352.p ORTHOGONAL_MATRIX_ORTHONORMAL_ROWS_INDEXED
03353.p ORTHOGONAL_MATRIX_ORTHONORMAL_ROWS_PAIRWISE
03354.p ORTHOGONAL_MATRIX_ORTHONORMAL_ROWS_SPAN
03358.p ORTHOGONAL_MATRIX_2
03360.p SCALING_LINEAR
03361.p ISOMETRY_LINEAR
03362.p ORTHOGONAL_TRANSFORMATION_ISOMETRY
03364.p ORTHOGONAL_TRANSFORMATION_LINEAR
03365.p ORTHOGONAL_TRANSFORMATION_INJECTIVE
03366.p ORTHOGONAL_TRANSFORMATION_SURJECTIVE
03367.p ORTHOGONAL_TRANSFORMATION_INVERSE_o
03368.p ORTHOGONAL_TRANSFORMATION_INVERSE
03369.p ORTHOGONAL_TRANSFORMATION_ID
03370.p ORTHOGONAL_TRANSFORMATION_I
03371.p FINITE_INDEX_NUMSEG_SPECIAL
03372.p ORTHOGONAL_MATRIX_EXISTS_BASIS
03373.p ORTHOGONAL_TRANSFORMATION_EXISTS_1
03374.p ORTHOGONAL_TRANSFORMATION_EXISTS
03375.p ORTHOGONAL_ROTATION_OR_ROTOINVERSION
03376.p ROTATION_MATRIX_2
03377.p ROTATION_MATRIX_EXISTS_BASIS
03378.p ROTATION_EXISTS_1
03379.p ROTATION_EXISTS
03380.p ROTATION_RIGHTWARD_LINE
03381.p ROTATION_LOWDIM_HORIZONTAL
03383.p UNION_UNIV_conjunct1
03384.p UNION_UNIV_conjunct0
03385.p ORTHOGONAL_TRANSFORMATION_BETWEEN_ORTHOGONAL_SETS
03386.p COLLINEAR_TRANSLATION_EQ
03388.p COLLINEAR_LINEAR_IMAGE
03389.p COLLINEAR_LINEAR_IMAGE_EQ
03391.p ISTOPOLOGY_OPEN_IN
03392.p TOPOLOGY_EQ
03393.p OPEN_IN_CLAUSES
03394.p OPEN_IN_SUBSET
03395.p OPEN_IN_EMPTY
03396.p OPEN_IN_INTER
03397.p OPEN_IN_UNIONS
03398.p OPEN_IN_UNION
03399.p OPEN_IN_TOPSPACE
03400.p INTER_UNIV_conjunct1
03401.p INTER_UNIV_conjunct0
03402.p OPEN_IN_INTERS
03403.p OPEN_IN_SUBOPEN
03404.p CLOSED_IN_SUBSET
03405.p CLOSED_IN_EMPTY
03406.p CLOSED_IN_TOPSPACE
03407.p CLOSED_IN_UNION
03408.p CLOSED_IN_INTERS
03409.p CLOSED_IN_INTER
03410.p OPEN_IN_CLOSED_IN_EQ
03412.p OPEN_IN_DIFF
03413.p CLOSED_IN_DIFF
03414.p CLOSED_IN_UNIONS
03415.p ISTOPLOGY_SUBTOPOLOGY
03416.p OPEN_IN_SUBTOPOLOGY
03417.p TOPSPACE_SUBTOPOLOGY
03418.p CLOSED_IN_SUBTOPOLOGY
03419.p OPEN_IN_SUBTOPOLOGY_REFL
03420.p CLOSED_IN_SUBTOPOLOGY_REFL
03421.p SUBTOPOLOGY_SUPERSET
03423.p SUBTOPOLOGY_UNIV
03424.p OPEN_EMPTY
03425.p OPEN_UNIV
03426.p OPEN_INTER
03427.p OPEN_UNIONS
03428.p OPEN_IN
03429.p TOPSPACE_EUCLIDEAN
03430.p TOPSPACE_EUCLIDEAN_SUBTOPOLOGY
03431.p CLOSED_IN
03432.p OPEN_UNION
03433.p OPEN_SUBOPEN
03434.p CLOSED_EMPTY
03435.p CLOSED_UNIV
03436.p CLOSED_UNION
03437.p CLOSED_INTER
03438.p CLOSED_INTERS
03439.p OPEN_CLOSED
03440.p OPEN_DIFF
03441.p CLOSED_DIFF
03442.p OPEN_INTERS
03443.p CLOSED_UNIONS
03444.p IN_BALL
03445.p IN_CBALL
03446.p IN_BALL_0
03447.p IN_CBALL_0
03448.p BALL_TRIVIAL
03449.p CBALL_TRIVIAL
03450.p CENTRE_IN_CBALL
03451.p BALL_SUBSET_CBALL
03452.p SUBSET_BALL
03453.p SUBSET_CBALL
03454.p BALL_MAX_UNION
03455.p BALL_MIN_INTER
03456.p BALL_TRANSLATION
03457.p CBALL_TRANSLATION
03458.p BALL_LINEAR_IMAGE
03459.p CBALL_LINEAR_IMAGE
03460.p BALL_SCALING
03461.p CBALL_SCALING
03462.p CBALL_DIFF_BALL
03465.p OPEN_BALL
03466.p CENTRE_IN_BALL
03467.p OPEN_CONTAINS_BALL
03468.p OPEN_CONTAINS_BALL_EQ
03469.p BALL_EQ_EMPTY
03470.p BALL_EMPTY
03471.p INTER_ACI_conjunct4
03472.p INTER_ACI_conjunct3
03473.p INTER_ACI_conjunct2
03474.p INTER_ACI_conjunct1
03475.p INTER_ACI_conjunct0
03476.p OPEN_IN_OPEN
03477.p OPEN_IN_INTER_OPEN
03478.p OPEN_IN_OPEN_INTER
03479.p OPEN_OPEN_IN_TRANS
03480.p OPEN_SUBSET
03481.p CLOSED_IN_CLOSED
03482.p CLOSED_IN_INTER_CLOSED
03483.p CLOSED_IN_CLOSED_INTER
03485.p CLOSED_SUBSET
03486.p open_in
03487.p OPEN_IN_TRANS
03488.p OPEN_IN_OPEN_TRANS
03489.p CLOSED_IN_TRANS
03490.p CLOSED_IN_CLOSED_TRANS
03491.p OPEN_IN_SUBTOPOLOGY_INTER_SUBSET
03492.p OPEN_IN_TRANSLATION_EQ
03493.p CLOSED_IN_TRANSLATION_EQ
03494.p OPEN_IN_INJECTIVE_LINEAR_IMAGE
03495.p CLOSED_IN_INJECTIVE_LINEAR_IMAGE
03496.p CONNECTED_CLOSED
03497.p CONNECTED_OPEN_IN
03499.p CONNECTED_CLOSED_IN
03500.p CONNECTED_CLOSED_IN_EQ
03501.p CONNECTED_CLOPEN
03502.p CONNECTED_CLOSED_SET
03503.p CONNECTED_OPEN_SET
03504.p CONNECTED_EMPTY
03505.p CONNECTED_SING
03506.p CONNECTED_UNIONS
03507.p CONNECTED_UNION
03509.p UNION_ACI_conjunct3
03510.p UNION_ACI_conjunct2
03512.p UNION_ACI_conjunct0
03513.p CONNECTED_DIFF_OPEN_FROM_CLOSED
03514.p LIMPT_SUBSET
03515.p LIMPT_APPROACHABLE
03516.p LIMPT_APPROACHABLE_LE
03517.p REAL_HALF_conjunct2
03518.p REAL_HALF_conjunct1
03519.p REAL_HALF_conjunct0
03521.p CLOSED_LIMPT
03522.p LIMPT_EMPTY
03524.p FINITE_SET_AVOID
03525.p LIMIT_POINT_FINITE
03526.p LIMPT_SING
03527.p LIMIT_POINT_UNION
03528.p DISCRETE_IMP_CLOSED
03529.p INTERIOR_EQ
03530.p INTERIOR_OPEN
03531.p INTERIOR_EMPTY
03532.p INTERIOR_UNIV
03533.p OPEN_INTERIOR
03534.p INTERIOR_INTERIOR
03535.p INTERIOR_SUBSET
03536.p SUBSET_INTERIOR
03537.p INTERIOR_MAXIMAL
03538.p INTERIOR_UNIQUE
03539.p IN_INTERIOR
03540.p OPEN_SUBSET_INTERIOR
03541.p INTERIOR_INTER
03542.p INTERIOR_FINITE_INTERS
03544.p INTERIOR_LIMIT_POINT
03545.p INTERIOR_CLOSED_UNION_EMPTY_INTERIOR
03546.p CLOSURE_INTERIOR
03547.p INTERIOR_CLOSURE
03548.p CLOSED_CLOSURE
03549.p CLOSURE_HULL
03550.p CLOSURE_EQ
03551.p CLOSURE_CLOSED
03552.p CLOSURE_CLOSURE
03553.p CLOSURE_SUBSET
03554.p SUBSET_CLOSURE
03555.p CLOSURE_UNION
03556.p CLOSURE_INTER_SUBSET
03557.p CLOSURE_INTERS_SUBSET
03558.p CLOSURE_MINIMAL
03559.p CLOSURE_MINIMAL_EQ
03561.p CLOSURE_EMPTY
03562.p CLOSURE_UNIV
03564.p CLOSURE_EQ_EMPTY
03565.p CLOSURE_SUBSET_EQ
03566.p OPEN_INTER_CLOSURE_EQ_EMPTY
03567.p OPEN_INTER_CLOSURE_SUBSET
03568.p CLOSURE_OPEN_INTER_SUPERSET
03569.p CLOSURE_COMPLEMENT
03570.p INTERIOR_COMPLEMENT
03571.p CONNECTED_INTERMEDIATE_CLOSURE
03572.p CONNECTED_CLOSURE
03574.p INTERIOR_DIFF
03575.p FRONTIER_CLOSED
03576.p FRONTIER_CLOSURES
03577.p FRONTIER_STRADDLE
03578.p FRONTIER_SUBSET_CLOSED
03579.p FRONTIER_EMPTY
03580.p FRONTIER_UNIV
03581.p FRONTIER_SUBSET_EQ
03582.p FRONTIER_COMPLEMENT
03583.p FRONTIER_DISJOINT_EQ
03584.p FRONTIER_INTER_SUBSET
03585.p FRONTIER_INTERIORS
03586.p CONNECTED_INTER_FRONTIER
03588.p NET_DILEMMA
03589.p AT
03590.p AT_INFINITY
03591.p SEQUENTIALLY
03592.p WITHIN
03594.p WITHIN_WITHIN
03595.p TRIVIAL_LIMIT_WITHIN
03596.p TRIVIAL_LIMIT_AT
03597.p TRIVIAL_LIMIT_AT_INFINITY
03598.p TRIVIAL_LIMIT_SEQUENTIALLY
03599.p LIM_WITHIN_CLOSED_TRIVIAL
03601.p EVENTUALLY_HAPPENS
03602.p EVENTUALLY_WITHIN_LE
03603.p EVENTUALLY_WITHIN
03604.p EVENTUALLY_AT
03605.p EVENTUALLY_SEQUENTIALLY
03606.p EVENTUALLY_AT_INFINITY
03607.p ALWAYS_EVENTUALLY
03608.p EVENTUALLY_AND
03609.p EVENTUALLY_MONO
03610.p EVENTUALLY_MP
03612.p EVENTUALLY_TRUE
03613.p NOT_EVENTUALLY
03614.p EVENTUALLY_FORALL
03615.p FORALL_EVENTUALLY
03616.p LIM
03617.p LIM_WITHIN_LE
03618.p LIM_WITHIN
03619.p LIM_AT
03620.p LIM_AT_INFINITY
03621.p LIM_SEQUENTIALLY
03622.p LIM_EVENTUALLY
03624.p LIM_WITHIN_SUBSET
03625.p LIM_UNION
03627.p LIM_AT_WITHIN
03628.p LIM_WITHIN_OPEN
03629.p LIMPT_SEQUENTIAL
03630.p LIM_LINEAR
03631.p LIM_CONST
03632.p LIM_CMUL
03633.p LIM_CMUL_EQ
03634.p LIM_NEG
03635.p LIM_NEG_EQ
03636.p LIM_ADD
03637.p LIM_ABS
03638.p LIM_SUB
03639.p LIM_MAX
03640.p LIM_MIN
03641.p LIM_NULL
03642.p LIM_NULL_NORM
03644.p LIM_NULL_COMPARISON
03645.p LIM_COMPONENT
03646.p LIM_TRANSFORM_BOUND
03648.p LIM_NULL_VMUL_BOUNDED
03649.p LIM_VSUM
03650.p LIM_IN_CLOSED_SET
03651.p LIM_NORM_UBOUND
03652.p LIM_NORM_LBOUND
03653.p LIM_UNIQUE
03655.p LIM_CONST_EQ
03658.p UNIFORM_LIM_BILINEAR
03659.p LIM_BILINEAR
03660.p LIM_WITHIN_ID
03662.p LIM_AT_ZERO
03663.p NETLIMIT_WITHIN
03664.p NETLIMIT_AT
03665.p LIM_TRANSFORM
03666.p LIM_TRANSFORM_EVENTUALLY
03667.p LIM_TRANSFORM_WITHIN
03668.p LIM_TRANSFORM_AT
03669.p LIM_TRANSFORM_EQ
03670.p LIM_TRANSFORM_WITHIN_SET
03671.p LIM_TRANSFORM_AWAY_WITHIN
03672.p LIM_TRANSFORM_AWAY_AT
03673.p LIM_TRANSFORM_WITHIN_OPEN
03674.p LIM_CASES_FINITE_SEQUENTIALLY
03675.p LIM_CASES_COFINITE_SEQUENTIALLY
03676.p LIM_CASES_SEQUENTIALLY
03677.p LIM_CONG_WITHIN
03678.p LIM_CONG_AT
03679.p CLOSURE_SEQUENTIAL
03680.p CLOSED_SEQUENTIAL_LIMITS
03681.p CLOSURE_APPROACHABLE
03682.p CLOSED_APPROACHABLE
03683.p SEQ_OFFSET
03685.p SEQ_OFFSET_REV
03686.p SEQ_HARMONIC
03687.p CLOSED_CBALL
03688.p OPEN_CONTAINS_CBALL
03690.p IN_INTERIOR_CBALL
03691.p LIMPT_BALL
03692.p CLOSURE_BALL
03693.p INTERIOR_CBALL
03694.p FRONTIER_BALL
03695.p FRONTIER_CBALL
03696.p CBALL_EQ_EMPTY
03697.p CBALL_EMPTY
03698.p CBALL_EQ_SING
03699.p CBALL_SING
03700.p EVENTUALLY_WITHIN_INTERIOR
03703.p BOUNDED_EMPTY
03704.p BOUNDED_SUBSET
03705.p BOUNDED_INTERIOR
03706.p BOUNDED_CLOSURE
03707.p BOUNDED_CLOSURE_EQ
03708.p BOUNDED_CBALL
03709.p BOUNDED_BALL
03710.p FINITE_IMP_BOUNDED
03711.p BOUNDED_UNION
03712.p BOUNDED_UNIONS
03713.p BOUNDED_POS
03714.p BOUNDED_POS_LT
03715.p BOUNDED_INTER
03716.p BOUNDED_DIFF
03717.p BOUNDED_INSERT
03718.p BOUNDED_SING
03719.p BOUNDED_INTERS
03720.p NOT_BOUNDED_UNIV
03721.p COBOUNDED_IMP_UNBOUNDED
03722.p BOUNDED_LINEAR_IMAGE
03723.p BOUNDED_LINEAR_IMAGE_EQ
03724.p BOUNDED_SCALING
03725.p BOUNDED_NEGATIONS
03726.p BOUNDED_TRANSLATION
03727.p BOUNDED_TRANSLATION_EQ
03728.p BOUNDED_DIFFS
03729.p BOUNDED_SUMS
03730.p BOUNDED_SUMS_IMAGE
03732.p BOUNDED_SUBSET_BALL
03733.p BOUNDED_SUBSET_CBALL
03736.p SUBSPACE_BOUNDED_EQ_TRIVIAL
03737.p BOUNDED_LIFT
03738.p BOUNDED_HAS_SUP
03740.p BOUNDED_HAS_INF
03742.p MONOTONE_BIGGER
03743.p LIM_SUBSEQUENCE
03744.p MONOTONE_SUBSEQUENCE
03745.p CONVERGENT_BOUNDED_INCREASING
03746.p CONVERGENT_BOUNDED_MONOTONE
03747.p COMPACT_REAL_LEMMA
03748.p COMPACT_LEMMA
03749.p BOUNDED_CLOSED_IMP_COMPACT
03750.p CAUCHY
03751.p CONVERGENT_IMP_CAUCHY
03752.p CAUCHY_IMP_BOUNDED
03753.p COMPACT_IMP_COMPLETE
03754.p COMPLETE_UNIV
03755.p COMPLETE_EQ_CLOSED
03756.p CONVERGENT_EQ_CAUCHY
03757.p CONVERGENT_IMP_BOUNDED
03758.p COMPACT_IMP_TOTALLY_BOUNDED
03759.p HEINE_BOREL_LEMMA
03760.p COMPACT_IMP_HEINE_BOREL
03761.p HEINE_BOREL_IMP_BOLZANO_WEIERSTRASS
03762.p BOLZANO_WEIERSTRASS_IMP_BOUNDED
03763.p SEQUENCE_INFINITE_LEMMA
03764.p SEQUENCE_UNIQUE_LIMPT
03765.p BOLZANO_WEIERSTRASS_IMP_CLOSED
03766.p COMPACT_EQ_HEINE_BOREL
03767.p COMPACT_EQ_BOLZANO_WEIERSTRASS
03768.p COMPACT_EQ_BOUNDED_CLOSED
03769.p COMPACT_IMP_BOUNDED
03770.p COMPACT_IMP_CLOSED
03771.p COMPACT_EQ_HEINE_BOREL_SUBTOPOLOGY
03772.p COMPACT_CLOSURE
03773.p BOLZANO_WEIERSTRASS_CONTRAPOS
03774.p DISCRETE_BOUNDED_IMP_FINITE
03775.p COMPACT_EMPTY
03776.p COMPACT_UNION
03777.p COMPACT_INTER
03778.p COMPACT_INTER_CLOSED
03779.p CLOSED_INTER_COMPACT
03780.p COMPACT_INTERS
03781.p FINITE_IMP_CLOSED
03782.p FINITE_IMP_COMPACT
03783.p COMPACT_SING
03784.p COMPACT_INSERT
03785.p CLOSED_SING
03786.p CLOSED_INSERT
03787.p COMPACT_CBALL
03788.p COMPACT_FRONTIER_BOUNDED
03789.p COMPACT_FRONTIER
03791.p OPEN_DELETE
03792.p CLOSED_INTERS_COMPACT
03793.p COMPACT_UNIONS
03794.p COMPACT_DIFF
03795.p COMPACT_SPHERE
03796.p COMPACT_IMP_FIP
03798.p DECREASING_CLOSED_NEST
03799.p DECREASING_CLOSED_NEST_SING
03800.p BOUNDED_CLOSED_CHAIN
03801.p COMPACT_CHAIN
03802.p COMPACT_NEST
03803.p UNIFORMLY_CONVERGENT_EQ_CAUCHY
03804.p UNIFORMLY_CAUCHY_IMP_UNIFORMLY_CONVERGENT
03805.p CONTINUOUS_TRIVIAL_LIMIT
03806.p CONTINUOUS_WITHIN
03807.p CONTINUOUS_AT
03808.p CONTINUOUS_AT_WITHIN
03809.p CONTINUOUS_WITHIN_CLOSED_NONTRIVIAL
03810.p CONTINUOUS_TRANSFORM_WITHIN
03811.p CONTINUOUS_TRANSFORM_AT
03812.p continuous_within
03813.p continuous_at
03815.p CONTINUOUS_AT_BALL
03816.p UNIFORMLY_CONTINUOUS_IMP_CONTINUOUS
03817.p CONTINUOUS_AT_IMP_CONTINUOUS_ON
03818.p CONTINUOUS_ON_EQ_CONTINUOUS_WITHIN
03819.p CONTINUOUS_ON
03820.p CONTINUOUS_ON_EQ_CONTINUOUS_AT
03821.p CONTINUOUS_WITHIN_SUBSET
03822.p CONTINUOUS_ON_SUBSET
03824.p CONTINUOUS_ON_INTERIOR
03825.p CONTINUOUS_ON_EQ
03826.p UNIFORMLY_CONTINUOUS_ON_EQ
03827.p CONTINUOUS_ON_SING
03828.p CONTINUOUS_ON_EMPTY
03829.p CONTINUOUS_WITHIN_SEQUENTIALLY
03830.p CONTINUOUS_AT_SEQUENTIALLY
03831.p CONTINUOUS_ON_SEQUENTIALLY
03832.p UNIFORMLY_CONTINUOUS_ON_SEQUENTIALLY
03833.p LIM_CONTINUOUS_FUNCTION
03834.p CONTINUOUS_CONST
03835.p CONTINUOUS_CMUL
03836.p CONTINUOUS_NEG
03837.p CONTINUOUS_ADD
03838.p CONTINUOUS_SUB
03839.p CONTINUOUS_ABS
03840.p CONTINUOUS_MAX
03841.p CONTINUOUS_MIN
03842.p CONTINUOUS_VSUM
03843.p CONTINUOUS_ON_CONST
03844.p CONTINUOUS_ON_CMUL
03845.p CONTINUOUS_ON_NEG
03846.p CONTINUOUS_ON_ADD
03847.p CONTINUOUS_ON_SUB
03849.p CONTINUOUS_ON_MAX
03850.p CONTINUOUS_ON_MIN
03851.p CONTINUOUS_ON_VSUM
03852.p UNIFORMLY_CONTINUOUS_ON_CONST
03853.p UNIFORMLY_CONTINUOUS_ON_CMUL
03854.p UNIFORMLY_CONTINUOUS_ON_NEG
03855.p UNIFORMLY_CONTINUOUS_ON_ADD
03856.p UNIFORMLY_CONTINUOUS_ON_SUB
03857.p UNIFORMLY_CONTINUOUS_ON_VSUM
03858.p CONTINUOUS_WITHIN_ID
03859.p CONTINUOUS_AT_ID
03860.p CONTINUOUS_ON_ID
03862.p CONTINUOUS_WITHIN_COMPOSE
03863.p CONTINUOUS_AT_COMPOSE
03864.p CONTINUOUS_ON_COMPOSE
03865.p UNIFORMLY_CONTINUOUS_ON_COMPOSE
03867.p CONTINUOUS_ON_OPEN
03868.p CONTINUOUS_ON_CLOSED
03869.p CONTINUOUS_OPEN_IN_PREIMAGE
03870.p CONTINUOUS_CLOSED_IN_PREIMAGE
03871.p CONTINUOUS_OPEN_PREIMAGE
03872.p CONTINUOUS_CLOSED_PREIMAGE
03873.p CONTINUOUS_OPEN_PREIMAGE_UNIV
03874.p CONTINUOUS_CLOSED_PREIMAGE_UNIV
03875.p CONTINUOUS_OPEN_IN_PREIMAGE_EQ
03876.p CONTINUOUS_CLOSED_IN_PREIMAGE_EQ
03877.p LIM_LIFT_DOT
03878.p CONTINUOUS_AT_LIFT_DOT
03879.p CONTINUOUS_ON_LIFT_DOT
03880.p CLOSED_INTERVAL_LEFT
03882.p CLOSED_HALFSPACE_LE
03883.p CLOSED_HALFSPACE_GE
03884.p CLOSED_HYPERPLANE
03885.p CLOSED_STANDARD_HYPERPLANE
03886.p CLOSED_HALFSPACE_COMPONENT_LE
03887.p CLOSED_HALFSPACE_COMPONENT_GE
03888.p OPEN_HALFSPACE_LT
03889.p OPEN_HALFSPACE_COMPONENT_LT
03890.p OPEN_HALFSPACE_GT
03891.p OPEN_HALFSPACE_COMPONENT_GT
03893.p INTERIOR_HALFSPACE_LE
03894.p INTERIOR_HALFSPACE_GE
03897.p CLOSURE_HALFSPACE_LT
03898.p CLOSURE_HALFSPACE_GT
03899.p CLOSURE_HALFSPACE_COMPONENT_LT
03900.p CLOSURE_HALFSPACE_COMPONENT_GT
03901.p INTERIOR_HYPERPLANE
03902.p INTERIOR_STANDARD_HYPERPLANE
03903.p EMPTY_INTERIOR_LOWDIM
03904.p UNBOUNDED_HALFSPACE_COMPONENT_LE
03905.p UNBOUNDED_HALFSPACE_COMPONENT_GE
03908.p BOUNDED_HALFSPACE_LE
03909.p BOUNDED_HALFSPACE_GE
03910.p BOUNDED_HALFSPACE_LT
03912.p FORALL_IN_CLOSURE
03913.p CONTINUOUS_LE_ON_CLOSURE
03914.p CONTINUOUS_GE_ON_CLOSURE
03915.p CONTINUOUS_CONSTANT_ON_CLOSURE
03916.p CONTINUOUS_AGREE_ON_CLOSURE
03917.p CONTINUOUS_CLOSED_IN_PREIMAGE_CONSTANT
03918.p CONTINUOUS_CLOSED_PREIMAGE_CONSTANT
03919.p CONTINUOUS_ON_CLOSURE
03920.p CONTINUOUS_ON_CLOSURE_SEQUENTIALLY
03921.p UNIFORMLY_CONTINUOUS_ON_CLOSURE
03922.p CONTINUOUS_AT_SQRT
03924.p CONTINUOUS_WITHIN_LIFT_SQRT
03925.p CONTINUOUS_ON_LIFT_SQRT
03927.p UNIFORMLY_CONTINUOUS_IMP_CAUCHY_CONTINUOUS
03929.p CAUCHY_CONTINUOUS_UNIQUENESS_LEMMA
03930.p CAUCHY_CONTINUOUS_EXTENDS_TO_CLOSURE
03931.p UNIFORMLY_CONTINUOUS_EXTENDS_TO_CLOSURE
03933.p LINEAR_LIM_0
03934.p LINEAR_CONTINUOUS_AT
03935.p LINEAR_CONTINUOUS_WITHIN
03936.p LINEAR_CONTINUOUS_ON
03939.p BILINEAR_CONTINUOUS_ON_COMPOSE
03940.p CONTINUOUS_ON_LIFT_DOT2
03941.p CONTINUOUS_AT_COMPOSE_EQ
03942.p CONTINUOUS_AT_TRANSLATION
03943.p CONTINUOUS_AT_LINEAR_IMAGE
03944.p INTERIOR_IMAGE_SUBSET
03945.p CONTINUOUS_WITHIN_AVOID
03946.p CONTINUOUS_AT_AVOID
03948.p CONTINUOUS_ON_OPEN_AVOID
03949.p CONTINUOUS_LEVELSET_OPEN_IN_CASES
03950.p CONTINUOUS_LEVELSET_OPEN_IN
03952.p CONTINUOUS_DISCRETE_RANGE_CONSTANT
03953.p OPEN_SCALING
03954.p OPEN_NEGATIONS
03955.p OPEN_TRANSLATION
03956.p OPEN_TRANSLATION_EQ
03958.p INTERIOR_TRANSLATION
03959.p OPEN_SUMS
03960.p COMPACT_CONTINUOUS_IMAGE
03961.p COMPACT_LINEAR_IMAGE
03962.p COMPACT_LINEAR_IMAGE_EQ
03963.p CONNECTED_CONTINUOUS_IMAGE
03964.p CONNECTED_TRANSLATION
03965.p CONNECTED_TRANSLATION_EQ
03966.p CONNECTED_LINEAR_IMAGE
03967.p CONNECTED_LINEAR_IMAGE_EQ
03968.p CONNECTED_COMPONENT_IN
03969.p CONNECTED_COMPONENT_REFL
03970.p CONNECTED_COMPONENT_REFL_EQ
03971.p CONNECTED_COMPONENT_SYM
03972.p CONNECTED_COMPONENT_TRANS
03973.p CONNECTED_COMPONENT_OF_SUBSET
03974.p CONNECTED_COMPONENT_SET
03975.p CONNECTED_COMPONENT_UNIONS
03976.p CONNECTED_COMPONENT_SUBSET
03977.p CONNECTED_CONNECTED_COMPONENT_SET
03978.p CONNECTED_COMPONENT_EQ_SELF
03979.p CONNECTED_IFF_CONNECTED_COMPONENT
03980.p CONNECTED_COMPONENT_MAXIMAL
03981.p CONNECTED_COMPONENT_MONO
03982.p CONNECTED_CONNECTED_COMPONENT
03983.p CONNECTED_COMPONENT_EQ_EMPTY
03985.p CONNECTED_COMPONENT_EQ
03986.p CLOSED_CONNECTED_COMPONENT
03987.p CONNECTED_COMPONENT_DISJOINT
03988.p CONNECTED_COMPONENT_NONOVERLAP
03989.p CONNECTED_COMPONENT_OVERLAP
03990.p CONNECTED_COMPONENT_SYM_EQ
03991.p CONNECTED_COMPONENT_EQ_EQ
03992.p CONNECTED_COMPONENT_IDEMP
03993.p CONNECTED_COMPONENT_UNIQUE
03994.p JOINABLE_CONNECTED_COMPONENT_EQ
03995.p CONNECTED_COMPONENT_TRANSLATION
03996.p CONNECTED_COMPONENT_LINEAR_IMAGE
03997.p UNIONS_CONNECTED_COMPONENT
03998.p CLOSED_IN_CONNECTED_COMPONENT
03999.p OPEN_IN_CONNECTED_COMPONENT
04000.p IN_COMPONENTS
04001.p UNIONS_COMPONENTS
04002.p PAIRWISE_DISJOINT_COMPONENTS
04003.p IN_COMPONENTS_NONEMPTY
04004.p IN_COMPONENTS_SUBSET
04005.p IN_COMPONENTS_CONNECTED
04006.p IN_COMPONENTS_MAXIMAL
04008.p CLOSED_COMPONENTS
04009.p CONTINUOUS_ON_COMPONENTS_GEN
04010.p COMPACT_UNIFORMLY_EQUICONTINUOUS
04011.p COMPACT_UNIFORMLY_CONTINUOUS
04012.p CONTINUOUS_ON_INVERSE
04013.p CONTINUOUS_UNIFORM_LIMIT
04016.p CLOSED_LIFT
04017.p CONTINUOUS_AT_LIFT_RANGE
04018.p CONTINUOUS_ON_LIFT_RANGE
04019.p CONTINUOUS_LIFT_NORM_COMPOSE
04020.p CONTINUOUS_ON_LIFT_NORM_COMPOSE
04021.p CONTINUOUS_AT_LIFT_NORM
04022.p CONTINUOUS_ON_LIFT_NORM
04023.p CONTINUOUS_AT_LIFT_COMPONENT
04024.p CONTINUOUS_ON_LIFT_COMPONENT
04025.p CONTINUOUS_AT_LIFT_INFNORM
04026.p COMPACT_ATTAINS_SUP
04027.p COMPACT_ATTAINS_INF
04028.p CONTINUOUS_ATTAINS_SUP
04029.p CONTINUOUS_ATTAINS_INF
04030.p DISTANCE_ATTAINS_SUP
04031.p DISTANCE_ATTAINS_INF
04032.p LIM_MUL
04033.p LIM_VMUL
04034.p CONTINUOUS_VMUL
04035.p CONTINUOUS_MUL
04036.p CONTINUOUS_ON_VMUL
04037.p CONTINUOUS_ON_MUL
04038.p LIM_INV
04039.p CONTINUOUS_INV
04040.p CONTINUOUS_AT_WITHIN_INV
04041.p CONTINUOUS_AT_INV
04042.p CONTINUOUS_ON_INV
04046.p LIM_PASTECART
04047.p CONTINUOUS_PASTECART
04048.p CONTINUOUS_ON_PASTECART
04051.p COMPACT_SCALING
04052.p COMPACT_NEGATIONS
04053.p COMPACT_SUMS
04054.p COMPACT_DIFFERENCES
04055.p COMPACT_TRANSLATION_EQ
04056.p COMPACT_TRANSLATION
04058.p COMPACT_SUP_MAXDISTANCE
04059.p DIAMETER_BOUNDED
04060.p DIAMETER_BOUNDED_BOUND
04061.p DIAMETER_COMPACT_ATTAINED
04062.p DIAMETER_TRANSLATION
04063.p DIAMETER_LINEAR_IMAGE
04064.p DIAMETER_EMPTY
04065.p DIAMETER_POS_LE
04066.p DIAMETER_SUBSET
04067.p DIAMETER_CLOSURE
04068.p DIAMETER_SUBSET_CBALL_NONEMPTY
04070.p LEBESGUE_COVERING_LEMMA
04071.p CLOSED_SCALING
04072.p CLOSED_NEGATIONS
04073.p COMPACT_CLOSED_SUMS
04074.p CLOSED_COMPACT_SUMS
04075.p COMPACT_CLOSED_DIFFERENCES
04076.p CLOSED_COMPACT_DIFFERENCES
04077.p CLOSED_TRANSLATION_EQ
04078.p CLOSED_TRANSLATION
04079.p COMPLETE_TRANSLATION_EQ
04082.p CLOSURE_TRANSLATION
04083.p FRONTIER_TRANSLATION
04084.p SEPARATE_POINT_CLOSED
04085.p SEPARATE_COMPACT_CLOSED
04086.p SEPARATE_CLOSED_COMPACT
04088.p interval_conjunct1
04090.p IN_INTERVAL_conjunct1
04091.p IN_INTERVAL_conjunct0
04092.p INTERVAL_EQ_EMPTY_conjunct1
04093.p INTERVAL_EQ_EMPTY_conjunct0
04094.p SUBSET_INTERVAL_IMP_conjunct3
04095.p SUBSET_INTERVAL_IMP_conjunct2
04096.p SUBSET_INTERVAL_IMP_conjunct1
04097.p SUBSET_INTERVAL_IMP_conjunct0
04098.p SUBSET_INTERVAL_conjunct3
04099.p SUBSET_INTERVAL_conjunct2
04100.p SUBSET_INTERVAL_conjunct1
04101.p SUBSET_INTERVAL_conjunct0
04102.p DISJOINT_INTERVAL
04103.p INTERVAL_NE_EMPTY_conjunct1
04104.p INTERVAL_NE_EMPTY_conjunct0
04105.p ENDS_IN_INTERVAL_conjunct3
04106.p ENDS_IN_INTERVAL_conjunct2
04107.p ENDS_IN_INTERVAL_conjunct1
04108.p ENDS_IN_INTERVAL_conjunct0
04109.p INTER_INTERVAL
04110.p INTERVAL_OPEN_SUBSET_CLOSED
04111.p OPEN_INTERVAL_LEMMA
04112.p OPEN_INTERVAL
04113.p CLOSED_INTERVAL
04114.p INTERIOR_CLOSED_INTERVAL
04115.p BOUNDED_CLOSED_INTERVAL
04116.p BOUNDED_INTERVAL_conjunct0
04117.p BOUNDED_INTERVAL_conjunct1
04118.p COMPACT_INTERVAL
04119.p OPEN_INTERVAL_MIDPOINT
04120.p OPEN_CLOSED_INTERVAL_CONVEX
04121.p CLOSURE_OPEN_INTERVAL
04122.p BOUNDED_SUBSET_OPEN_INTERVAL_SYMMETRIC
04123.p BOUNDED_SUBSET_OPEN_INTERVAL
04124.p BOUNDED_SUBSET_CLOSED_INTERVAL_SYMMETRIC
04125.p BOUNDED_SUBSET_CLOSED_INTERVAL
04128.p INTER_INTERVAL_MIXED_EQ_EMPTY
04129.p INTERVAL_TRANSLATION_conjunct1
04130.p INTERVAL_TRANSLATION_conjunct0
04131.p EMPTY_AS_INTERVAL
04132.p REAL_MIN_ACI_conjunct4
04133.p REAL_MIN_ACI_conjunct3
04134.p REAL_MIN_ACI_conjunct2
04135.p REAL_MIN_ACI_conjunct1
04136.p REAL_MAX_ACI_conjunct4
04137.p REAL_MAX_ACI_conjunct3
04138.p REAL_MAX_ACI_conjunct2
04139.p REAL_MAX_ACI_conjunct1
04140.p IMAGE_STRETCH_INTERVAL
04142.p UNIT_INTERVAL_NONEMPTY_conjunct1
04143.p UNIT_INTERVAL_NONEMPTY_conjunct0
04144.p CLOSED_INTERVAL_IMAGE_UNIT_INTERVAL
04147.p OPEN_CONTAINS_OPEN_INTERVAL
04148.p OPEN_CONTAINS_INTERVAL
04149.p INTERVAL_CASES_1
04150.p IN_INTERVAL_1
04151.p INTERVAL_EQ_EMPTY_1
04152.p SUBSET_INTERVAL_1
04155.p OPEN_CLOSED_INTERVAL_1
04156.p CLOSED_OPEN_INTERVAL_1
04157.p BALL_1
04158.p FINITE_INTERVAL_1_conjunct0
04159.p BALL_INTERVAL
04160.p CBALL_INTERVAL
04163.p INTER_INTERVAL_1
04164.p IS_INTERVAL_INTERVAL
04165.p IS_INTERVAL_EMPTY
04167.p IS_INTERVAL_TRANSLATION_EQ
04169.p IS_INTERVAL_POINTWISE
04170.p IS_INTERVAL_COMPACT
04171.p IS_INTERVAL_1
04172.p IS_INTERVAL_1_CASES
04173.p OPEN_SEGMENT_ALT
04174.p segment_conjunct1
04175.p segment_conjunct0
04176.p SEGMENT_REFL_conjunct1
04177.p SEGMENT_REFL_conjunct0
04178.p IN_SEGMENT
04179.p SEGMENT_SYM_conjunct0
04180.p ENDS_IN_SEGMENT
04182.p SEGMENT_CLOSED_OPEN
04183.p BETWEEN_IN_SEGMENT
04184.p SEGMENT_1_conjunct1
04185.p SEGMENT_1_conjunct0
04186.p OPEN_SEGMENT_1
04187.p SEGMENT_TRANSLATION_conjunct1
04188.p SEGMENT_TRANSLATION_conjunct0
04189.p CLOSED_SEGMENT_LINEAR_IMAGE
04190.p OPEN_SEGMENT_LINEAR_IMAGE
04191.p IN_OPEN_SEGMENT
04192.p IN_OPEN_SEGMENT_ALT
04193.p COLLINEAR_DIST_IN_CLOSED_SEGMENT
04195.p SEGMENT_SCALAR_MULTIPLE_conjunct0
04196.p SEGMENT_SCALAR_MULTIPLE_conjunct1
04198.p DIST_IN_OPEN_SEGMENT
04199.p DIST_IN_CLOSED_SEGMENT
04200.p LIM_COMPONENT_UBOUND
04201.p LIM_COMPONENT_LBOUND
04202.p LIM_COMPONENT_EQ
04203.p LIM_COMPONENT_LE
04204.p LIM_DROP_LE
04205.p LIM_DROP_UBOUND
04206.p LIM_DROP_LBOUND
04207.p IMAGE_CLOSURE_SUBSET
04210.p CONTINUOUS_ON_CLOSURE_COMPONENT_GE
04211.p LIM_WITHIN_UNION
04212.p CONTINUOUS_ON_UNION
04213.p CONTINUOUS_ON_CASES
04214.p CLOSED_IN_LIMPT
04215.p CONTINUOUS_ON_UNION_LOCAL
04216.p CONTINUOUS_ON_CASES_LOCAL
04217.p CONTINUOUS_ON_CASES_LE
04218.p CONTINUOUS_ON_CASES_1
04219.p LIM_COMPONENTWISE_LIFT
04220.p CONTINUOUS_COMPONENTWISE_LIFT
04221.p CONTINUOUS_ON_COMPONENTWISE_LIFT
04222.p CONNECTED_IVT_HYPERPLANE
04223.p CONNECTED_IVT_COMPONENT
04224.p BOUNDED_INCREASING_CONVERGENT
04226.p HOMEOMORPHIC_REFL
04227.p HOMEOMORPHIC_SYM
04228.p HOMEOMORPHIC_TRANS
04229.p HOMEOMORPHIC_IMP_CARD_EQ
04230.p HOMEOMORPHIC_MINIMAL
04231.p HOMEOMORPHIC_INJECTIVE_LINEAR_IMAGE_SELF
04232.p HOMEOMORPHIC_INJECTIVE_LINEAR_IMAGE_LEFT_EQ
04233.p HOMEOMORPHIC_INJECTIVE_LINEAR_IMAGE_RIGHT_EQ
04234.p HOMEOMORPHIC_TRANSLATION_SELF
04235.p HOMEOMORPHIC_TRANSLATION_LEFT_EQ
04236.p HOMEOMORPHIC_TRANSLATION_RIGHT_EQ
04237.p HOMEOMORPHISM_COMPACT
04238.p HOMEOMORPHIC_COMPACT
04239.p HOMEOMORPHIC_COMPACTNESS
04240.p HOMEOMORPHIC_CONNECTEDNESS
04241.p HOMEOMORPHIC_SCALING
04242.p HOMEOMORPHIC_TRANSLATION
04246.p HOMEOMORPHIC_OPEN_INTERVALS_1
04247.p HOMEOMORPHIC_OPEN_INTERVAL_UNIV_1
04249.p HOMEOMORPHIC_OPEN_INTERVAL_UNIV
04251.p CAUCHY_ISOMETRIC
04252.p COMPLETE_ISOMETRIC_IMAGE
04253.p INJECTIVE_IMP_ISOMETRIC
04254.p CLOSED_INJECTIVE_IMAGE_SUBSPACE
04255.p OPEN_SURJECTIVE_LINEAR_IMAGE
04256.p OPEN_BIJECTIVE_LINEAR_IMAGE_EQ
04257.p CLOSED_INJECTIVE_LINEAR_IMAGE
04258.p CLOSED_INJECTIVE_LINEAR_IMAGE_EQ
04259.p CLOSURE_LINEAR_IMAGE_SUBSET
04260.p CLOSURE_INJECTIVE_LINEAR_IMAGE
04263.p LINEAR_IMAGE_SUBSET_INTERIOR
04264.p INTERIOR_BIJECTIVE_LINEAR_IMAGE
04265.p FRONTIER_BIJECTIVE_LINEAR_IMAGE
04268.p INTERIOR_INJECTIVE_LINEAR_IMAGE
04274.p COMPLETE_INJECTIVE_LINEAR_IMAGE_EQ
04275.p LIMPT_INJECTIVE_LINEAR_IMAGE_EQ
04276.p LIMPT_TRANSLATION_EQ
04277.p INTERIOR_NEGATIONS
04279.p CLOSURE_NEGATIONS
04281.p SUBSPACE_SUBSTANDARD
04282.p CLOSED_SUBSTANDARD
04283.p DIM_SUBSTANDARD
04284.p CLOSED_SUBSPACE
04286.p CLOSED_SPAN
04287.p DIM_CLOSURE
04288.p CLOSED_BOUNDEDPREIM_CONTINUOUS_IMAGE
04289.p CLOSED_INJECTIVE_IMAGE_SUBSET_SUBSPACE
04290.p BASIS_COORDINATES_LIPSCHITZ
04291.p BASIS_COORDINATES_CONTINUOUS
04292.p AFFINITY_INVERSES
04293.p REAL_AFFINITY_LE
04294.p REAL_LE_AFFINITY
04297.p REAL_AFFINITY_EQ
04298.p REAL_EQ_AFFINITY
04300.p VECTOR_EQ_AFFINITY
04301.p INTERVAL_SING_conjunct1
04302.p INTERVAL_SING_conjunct0
04303.p IMAGE_AFFINITY_INTERVAL
04304.p EXISTS_IN_GSPEC_conjunct2
04305.p EXISTS_IN_GSPEC_conjunct1
04306.p EXISTS_IN_GSPEC_conjunct0
04307.p SELF_ADJOINT_HAS_EIGENVECTOR_IN_SUBSPACE
04309.p SELF_ADJOINT_HAS_EIGENVECTOR_BASIS_OF_SUBSPACE
04310.p SELF_ADJOINT_HAS_EIGENVECTOR_BASIS
04311.p SYMMETRIC_MATRIX_DIAGONALIZABLE_EXPLICIT
04312.p SYMMETRIC_MATRIX_IMP_DIAGONALIZABLE
04314.p RIGID_TRANSFORMATION_BETWEEN_CONGRUENT_SETS
04315.p RIGID_TRANSFORMATION_BETWEEN_3
04318.p SUMS_INFSUM
04320.p FROM_0
04321.p FINITE_INTER_NUMSEG
04323.p FROM_INTER_NUMSEG
04324.p IN_FROM
04325.p SERIES_FROM
04326.p SERIES_UNIQUE
04327.p INFSUM_UNIQUE
04328.p SERIES_FINITE
04329.p SERIES_LINEAR
04330.p SERIES_0
04331.p SERIES_ADD
04332.p SERIES_SUB
04333.p SERIES_CMUL
04334.p SERIES_NEG
04335.p SUMS_IFF
04336.p SUMS_EQ
04337.p SUMS_0
04338.p SERIES_FINITE_SUPPORT
04339.p SERIES_COMPONENT
04341.p SERIES_TRIVIAL
04342.p SERIES_RESTRICT
04344.p SUMS_REINDEX
04349.p SUMMABLE_CMUL
04352.p SUMMABLE_EQ
04354.p SERIES_SUBSET
04355.p SUMMABLE_SUBSET
04356.p SUMMABLE_TRIVIAL
04357.p SUMMABLE_RESTRICT
04358.p SUMS_FINITE_DIFF
04359.p SUMS_FINITE_UNION
04370.p INFSUM_RESTRICT
04371.p PARTIAL_SUMS_COMPONENT_LE_INFSUM
04372.p PARTIAL_SUMS_DROP_LE_INFSUM
04373.p SEQUENCE_CAUCHY_WLOG
04374.p VSUM_DIFF_LEMMA
04375.p NORM_VSUM_TRIVIAL_LEMMA
04376.p SERIES_CAUCHY
04377.p SUMMABLE_CAUCHY
04378.p SUMMABLE_IFF_EVENTUALLY
04379.p SUMMABLE_EQ_EVENTUALLY
04380.p SUMMABLE_IFF_COFINITE
04381.p SUMMABLE_EQ_COFINITE
04382.p SUMMABLE_FROM_ELSEWHERE
04383.p SERIES_CAUCHY_UNIFORM
04384.p SERIES_GOESTOZERO
04385.p SUMMABLE_IMP_TOZERO
04386.p SUMMABLE_IMP_BOUNDED
04388.p SERIES_COMPARISON
04389.p SUMMABLE_COMPARISON
04390.p SERIES_LIFT_ABSCONV_IMP_CONV
04392.p SERIES_COMPARISON_UNIFORM
04393.p SERIES_RATIO
04394.p BOUNDED_PARTIAL_SUMS
04395.p SUMMABLE_BILINEAR_PARTIAL_PRE
04396.p SERIES_DIRICHLET_BILINEAR
04397.p SERIES_DIRICHLET
04399.p SERIES_INJECTIVE_IMAGE
04400.p SERIES_REARRANGE_EQ
04401.p SERIES_REARRANGE
04405.p DINI
04406.p CLOSEST_POINT_EXISTS
04407.p CLOSEST_POINT_IN_SET
04408.p CLOSEST_POINT_LE
04409.p CLOSEST_POINT_SELF
04410.p CLOSEST_POINT_REFL
04411.p DIST_CLOSEST_POINT_LIPSCHITZ
04412.p CONTINUOUS_AT_DIST_CLOSEST_POINT
04413.p CONTINUOUS_ON_DIST_CLOSEST_POINT
04414.p SEGMENT_TO_CLOSEST_POINT
04415.p SEGMENT_TO_POINT_EXISTS
04416.p SETDIST_POS_LE
04417.p REAL_LE_SETDIST
04418.p SETDIST_LE_DIST
04419.p SETDIST_EMPTY_conjunct1
04420.p SETDIST_EMPTY_conjunct0
04421.p REAL_LE_SETDIST_EQ
04423.p SETDIST_SYM
04424.p SETDIST_TRIANGLE
04425.p SETDIST_SINGS
04426.p SETDIST_LIPSCHITZ
04427.p CONTINUOUS_AT_LIFT_SETDIST
04428.p CONTINUOUS_ON_LIFT_SETDIST
04429.p SETDIST_DIFFERENCES
04430.p SETDIST_SUBSET_RIGHT
04432.p SETDIST_CLOSURE_conjunct0
04434.p SETDIST_COMPACT_CLOSED
04436.p SETDIST_EQ_0_COMPACT_CLOSED
04437.p SETDIST_EQ_0_CLOSED_COMPACT
04438.p SETDIST_EQ_0_BOUNDED
04439.p SETDIST_TRANSLATION
04440.p SETDIST_LINEAR_IMAGE
04441.p SETDIST_UNIQUE
04443.p SEPARATION_CLOSURES
04444.p SEPARATION_NORMAL
04446.p SEPARATION_HAUSDORFF
04447.p SEPARATION_T2
04448.p SEPARATION_T1
04450.p DIST_PASTECART_CANCEL_conjunct1
04451.p DIST_PASTECART_CANCEL_conjunct0
04453.p SEGMENT_SYM_conjunct1
04454.p MIDPOINT_IN_SEGMENT_conjunct1
04455.p MIDPOINT_IN_SEGMENT_conjunct0
04458.p TIETZE_STEP
04459.p TIETZE
04460.p TIETZE_CLOSED_INTERVAL_1
04461.p TIETZE_OPEN_INTERVAL_1
04462.p TIETZE_UNBOUNDED_1
04465.p TIETZE_UNBOUNDED
04466.p COUNTABLE_INTEGER
04468.p COUNTABLE_RATIONAL
04471.p COUNTABLE_RATIONAL_COORDINATES
04472.p CLOSURE_DYADIC_RATIONALS
04473.p CLOSURE_RATIONAL_COORDINATES
04476.p UNIV_SECOND_COUNTABLE
04477.p UNIV_SECOND_COUNTABLE_SEQUENCE
04478.p SUBSET_SECOND_COUNTABLE
04479.p SEPARABLE
04480.p OPEN_SET_RATIONAL_COORDINATES
04481.p OPEN_COUNTABLE_UNION_CLOSED_INTERVALS
04482.p OPEN_COUNTABLE_UNION_OPEN_INTERVALS
04483.p LINDELOF
04484.p BROUWER_REDUCTION_THEOREM_GEN
04485.p BROUWER_REDUCTION_THEOREM
04486.p SUBSEQUENCE_DIAGONALIZATION_LEMMA
04487.p FUNCTION_CONVERGENT_SUBSEQUENCE
04489.p TRANSLATION_GALOIS
04491.p DIM_HYPERPLANE
04492.p LOWDIM_EQ_HYPERPLANE
04493.p DIM_EQ_HYPERPLANE
04494.p AFFINE_ALT
04495.p AFFINE_SCALING
04500.p AFFINE_TRANSLATION_EQ
04501.p AFFINE_TRANSLATION
04503.p AFFINE_LINEAR_IMAGE
04504.p AFFINE_LINEAR_IMAGE_EQ
04505.p AFFINE_EMPTY
04506.p AFFINE_SING
04507.p AFFINE_UNIV
04508.p AFFINE_HYPERPLANE
04509.p AFFINE_INTERS
04510.p AFFINE_INTER
04511.p AFFINE_AFFINE_HULL
04512.p AFFINE_HULL_EQ
04514.p AFFINE_HULL_UNIV
04515.p AFFINE_HULLS_EQ
04516.p AFFINE_HULL_TRANSLATION
04517.p AFFINE_HULL_LINEAR_IMAGE
04519.p IN_AFFINE_ADD_MUL_DIFF
04521.p IN_AFFINE_SUB_MUL_DIFF
04522.p AFFINE_DIFFS_SUBSPACE
04523.p AFFINE_VSUM
04524.p AFFINE_INDEXED
04526.p AFFINE
04528.p AFFINE_HULL_EXPLICIT
04529.p AFFINE_HULL_EXPLICIT_ALT
04530.p AFFINE_HULL_FINITE
04531.p AFFINE_HULL_EMPTY
04532.p AFFINE_HULL_EQ_EMPTY
04533.p AFFINE_HULL_FINITE_STEP_GEN
04534.p AFFINE_HULL_FINITE_STEP_conjunct1
04535.p AFFINE_HULL_FINITE_STEP_conjunct0
04536.p AFFINE_HULL_2
04537.p AFFINE_HULL_2_ALT
04538.p AFFINE_HULL_3
04539.p AFFINE_HULL_INSERT_SUBSET_SPAN
04540.p AFFINE_HULL_INSERT_SPAN
04541.p AFFINE_HULL_SPAN
04542.p DIFFS_AFFINE_HULL_SPAN
04543.p AFFINE_HULL_SING
04545.p CONVEX_ALT
04546.p IN_CONVEX_SET
04547.p CONVEX_EMPTY
04548.p CONVEX_SING
04549.p CONVEX_UNIV
04550.p CONVEX_INTERS
04551.p CONVEX_INTER
04552.p CONVEX_HULLS_EQ
04553.p CONVEX_HALFSPACE_LE
04555.p CONVEX_HALFSPACE_GE
04557.p CONVEX_HYPERPLANE
04558.p CONVEX_STANDARD_HYPERPLANE
04559.p CONVEX_HALFSPACE_LT
04560.p CONVEX_HALFSPACE_COMPONENT_LT
04561.p CONVEX_HALFSPACE_GT
04562.p CONVEX_HALFSPACE_COMPONENT_GT
04563.p CONVEX_POSITIVE_ORTHANT
04564.p LIMPT_OF_CONVEX
04565.p TRIVIAL_LIMIT_WITHIN_CONVEX
04566.p CONVEX_VSUM
04567.p CONVEX_INDEXED
04568.p CONVEX_EXPLICIT
04571.p SUBSPACE_IMP_CONIC
04572.p CONIC_EMPTY
04574.p CONIC_INTERS
04575.p CONIC_LINEAR_IMAGE
04576.p CONIC_LINEAR_IMAGE_EQ
04577.p CONIC_CONIC_HULL
04579.p CONIC_NEGATIONS
04580.p CONIC_SPAN
04581.p CONIC_HULL_EXPLICIT
04582.p CONIC_HULL_LINEAR_IMAGE
04583.p CONVEX_CONIC_HULL
04586.p CONIC_HULL_EMPTY
04587.p CONIC_CONTAINS_0
04588.p CONIC_HULL_EQ_EMPTY
04589.p CONIC_SUMS
04591.p AFFINE_DEPENDENT_EXPLICIT
04592.p AFFINE_DEPENDENT_EXPLICIT_FINITE
04593.p AFFINE_DEPENDENT_TRANSLATION_EQ
04595.p AFFINE_DEPENDENT_LINEAR_IMAGE_EQ
04597.p AFFINE_DEPENDENT_MONO
04598.p AFFINE_INDEPENDENT_EMPTY
04599.p AFFINE_INDEPENDENT_1
04600.p AFFINE_INDEPENDENT_2
04601.p AFFINE_INDEPENDENT_SUBSET
04602.p AFFINE_INDEPENDENT_DELETE
04603.p COLLINEAR_AFFINE_HULL
04604.p COLLINEAR_IMP_COPLANAR
04605.p COPLANAR_SMALL
04606.p COPLANAR_EMPTY
04608.p COPLANAR_2
04609.p COPLANAR_3
04610.p COLLINEAR_AFFINE_HULL_COLLINEAR
04611.p COPLANAR_AFFINE_HULL_COPLANAR
04612.p COPLANAR_TRANSLATION_EQ
04614.p COPLANAR_LINEAR_IMAGE
04615.p COPLANAR_LINEAR_IMAGE_EQ
04616.p COPLANAR_SUBSET
04617.p AFFINE_HULL_3_IMP_COLLINEAR
04618.p COLLINEAR_3_AFFINE_HULL
04619.p COLLINEAR_3_EQ_AFFINE_DEPENDENT
04621.p CONVEX_CONNECTED
04622.p CONNECTED_UNIV
04623.p CONNECTED_COMPONENT_UNIV
04625.p CLOPEN
04626.p FINITE_IMP_NOT_OPEN
04628.p EMPTY_INTERIOR_FINITE
04629.p FRONTIER_NOT_EMPTY
04630.p FRONTIER_EQ_EMPTY
04632.p NOT_INTERVAL_UNIV_conjunct0
04636.p EQ_INTERVAL_conjunct0
04637.p CONNECTED_CHAIN
04638.p CONNECTED_CHAIN_GEN
04639.p CONNECTED_NEST
04641.p CONVEX_ON_SUBSET
04642.p CONVEX_ADD
04643.p CONVEX_CMUL
04644.p CONVEX_LOWER
04645.p CONVEX_LOCAL_GLOBAL_MINIMUM
04646.p CONVEX_DISTANCE
04647.p CONVEX_BALL
04648.p CONNECTED_BALL
04649.p CONVEX_CBALL
04651.p FRONTIER_OF_CONNECTED_COMPONENT_SUBSET
04652.p FRONTIER_OF_COMPONENTS_SUBSET
04653.p SURA_BURA_COMPACT
04655.p CONVEX_SCALING
04656.p CONVEX_SCALING_EQ
04657.p CONVEX_NEGATIONS
04658.p CONVEX_SUMS
04659.p CONVEX_DIFFERENCES
04660.p CONVEX_TRANSLATION_EQ
04661.p CONVEX_TRANSLATION
04663.p CONVEX_LINEAR_IMAGE
04664.p CONVEX_LINEAR_IMAGE_EQ
04666.p CONVEX_CONVEX_HULL
04667.p CONVEX_HULL_EQ
04669.p CONVEX_HULL_UNIV
04670.p BOUNDED_CONVEX_HULL
04672.p FINITE_IMP_BOUNDED_CONVEX_HULL
04673.p CONVEX_HULL_EMPTY
04674.p CONVEX_HULL_EQ_EMPTY
04675.p CONVEX_HULL_SING
04676.p CONVEX_HULL_EQ_SING
04677.p CONVEX_HULL_INSERT
04678.p CONVEX_HULL_INSERT_ALT
04679.p CONVEX_HULL_INDEXED
04680.p CONVEX_HULL_EXPLICIT
04681.p CONVEX_HULL_FINITE
04683.p CONVEX_HULL_UNION_NONEMPTY_EXPLICIT
04684.p CONVEX_HULL_UNION_UNIONS
04685.p CONVEX_HULL_FINITE_STEP_conjunct1
04686.p CONVEX_HULL_FINITE_STEP_conjunct0
04687.p CONVEX_HULL_2
04688.p CONVEX_HULL_2_ALT
04689.p CONVEX_HULL_3
04690.p CONVEX_HULL_3_ALT
04691.p CONVEX_HULL_SUMS
04692.p SUBSPACE_IMP_AFFINE
04693.p AFFINE_IMP_CONVEX
04694.p SUBSPACE_IMP_CONVEX
04695.p AFFINE_HULL_SUBSET_SPAN
04697.p CONVEX_HULL_SUBSET_AFFINE_HULL
04700.p CONVEX_SPAN
04701.p AFFINE_EQ_SUBSPACE
04702.p AFFINE_IMP_SUBSPACE
04703.p AFFINE_HULL_EQ_SPAN
04704.p CLOSED_AFFINE
04705.p CLOSED_AFFINE_HULL
04706.p CLOSURE_SUBSET_AFFINE_HULL
04707.p AFFINE_HULL_CLOSURE
04710.p DEPENDENT_AFFINE_DEPENDENT_CASES
04711.p DEPENDENT_IMP_AFFINE_DEPENDENT
04712.p AFFINE_DEPENDENT_BIGGERSET
04714.p AFFINE_INDEPENDENT_IMP_FINITE
04715.p AFFINE_INDEPENDENT_CARD_LE
04717.p DISJOINT_AFFINE_HULL
04718.p AFFINE_INDEPENDENT_SPAN_EQ
04719.p AFFINE_INDEPENDENT_SPAN_GT
04720.p EMPTY_INTERIOR_AFFINE_HULL
04721.p EMPTY_INTERIOR_CONVEX_HULL
04722.p AFFINE_DEPENDENT_CHOOSE
04723.p AFFINE_INDEPENDENT_INSERT
04725.p INDEPENDENT_IMP_AFFINE_DEPENDENT_0
04727.p AFFINE_TRANSLATION_SUBSPACE
04730.p AFFINE_PARALLEL_SLICE
04731.p MAXIMAL_AFFINE_INDEPENDENT_SUBSET
04733.p EXTEND_TO_AFFINE_BASIS
04734.p AFFINE_BASIS_EXISTS
04735.p AFF_DIM
04736.p AFF_DIM_EMPTY
04737.p AFF_DIM_AFFINE_HULL
04738.p AFF_DIM_TRANSLATION_EQ
04739.p AFFINE_INDEPENDENT_CARD_DIM_DIFFS
04740.p AFF_DIM_DIM_AFFINE_DIFFS
04741.p AFF_DIM_DIM_0
04742.p AFF_DIM_DIM_SUBSPACE
04743.p AFF_DIM_LINEAR_IMAGE_LE
04744.p AFF_DIM_INJECTIVE_LINEAR_IMAGE
04745.p AFF_DIM_AFFINE_INDEPENDENT
04747.p AFF_DIM_SING
04748.p AFF_DIM_LE_CARD
04749.p AFF_DIM_GE
04750.p AFF_DIM_SUBSET
04751.p AFF_DIM_CONVEX_HULL
04752.p AFF_DIM_2
04753.p AFF_DIM_EQ_MINUS1
04754.p AFF_DIM_POS_LE
04755.p AFF_DIM_EQ_0
04756.p AFF_DIM_UNIV
04757.p AFF_DIM_EQ_AFFINE_HULL
04758.p AFF_DIM_SUMS_INTER
04759.p AFF_DIM_PSUBSET
04760.p AFF_DIM_EQ_FULL
04761.p AFF_DIM_LE_UNIV
04762.p AFFINE_INDEPENDENT_IFF_CARD
04763.p AFFINE_HULL_CONVEX_INTER_OPEN
04765.p AFFINE_HULL_OPEN
04766.p AFF_DIM_OPEN
04767.p SPAN_OPEN
04769.p AFF_DIM_INSERT
04770.p AFFINE_BOUNDED_EQ_TRIVIAL
04772.p COLLINEAR_AFF_DIM
04773.p CONVEX_HULL_CARATHEODORY_AFF_DIM
04774.p CARATHEODORY_AFF_DIM
04775.p CONVEX_HULL_CARATHEODORY
04776.p CARATHEODORY
04777.p AFFINE_HULL_INTER
04778.p CONVEX_HULL_INTER
04779.p AFFINE_HULL_INTERS
04781.p IN_CONVEX_HULL_EXCHANGE
04782.p IN_CONVEX_HULL_EXCHANGE_UNIQUE
04783.p CONVEX_HULL_EXCHANGE_UNION
04784.p CONVEX_HULL_EXCHANGE_INTER
04785.p AFF_DIM_EQ_HYPERPLANE
04786.p AFF_DIM_HYPERPLANE
04787.p BOUNDED_HYPERPLANE_EQ_TRIVIAL
04788.p AFFINE_HULL_FINITE_INTERSECTION_HYPERPLANES
04789.p AFFINE_HYPERPLANE_SUMS_EQ_UNIV
04790.p AFF_DIM_AFFINE_INTER_HYPERPLANE
04793.p HYPERPLANE_EQ_EMPTY
04794.p HYPERPLANE_EQ_UNIV
04797.p COMPACT_CONVEX_COMBINATIONS
04798.p COMPACT_CONVEX_HULL
04799.p FINITE_IMP_COMPACT_CONVEX_HULL
04800.p DIST_INCREASES_ONLINE
04802.p SIMPLEX_FURTHEST_LT
04803.p SIMPLEX_FURTHEST_LE
04805.p SIMPLEX_EXTREMAL_LE
04807.p DIAMETER_CONVEX_HULL
04809.p CLOSER_POINTS_LEMMA
04810.p CLOSER_POINT_LEMMA
04811.p ANY_CLOSEST_POINT_DOT
04812.p ANY_CLOSEST_POINT_UNIQUE
04813.p CLOSEST_POINT_UNIQUE
04815.p CLOSEST_POINT_LT
04816.p CLOSEST_POINT_LIPSCHITZ
04817.p CONTINUOUS_AT_CLOSEST_POINT
04818.p CONTINUOUS_ON_CLOSEST_POINT
04819.p ANY_CLOSEST_POINT_AFFINE_ORTHOGONAL
04820.p ORTHOGONAL_ANY_CLOSEST_POINT
04821.p CLOSEST_POINT_AFFINE_ORTHOGONAL
04823.p SUPPORTING_HYPERPLANE_COMPACT_POINT_SUP
04826.p SEPARATING_HYPERPLANE_CLOSED_POINT_INSET
04827.p SEPARATING_HYPERPLANE_CLOSED_0_INSET
04828.p SEPARATING_HYPERPLANE_CLOSED_POINT
04829.p SEPARATING_HYPERPLANE_CLOSED_0
04830.p SEPARATING_HYPERPLANE_CLOSED_COMPACT
04831.p SEPARATING_HYPERPLANE_COMPACT_CLOSED
04832.p SEPARATING_HYPERPLANE_SET_0_INSPAN
04833.p SEPARATING_HYPERPLANE_SET_POINT_INAFF
04834.p SEPARATING_HYPERPLANE_SET_0
04835.p SEPARATING_HYPERPLANE_SETS
04836.p CONVEX_CLOSURE
04838.p CONVEX_HULL_TRANSLATION
04839.p CONVEX_HULL_SCALING
04842.p RADON_EX_LEMMA
04843.p RADON_S_LEMMA
04844.p RADON_V_LEMMA
04845.p RADON_PARTITION
04847.p HELLY_INDUCT
04848.p HELLY
04849.p CONVEX_HULL_LINEAR_IMAGE
04851.p IS_INTERVAL_CONVEX
04852.p IS_INTERVAL_CONNECTED
04853.p IS_INTERVAL_CONNECTED_1
04854.p CONVEX_INTERVAL
04855.p IS_INTERVAL_CONVEX_1
04856.p CONVEX_CONNECTED_1
04858.p CONNECTED_COMPACT_INTERVAL_1
04860.p COMPACT_FRONTIER_LINE_LEMMA
04861.p STARLIKE_COMPACT_PROJECTIVE
04864.p HOMEOMORPHIC_CONVEX_COMPACT
04865.p HOMEOMORPHIC_CLOSED_INTERVALS
04866.p CONVEX_CONE
04867.p CONVEX_CONE_LINEAR_IMAGE
04868.p CONVEX_CONE_LINEAR_IMAGE_EQ
04869.p CONVEX_CONE_HALFSPACE_GE
04870.p CONVEX_CONE_HALFSPACE_LE
04871.p CONVEX_CONE_CONTAINS_0
04872.p CONVEX_CONE_INTERS
04873.p CONVEX_CONE_CONVEX_CONE_HULL
04874.p CONVEX_CONVEX_CONE_HULL
04875.p CONIC_CONVEX_CONE_HULL
04877.p CONVEX_CONE_HULL_CONTAINS_0
04878.p CONVEX_CONE_HULL_ADD
04879.p CONVEX_CONE_HULL_MUL
04880.p CONVEX_CONE_SUMS
04881.p CONVEX_CONE_HULL_UNION
04882.p CONVEX_CONE_SING
04883.p CONVEX_HULL_SUBSET_CONVEX_CONE_HULL
04885.p CONVEX_CONE_HULL_SEPARATE_NONEMPTY
04886.p CONVEX_CONE_HULL_EMPTY
04887.p CONVEX_CONE_HULL_SEPARATE
04888.p CONVEX_CONE_HULL_CONVEX_HULL_NONEMPTY
04890.p CONVEX_CONE_HULL_LINEAR_IMAGE
04892.p CONVEX_CONE_SPAN
04893.p CONVEX_CONE_NEGATIONS
04894.p SUBSPACE_CONVEX_CONE_SYMMETRIC
04895.p SPAN_CONVEX_CONE_ALLSIGNS
04897.p CONVEX_EPIGRAPH
04898.p CONVEX_EPIGRAPH_CONVEX
04899.p FORALL_OF_PASTECART
04900.p FORALL_OF_DROP
04901.p CONVEX_ON_JENSEN
04902.p IVT_INCREASING_COMPONENT_ON_1
04903.p IVT_INCREASING_COMPONENT_1
04904.p IVT_DECREASING_COMPONENT_ON_1
04905.p IVT_DECREASING_COMPONENT_1
04906.p CONVEX_ON_CONVEX_HULL_BOUND
04907.p UNIT_INTERVAL_CONVEX_HULL
04908.p CLOSED_INTERVAL_AS_CONVEX_HULL
04909.p CONVEX_ON_BOUNDED_CONTINUOUS
04910.p CONVEX_BOUNDS_LEMMA
04911.p CONVEX_ON_CONTINUOUS
04912.p CONVEX_ON_RIGHT_SECANT_MUL
04913.p CONVEX_ON_LEFT_SECANT_MUL
04914.p CONVEX_ON_RIGHT_SECANT
04915.p CONVEX_ON_LEFT_SECANT
04916.p CONVEX_CONTAINS_SEGMENT
04917.p CONVEX_IMP_STARLIKE
04918.p SEGMENT_CONVEX_HULL
04919.p SEGMENT_FURTHEST_LE
04920.p SEGMENT_BOUND
04921.p BETWEEN_IN_CONVEX_HULL
04922.p STARLIKE_LINEAR_IMAGE
04923.p STARLIKE_LINEAR_IMAGE_EQ
04924.p STARLIKE_TRANSLATION_EQ
04925.p BETWEEN_LINEAR_IMAGE_EQ
04928.p STARLIKE_UNIV
04929.p IN_INTERIOR_CONVEX_SHRINK
04930.p IN_INTERIOR_CLOSURE_CONVEX_SHRINK
04931.p IN_INTERIOR_CLOSURE_CONVEX_SEGMENT
04932.p RELATIVE_INTERIOR
04933.p RELATIVE_INTERIOR_EQ
04934.p RELATIVE_INTERIOR_OPEN_IN
04935.p RELATIVE_INTERIOR_EMPTY
04936.p RELATIVE_INTERIOR_AFFINE
04938.p OPEN_IN_RELATIVE_INTERIOR
04939.p RELATIVE_INTERIOR_SUBSET
04940.p SUBSET_RELATIVE_INTERIOR
04941.p RELATIVE_INTERIOR_MAXIMAL
04943.p IN_RELATIVE_INTERIOR
04944.p IN_RELATIVE_INTERIOR_CBALL
04946.p RELATIVE_INTERIOR_TRANSLATION
04947.p RELATIVE_INTERIOR_INJECTIVE_LINEAR_IMAGE
04948.p RELATIVE_INTERIOR_EQ_EMPTY
04949.p RELATIVE_INTERIOR_INTERIOR
04950.p RELATIVE_INTERIOR_OPEN
04951.p AFFINE_HULL_CONVEX_HULL
04952.p INTERIOR_SIMPLEX_NONEMPTY
04953.p INTERIOR_SUBSET_RELATIVE_INTERIOR
04954.p CONVEX_RELATIVE_INTERIOR
04955.p IN_RELATIVE_INTERIOR_CONVEX_SHRINK
04956.p IN_RELATIVE_INTERIOR_CLOSURE_CONVEX_SHRINK
04957.p IN_RELATIVE_INTERIOR_CLOSURE_CONVEX_SEGMENT
04958.p RELATIVE_INTERIOR_SING
04959.p RELATIVE_INTERIOR_PROLONG
04960.p RELATIVE_INTERIOR_CONVEX_PROLONG
04961.p RELATIVE_INTERIOR_EQ_CLOSURE
04962.p CONVEX_CLOSURE_INTERIOR
04963.p EMPTY_INTERIOR_SUBSET_HYPERPLANE
04964.p CONVEX_INTERIOR_CLOSURE
04965.p CONVEX_CLOSURE_RELATIVE_INTERIOR
04967.p CONVEX_RELATIVE_INTERIOR_CLOSURE
04968.p CONNECTED_INTER_RELATIVE_FRONTIER
04969.p CLOSED_RELATIVE_FRONTIER
04971.p CONVEX_SAME_RELATIVE_INTERIOR_CLOSURE_STRADDLE
04972.p RELATIVE_INTERIOR_LINEAR_IMAGE_CONVEX
04973.p CLOSURE_INTERS_CONVEX
04974.p CLOSURE_INTERS_CONVEX_OPEN
04975.p CLOSURE_INTER_CONVEX
04976.p CLOSURE_INTER_CONVEX_OPEN
04977.p CLOSURE_CONVEX_INTER_SUPERSET
04978.p CLOSURE_DYADIC_RATIONALS_IN_CONVEX_SET
04981.p SUPPORTING_HYPERPLANE_RELATIVE_BOUNDARY
04982.p SUPPORTING_HYPERPLANE_RELATIVE_FRONTIER
04983.p EXPLICIT_SUBSET_RELATIVE_INTERIOR_CONVEX_HULL
04984.p EXPLICIT_SUBSET_RELATIVE_INTERIOR_CONVEX_HULL_MINIMAL
04985.p RELATIVE_INTERIOR_CONVEX_HULL_EXPLICIT
04988.p INTERIOR_CONVEX_HULL_EXPLICIT_MINIMAL
04990.p INTERIOR_CONVEX_HULL_3_MINIMAL
04992.p CLOSURE_CONVEX_HULL
04993.p RELATIVE_FRONTIER_CONVEX_HULL_EXPLICIT
04995.p RELATIVE_FRONTIER_CONVEX_HULL_CASES
04996.p FRONTIER_CONVEX_HULL_CASES
04997.p IN_FRONTIER_CONVEX_HULL
05000.p SIMPLEX_EXPLICIT
05001.p STD_SIMPLEX
05003.p PATH_CONTINUOUS_IMAGE
05004.p PATH_TRANSLATION_EQ
05005.p PATH_LINEAR_IMAGE_EQ
05006.p PATHSTART_TRANSLATION
05007.p PATHSTART_LINEAR_IMAGE_EQ
05008.p PATHFINISH_TRANSLATION
05009.p PATHFINISH_LINEAR_IMAGE
05010.p PATH_IMAGE_TRANSLATION
05011.p PATH_IMAGE_LINEAR_IMAGE
05012.p REVERSEPATH_TRANSLATION
05013.p REVERSEPATH_LINEAR_IMAGE
05014.p JOINPATHS_TRANSLATION
05015.p JOINPATHS_LINEAR_IMAGE
05016.p SIMPLE_PATH_TRANSLATION_EQ
05017.p SIMPLE_PATH_LINEAR_IMAGE_EQ
05018.p ARC_TRANSLATION_EQ
05019.p ARC_LINEAR_IMAGE_EQ
05020.p ARC_IMP_SIMPLE_PATH
05021.p ARC_IMP_PATH
05022.p SIMPLE_PATH_IMP_PATH
05023.p SIMPLE_PATH_CASES
05024.p SIMPLE_PATH_IMP_ARC
05025.p ARC_DISTINCT_ENDS
05026.p ARC_SIMPLE_PATH
05027.p SIMPLE_PATH_EQ_ARC
05028.p PATH_IMAGE_NONEMPTY
05029.p PATHSTART_IN_PATH_IMAGE
05030.p PATHFINISH_IN_PATH_IMAGE
05031.p CONNECTED_PATH_IMAGE
05032.p COMPACT_PATH_IMAGE
05033.p BOUNDED_PATH_IMAGE
05034.p CLOSED_PATH_IMAGE
05035.p CONNECTED_SIMPLE_PATH_IMAGE
05043.p PATHSTART_COMPOSE
05044.p PATHFINISH_COMPOSE
05045.p PATH_IMAGE_COMPOSE
05048.p SIMPLE_PATH_ENDLESS
05051.p JOINPATHS
05052.p REVERSEPATH_REVERSEPATH
05053.p PATHSTART_REVERSEPATH
05054.p PATHFINISH_REVERSEPATH
05055.p PATHSTART_JOIN
05056.p PATHFINISH_JOIN
05057.p PATH_IMAGE_REVERSEPATH
05058.p PATH_REVERSEPATH
05059.p PATH_JOIN
05060.p PATH_JOIN_IMP
05061.p PATH_IMAGE_JOIN_SUBSET
05062.p SUBSET_PATH_IMAGE_JOIN
05063.p PATH_IMAGE_JOIN
05065.p ARC_REVERSEPATH
05067.p SIMPLE_PATH_JOIN_LOOP
05068.p ARC_JOIN
05069.p REVERSEPATH_JOINPATHS
05070.p ENDS_IN_UNIT_INTERVAL_conjunct3
05071.p ENDS_IN_UNIT_INTERVAL_conjunct2
05072.p ENDS_IN_UNIT_INTERVAL_conjunct1
05073.p ENDS_IN_UNIT_INTERVAL_conjunct0
05074.p PATH_JOIN_PATH_ENDS
05075.p PATH_JOIN_EQ
05076.p SIMPLE_PATH_JOIN_IMP
05077.p SIMPLE_PATH_JOIN_LOOP_EQ
05078.p ARC_JOIN_EQ
05081.p SIMPLE_PATH_ASSOC
05086.p SHIFTPATH_TRANSLATION
05087.p SHIFTPATH_LINEAR_IMAGE
05088.p PATHSTART_SHIFTPATH
05089.p PATHFINISH_SHIFTPATH
05091.p CLOSED_SHIFTPATH
05092.p PATH_SHIFTPATH
05094.p PATH_IMAGE_SHIFTPATH
05095.p SIMPLE_PATH_SHIFTPATH
05096.p SUBPATH_SCALING_LEMMA
05097.p PATH_IMAGE_SUBPATH_GEN
05098.p PATH_IMAGE_SUBPATH
05099.p PATH_SUBPATH
05100.p PATHSTART_SUBPATH
05101.p PATHFINISH_SUBPATH
05102.p SUBPATH_TRIVIAL
05103.p SUBPATH_REVERSEPATH
05104.p REVERSEPATH_SUBPATH
05105.p SUBPATH_TRANSLATION
05106.p SUBPATH_LINEAR_IMAGE
05107.p SIMPLE_PATH_SUBPATH_EQ
05109.p SIMPLE_PATH_SUBPATH
05110.p ARC_SIMPLE_PATH_SUBPATH
05111.p ARC_SIMPLE_PATH_SUBPATH_INTERIOR
05112.p PATH_IMAGE_SUBPATH_SUBSET
05118.p SUBPATH_TO_FRONTIER_EXPLICIT
05119.p SUBPATH_TO_FRONTIER_STRONG
05120.p SUBPATH_TO_FRONTIER
05121.p EXISTS_PATH_SUBPATH_TO_FRONTIER
05123.p LINEPATH_TRANSLATION
05124.p LINEPATH_LINEAR_IMAGE
05125.p PATHSTART_LINEPATH
05126.p PATHFINISH_LINEPATH
05127.p CONTINUOUS_LINEPATH_AT
05128.p CONTINUOUS_ON_LINEPATH
05129.p PATH_LINEPATH
05130.p PATH_IMAGE_LINEPATH
05131.p REVERSEPATH_LINEPATH
05132.p ARC_LINEPATH
05133.p SIMPLE_PATH_LINEPATH
05134.p SIMPLE_PATH_LINEPATH_EQ
05135.p ARC_LINEPATH_EQ
05136.p LINEPATH_REFL
05138.p SUBPATH_REFL
05140.p NOT_ON_PATH_BALL
05142.p PATH_COMPONENT_IN
05143.p PATH_COMPONENT_REFL
05144.p PATH_COMPONENT_REFL_EQ
05145.p PATH_COMPONENT_SYM
05146.p PATH_COMPONENT_TRANS
05147.p PATH_COMPONENT_SET
05148.p PATH_COMPONENT_SUBSET
05149.p PATH_COMPONENT_EQ_EMPTY
05151.p PATH_COMPONENT_TRANSLATION
05152.p PATH_COMPONENT_LINEAR_IMAGE
05153.p PATH_CONNECTED_IFF_PATH_COMPONENT
05154.p PATH_CONNECTED_COMPONENT_SET
05155.p PATH_COMPONENT_MONO
05156.p PATH_COMPONENT_OF_SUBSET
05157.p PATH_COMPONENT_MAXIMAL
05158.p PATH_COMPONENT_EQ
05159.p PATH_COMPONENT_PATH_IMAGE_PATHSTART
05160.p PATH_CONNECTED_PATH_IMAGE
05161.p PATH_CONNECTED_PATH_COMPONENT
05163.p PATH_CONNECTED_LINEPATH
05164.p PATH_COMPONENT_DISJOINT
05165.p OPEN_GENERAL_COMPONENT
05166.p OPEN_NON_GENERAL_COMPONENT
05168.p CONVEX_IMP_PATH_CONNECTED
05169.p PATH_CONNECTED_UNIV
05171.p PATH_CONNECTED_IMP_CONNECTED
05174.p CONNECTED_OPEN_PATH_CONNECTED
05175.p PATH_CONNECTED_EQ_CONNECTED
05176.p PATH_CONNECTED_CONTINUOUS_IMAGE
05177.p HOMEOMORPHIC_PATH_CONNECTEDNESS
05178.p PATH_CONNECTED_LINEAR_IMAGE
05179.p PATH_CONNECTED_LINEAR_IMAGE_EQ
05180.p PATH_CONNECTED_EMPTY
05181.p PATH_CONNECTED_SING
05182.p PATH_CONNECTED_UNION
05184.p PATH_CONNECTED_TRANSLATION_EQ
05186.p SEGMENT_OPEN_SUBSET_CLOSED
05187.p CLOSED_SEGMENT
05188.p SEGMENT_IMAGE_INTERVAL_conjunct1
05189.p SEGMENT_IMAGE_INTERVAL_conjunct0
05190.p CLOSURE_SEGMENT_conjunct1
05191.p CLOSURE_SEGMENT_conjunct0
05192.p AFFINE_HULL_SEGMENT_conjunct1
05193.p SEGMENT_AS_BALL_conjunct1
05194.p SEGMENT_AS_BALL_conjunct0
05195.p CONVEX_SEGMENT_conjunct1
05196.p CONVEX_SEGMENT_conjunct0
05197.p AFFINE_HULL_SEGMENT_conjunct0
05198.p RELATIVE_INTERIOR_SEGMENT_conjunct1
05200.p CONVEX_SEMIOPEN_SEGMENT_conjunct0
05201.p CONVEX_SEMIOPEN_SEGMENT_conjunct1
05204.p SEGMENT_EQ_EMPTY_conjunct1
05206.p FINITE_SEGMENT_conjunct0
05207.p FINITE_SEGMENT_conjunct1
05208.p SEGMENT_EQ_SING_conjunct1
05209.p SEGMENT_EQ_EMPTY_conjunct0
05210.p SEGMENT_EQ_SING_conjunct0
05211.p SUBSET_SEGMENT_OPEN_CLOSED
05212.p SUBSET_SEGMENT_conjunct1
05213.p SUBSET_SEGMENT_conjunct0
05214.p RELATIVE_INTERIOR_SEGMENT_conjunct0
05215.p SEGMENT_EQ_conjunct0
05217.p COMPACT_SEGMENT
05220.p UNION_SEGMENT
05221.p INTER_SEGMENT
05222.p CARD_EQ_EUCLIDEAN
05224.p CARD_EQ_INTERVAL_conjunct1
05225.p CARD_EQ_INTERVAL_conjunct0
05228.p CARD_EQ_OPEN
05229.p CARD_EQ_BALL
05231.p CARD_EQ_SEGMENT_conjunct1
05232.p CARD_EQ_SEGMENT_conjunct0
05234.p CARD_EQ_CONVEX
05236.p INTERVAL_NE_EMPTY_1_conjunct1
05237.p INTERVAL_NE_EMPTY_1_conjunct0
05238.p Float.REAL_RINV_2
05239.p HOMEOMORPHIC_MONOTONE_IMAGE_INTERVAL
05241.p CONNECTED_SEGMENT_conjunct0
05242.p PATH_CONTAINS_ARC
05243.p PATH_CONNECTED_ARCWISE
05246.p OPEN_CONNECTED_COMPONENT
05247.p IN_CLOSURE_CONNECTED_COMPONENT
05248.p PATH_COMPONENT_SUBSET_CONNECTED_COMPONENT
05250.p OPEN_COMPONENTS
05251.p CONTINUOUS_ON_COMPONENTS
05255.p PATH_CONNECTED_CONVEX_DIFF_CARD_LT
05257.p PATH_CONNECTED_OPEN_DIFF_CARD_LT
05259.p PATH_CONNECTED_OPEN_DIFF_COUNTABLE
05261.p PATH_CONNECTED_OPEN_DELETE
05262.p CONNECTED_OPEN_DELETE
05263.p PATH_CONNECTED_PUNCTURED_UNIVERSE
05266.p CONNECTED_PUNCTURED_BALL
05267.p PATH_CONNECTED_SPHERE
05268.p CONNECTED_SPHERE
05269.p IN_IMAGE_LIFT_DROP_conjunct1
05270.p IN_IMAGE_LIFT_DROP_conjunct0
05272.p PATH_CONNECTED_ANNULUS_conjunct2
05273.p PATH_CONNECTED_ANNULUS_conjunct1
05274.p PATH_CONNECTED_ANNULUS_conjunct0
05277.p CONNECTED_ANNULUS_conjunct1
05279.p PATH_CONNECTED_COMPLEMENT_BOUNDED_CONVEX
05280.p CONNECTED_COMPLEMENT_BOUNDED_CONVEX
05282.p PATH_CONNECTED_DIFF_BALL
05284.p COBOUNDED_UNBOUNDED_COMPONENT
05285.p COBOUNDED_UNIQUE_UNBOUNDED_COMPONENT
05286.p INSIDE_TRANSLATION
05287.p OUTSIDE_TRANSLATION
05288.p INSIDE_LINEAR_IMAGE
05289.p OUTSIDE_LINEAR_IMAGE
05290.p OUTSIDE
05291.p INSIDE_NO_OVERLAP
05292.p OUTSIDE_NO_OVERLAP
05293.p INSIDE_INTER_OUTSIDE
05294.p INSIDE_UNION_OUTSIDE
05296.p INSIDE_OUTSIDE
05297.p OUTSIDE_INSIDE
05300.p OUTSIDE_MONO
05302.p COBOUNDED_OUTSIDE
05303.p UNBOUNDED_OUTSIDE
05304.p BOUNDED_INSIDE
05305.p CONNECTED_OUTSIDE
05306.p OUTSIDE_CONNECTED_COMPONENT_LT
05313.p INSIDE_SUBSET
05314.p INSIDE_UNIQUE
05316.p INTERIOR_INSIDE_FRONTIER
05317.p INSIDE_EMPTY
05318.p OUTSIDE_EMPTY
05319.p INSIDE_SAME_COMPONENT
05320.p OUTSIDE_SAME_COMPONENT
05321.p OUTSIDE_CONVEX
05322.p INSIDE_CONVEX
05323.p OUTSIDE_SUBSET_CONVEX
05324.p OUTSIDE_FRONTIER_MISSES_CLOSURE
05326.p INSIDE_FRONTIER_EQ_INTERIOR
05327.p OPEN_INSIDE
05328.p OPEN_OUTSIDE
05329.p CLOSURE_INSIDE_SUBSET
05330.p FRONTIER_INSIDE_SUBSET
05331.p CLOSURE_OUTSIDE_SUBSET
05332.p FRONTIER_OUTSIDE_SUBSET
05333.p INSIDE_COMPLEMENT_UNBOUNDED_CONNECTED_EMPTY
05334.p INSIDE_BOUNDED_COMPLEMENT_CONNECTED_EMPTY
05335.p INSIDE_INSIDE
05337.p INSIDE_OUTSIDE_INTERSECT_CONNECTED
05338.p OUTSIDE_BOUNDED_NONEMPTY
05339.p OUTSIDE_COMPACT_IN_OPEN
05342.p CONNECTED_WITH_OUTSIDE
05344.p HOMOTOPIC_WITH
05345.p HOMOTOPIC_WITH_EQ
05346.p HOMOTOPIC_WITH_IMP_PROPERTY
05347.p HOMOTOPIC_WITH_IMP_CONTINUOUS
05348.p HOMOTOPIC_WITH_IMP_SUBSET
05349.p HOMOTOPIC_WITH_MONO
05351.p HOMOTOPIC_WITH_COMPOSE_CONTINUOUS_RIGHT
05352.p HOMOTOPIC_COMPOSE_CONTINUOUS_RIGHT
05353.p HOMOTOPIC_WITH_COMPOSE_CONTINUOUS_LEFT
05354.p HOMOTOPIC_COMPOSE_CONTINUOUS_LEFT
05355.p HOMOTOPIC_WITH_REFL
05356.p HOMOTOPIC_WITH_SYM
05357.p HOMOTOPIC_WITH_TRANS
05358.p HOMOTOPIC_PATHS_IMP_PATHSTART
05359.p HOMOTOPIC_PATHS_IMP_PATHFINISH
05360.p HOMOTOPIC_PATHS_IMP_PATH
05361.p HOMOTOPIC_PATHS_IMP_SUBSET
05362.p HOMOTOPIC_PATHS_REFL
05363.p HOMOTOPIC_PATHS_SYM
05364.p HOMOTOPIC_PATHS_TRANS
05365.p HOMOTOPIC_PATHS_EQ
05366.p HOMOTOPIC_PATHS_REPARAMETRIZE
05367.p HOMOTOPIC_PATHS_SUBSET
05368.p HOMOTOPIC_JOIN_LEMMA
05369.p HOMOTOPIC_PATHS_REVERSEPATH
05370.p HOMOTOPIC_PATHS_JOIN
05371.p HOMOTOPIC_PATHS_CONTINUOUS_IMAGE
05372.p HOMOTOPIC_PATHS_RID
05373.p HOMOTOPIC_PATHS_LID
05374.p HOMOTOPIC_PATHS_ASSOC
05375.p HOMOTOPIC_PATHS_RINV
05376.p HOMOTOPIC_PATHS_LINV
05377.p HOMOTOPIC_LOOPS_IMP_LOOP
05378.p HOMOTOPIC_LOOPS_IMP_PATH
05379.p HOMOTOPIC_LOOPS_IMP_SUBSET
05380.p HOMOTOPIC_LOOPS_REFL
05381.p HOMOTOPIC_LOOPS_SYM
05382.p HOMOTOPIC_LOOPS_TRANS
05384.p HOMOTOPIC_PATHS_IMP_HOMOTOPIC_LOOPS
05385.p HOMOTOPIC_LOOPS_IMP_HOMOTOPIC_PATHS_NULL
05387.p PATH_COMPONENT_IMP_HOMOTOPIC_POINTS
05388.p HOMOTOPIC_LOOPS_IMP_PATH_COMPONENT_VALUE
05389.p HOMOTOPIC_POINTS_EQ_PATH_COMPONENT
05390.p PATH_CONNECTED_EQ_HOMOTOPIC_POINTS
05391.p HOMOTOPIC_PATHS_LINEAR
05392.p HOMOTOPIC_LOOPS_LINEAR
05393.p HOMOTOPIC_LOOPS_NEARBY_EXPLICIT
05394.p HOMOTOPIC_PATHS_NEARBY_EXPLICIT
05397.p HOMOTOPIC_JOIN_SUBPATHS
05399.p HOMOTOPIC_PATHS_LOOP_PARTS
05400.p SIMPLY_CONNECTED_EMPTY
05401.p SIMPLY_CONNECTED_IMP_PATH_CONNECTED
05402.p SIMPLY_CONNECTED_IMP_CONNECTED
05403.p SIMPLY_CONNECTED_EQ_CONTRACTIBLE_LOOP_ANY
05404.p SIMPLY_CONNECTED_EQ_CONTRACTIBLE_LOOP_SOME
05406.p SIMPLY_CONNECTED_EQ_CONTRACTIBLE_PATH
05407.p SIMPLY_CONNECTED_EQ_HOMOTOPIC_PATHS
05408.p HOMEOMORPHIC_SIMPLY_CONNECTED
05409.p HOMEOMORPHIC_SIMPLY_CONNECTED_EQ
05410.p SIMPLY_CONNECTED_TRANSLATION
05411.p SIMPLY_CONNECTED_INJECTIVE_LINEAR_IMAGE
05413.p HOMEOMORPHIC_CONTRACTIBLE
05414.p HOMEOMORPHIC_CONTRACTIBLE_EQ
05415.p CONTRACTIBLE_TRANSLATION
05416.p CONTRACTIBLE_INJECTIVE_LINEAR_IMAGE
05417.p CONTRACTIBLE_IMP_SIMPLY_CONNECTED
05418.p STARLIKE_IMP_CONTRACTIBLE_GEN
05419.p STARLIKE_IMP_CONTRACTIBLE
05420.p STARLIKE_IMP_SIMPLY_CONNECTED
05421.p CONVEX_IMP_SIMPLY_CONNECTED
05422.p STARLIKE_IMP_PATH_CONNECTED
05424.p NULLHOMOTOPIC_THROUGH_CONTRACTIBLE
05426.p NULLHOMOTOPIC_FROM_CONTRACTIBLE
05430.p FACE_OF_TRANSLATION_EQ
05431.p FACE_OF_LINEAR_IMAGE
05432.p FACE_OF_REFL
05433.p FACE_OF_REFL_EQ
05434.p EMPTY_FACE_OF
05435.p FACE_OF_EMPTY
05436.p FACE_OF_TRANS
05437.p FACE_OF_FACE
05438.p FACE_OF_SUBSET
05440.p FACE_OF_INTER
05441.p FACE_OF_INTERS
05442.p FACE_OF_INTER_INTER
05443.p FACE_OF_STILLCONVEX
05444.p FACE_OF_INTER_SUPPORTING_HYPERPLANE_LE_STRONG
05445.p FACE_OF_INTER_SUPPORTING_HYPERPLANE_GE_STRONG
05446.p FACE_OF_INTER_SUPPORTING_HYPERPLANE_LE
05447.p FACE_OF_INTER_SUPPORTING_HYPERPLANE_GE
05448.p FACE_OF_IMP_SUBSET
05449.p FACE_OF_IMP_CONVEX
05450.p FACE_OF_IMP_CLOSED
05451.p FACE_OF_IMP_COMPACT
05452.p SUBSET_OF_FACE_OF
05453.p FACE_OF_EQ
05454.p FACE_OF_DISJOINT_RELATIVE_INTERIOR
05455.p FACE_OF_DISJOINT_INTERIOR
05456.p FACE_OF_AFF_DIM_LT
05457.p FACE_OF_CONVEX_HULLS
05459.p FACE_OF_AFFINE_TRIVIAL
05461.p INTERS_FACES_FINITE_ALTBOUND
05464.p FACE_OF_CONIC
05465.p EMPTY_EXPOSED_FACE_OF
05466.p EXPOSED_FACE_OF_REFL_EQ
05467.p EXPOSED_FACE_OF_REFL
05468.p EXPOSED_FACE_OF
05469.p EXPOSED_FACE_OF_TRANSLATION_EQ
05471.p EXPOSED_FACE_OF_INTER
05472.p EXPOSED_FACE_OF_INTERS
05473.p EXPOSED_FACE_OF_INTER_SUPPORTING_HYPERPLANE_LE
05474.p EXPOSED_FACE_OF_INTER_SUPPORTING_HYPERPLANE_GE
05475.p EXPOSED_FACE_OF_SUMS
05477.p EXTREME_POINT_OF_STILLCONVEX
05478.p FACE_OF_SING
05479.p EXTREME_POINT_NOT_IN_RELATIVE_INTERIOR
05480.p EXTREME_POINT_NOT_IN_INTERIOR
05481.p EXTREME_POINT_OF_FACE
05483.p EXTREME_POINT_OF_CONVEX_HULL
05484.p EXTREME_POINTS_OF_CONVEX_HULL
05487.p EXTREME_POINT_OF_TRANSLATION_EQ
05488.p EXTREME_POINT_OF_LINEAR_IMAGE
05489.p EXTREME_POINTS_OF_TRANSLATION
05491.p EXTREME_POINTS_OF_LINEAR_IMAGE
05492.p EXTREME_POINT_OF_INTER_SUPPORTING_HYPERPLANE_LE
05494.p EXPOSED_POINT_OF_INTER_SUPPORTING_HYPERPLANE_LE
05497.p COLLINEAR_EXTREME_POINTS
05499.p EXTREME_POINT_OF_CONVEX_HULL_INSERT
05500.p FACET_OF_EMPTY
05501.p FACET_OF_REFL
05502.p FACET_OF_IMP_FACE_OF
05503.p FACET_OF_IMP_SUBSET
05504.p FACET_OF_TRANSLATION_EQ
05505.p FACET_OF_LINEAR_IMAGE
05506.p EDGE_OF_TRANSLATION_EQ
05507.p EDGE_OF_LINEAR_IMAGE
05508.p EDGE_OF_IMP_SUBSET
05509.p DIFFERENT_NORM_3_COLLINEAR_POINTS
05510.p EXTREME_POINT_EXISTS_CONVEX
05511.p KREIN_MILMAN
05512.p KREIN_MILMAN_MINKOWSKI
05514.p EXTREME_POINTS_OF_CONVEX_HULL_EQ
05515.p EXTREME_POINT_OF_CONVEX_HULL_EQ
05516.p EXTREME_POINT_OF_CONVEX_HULL_CONVEX_INDEPENDENT
05517.p EXTREME_POINT_OF_CONVEX_HULL_AFFINE_INDEPENDENT
05518.p EXTREME_POINT_OF_CONVEX_HULL_2
05519.p EXTREME_POINT_OF_SEGMENT
05520.p FACE_OF_CONVEX_HULL_SUBSET
05521.p FACE_OF_CONVEX_HULL_AFFINE_INDEPENDENT
05522.p FACET_OF_CONVEX_HULL_AFFINE_INDEPENDENT
05523.p FACET_OF_CONVEX_HULL_AFFINE_INDEPENDENT_ALT
05524.p SEGMENT_FACE_OF
05525.p SEGMENT_EDGE_OF
05526.p COMPACT_CONVEX_COLLINEAR_SEGMENT
05531.p POLYTOPE_TRANSLATION_EQ
05532.p POLYTOPE_LINEAR_IMAGE
05535.p POLYTOPE_CONVEX_HULL
05536.p FACE_OF_POLYTOPE_POLYTOPE
05537.p FINITE_POLYTOPE_FACES
05538.p FINITE_POLYTOPE_FACETS
05539.p POLYTOPE_SCALING
05542.p POLYTOPE_IMP_COMPACT
05543.p POLYTOPE_IMP_CONVEX
05544.p POLYTOPE_IMP_CLOSED
05545.p POLYTOPE_IMP_BOUNDED
05546.p POLYTOPE_INTERVAL
05547.p POLYTOPE_SING
05548.p POLYHEDRON_INTER
05549.p POLYHEDRON_UNIV
05550.p POLYHEDRON_POSITIVE_ORTHANT
05551.p POLYHEDRON_INTERS
05552.p POLYHEDRON_EMPTY
05553.p POLYHEDRON_HALFSPACE_LE
05554.p POLYHEDRON_HALFSPACE_GE
05555.p POLYHEDRON_HYPERPLANE
05556.p AFFINE_IMP_POLYHEDRON
05557.p POLYHEDRON_IMP_CLOSED
05558.p POLYHEDRON_IMP_CONVEX
05559.p POLYHEDRON_AFFINE_HULL
05560.p POLYHEDRON_INTER_AFFINE
05561.p POLYHEDRON_INTER_AFFINE_PARALLEL
05562.p POLYHEDRON_INTER_AFFINE_PARALLEL_MINIMAL
05563.p POLYHEDRON_INTER_AFFINE_MINIMAL
05564.p RELATIVE_INTERIOR_POLYHEDRON_EXPLICIT
05565.p FACET_OF_POLYHEDRON_EXPLICIT
05566.p FACE_OF_POLYHEDRON_SUBSET_EXPLICIT
05567.p FACE_OF_POLYHEDRON_EXPLICIT
05568.p FACET_OF_POLYHEDRON
05569.p FACE_OF_POLYHEDRON
05570.p FACE_OF_POLYHEDRON_SUBSET_FACET
05571.p EXPOSED_FACE_OF_POLYHEDRON
05572.p FACE_OF_POLYHEDRON_POLYHEDRON
05573.p FINITE_POLYHEDRON_FACES
05574.p FINITE_POLYHEDRON_EXPOSED_FACES
05575.p FINITE_POLYHEDRON_EXTREME_POINTS
05576.p FINITE_POLYHEDRON_FACETS
05577.p RELATIVE_INTERIOR_OF_POLYHEDRON
05579.p FACETS_OF_POLYHEDRON_EXPLICIT_DISTINCT
05580.p POLYHEDRON_EQ_FINITE_EXPOSED_FACES
05581.p POLYHEDRON_EQ_FINITE_FACES
05582.p POLYHEDRON_TRANSLATION_EQ
05583.p POLYHEDRON_LINEAR_IMAGE_EQ
05584.p POLYHEDRON_NEGATIONS
05585.p POLYTOPE_EQ_BOUNDED_POLYHEDRON
05587.p POLYTOPE_IMP_POLYHEDRON
05588.p POLYTOPE_FACET_EXISTS
05590.p POLYHEDRON_CONVEX_HULL
05591.p POLYTOPE_UNION_CONVEX_HULL_FACETS
05592.p POLYHEDRON_CONVEX_CONE_HULL
05594.p FINITELY_GENERATED_CONIC_POLYHEDRON
05595.p POLYHEDRON_POLYTOPE_SUMS
05596.p POLYHEDRON_AS_CONE_PLUS_CONV
05597.p POLYHEDRON_LINEAR_IMAGE
05598.p POLYHEDRON_SUMS
05603.p FRONTIER_OF_CONVEX_HULL
05605.p INTERIOR_SEGMENT_conjunct1
05606.p INTERIOR_SEGMENT_conjunct0
05607.p FRONTIER_OF_TRIANGLE
05613.p SIMPLEX
05614.p CONVEX_SIMPLEX
05615.p COMPACT_SIMPLEX
05616.p SIMPLEX_IMP_POLYTOPE
05618.p SIMPLEX_EMPTY
05620.p AFF_DIM_SIMPLEX
05621.p SIMPLEX_EXTREME_POINTS
05622.p SIMPLEX_FACE_OF_SIMPLEX
05623.p FACE_OF_SIMPLEX_SUBSET
05624.p SUBSET_FACE_OF_SIMPLEX
05625.p FACES_OF_SIMPLEX
05626.p HAS_SIZE_FACES_OF_SIMPLEX
05627.p FINITE_FACES_OF_SIMPLEX
05631.p BINOM_LT
05632.p BINOM_REFL
05634.p BINOM_FACT
05637.p BINOM_TOP_STEP
05638.p BINOM_BOTTOM_STEP
05640.p REAL_BINOMIAL_THEOREM
05641.p BINOM_TOP_STEP_REAL
05642.p BINOM_BOTTOM_STEP_REAL
05644.p BINOM_BOTH_STEP_REAL
05645.p BINOM_BOTH_STEP
05648.p BROUWER_COMPACTNESS_LEMMA
05649.p KUHN_LABELLING_LEMMA
05650.p KUHN_COUNTING_LEMMA
05651.p HAS_SIZE_1_EXISTS
05652.p HAS_SIZE_2_EXISTS
05653.p IMAGE_LEMMA_0
05654.p IMAGE_LEMMA_1
05655.p IMAGE_LEMMA_2
05656.p KUHN_COMPLETE_LEMMA
05657.p KLE_REFL
05658.p KLE_ANTISYM
05659.p POINTWISE_MINIMAL
05660.p POINTWISE_MAXIMAL
05661.p KLE_IMP_POINTWISE
05662.p POINTWISE_ANTISYM
05663.p KLE_TRANS
05664.p KLE_STRICT
05665.p KLE_MINIMAL
05666.p KLE_MAXIMAL
05667.p KLE_STRICT_SET
05668.p KLE_RANGE_COMBINE
05669.p KLE_RANGE_COMBINE_L
05670.p KLE_RANGE_COMBINE_R
05671.p KLE_RANGE_INDUCT
05672.p KLE_SUC
05673.p KLE_TRANS_1
05674.p KLE_TRANS_2
05675.p KLE_BETWEEN_R
05676.p KLE_BETWEEN_L
05678.p KSIMPLEX_EXTREMA
05679.p KSIMPLEX_EXTREMA_STRONG
05680.p KSIMPLEX_SUCCESSOR
05681.p KSIMPLEX_PREDECESSOR
05682.p FINITE_SIMPLICES
05684.p KSIMPLEX_FIX_PLANE
05685.p KSIMPLEX_FIX_PLANE_0
05686.p KSIMPLEX_FIX_PLANE_P
05687.p KSIMPLEX_REPLACE_0
05688.p KSIMPLEX_REPLACE_1
05689.p KSIMPLEX_REPLACE_2
05690.p KUHN_SIMPLEX_LEMMA
05691.p REDUCED_LABELLING
05692.p REDUCED_LABELLING_UNIQUE
05693.p REDUCED_LABELLING_0
05694.p REDUCED_LABELLING_1
05695.p REDUCED_LABELLING_SUC
05696.p COMPLETE_FACE_TOP
05697.p KUHN_INDUCTION
05698.p KSIMPLEX_0
05699.p REDUCE_LABELLING_0
05700.p KUHN_COMBINATORIAL
05701.p KUHN_LEMMA
05702.p BROUWER_CUBE
05704.p RETRACTION_SUBSET
05705.p RETRACT_OF_SUBSET
05706.p RETRACT_OF_TRANSLATION
05707.p RETRACT_OF_TRANSLATION_EQ
05708.p RETRACT_OF_INJECTIVE_LINEAR_IMAGE
05709.p RETRACT_OF_LINEAR_IMAGE_EQ
05710.p RETRACTION_REFL
05711.p RETRACT_OF_REFL
05712.p RETRACT_OF_IMP_SUBSET
05713.p RETRACTION_o
05714.p RETRACT_OF_TRANS
05715.p CLOSED_IN_RETRACT
05716.p RETRACT_OF_CONTRACTIBLE
05718.p ABSOLUTE_RETRACT_PATH_IMAGE_ARC
05719.p BORSUK_HOMOTOPY_EXTENSION
05720.p INVERTIBLE_FIXPOINT_PROPERTY
05721.p HOMEOMORPHIC_FIXPOINT_PROPERTY
05722.p RETRACT_FIXPOINT_PROPERTY
05723.p BROUWER_WEAK
05724.p BROUWER_BALL
05725.p BROUWER
05726.p NO_RETRACTION_CBALL
05727.p FRONTIER_SUBSET_RETRACTION
05730.p INTERVAL_BIJ_AFFINE
05731.p CONTINUOUS_INTERVAL_BIJ
05732.p CONTINUOUS_ON_INTERVAL_BIJ
05733.p IN_INTERVAL_INTERVAL_BIJ
05734.p INTERVAL_BIJ_BIJ
05735.p INFNORM_2
05736.p INFNORM_EQ_1_2
05737.p INFNORM_EQ_1_IMP
05738.p FASHODA_UNIT
05739.p FASHODA_UNIT_PATH
05740.p FASHODA
05741.p SEGMENT_VERTICAL
05742.p SEGMENT_HORIZONTAL
05745.p HOMEOMORPHIC_EMPTY_conjunct1
05746.p HOMEOMORPHIC_EMPTY_conjunct0
05750.p PATH_CONNECTED_ARC_COMPLEMENT
05751.p CONNECTED_ARC_COMPLEMENT
05752.p INSIDE_ARC_EMPTY
05758.p has_derivative_within
05759.p has_derivative_at
05760.p HAS_DERIVATIVE_WITHIN
05761.p HAS_DERIVATIVE_AT
05762.p HAS_DERIVATIVE_AT_WITHIN
05763.p HAS_DERIVATIVE_WITHIN_OPEN
05764.p HAS_DERIVATIVE_LINEAR
05765.p HAS_DERIVATIVE_ID
05766.p HAS_DERIVATIVE_CONST
05767.p HAS_DERIVATIVE_CMUL
05769.p HAS_DERIVATIVE_NEG
05770.p HAS_DERIVATIVE_NEG_EQ
05771.p HAS_DERIVATIVE_ADD
05772.p HAS_DERIVATIVE_SUB
05773.p HAS_DERIVATIVE_VSUM
05775.p HAS_DERIVATIVE_VMUL_COMPONENT
05776.p HAS_DERIVATIVE_VMUL_DROP
05777.p HAS_DERIVATIVE_LIFT_DOT
05778.p HAS_DERIVATIVE_TRANSFORM_WITHIN
05779.p HAS_DERIVATIVE_TRANSFORM_AT
05780.p HAS_DERIVATIVE_TRANSFORM_WITHIN_OPEN
05782.p DIFFERENTIABLE_AT_WITHIN
05783.p DIFFERENTIABLE_WITHIN_OPEN
05784.p DIFFERENTIABLE_AT_IMP_DIFFERENTIABLE_ON
05785.p DIFFERENTIABLE_ON_EQ_DIFFERENTIABLE_AT
05788.p FRECHET_DERIVATIVE_WORKS
05790.p JACOBIAN_WORKS
05791.p LIM_MUL_NORM_WITHIN
05792.p DIFFERENTIABLE_IMP_CONTINUOUS_WITHIN
05793.p DIFFERENTIABLE_IMP_CONTINUOUS_AT
05794.p DIFFERENTIABLE_IMP_CONTINUOUS_ON
05795.p HAS_DERIVATIVE_WITHIN_SUBSET
05796.p DIFFERENTIABLE_WITHIN_SUBSET
05797.p DIFFERENTIABLE_ON_SUBSET
05799.p HAS_DERIVATIVE_WITHIN_ALT
05800.p HAS_DERIVATIVE_AT_ALT
05801.p DIFF_CHAIN_WITHIN
05802.p DIFF_CHAIN_AT
05803.p DIFFERENTIABLE_CONST
05804.p DIFFERENTIABLE_ID
05806.p DIFFERENTIABLE_NEG
05807.p DIFFERENTIABLE_ADD
05808.p DIFFERENTIABLE_SUB
05809.p DIFFERENTIABLE_VSUM
05811.p DIFFERENTIABLE_CHAIN_AT
05812.p DIFFERENTIABLE_CHAIN_WITHIN
05819.p FRECHET_DERIVATIVE_UNIQUE_WITHIN
05820.p FRECHET_DERIVATIVE_UNIQUE_AT
05821.p HAS_FRECHET_DERIVATIVE_UNIQUE_AT
05823.p FRECHET_DERIVATIVE_UNIQUE_WITHIN_CLOSED_INTERVAL
05825.p FRECHET_DERIVATIVE_AT
05827.p DIFFERENTIAL_COMPONENT_POS_AT_MINIMUM
05828.p DIFFERENTIAL_COMPONENT_NEG_AT_MAXIMUM
05829.p DROP_DIFFERENTIAL_POS_AT_MINIMUM
05830.p DROP_DIFFERENTIAL_NEG_AT_MAXIMUM
05831.p DIFFERENTIAL_COMPONENT_ZERO_AT_MAXMIN
05833.p DIFFERENTIAL_ZERO_MAXMIN
05834.p ROLLE
05835.p MVT
05836.p MVT_SIMPLE
05837.p MVT_VERY_SIMPLE
05838.p MVT_GENERAL
05839.p DIFFERENTIABLE_BOUND
05840.p HAS_DERIVATIVE_ZERO_CONSTANT
05841.p HAS_DERIVATIVE_ZERO_UNIQUE
05842.p HAS_DERIVATIVE_ZERO_CONNECTED_CONSTANT
05843.p HAS_DERIVATIVE_ZERO_CONNECTED_UNIQUE
05844.p HAS_DERIVATIVE_INVERSE_BASIC
05845.p HAS_DERIVATIVE_INVERSE_BASIC_X
05848.p BROUWER_SURJECTIVE
05849.p BROUWER_SURJECTIVE_CBALL
05850.p SUSSMANN_OPEN_MAPPING
05851.p HAS_DERIVATIVE_INVERSE_STRONG
05852.p HAS_DERIVATIVE_INVERSE_STRONG_X
05854.p HAS_DERIVATIVE_LOCALLY_INJECTIVE
05855.p HAS_DERIVATIVE_SEQUENCE_LIPSCHITZ
05856.p HAS_DERIVATIVE_SEQUENCE
05857.p HAS_ANTIDERIVATIVE_SEQUENCE
05859.p HAS_DERIVATIVE_SERIES
05860.p HAS_DERIVATIVE_BILINEAR_WITHIN
05861.p HAS_DERIVATIVE_BILINEAR_AT
05862.p VECTOR_DERIVATIVE_WORKS
05863.p VECTOR_DERIVATIVE_UNIQUE_AT
05864.p HAS_VECTOR_DERIVATIVE_UNIQUE_AT
05865.p VECTOR_DERIVATIVE_UNIQUE_WITHIN_CLOSED_INTERVAL
05868.p HAS_VECTOR_DERIVATIVE_WITHIN_SUBSET
05869.p HAS_VECTOR_DERIVATIVE_CONST
05872.p HAS_VECTOR_DERIVATIVE_CMUL
05880.p HAS_VECTOR_DERIVATIVE_AT_WITHIN
05881.p HAS_VECTOR_DERIVATIVE_TRANSFORM_WITHIN
05886.p CONVEX_ON_DERIVATIVE_SECANT_IMP
05887.p CONVEX_ON_SECANT_DERIVATIVE_IMP
05888.p CONVEX_ON_DERIVATIVES_IMP
05889.p CONVEX_ON_DERIVATIVES
05890.p CONVEX_ON_DERIVATIVE_SECANT
05891.p CONVEX_ON_SECANT_DERIVATIVE
05893.p INTER_INTERIOR_UNIONS_INTERVALS
05894.p ITERATE_NONZERO_IMAGE_LEMMA
05895.p INTERVAL_UPPERBOUND
05896.p INTERVAL_LOWERBOUND
05897.p INTERVAL_UPPERBOUND_1
05898.p INTERVAL_LOWERBOUND_1
05899.p CONTENT_CLOSED_INTERVAL
05900.p CONTENT_1
05901.p CONTENT_UNIT
05903.p CONTENT_POS_LE
05904.p CONTENT_POS_LT
05906.p CONTENT_EQ_0_GEN
05907.p CONTENT_EQ_0
05908.p CONTENT_0_SUBSET_GEN
05909.p CONTENT_0_SUBSET
05910.p CONTENT_CLOSED_INTERVAL_CASES
05911.p CONTENT_EQ_0_INTERIOR
05912.p CONTENT_EQ_0_1
05913.p CONTENT_POS_LT_EQ
05914.p CONTENT_EMPTY
05915.p CONTENT_SUBSET
05916.p CONTENT_LT_NZ
05917.p INTERVAL_BOUNDS_NULL_1
05918.p INTERVAL_BOUNDS_EMPTY_1
05919.p CONTENT_PASTECART
05920.p GAUGE_BALL_DEPENDENT
05921.p GAUGE_BALL
05922.p GAUGE_TRIVIAL
05923.p GAUGE_INTER
05924.p GAUGE_INTERS
05925.p GAUGE_EXISTENCE_LEMMA
05926.p DIVISION_OF
05927.p DIVISION_OF_FINITE
05928.p DIVISION_OF_SELF
05929.p DIVISION_OF_TRIVIAL
05930.p EMPTY_DIVISION_OF
05932.p ELEMENTARY_EMPTY
05933.p ELEMENTARY_INTERVAL
05935.p FORALL_IN_DIVISION
05936.p DIVISION_OF_SUBSET
05937.p DIVISION_OF_UNION_SELF
05938.p DIVISION_OF_CONTENT_0
05939.p DIVISION_INTER
05940.p DIVISION_INTER_1
05941.p ELEMENTARY_INTER
05942.p ELEMENTARY_INTERS
05943.p DIVISION_DISJOINT_UNION
05944.p PARTIAL_DIVISION_EXTEND_1
05945.p PARTIAL_DIVISION_EXTEND_INTERVAL
05946.p ELEMENTARY_BOUNDED
05947.p ELEMENTARY_SUBSET_INTERVAL
05948.p DIVISION_UNION_INTERVALS_EXISTS
05950.p ELEMENTARY_UNION_INTERVAL_STRONG
05951.p ELEMENTARY_UNION_INTERVAL
05952.p ELEMENTARY_UNIONS_INTERVALS
05954.p PARTIAL_DIVISION_EXTEND
05956.p DIVISION_OF_NONTRIVIAL
05957.p DIVISION_OF_TRANSLATION
05959.p TAGGED_DIVISION_OF_FINITE
05960.p TAGGED_DIVISION_OF
05961.p DIVISION_OF_TAGGED_DIVISION
05962.p PARTIAL_DIVISION_OF_TAGGED_DIVISION
05963.p TAGGED_PARTIAL_DIVISION_SUBSET
05964.p VSUM_OVER_TAGGED_PARTIAL_DIVISION_LEMMA
05965.p VSUM_OVER_TAGGED_DIVISION_LEMMA
05967.p SUM_OVER_TAGGED_DIVISION_LEMMA
05968.p TAG_IN_INTERVAL
05969.p TAGGED_DIVISION_OF_EMPTY
05970.p TAGGED_PARTIAL_DIVISION_OF_TRIVIAL
05972.p TAGGED_DIVISION_OF_SELF
05973.p TAGGED_DIVISION_UNION
05974.p TAGGED_DIVISION_UNIONS
05975.p TAGGED_PARTIAL_DIVISION_OF_UNION_SELF
05977.p TAGGED_DIVISION_OF_ALT
05979.p TAGGED_PARTIAL_DIVISION_OF_SUBSET
05981.p FINE_INTER
05982.p FINE_INTERS
05983.p FINE_UNION
05984.p FINE_UNIONS
05985.p FINE_SUBSET
05986.p has_integral
05987.p has_integral_alt
05988.p INTEGRABLE_INTEGRAL
05989.p HAS_INTEGRAL_INTEGRABLE
05990.p HAS_INTEGRAL_INTEGRAL
05991.p VSUM_CONTENT_NULL
05994.p INTERVAL_BISECTION_STEP
05995.p INTERVAL_BISECTION
05996.p FINE_DIVISION_EXISTS
05997.p HAS_INTEGRAL_UNIQUE
05998.p INTEGRAL_UNIQUE
05999.p HAS_INTEGRAL_INTEGRABLE_INTEGRAL
06000.p INTEGRAL_EQ_HAS_INTEGRAL
06001.p HAS_INTEGRAL_IS_0
06002.p HAS_INTEGRAL_0
06003.p HAS_INTEGRAL_0_EQ
06004.p HAS_INTEGRAL_LINEAR
06005.p HAS_INTEGRAL_CMUL
06006.p HAS_INTEGRAL_NEG
06007.p HAS_INTEGRAL_ADD
06008.p HAS_INTEGRAL_SUB
06009.p INTEGRAL_0
06010.p INTEGRAL_ADD
06011.p INTEGRAL_CMUL
06012.p INTEGRAL_NEG
06013.p INTEGRAL_SUB
06014.p INTEGRABLE_0
06015.p INTEGRABLE_ADD
06016.p INTEGRABLE_CMUL
06017.p INTEGRABLE_NEG
06018.p INTEGRABLE_SUB
06019.p INTEGRABLE_LINEAR
06020.p INTEGRAL_LINEAR
06021.p HAS_INTEGRAL_VSUM
06022.p INTEGRAL_VSUM
06023.p INTEGRABLE_VSUM
06024.p HAS_INTEGRAL_EQ
06025.p INTEGRABLE_EQ
06027.p HAS_INTEGRAL_NULL
06028.p HAS_INTEGRAL_NULL_EQ
06029.p INTEGRAL_NULL
06030.p INTEGRABLE_ON_NULL
06031.p HAS_INTEGRAL_EMPTY
06032.p HAS_INTEGRAL_EMPTY_EQ
06033.p INTEGRABLE_ON_EMPTY
06034.p INTEGRAL_EMPTY
06035.p HAS_INTEGRAL_REFL
06038.p INTEGRABLE_CAUCHY
06039.p INTERVAL_SPLIT
06040.p CONTENT_SPLIT
06041.p DIVISION_SPLIT_RIGHT_INJ
06042.p DIVISION_SPLIT_LEFT_INJ
06043.p TAGGED_DIVISION_SPLIT_LEFT_INJ
06044.p TAGGED_DIVISION_SPLIT_RIGHT_INJ
06045.p DIVISION_SPLIT
06046.p HAS_INTEGRAL_SPLIT
06047.p TAGGED_DIVISION_UNION_INTERVAL
06048.p HAS_INTEGRAL_SEPARATE_SIDES
06049.p INTEGRABLE_SPLIT
06050.p OPERATIVE_TRIVIAL
06051.p PROPERTY_EMPTY_INTERVAL
06052.p OPERATIVE_EMPTY
06053.p FORALL_OPTION
06055.p NEUTRAL_LIFTED
06056.p MONOIDAL_LIFTED
06058.p OPERATIVE_CONTENT
06059.p OPERATIVE_INTEGRAL
06060.p DIVISION_POINTS_FINITE
06062.p DIVISION_POINTS_PSUBSET
06063.p OPERATIVE_DIVISION
06064.p OPERATIVE_TAGGED_DIVISION
06065.p ADDITIVE_CONTENT_DIVISION
06066.p ADDITIVE_CONTENT_TAGGED_DIVISION
06067.p SUBADDITIVE_CONTENT_DIVISION
06068.p HAS_INTEGRAL_CONST
06069.p INTEGRABLE_CONST
06070.p INTEGRAL_CONST
06071.p INTEGRAL_PASTECART_CONST
06072.p DSUM_BOUND
06073.p RSUM_BOUND
06074.p RSUM_DIFF_BOUND
06075.p HAS_INTEGRAL_BOUND
06076.p RSUM_COMPONENT_LE
06077.p HAS_INTEGRAL_COMPONENT_LE
06078.p INTEGRAL_COMPONENT_LE
06079.p HAS_INTEGRAL_DROP_LE
06080.p INTEGRAL_DROP_LE
06081.p HAS_INTEGRAL_COMPONENT_POS
06083.p HAS_INTEGRAL_DROP_POS
06084.p INTEGRAL_DROP_POS
06085.p HAS_INTEGRAL_COMPONENT_NEG
06087.p HAS_INTEGRAL_COMPONENT_LBOUND
06088.p HAS_INTEGRAL_COMPONENT_UBOUND
06091.p INTEGRABLE_UNIFORM_LIMIT
06092.p DROP_INDICATOR
06093.p DROP_INDICATOR_POS_LE
06094.p DROP_INDICATOR_LE_1
06096.p VSUM_NONZERO_IMAGE_LEMMA
06097.p INTERVAL_DOUBLESPLIT
06098.p DIVISION_DOUBLESPLIT
06099.p CONTENT_DOUBLESPLIT
06100.p NEGLIGIBLE_STANDARD_HYPERPLANE
06101.p TAGGED_DIVISION_FINER
06102.p HAS_INTEGRAL_NEGLIGIBLE
06103.p HAS_INTEGRAL_SPIKE
06104.p HAS_INTEGRAL_SPIKE_EQ
06105.p INTEGRABLE_SPIKE
06106.p INTEGRAL_SPIKE
06107.p NEGLIGIBLE_SUBSET
06108.p NEGLIGIBLE_DIFF
06109.p NEGLIGIBLE_INTER
06110.p NEGLIGIBLE_UNION
06111.p NEGLIGIBLE_UNION_EQ
06112.p NEGLIGIBLE_SING
06113.p NEGLIGIBLE_INSERT
06114.p NEGLIGIBLE_EMPTY
06115.p NEGLIGIBLE_FINITE
06116.p NEGLIGIBLE_UNIONS
06117.p NEGLIGIBLE
06118.p HAS_INTEGRAL_SPIKE_FINITE
06121.p INTEGRAL_EQ
06122.p INTEGRAL_EQ_0
06123.p NEGLIGIBLE_FRONTIER_INTERVAL
06124.p HAS_INTEGRAL_SPIKE_INTERIOR
06126.p INTEGRABLE_SPIKE_INTERIOR
06127.p NEUTRAL_AND
06128.p MONOIDAL_AND
06129.p ITERATE_AND
06130.p OPERATIVE_DIVISION_AND
06131.p OPERATIVE_APPROXIMABLE
06132.p APPROXIMABLE_ON_DIVISION
06133.p INTEGRABLE_CONTINUOUS
06134.p OPERATIVE_1_LT
06135.p OPERATIVE_1_LE
06136.p ADDITIVE_TAGGED_DIVISION_1
06137.p HAS_INTEGRAL_FACTOR_CONTENT
06138.p FUNDAMENTAL_THEOREM_OF_CALCULUS
06140.p OPERATIVE_INTEGRABLE
06141.p INTEGRABLE_SUBINTERVAL
06142.p HAS_INTEGRAL_COMBINE
06143.p INTEGRAL_COMBINE
06145.p INTEGRABLE_ON_LITTLE_SUBINTERVALS
06146.p INTEGRAL_HAS_VECTOR_DERIVATIVE
06147.p ANTIDERIVATIVE_CONTINUOUS
06149.p HAS_INTEGRAL_TWIDDLE
06150.p INTERVAL_IMAGE_AFFINITY_INTERVAL
06151.p CONTENT_IMAGE_AFFINITY_INTERVAL
06152.p HAS_INTEGRAL_AFFINITY
06154.p CONTENT_IMAGE_STRETCH_INTERVAL
06155.p HAS_INTEGRAL_STRETCH
06157.p HAS_INTEGRAL_REFLECT_LEMMA
06158.p HAS_INTEGRAL_REFLECT
06159.p INTEGRABLE_REFLECT
06160.p INTEGRAL_REFLECT
06161.p FUNDAMENTAL_THEOREM_OF_CALCULUS_INTERIOR
06162.p FUNDAMENTAL_THEOREM_OF_CALCULUS_INTERIOR_STRONG
06163.p FUNDAMENTAL_THEOREM_OF_CALCULUS_STRONG
06164.p HAS_DERIVATIVE_ZERO_UNIQUE_STRONG_INTERVAL
06165.p HAS_DERIVATIVE_ZERO_UNIQUE_STRONG_CONVEX
06167.p HAS_INTEGRAL_RESTRICT_OPEN_SUBINTERVAL
06168.p HAS_INTEGRAL_RESTRICT_CLOSED_SUBINTERVAL
06169.p HAS_INTEGRAL_RESTRICT_CLOSED_SUBINTERVALS_EQ
06170.p HAS_INTEGRAL
06171.p HAS_INTEGRAL_RESTRICT
06174.p HAS_INTEGRAL_RESTRICT_UNIV
06175.p INTEGRAL_RESTRICT_UNIV
06176.p INTEGRABLE_RESTRICT_UNIV
06177.p HAS_INTEGRAL_RESTRICT_INTER
06178.p INTEGRAL_RESTRICT_INTER
06179.p INTEGRABLE_RESTRICT_INTER
06180.p HAS_INTEGRAL_ON_SUPERSET
06182.p NEGLIGIBLE_ON_INTERVALS
06183.p HAS_INTEGRAL_SPIKE_SET_EQ
06185.p INTEGRABLE_SPIKE_SET
06187.p INTEGRAL_SPIKE_SET
06188.p HAS_INTEGRAL_INTERIOR
06190.p HAS_INTEGRAL_SUBSET_COMPONENT_LE
06191.p INTEGRAL_SUBSET_COMPONENT_LE
06192.p HAS_INTEGRAL_SUBSET_DROP_LE
06193.p INTEGRAL_SUBSET_DROP_LE
06194.p HAS_INTEGRAL_ALT
06195.p INTEGRABLE_ALT
06196.p INTEGRABLE_ALT_SUBSET
06197.p INTEGRABLE_ON_SUBINTERVAL
06198.p INTEGRAL_SPLIT
06199.p INTEGRAL_SPLIT_SIGNED
06200.p POWERSET_CLAUSES_conjunct1
06201.p INTEGRAL_INTERVALS_INCLUSION_EXCLUSION
06203.p INTEGRAL_INTERVALS_INCLUSION_EXCLUSION_RIGHT
06204.p IN_INTERVAL_REFLECT_conjunct1
06205.p IN_INTERVAL_REFLECT_conjunct0
06207.p INTEGRABLE_STRADDLE_INTERVAL
06208.p INTEGRABLE_STRADDLE
06209.p HAS_INTEGRAL_STRADDLE_NULL
06210.p HAS_INTEGRAL_UNION
06212.p HAS_INTEGRAL_UNIONS
06213.p HAS_INTEGRAL_DIFF
06214.p INTEGRAL_DIFF
06215.p HAS_INTEGRAL_COMBINE_DIVISION
06216.p INTEGRAL_COMBINE_DIVISION_BOTTOMUP
06217.p HAS_INTEGRAL_COMBINE_DIVISION_TOPDOWN
06218.p INTEGRAL_COMBINE_DIVISION_TOPDOWN
06219.p INTEGRABLE_COMBINE_DIVISION
06220.p INTEGRABLE_ON_SUBDIVISION
06221.p HAS_INTEGRAL_COMBINE_TAGGED_DIVISION
06224.p INTEGRAL_COMBINE_TAGGED_DIVISION_TOPDOWN
06225.p HENSTOCK_LEMMA_PART1
06226.p HENSTOCK_LEMMA_PART2
06227.p HENSTOCK_LEMMA
06228.p MONOTONE_CONVERGENCE_INTERVAL
06229.p MONOTONE_CONVERGENCE_INCREASING
06230.p MONOTONE_CONVERGENCE_DECREASING
06231.p INTEGRAL_NORM_BOUND_INTEGRAL
06232.p INTEGRAL_NORM_BOUND_INTEGRAL_COMPONENT
06234.p INTEGRABLE_ON_ALL_INTERVALS_INTEGRABLE_BOUND
06235.p HAS_BOUNDED_SETVARIATION_ON
06236.p HAS_BOUNDED_SETVARIATION_ON_ELEMENTARY
06237.p HAS_BOUNDED_SETVARIATION_ON_INTERVAL
06238.p HAS_BOUNDED_SETVARIATION_ON_UNIV
06239.p HAS_BOUNDED_SETVARIATION_ON_SUBSET
06240.p HAS_BOUNDED_SETVARIATION_ON_IMP_BOUNDED_ON_SUBINTERVALS
06242.p HAS_BOUNDED_SETVARIATION_ON_COMPOSE_LINEAR
06243.p HAS_BOUNDED_SETVARIATION_ON_CMUL
06244.p HAS_BOUNDED_SETVARIATION_ON_NEG
06245.p HAS_BOUNDED_SETVARIATION_ON_ADD
06246.p HAS_BOUNDED_SETVARIATION_ON_SUB
06247.p HAS_BOUNDED_SETVARIATION_ON_NULL
06248.p SET_VARIATION_ELEMENTARY_LEMMA
06249.p SET_VARIATION_ON_ELEMENTARY
06250.p SET_VARIATION_ON_INTERVAL
06251.p HAS_BOUNDED_SETVARIATION_WORKS
06252.p HAS_BOUNDED_SETVARIATION_WORKS_ON_ELEMENTARY
06253.p HAS_BOUNDED_SETVARIATION_WORKS_ON_INTERVAL
06254.p SET_VARIATION_UBOUND
06255.p SET_VARIATION_UBOUND_ON_INTERVAL
06256.p SET_VARIATION_LBOUND
06258.p SET_VARIATION
06259.p SET_VARIATION_WORKS_ON_INTERVAL
06260.p SET_VARIATION_POS_LE
06261.p SET_VARIATION_GE_FUNCTION
06262.p SET_VARIATION_ON_NULL
06263.p SET_VARIATION_TRIANGLE
06264.p OPERATIVE_LIFTED_SETVARIATION
06265.p HAS_BOUNDED_SETVARIATION_ON_DIVISION
06266.p SET_VARIATION_ON_DIVISION
06267.p SET_VARIATION_MONOTONE
06269.p ABSOLUTELY_INTEGRABLE_LE
06270.p ABSOLUTELY_INTEGRABLE_0
06271.p ABSOLUTELY_INTEGRABLE_CMUL
06272.p ABSOLUTELY_INTEGRABLE_NEG
06273.p ABSOLUTELY_INTEGRABLE_NORM
06275.p ABSOLUTELY_INTEGRABLE_ON_SUBINTERVAL
06276.p ABSOLUTELY_INTEGRABLE_BOUNDED_SETVARIATION
06277.p lemma
06278.p BOUNDED_SETVARIATION_ABSOLUTELY_INTEGRABLE_INTERVAL
06279.p BOUNDED_SETVARIATION_ABSOLUTELY_INTEGRABLE
06280.p ABSOLUTELY_INTEGRABLE_RESTRICT_UNIV
06281.p ABSOLUTELY_INTEGRABLE_CONST
06282.p ABSOLUTELY_INTEGRABLE_ADD
06283.p ABSOLUTELY_INTEGRABLE_SUB
06284.p ABSOLUTELY_INTEGRABLE_LINEAR
06285.p ABSOLUTELY_INTEGRABLE_VSUM
06286.p ABSOLUTELY_INTEGRABLE_ABS
06287.p ABSOLUTELY_INTEGRABLE_MAX
06288.p ABSOLUTELY_INTEGRABLE_MAX_1
06289.p ABSOLUTELY_INTEGRABLE_MIN
06290.p ABSOLUTELY_INTEGRABLE_MIN_1
06291.p ABSOLUTELY_INTEGRABLE_IMP_INTEGRABLE
06292.p ABSOLUTELY_INTEGRABLE_ABS_EQ
06293.p NONNEGATIVE_ABSOLUTELY_INTEGRABLE
06294.p ABSOLUTELY_INTEGRABLE_INTEGRABLE_BOUND
06295.p ABSOLUTELY_INTEGRABLE_ABSOLUTELY_INTEGRABLE_BOUND
06296.p ABSOLUTELY_INTEGRABLE_INF_1
06297.p ABSOLUTELY_INTEGRABLE_SUP_1
06298.p ABSOLUTELY_INTEGRABLE_CONTINUOUS
06299.p INTEGRABLE_MIN_CONST_1
06300.p ABSOLUTELY_INTEGRABLE_ABSOLUTELY_INTEGRABLE_COMPONENT_UBOUND
06301.p ABSOLUTELY_INTEGRABLE_ABSOLUTELY_INTEGRABLE_COMPONENT_LBOUND
06304.p HAS_INTEGRAL_COMPONENTWISE
06305.p INTEGRABLE_COMPONENTWISE
06306.p LIFT_INTEGRAL_COMPONENT
06308.p ABSOLUTELY_INTEGRABLE_COMPONENTWISE
06309.p DOMINATED_CONVERGENCE
06310.p DOMINATED_CONVERGENCE_INTEGRABLE
06312.p NEGLIGIBLE_ON_UNIV
06313.p NEGLIGIBLE_COUNTABLE_UNIONS
06314.p HAS_INTEGRAL_NEGLIGIBLE_EQ
06315.p BEPPO_LEVI_INCREASING
06316.p BEPPO_LEVI_DECREASING
06317.p BEPPO_LEVI_MONOTONE_CONVERGENCE_INCREASING
06318.p BEPPO_LEVI_MONOTONE_CONVERGENCE_DECREASING
06319.p EQUIINTEGRABLE_ON_SING
06320.p EQUIINTEGRABLE_ON_NULL
06321.p EQUIINTEGRABLE_ON_SPLIT
06323.p EQUIINTEGRABLE_LIMIT
06324.p EQUIINTEGRABLE_SUBSET
06325.p EQUIINTEGRABLE_UNION
06327.p EQUIINTEGRABLE_CMUL
06328.p EQUIINTEGRABLE_ADD
06329.p EQUIINTEGRABLE_NEG
06330.p EQUIINTEGRABLE_SUB
06331.p EQUIINTEGRABLE_SUM
06333.p EQUIINTEGRABLE_REFLECT
06334.p SUM_CONTENT_AREA_OVER_THIN_DIVISION
06335.p BOUNDED_EQUIINTEGRAL_OVER_THIN_TAGGED_PARTIAL_DIVISION
06336.p EQUIINTEGRABLE_HALFSPACE_RESTRICTIONS_LE
06337.p EQUIINTEGRABLE_HALFSPACE_RESTRICTIONS_GE
06338.p EQUIINTEGRABLE_HALFSPACE_RESTRICTIONS_LT
06339.p EQUIINTEGRABLE_HALFSPACE_RESTRICTIONS_GT
06341.p EQUIINTEGRABLE_CLOSED_INTERVAL_RESTRICTIONS
06342.p INDEFINITE_INTEGRAL_CONTINUOUS
06343.p INDEFINITE_INTEGRAL_CONTINUOUS_RIGHT
06344.p INDEFINITE_INTEGRAL_CONTINUOUS_LEFT
06345.p INDEFINITE_INTEGRAL_UNIFORMLY_CONTINUOUS
06347.p SECOND_MEAN_VALUE_THEOREM_FULL
06348.p SECOND_MEAN_VALUE_THEOREM
06349.p SECOND_MEAN_VALUE_THEOREM_GEN_FULL
06351.p SECOND_MEAN_VALUE_THEOREM_BONNET_FULL
06353.p INTEGRABLE_INCREASING_PRODUCT
06354.p INTEGRABLE_INCREASING_PRODUCT_UNIV
06355.p INTEGRABLE_INCREASING
06356.p INTEGRABLE_INCREASING_1
06357.p INTEGRABLE_DECREASING_PRODUCT
06358.p INTEGRABLE_DECREASING_PRODUCT_UNIV
06359.p INTEGRABLE_DECREASING
06360.p INTEGRABLE_DECREASING_1
06361.p HAS_BOUNDED_VARIATION_ON_SUBSET
06362.p HAS_BOUNDED_VARIATION_ON_CMUL
06363.p HAS_BOUNDED_VARIATION_ON_NEG
06364.p HAS_BOUNDED_VARIATION_ON_ADD
06365.p HAS_BOUNDED_VARIATION_ON_SUB
06367.p HAS_BOUNDED_VARIATION_ON_NULL
06368.p HAS_BOUNDED_VARIATION_ON_EMPTY
06369.p HAS_BOUNDED_VARIATION_ON_NORM
06370.p HAS_BOUNDED_VARIATION_ON_MAX
06371.p HAS_BOUNDED_VARIATION_ON_MIN
06372.p HAS_BOUNDED_VARIATION_ON_IMP_BOUNDED_ON_SUBINTERVALS
06373.p HAS_BOUNDED_VARIATION_ON_IMP_BOUNDED_ON_INTERVAL
06374.p HAS_BOUNDED_VARIATION_ON_MUL
06375.p VECTOR_VARIATION_POS_LE
06376.p VECTOR_VARIATION_GE_NORM_FUNCTION
06377.p VECTOR_VARIATION_GE_DROP_FUNCTION
06378.p VECTOR_VARIATION_MONOTONE
06379.p VECTOR_VARIATION_NEG
06380.p VECTOR_VARIATION_TRIANGLE
06381.p OPERATIVE_FUNCTION_ENDPOINT_DIFF
06382.p OPERATIVE_REAL_FUNCTION_ENDPOINT_DIFF
06383.p OPERATIVE_LIFTED_VECTOR_VARIATION
06385.p VECTOR_VARIATION_ON_DIVISION
06386.p HAS_BOUNDED_VARIATION_ON_COMBINE
06387.p VECTOR_VARIATION_COMBINE
06388.p VECTOR_VARIATION_MINUS_FUNCTION_MONOTONE
06389.p INCREASING_BOUNDED_VARIATION
06390.p INCREASING_VECTOR_VARIATION
06392.p HAS_BOUNDED_VARIATION_DARBOUX
06393.p HAS_BOUNDED_VARIATION_DARBOUX_STRICT
06394.p INCREASING_LEFT_LIMIT_1
06395.p DECREASING_LEFT_LIMIT_1
06396.p INCREASING_RIGHT_LIMIT_1
06397.p DECREASING_RIGHT_LIMIT_1
06398.p HAS_BOUNDED_VECTOR_VARIATION_LEFT_LIMIT
06399.p HAS_BOUNDED_VECTOR_VARIATION_RIGHT_LIMIT
06400.p VECTOR_VARIATION_CONTINUOUS_LEFT
06401.p VECTOR_VARIATION_CONTINUOUS_RIGHT
06402.p VECTOR_VARIATION_CONTINUOUS
06404.p HAS_BOUNDED_VARIATION_COUNTABLE_DISCONTINUITIES
06405.p INTEGRAL_PASTECART_CONTINUOUS
06407.p HAS_MEASURE_MEASURE
06408.p HAS_MEASURE_UNIQUE
06409.p MEASURE_UNIQUE
06410.p HAS_MEASURE_MEASURABLE_MEASURE
06412.p HAS_MEASURE
06413.p MEASURABLE
06414.p MEASURABLE_INTEGRABLE
06415.p MEASURE_INTEGRAL
06416.p MEASURE_INTEGRAL_UNIV
06418.p INTEGRAL_MEASURE_UNIV
06419.p HAS_MEASURE_INTERVAL_conjunct0
06420.p HAS_MEASURE_INTERVAL_conjunct1
06421.p MEASURE_INTERVAL_conjunct1
06422.p MEASURE_INTERVAL_conjunct0
06423.p MEASURE_INTERVAL_1_conjunct1
06424.p MEASURE_INTERVAL_1_conjunct0
06426.p MEASURE_INTERVAL_2_conjunct1
06427.p MEASURE_INTERVAL_2_conjunct0
06429.p MEASURE_INTERVAL_3_conjunct1
06430.p MEASURE_INTERVAL_3_conjunct0
06432.p MEASURABLE_INTER
06433.p MEASURABLE_UNION
06434.p HAS_MEASURE_DISJOINT_UNION
06435.p MEASURE_DISJOINT_UNION
06436.p MEASURE_DISJOINT_UNION_EQ
06437.p HAS_MEASURE_POS_LE
06438.p MEASURE_POS_LE
06439.p HAS_MEASURE_SUBSET
06440.p MEASURE_SUBSET
06441.p HAS_MEASURE_0
06442.p MEASURE_EQ_0
06443.p HAS_MEASURE_EMPTY
06444.p MEASURE_EMPTY
06445.p MEASURABLE_EMPTY
06446.p MEASURABLE_MEASURE_EQ_0
06447.p MEASURABLE_MEASURE_POS_LT
06448.p MEASURABLE_UNIONS
06449.p HAS_MEASURE_DIFF_SUBSET
06450.p MEASURABLE_DIFF
06451.p MEASURE_DIFF_SUBSET
06452.p HAS_MEASURE_UNION_NEGLIGIBLE
06453.p HAS_MEASURE_DIFF_NEGLIGIBLE
06454.p HAS_MEASURE_UNION_NEGLIGIBLE_EQ
06455.p HAS_MEASURE_DIFF_NEGLIGIBLE_EQ
06456.p HAS_MEASURE_ALMOST
06459.p HAS_MEASURE_NEGLIGIBLE_UNION
06460.p MEASURE_NEGLIGIBLE_UNION
06461.p MEASURE_NEGLIGIBLE_UNION_EQ
06462.p HAS_MEASURE_NEGLIGIBLE_SYMDIFF
06463.p MEASURABLE_NEGLIGIBLE_SYMDIFF
06464.p MEASURABLE_NEGLIGIBLE_SYMDIFF_EQ
06465.p MEASURE_NEGLIGIBLE_SYMDIFF
06466.p HAS_MEASURE_NEGLIGIBLE_UNIONS
06467.p MEASURE_NEGLIGIBLE_UNIONS
06468.p HAS_MEASURE_DISJOINT_UNIONS
06470.p HAS_MEASURE_NEGLIGIBLE_UNIONS_IMAGE
06471.p MEASURE_NEGLIGIBLE_UNIONS_IMAGE
06472.p HAS_MEASURE_DISJOINT_UNIONS_IMAGE
06473.p MEASURE_DISJOINT_UNIONS_IMAGE
06474.p HAS_MEASURE_NEGLIGIBLE_UNIONS_IMAGE_STRONG
06475.p MEASURE_NEGLIGIBLE_UNIONS_IMAGE_STRONG
06476.p HAS_MEASURE_DISJOINT_UNIONS_IMAGE_STRONG
06478.p MEASURE_UNION
06479.p MEASURE_UNION_LE
06480.p MEASURE_UNIONS_LE
06481.p MEASURE_UNIONS_LE_IMAGE
06482.p MEASURABLE_INNER_OUTER
06483.p HAS_MEASURE_INNER_OUTER
06484.p HAS_MEASURE_INNER_OUTER_LE
06485.p NEGLIGIBLE_OUTER
06486.p NEGLIGIBLE_OUTER_LE
06487.p HAS_MEASURE_LIMIT
06488.p MEASURE_LIMIT
06489.p INTEGRABLE_ON_CONST
06490.p NEGLIGIBLE_INTERVAL_conjunct1
06491.p NEGLIGIBLE_INTERVAL_conjunct0
06492.p OPEN_NOT_NEGLIGIBLE
06493.p HAS_MEASURE_AFFINITY
06494.p STRETCH_GALOIS
06495.p HAS_MEASURE_STRETCH
06496.p HAS_MEASURE_TRANSLATION
06498.p HAS_MEASURE_TRANSLATION_EQ
06499.p MEASURE_TRANSLATION
06500.p NEGLIGIBLE_TRANSLATION_REV
06501.p NEGLIGIBLE_TRANSLATION_EQ
06502.p MEASURABLE_TRANSLATION_EQ
06503.p MEASURABLE_TRANSLATION
06504.p HAS_MEASURE_SCALING
06506.p MEASURABLE_SCALING
06508.p MEASURE_SCALING
06509.p HAS_MEASURE_NESTED_UNIONS
06510.p MEASURABLE_NESTED_UNIONS
06511.p HAS_MEASURE_COUNTABLE_NEGLIGIBLE_UNIONS
06512.p NEGLIGIBLE_COUNTABLE_UNIONS_GEN
06513.p MEASURABLE_INTERVAL_conjunct1
06514.p MEASURABLE_INTERVAL_conjunct0
06515.p HAS_MEASURE_COUNTABLE_NEGLIGIBLE_UNIONS_BOUNDED
06516.p MEASURABLE_COUNTABLE_UNIONS_BOUNDED
06517.p MEASURE_COUNTABLE_UNIONS_LE_STRONG
06518.p MEASURE_COUNTABLE_UNIONS_LE
06519.p MEASURABLE_COUNTABLE_UNIONS_STRONG
06520.p MEASURABLE_COUNTABLE_UNIONS
06521.p MEASURE_COUNTABLE_UNIONS_LE_STRONG_GEN
06522.p MEASURE_COUNTABLE_UNIONS_LE_GEN
06523.p MEASURABLE_COUNTABLE_INTERS
06524.p NEGLIGIBLE_COUNTABLE
06525.p MEASURE_COUNTABLE_UNIONS_APPROACHABLE
06527.p MEASURABLE_COMPACT
06528.p MEASURABLE_OPEN
06529.p MEASURE_OPEN_POS_LT
06530.p MEASURABLE_CLOSURE
06531.p MEASURABLE_INTERIOR
06533.p MEASURE_FRONTIER
06535.p MEASURE_INTERIOR
06536.p MEASURABLE_JORDAN
06537.p HAS_MEASURE_ELEMENTARY
06538.p MEASURABLE_ELEMENTARY
06539.p MEASURE_ELEMENTARY
06540.p MEASURABLE_INTER_INTERVAL
06542.p STARLIKE_NEGLIGIBLE_BOUNDED_MEASURABLE
06543.p STARLIKE_NEGLIGIBLE_LEMMA
06544.p STARLIKE_NEGLIGIBLE
06545.p STARLIKE_NEGLIGIBLE_STRONG
06546.p NEGLIGIBLE_HYPERPLANE
06547.p NEGLIGIBLE_LOWDIM
06548.p NEGLIGIBLE_AFFINE_HULL
06551.p NEGLIGIBLE_AFFINE_HULL_3
06552.p NEGLIGIBLE_CONVEX_HULL
06555.p NEGLIGIBLE_CONVEX_HULL_3
06556.p NEGLIGIBLE_CONVEX_FRONTIER
06557.p MEASURABLE_CONVEX
06558.p NEGLIGIBLE_SPHERE
06559.p MEASURABLE_BALL
06560.p MEASURABLE_CBALL
06561.p MEASURE_BALL_POS
06562.p MEASURE_CBALL_POS
06563.p HAS_INTEGRAL_OPEN_INTERVAL
06566.p NEGLIGIBLE_LINEAR_SINGULAR_IMAGE
06567.p COVERING_LEMMA
06568.p Hypermap.LT_PLUS
06569.p COUNTABLE_ELEMENTARY_DIVISION
06570.p EXPAND_CLOSED_OPEN_INTERVAL
06571.p MEASURABLE_OUTER_INTERVALS_BOUNDED
06572.p MEASURABLE_OUTER_CLOSED_INTERVALS
06573.p MEASURABLE_OUTER_OPEN_INTERVALS
06574.p MEASURABLE_OUTER_OPEN
06575.p MEASURABLE_INNER_COMPACT
06577.p MEASURABLE_LINEAR_IMAGE_INTERVAL
06578.p HAS_MEASURE_LINEAR_SUFFICIENT
06579.p INDUCT_MATRIX_ROW_OPERATIONS
06580.p INDUCT_MATRIX_ELEMENTARY
06581.p INDUCT_MATRIX_ELEMENTARY_ALT
06582.p INDUCT_LINEAR_ELEMENTARY
06583.p LAMBDA_SWAP_GALOIS
06584.p LAMBDA_ADD_GALOIS
06585.p HAS_MEASURE_SHEAR_INTERVAL
06586.p HAS_MEASURE_LINEAR_IMAGE
06587.p MEASURABLE_LINEAR_IMAGE
06589.p HAS_MEASURE_LINEAR_IMAGE_ALT
06590.p HAS_MEASURE_LINEAR_IMAGE_SAME
06592.p MEASURABLE_LINEAR_IMAGE_EQ
06593.p NEGLIGIBLE_LINEAR_IMAGE
06594.p NEGLIGIBLE_LINEAR_IMAGE_EQ
06595.p HAS_MEASURE_ORTHOGONAL_IMAGE
06596.p HAS_MEASURE_ORTHOGONAL_IMAGE_EQ
06597.p MEASURE_ORTHOGONAL_IMAGE_EQ
06598.p CONGRUENT_IMAGE_STD_SIMPLEX
06599.p HAS_MEASURE_IMAGE_STD_SIMPLEX
06600.p HAS_MEASURE_STD_SIMPLEX
06601.p HAS_MEASURE_SIMPLEX_0
06602.p HAS_MEASURE_SIMPLEX
06603.p MEASURABLE_CONVEX_HULL
06606.p HAS_MEASURE_TRIANGLE
06609.p HAS_MEASURE_TETRAHEDRON
06611.p MEASURE_TETRAHEDRON
06612.p STEINHAUS
06613.p MEASURABLE_NONNEGLIGIBLE_IMP_LARGE
06615.p AUSTIN_LEMMA
06616.p INTEGRABLE_CCONTINUOUS_EXPLICIT
06617.p INTEGRABLE_CCONTINUOUS_EXPLICIT_SYMMETRIC
06618.p HAS_VECTOR_DERIVATIVE_INDEFINITE_INTEGRAL
06619.p ABSOLUTELY_INTEGRABLE_LEBESGUE_POINTS
06620.p MEASURABLE_ON_UNIV
06621.p MEASURABLE_BOUNDED_BY_INTEGRABLE_IMP_INTEGRABLE
06622.p MEASURABLE_BOUNDED_BY_INTEGRABLE_IMP_ABSOLUTELY_INTEGRABLE
06624.p INTEGRABLE_SUBINTERVALS_IMP_MEASURABLE
06625.p INTEGRABLE_IMP_MEASURABLE
06626.p ABSOLUTELY_INTEGRABLE_MEASURABLE
06627.p MEASURABLE_ON_COMPOSE_CONTINUOUS
06628.p MEASURABLE_ON_COMPOSE_CONTINUOUS_0
06629.p MEASURABLE_ON_COMPOSE_CONTINUOUS_OPEN_INTERVAL
06630.p MEASURABLE_ON_COMPOSE_CONTINUOUS_CLOSED_SET
06631.p MEASURABLE_ON_COMPOSE_CONTINUOUS_CLOSED_SET_0
06632.p CONTINUOUS_IMP_MEASURABLE_ON
06633.p MEASURABLE_ON_CONST
06634.p MEASURABLE_ON_0
06635.p MEASURABLE_ON_CMUL
06636.p MEASURABLE_ON_NEG
06637.p MEASURABLE_ON_NEG_EQ
06638.p MEASURABLE_ON_NORM
06639.p MEASURABLE_ON_PASTECART
06640.p MEASURABLE_ON_COMBINE
06641.p MEASURABLE_ON_ADD
06642.p MEASURABLE_ON_SUB
06643.p MEASURABLE_ON_MAX
06644.p MEASURABLE_ON_MIN
06645.p MEASURABLE_ON_DROP_MUL
06646.p MEASURABLE_ON_LIFT_MUL
06647.p MEASURABLE_ON_VSUM
06648.p MEASURABLE_ON_COMPONENTWISE
06650.p MEASURABLE_ON_SPIKE_SET
06651.p MEASURABLE_ON_RESTRICT
06652.p MEASURABLE_ON_LEBESGUE_MEASURABLE_SUBSET
06653.p MEASURABLE_ON_LIMIT
06654.p Hypermap.LT0_LE1
06656.p NEGLIGIBLE_LOCALLY_LIPSCHITZ_IMAGE
06658.p MEASURABLE_IMP_LEBESGUE_MEASURABLE
06659.p LEBESGUE_MEASURABLE_EMPTY
06660.p LEBESGUE_MEASURABLE_UNIV
06661.p LEBESGUE_MEASURABLE_COMPACT
06662.p LEBESGUE_MEASURABLE_INTER
06663.p LEBESGUE_MEASURABLE_UNION
06664.p LEBESGUE_MEASURABLE_COMPL
06665.p LEBESGUE_MEASURABLE_DIFF
06667.p LEBESGUE_MEASURABLE_INTERVAL_conjunct0
06668.p LEBESGUE_MEASURABLE_ON_SUBINTERVALS
06669.p LEBESGUE_MEASURABLE_CLOSED
06670.p LEBESGUE_MEASURABLE_OPEN
06672.p LEBESGUE_MEASURABLE_COUNTABLE_UNIONS_EXPLICIT
06673.p LEBESGUE_MEASURABLE_COUNTABLE_UNIONS
06674.p LEBESGUE_MEASURABLE_COUNTABLE_INTERS
06676.p LEBESGUE_MEASURABLE_INTERS
06677.p LEBESGUE_MEASURABLE_IFF_MEASURABLE
06679.p CONTINUOUS_IMP_MEASURABLE_ON_CLOSED_SUBSET
06681.p MEASURABLE_ON_LINEAR_IMAGE_EQ
06682.p LEBESGUE_MEASURABLE_TRANSLATION
06683.p LEBESGUE_MEASURABLE_LINEAR_IMAGE_EQ
06684.p MEASURABLE_ON_SIMPLE_FUNCTION_LIMIT
06685.p MEASURABLE_ON_PREIMAGE_OPEN_HALFSPACE_COMPONENT_LT
06686.p MEASURABLE_ON_PREIMAGE_OPEN_HALFSPACE_COMPONENT_GE
06687.p MEASURABLE_ON_PREIMAGE_OPEN_HALFSPACE_COMPONENT_GT
06688.p MEASURABLE_ON_PREIMAGE_OPEN_HALFSPACE_COMPONENT_LE
06689.p MEASURABLE_ON_PREIMAGE_OPEN
06690.p MEASURABLE_ON_PREIMAGE_OPEN_INTERVAL
06691.p MEASURABLE_ON_PREIMAGE_CLOSED
06692.p MEASURABLE_ON_PREIMAGE_CLOSED_INTERVAL
06695.p MEASURABLE_LEGESGUE_MEASURABLE_SUBSET
06696.p MEASURABLE_LEGESGUE_MEASURABLE_INTER_MEASURABLE
06697.p MEASURABLE_MEASURABLE_INTER_LEGESGUE_MEASURABLE
06698.p MEASURABLE_INTER_HALFSPACE_LE
06699.p MEASURABLE_INTER_HALFSPACE_GE
06700.p MEASURABLE_MEASURABLE_DIFF_LEGESGUE_MEASURABLE
06701.p LEBESGUE_MEASURABLE_OUTER_OPEN
06702.p LEBESGUE_MEASURABLE_INNER_CLOSED
06703.p STEINHAUS_LEBESGUE
06705.p ITER_ALT_conjunct1
06706.p ITER_ALT_conjunct0
06708.p ITER_ADD
06709.p ITER_MUL
06710.p ITER_FIXPOINT
06711.p RE
06712.p IM
06713.p COMPLEX_EQ
06714.p COMPLEX
06715.p COMPLEX_EQ_0
06716.p FORALL_COMPLEX
06718.p complex_neg
06719.p complex_add
06720.p complex_sub
06721.p complex_norm
06722.p COMPLEX_SQNORM
06723.p COMPLEX_ADD_SYM
06724.p COMPLEX_ADD_ASSOC
06725.p COMPLEX_ADD_LID
06726.p COMPLEX_ADD_LINV
06727.p COMPLEX_MUL_SYM
06728.p COMPLEX_MUL_ASSOC
06729.p COMPLEX_MUL_LID
06730.p COMPLEX_ADD_LDISTRIB
06731.p COMPLEX_ADD_RID
06732.p COMPLEX_MUL_RID
06733.p COMPLEX_ADD_RINV
06734.p COMPLEX_ADD_RDISTRIB
06735.p COMPLEX_EQ_ADD_LCANCEL
06737.p COMPLEX_MUL_RZERO
06738.p COMPLEX_MUL_LZERO
06739.p COMPLEX_NEG_NEG
06740.p COMPLEX_MUL_RNEG
06741.p COMPLEX_MUL_LNEG
06743.p COMPLEX_NEG_0
06753.p COMPLEX_SUB_REFL
06754.p COMPLEX_SUB_0
06755.p COMPLEX_NEG_EQ_0
06756.p COMPLEX_NEG_SUB
06759.p COMPLEX_NEG_MINUS1
06762.p COMPLEX_SUB_LZERO
06763.p COMPLEX_SUB_RZERO
06765.p COMPLEX_SUB_RNEG
06768.p COMPLEX_EQ_SUB_LADD
06769.p COMPLEX_EQ_SUB_RADD
06774.p COMPLEX_SUB_LDISTRIB
06775.p COMPLEX_SUB_RDISTRIB
06776.p COMPLEX_MUL_2
06777.p II_NZ
06778.p COMPLEX_MUL_LINV
06779.p COMPLEX_ENTIRE
06780.p COMPLEX_MUL_RINV
06781.p COMPLEX_DIV_REFL
06782.p CX_INJ
06783.p CX_NEG
06784.p CX_ADD
06785.p CX_SUB
06786.p CX_INV
06787.p CX_MUL
06788.p CX_POW
06789.p CX_DIV
06790.p CX_ABS
06791.p COMPLEX_NORM_CX
06792.p RE_CX
06793.p RE_NEG
06794.p RE_ADD
06795.p RE_SUB
06796.p IM_CX
06797.p IM_NEG
06798.p IM_ADD
06799.p IM_SUB
06800.p COMPLEX_EXPAND
06801.p COMPLEX_TRAD
06802.p RE_II
06803.p IM_II
06804.p RE_MUL_II
06805.p IM_MUL_II
06806.p COMPLEX_NORM_II
06807.p RE_CMUL
06808.p IM_CMUL
06809.p RE_MUL_CX
06810.p IM_MUL_CX
06811.p RE_DIV_CX
06812.p IM_DIV_CX
06814.p COMPLEX_POLY_NEG_CLAUSES_conjunct0
06815.p COMPLEX_POLY_NEG_CLAUSES_conjunct1
06816.p COMPLEX_INV_0
06817.p COMPLEX_INV_1
06818.p COMPLEX_INV_MUL
06819.p COMPLEX_POW_INV
06820.p COMPLEX_INV_INV
06821.p COMPLEX_MUL_AC_conjunct2
06822.p COMPLEX_MUL_AC_conjunct1
06824.p COMPLEX_INV_DIV
06826.p COMPLEX_EQ_MUL_RCANCEL
06827.p COMPLEX_DIV_1
06828.p COMPLEX_DIV_LMUL
06829.p COMPLEX_DIV_RMUL
06830.p COMPLEX_INV_EQ_0
06831.p COMPLEX_INV_NEG
06832.p COMPLEX_NEG_INV
06834.p COMPLEX_POW_ADD
06835.p COMPLEX_POW_POW
06836.p COMPLEX_POW_1
06837.p COMPLEX_POW_2
06838.p COMPLEX_POW_NEG
06839.p COMPLEX_POW_ONE
06840.p COMPLEX_POW_MUL
06842.p COMPLEX_POW_II_2
06843.p COMPLEX_POW_EQ_0
06844.p COMPLEX_POW_ZERO
06847.p COMPLEX_VEC_0
06848.p COMPLEX_NORM_ZERO
06849.p COMPLEX_NORM_NUM
06850.p COMPLEX_NORM_0
06851.p COMPLEX_NORM_NZ
06852.p COMPLEX_NORM_MUL
06853.p COMPLEX_NORM_POW
06854.p COMPLEX_NORM_INV
06855.p COMPLEX_NORM_DIV
06856.p COMPLEX_NORM_TRIANGLE_SUB
06860.p CNJ_CNJ
06861.p CNJ_CX
06862.p COMPLEX_NORM_CNJ
06863.p CNJ_NEG
06864.p CNJ_INV
06865.p CNJ_ADD
06866.p CNJ_SUB
06867.p CNJ_MUL
06868.p CNJ_DIV
06869.p CNJ_POW
06870.p RE_CNJ
06871.p IM_CNJ
06872.p CNJ_EQ_CX
06873.p CNJ_EQ_0
06875.p CNJ_II
06876.p CX_RE_CNJ
06877.p CX_IM_CNJ
06880.p COMPLEX_INV_CNJ
06881.p COMPLEX_DIV_CNJ
06882.p RE_COMPLEX_DIV_EQ_0
06883.p IM_COMPLEX_DIV_EQ_0
06884.p RE_COMPLEX_DIV_GT_0
06885.p IM_COMPLEX_DIV_GT_0
06886.p RE_COMPLEX_DIV_GE_0
06887.p IM_COMPLEX_DIV_GE_0
06892.p IM_COMPLEX_INV_GE_0
06893.p IM_COMPLEX_INV_LE_0
06897.p REAL_SGN_IM_COMPLEX_DIV
06898.p COMPLEX_NORM_GE_RE_IM
06899.p COMPLEX_NORM_LE_RE_IM
06900.p CSQRT
06901.p CX_SQRT
06902.p CSQRT_CX
06903.p CSQRT_0
06904.p CSQRT_1
06905.p CSQRT_PRINCIPAL
06907.p CSQRT_UNIQUE
06908.p POW_2_CSQRT
06910.p COMPLEX_CMUL
06911.p LINEAR_COMPLEX_MUL
06912.p BILINEAR_COMPLEX_MUL
06913.p RE_VSUM
06914.p IM_VSUM
06915.p VSUM_COMPLEX_LMUL
06916.p VSUM_COMPLEX_RMUL
06917.p VSUM_CX
06918.p CNJ_VSUM
06919.p VSUM_CX_NUMSEG
06920.p COMPLEX_SUB_POW
06921.p COMPLEX_SUB_POW_R1
06923.p REAL
06924.p REAL_CNJ
06925.p REAL_EXISTS
06926.p FORALL_REAL
06928.p REAL_CX
06929.p REAL_MUL_CX
06930.p REAL_ADD
06932.p REAL_SUB
06933.p REAL_MUL
06935.p REAL_INV
06936.p REAL_INV_EQ
06938.p REAL_VSUM
06939.p REAL_SEGMENT
06940.p IN_SEGMENT_CX
06941.p IN_SEGMENT_CX_GEN
06943.p CONVEX_REAL
06944.p IMAGE_CX
06945.p REAL_NORM
06946.p REAL_NORM_POS
06947.p COMPLEX_NORM_VSUM_SUM_RE
06948.p COMPLEX_NORM_VSUM_BOUND
06950.p VSUM_GP_BASIC
06951.p VSUM_GP_MULTIPLIED
06952.p VSUM_GP
06954.p COMPLEX_SUB_POLYFUN
06956.p COMPLEX_POLYFUN_LINEAR_FACTOR
06957.p COMPLEX_POLYFUN_LINEAR_FACTOR_ROOT
06958.p COMPLEX_POLYFUN_EXTREMAL_LEMMA
06959.p COMPLEX_POLYFUN_EXTREMAL
06960.p COMPLEX_POLYFUN_ROOTBOUND
06962.p COMPLEX_POLYFUN_EQ_0
06964.p NEUTRAL_COMPLEX_MUL
06965.p MONOIDAL_COMPLEX_MUL
06966.p CPRODUCT_CLAUSES_conjunct1
06967.p CPRODUCT_CLAUSES_conjunct0
06970.p CPRODUCT_MUL
06971.p CPRODUCT_EQ_1
06972.p CPRODUCT_1
06976.p CLOSED_HALFSPACE_RE_GE
06977.p CLOSED_HALFSPACE_RE_LE
06979.p OPEN_HALFSPACE_RE_GT
06980.p OPEN_HALFSPACE_RE_LT
06981.p CLOSED_HALFSPACE_IM_GE
06982.p CLOSED_HALFSPACE_IM_LE
06983.p CLOSED_HALFSPACE_IM_EQ
06984.p OPEN_HALFSPACE_IM_GT
06985.p OPEN_HALFSPACE_IM_LT
07000.p CLOSED_REAL_SET
07001.p CLOSED_REAL
07002.p UNIFORM_LIM_COMPLEX_MUL
07003.p UNIFORM_LIM_COMPLEX_INV
07005.p LIM_COMPLEX_MUL
07006.p LIM_COMPLEX_INV
07007.p LIM_COMPLEX_DIV
07008.p LIM_COMPLEX_POW
07009.p LIM_COMPLEX_LMUL
07010.p LIM_COMPLEX_RMUL
07018.p LIM_NULL_COMPLEX_BOUND
07024.p SERIES_COMPLEX_LMUL
07025.p SERIES_COMPLEX_RMUL
07026.p SERIES_COMPLEX_DIV
07027.p SUMMABLE_COMPLEX_LMUL
07030.p CONTINUOUS_COMPLEX_MUL
07031.p CONTINUOUS_COMPLEX_INV
07032.p CONTINUOUS_COMPLEX_DIV
07033.p CONTINUOUS_COMPLEX_POW
07034.p CONTINUOUS_COMPLEX_INV_WITHIN
07035.p CONTINUOUS_COMPLEX_INV_AT
07036.p CONTINUOUS_COMPLEX_DIV_WITHIN
07038.p CONTINUOUS_ON_COMPLEX_MUL
07040.p CONTINUOUS_ON_COMPLEX_POW
07041.p LIM_CONTINUOUS
07042.p CONTINUOUS_AT_CX_NORM
07043.p CONTINUOUS_WITHIN_CX_NORM
07045.p CONTINUOUS_AT_CX_DOT
07046.p CONTINUOUS_WITHIN_CX_DOT
07048.p LINEAR_CX_RE
07051.p LINEAR_CX_IM
07052.p CONTINUOUS_AT_CX_IM
07054.p HOLOMORPHIC_ON_DIFFERENTIABLE
07055.p HOLOMORPHIC_ON_OPEN
07057.p HOLOMORPHIC_ON_IMP_DIFFERENTIABLE_AT
07058.p HAS_COMPLEX_DERIVATIVE_IMP_CONTINUOUS_AT
07059.p HAS_COMPLEX_DERIVATIVE_IMP_CONTINUOUS_WITHIN
07061.p HOLOMORPHIC_ON_IMP_CONTINUOUS_ON
07062.p HOLOMORPHIC_ON_SUBSET
07063.p HAS_COMPLEX_DERIVATIVE_WITHIN_SUBSET
07065.p HAS_COMPLEX_DERIVATIVE_AT_WITHIN
07066.p HAS_COMPLEX_DERIVATIVE_WITHIN_OPEN
07067.p COMPLEX_DIFFERENTIABLE_AT_WITHIN
07068.p HAS_COMPLEX_DERIVATIVE_TRANSFORM_WITHIN
07069.p HAS_COMPLEX_DERIVATIVE_TRANSFORM_WITHIN_OPEN
07070.p HAS_COMPLEX_DERIVATIVE_TRANSFORM_AT
07071.p HAS_COMPLEX_DERIVATIVE_ZERO_CONSTANT
07072.p HAS_COMPLEX_DERIVATIVE_ZERO_UNIQUE
07075.p COMPLEX_DIFF_CHAIN_WITHIN
07076.p COMPLEX_DIFF_CHAIN_AT
07077.p HAS_COMPLEX_DERIVATIVE_CHAIN
07078.p HAS_COMPLEX_DERIVATIVE_CHAIN_UNIV
07079.p COMPLEX_DERIVATIVE_UNIQUE_AT
07081.p HAS_COMPLEX_DERIVATIVE_WITHIN
07082.p HAS_COMPLEX_DERIVATIVE_AT
07083.p HAS_DERIVATIVE_COMPLEX_CMUL
07084.p HAS_COMPLEX_DERIVATIVE_LINEAR
07085.p HAS_COMPLEX_DERIVATIVE_LMUL_WITHIN
07086.p HAS_COMPLEX_DERIVATIVE_LMUL_AT
07087.p HAS_COMPLEX_DERIVATIVE_RMUL_WITHIN
07088.p HAS_COMPLEX_DERIVATIVE_RMUL_AT
07089.p HAS_COMPLEX_DERIVATIVE_CDIV_WITHIN
07090.p HAS_COMPLEX_DERIVATIVE_CDIV_AT
07091.p HAS_COMPLEX_DERIVATIVE_ID
07092.p HAS_COMPLEX_DERIVATIVE_CONST
07093.p HAS_COMPLEX_DERIVATIVE_NEG
07094.p HAS_COMPLEX_DERIVATIVE_ADD
07095.p HAS_COMPLEX_DERIVATIVE_SUB
07096.p HAS_COMPLEX_DERIVATIVE_MUL_WITHIN
07097.p HAS_COMPLEX_DERIVATIVE_MUL_AT
07098.p HAS_COMPLEX_DERIVATIVE_POW_WITHIN
07099.p HAS_COMPLEX_DERIVATIVE_POW_AT
07100.p HAS_COMPLEX_DERIVATIVE_INV_BASIC
07101.p HAS_COMPLEX_DERIVATIVE_INV_WITHIN
07102.p HAS_COMPLEX_DERIVATIVE_INV_AT
07103.p HAS_COMPLEX_DERIVATIVE_DIV_WITHIN
07104.p HAS_COMPLEX_DERIVATIVE_DIV_AT
07105.p HAS_COMPLEX_DERIVATIVE_VSUM
07106.p COMPLEX_DIFFERENTIABLE_LINEAR
07107.p COMPLEX_DIFFERENTIABLE_CONST
07108.p COMPLEX_DIFFERENTIABLE_ID
07109.p COMPLEX_DIFFERENTIABLE_NEG
07110.p COMPLEX_DIFFERENTIABLE_ADD
07111.p COMPLEX_DIFFERENTIABLE_SUB
07112.p COMPLEX_DIFFERENTIABLE_INV_WITHIN
07113.p COMPLEX_DIFFERENTIABLE_MUL_WITHIN
07114.p COMPLEX_DIFFERENTIABLE_DIV_WITHIN
07115.p COMPLEX_DIFFERENTIABLE_POW_WITHIN
07116.p COMPLEX_DIFFERENTIABLE_TRANSFORM_WITHIN
07117.p HOLOMORPHIC_TRANSFORM
07124.p COMPLEX_DIFFERENTIABLE_COMPOSE_WITHIN
07126.p HOLOMORPHIC_ON_LINEAR
07127.p HOLOMORPHIC_ON_CONST
07128.p HOLOMORPHIC_ON_ID
07129.p HOLOMORPHIC_ON_COMPOSE
07130.p HOLOMORPHIC_ON_NEG
07131.p HOLOMORPHIC_ON_ADD
07132.p HOLOMORPHIC_ON_SUB
07133.p HOLOMORPHIC_ON_MUL
07134.p HOLOMORPHIC_ON_INV
07136.p HOLOMORPHIC_ON_POW
07139.p HAS_COMPLEX_DERIVATIVE_DERIVATIVE
07140.p HAS_COMPLEX_DERIVATIVE_DIFFERENTIABLE
07142.p COMPLEX_DERIVATIVE_CHAIN
07143.p COMPLEX_DERIVATIVE_LINEAR
07146.p COMPLEX_DERIVATIVE_ADD
07147.p COMPLEX_DERIVATIVE_SUB
07148.p COMPLEX_DERIVATIVE_MUL
07149.p COMPLEX_DERIVATIVE_LMUL
07150.p COMPLEX_DERIVATIVE_RMUL
07153.p ANALYTIC_IMP_HOLOMORPHIC
07154.p ANALYTIC_ON_OPEN
07156.p ANALYTIC_ON_SUBSET
07158.p ANALYTIC_ON_UNIONS
07159.p ANALYTIC_ON_HOLOMORPHIC
07161.p ANALYTIC_ON_CONST
07163.p ANALYTIC_ON_COMPOSE
07165.p ANALYTIC_ON_NEG
07166.p ANALYTIC_ON_ADD
07168.p ANALYTIC_ON_MUL
07169.p ANALYTIC_ON_INV
07173.p ANALYTIC_AT_BALL
07174.p ANALYTIC_AT
07176.p ANALYTIC_AT_TWO
07188.p HAS_COMPLEX_DERIVATIVE_SERIES
07189.p COMPLEX_DIFFERENTIABLE_BOUND
07190.p HAS_COMPLEX_DERIVATIVE_INVERSE_BASIC
07192.p HAS_COMPLEX_DERIVATIVE_INVERSE_STRONG_X
07193.p COMPLEX_DIFFERENTIABLE_IMP_DIFFERENTIABLE
07194.p COMPLEX_BASIS_conjunct1
07195.p COMPLEX_BASIS_conjunct0
07196.p CAUCHY_RIEMANN
07197.p COMPLEX_DERIVATIVE_JACOBIAN
07199.p COMPLEX_TAYLOR
07200.p COMPLEX_MVT
07201.p COMPLEX_MVT_LINE
07203.p LIM_CNJ
07204.p SUMS_CNJ
07205.p REAL_LIM
07206.p REAL_LIM_SEQUENTIALLY
07207.p REAL_SERIES
07208.p LIM_NULL_COMPARISON_COMPLEX
07210.p SERIES_COMPARISON_COMPLEX
07213.p SERIES_ABSCONV_IMP_CONV
07214.p SUMS_GP
07215.p SUMMABLE_GP
07218.p SERIES_DIRICHLET_COMPLEX_VERY_EXPLICIT
07220.p ABEL_LEMMA
07221.p POWER_SERIES_CONV_IMP_ABSCONV
07222.p POWER_SERIES_CONV_IMP_ABSCONV_WEAK
07223.p SUM_INTEGRAL_UBOUND_INCREASING
07224.p SUM_INTEGRAL_UBOUND_DECREASING
07225.p SUM_INTEGRAL_LBOUND_INCREASING
07226.p SUM_INTEGRAL_LBOUND_DECREASING
07231.p LIM_COMPLEX_REAL
07233.p POWER_SERIES_UNIFORM_CONVERGENCE_STOLZ_1
07235.p ABEL_POWER_SERIES_CONTINUOUS
07236.p ABEL_LIMIT_THEOREM
07237.p CEXP_0
07238.p CEXP_CONVERGES_UNIFORMLY_CAUCHY
07239.p CEXP_CONVERGES
07240.p CEXP_CONVERGES_UNIQUE
07241.p CEXP_CONVERGES_UNIFORMLY
07242.p HAS_COMPLEX_DERIVATIVE_CEXP
07243.p COMPLEX_DIFFERENTIABLE_AT_CEXP
07245.p CONTINUOUS_AT_CEXP
07247.p CONTINUOUS_ON_CEXP
07249.p CEXP_ADD_MUL
07250.p CEXP_NEG_RMUL
07251.p CEXP_NEG_LMUL
07252.p CEXP_NEG
07253.p CEXP_ADD
07254.p CEXP_SUB
07255.p CEXP_NZ
07256.p CEXP_N
07258.p CEXP_BOUND_BLEMMA
07259.p CEXP_BOUND_HALF
07260.p CEXP_BOUND_LEMMA
07261.p CSIN_0
07262.p CCOS_0
07263.p CSIN_CIRCLE
07264.p CSIN_ADD
07265.p CCOS_ADD
07266.p CSIN_NEG
07267.p CCOS_NEG
07268.p CSIN_DOUBLE
07269.p CCOS_DOUBLE
07270.p CSIN_SUB
07271.p CCOS_SUB
07272.p COMPLEX_MUL_CSIN_CSIN
07273.p COMPLEX_MUL_CSIN_CCOS
07274.p COMPLEX_MUL_CCOS_CSIN
07275.p COMPLEX_MUL_CCOS_CCOS
07276.p COMPLEX_ADD_CSIN
07277.p COMPLEX_SUB_CSIN
07278.p COMPLEX_ADD_CCOS
07279.p COMPLEX_SUB_CCOS
07280.p CEXP_EULER
07282.p CNJ_CEXP
07283.p REAL_EXP
07284.p CX_EXP
07285.p REAL_EXP_ADD
07290.p REAL_EXP_NEG
07291.p REAL_EXP_N
07292.p REAL_EXP_SUB
07293.p REAL_EXP_NZ
07294.p REAL_EXP_POS_LE
07295.p REAL_EXP_POS_LT
07296.p REAL_EXP_LE_X
07297.p REAL_EXP_LT_1
07298.p REAL_EXP_MONO_IMP
07299.p REAL_EXP_MONO_LT
07300.p REAL_EXP_MONO_LE
07301.p REAL_EXP_INJ
07302.p REAL_EXP_EQ_1
07303.p REAL_ABS_EXP
07306.p CNJ_CSIN
07310.p CNJ_CCOS
07311.p REAL_SIN
07312.p REAL_COS
07313.p CX_SIN
07314.p CX_COS
07315.p HAS_COMPLEX_DERIVATIVE_CSIN
07316.p COMPLEX_DIFFERENTIABLE_AT_CSIN
07318.p HAS_COMPLEX_DERIVATIVE_CCOS
07319.p COMPLEX_DIFFERENTIABLE_AT_CCOS
07321.p CONTINUOUS_AT_CSIN
07323.p CONTINUOUS_ON_CSIN
07325.p CONTINUOUS_AT_CCOS
07327.p CONTINUOUS_ON_CCOS
07331.p SIN_CIRCLE
07333.p COS_ADD
07336.p SIN_DOUBLE
07337.p COS_DOUBLE
07338.p COS_DOUBLE_COS
07339.p COS_BOUND
07340.p SIN_BOUND
07341.p SIN_BOUNDS
07342.p COS_BOUNDS
07343.p COS_ABS
07344.p SIN_SUB
07345.p COS_SUB
07351.p REAL_SUB_SIN
07353.p REAL_SUB_COS
07354.p EULER
07355.p RE_CEXP
07356.p IM_CEXP
07357.p RE_CSIN
07358.p IM_CSIN
07359.p RE_CCOS
07360.p IM_CCOS
07361.p IVT_INCREASING_RE
07362.p IVT_DECREASING_RE
07363.p IVT_INCREASING_IM
07365.p EXP_LOG
07366.p LOG_EXP
07367.p REAL_EXP_LOG
07368.p LOG_MUL
07370.p LOG_1
07371.p LOG_INV
07373.p LOG_MONO_LT
07374.p LOG_MONO_LT_IMP
07375.p LOG_MONO_LE
07376.p LOG_MONO_LE_IMP
07377.p LOG_POW
07378.p LOG_LE
07380.p LOG_POS
07381.p LOG_POS_LT
07382.p SIN_NEARZERO
07383.p SIN_NONTRIVIAL
07384.p COS_NONTRIVIAL
07385.p COS_DOUBLE_BOUND
07386.p COS_GOESNEGATIVE_LEMMA
07387.p COS_GOESNEGATIVE
07388.p COS_HASZERO
07389.p SIN_HASZERO
07390.p SIN_HASZERO_MINIMAL
07391.p PI_WORKS_conjunct2
07392.p SIN_PI
07394.p PI_POS_LE
07395.p PI_NZ
07396.p REAL_ABS_PI
07399.p COS_PI
07400.p SIN_PI2
07401.p SIN_COS
07402.p COS_SIN
07404.p COS_PERIODIC_PI
07407.p SIN_NPI
07408.p COS_NPI
07410.p SIN_POS_PI2
07411.p COS_POS_PI
07412.p COS_POS_PI_LE
07413.p SIN_POS_PI_LE
07414.p SIN_PIMUL_EQ_0
07415.p SIN_EQ_0
07416.p COS_EQ_0
07417.p SIN_ZERO_PI
07418.p COS_ZERO_PI
07420.p COS_ZERO
07421.p COS_ONE_2PI
07422.p SIN_COS_SQRT
07423.p SIN_EQ_0_PI
07427.p SIN_TOTAL_POS
07428.p SINCOS_TOTAL_PI2
07429.p SINCOS_TOTAL_PI
07430.p SINCOS_TOTAL_2PI
07431.p CIRCLE_SINCOS
07433.p COMPLEX_UNIMODULAR_POLAR
07434.p SIN_INTEGER_2PI
07435.p COS_INTEGER_2PI
07436.p Trigonometry2.TWO_PI_POS
07437.p SINCOS_PRINCIPAL_VALUE
07438.p CEXP_COMPLEX
07439.p NORM_COSSIN
07440.p NORM_CEXP
07441.p NORM_CEXP_II
07442.p NORM_CEXP_IMAGINARY
07443.p CEXP_EQ_1
07444.p CEXP_EQ
07445.p COMPLEX_EQ_CEXP
07446.p SIN_COS_EQ
07447.p SIN_COS_INJ
07449.p TAYLOR_CEXP
07451.p TAYLOR_CSIN_RAW
07452.p TAYLOR_CSIN
07453.p TAYLOR_CCOS_RAW
07455.p ARG_0
07456.p ARG
07458.p ARG_UNIQUE
07459.p ARG_MUL_CX
07460.p ARG_DIV_CX
07461.p ARG_LT_NZ
07462.p ARG_LE_PI
07463.p ARG_LT_PI
07464.p ARG_EQ_0
07465.p ARG_NUM
07466.p ARG_EQ_PI
07467.p ARG_EQ_0_PI
07468.p ARG_INV
07469.p ARG_EQ
07470.p ARG_INV_EQ_0
07471.p ARG_LE_DIV_SUM
07472.p ARG_LE_DIV_SUM_EQ
07473.p REAL_SUB_ARG
07474.p REAL_ADD_ARG
07476.p LINEAR_ROTATE2D
07477.p ROTATE2D_SUB
07478.p NORM_ROTATE2D
07479.p ROTATE2D_0
07480.p ROTATE2D_EQ_0
07481.p ROTATE2D_ZERO
07482.p ORTHOGONAL_TRANSFORMATION_ROTATE2D
07484.p MATRIX_ROTATE2D
07486.p ROTATION_ROTATE2D
07487.p ROTATE2D_ADD
07488.p ROTATE2D_COMPLEX
07489.p ROTATE2D_PI2
07491.p ROTATE2D_NPI
07493.p ARG_ROTATE2D
07494.p ARG_ROTATE2D_UNIQUE
07496.p COMPLEX_DIV_ROTATION
07497.p ROTATION_ROTATE2D_EXISTS_GEN
07499.p ROTATION_ROTATE2D_EXISTS_ORTHOGONAL
07500.p ROTATION_ROTATE2D_EXISTS_ORTHOGONAL_ORIENTED
07503.p ROTATION_MATRIX_ROTATE2D
07505.p CTAN_0
07506.p CTAN_NEG
07507.p CTAN_ADD
07509.p CTAN_SUB
07510.p COMPLEX_ADD_CTAN
07511.p COMPLEX_SUB_CTAN
07512.p HAS_COMPLEX_DERIVATIVE_CTAN
07513.p COMPLEX_DIFFERENTIABLE_AT_CTAN
07515.p CONTINUOUS_AT_CTAN
07519.p CNJ_CTAN
07520.p REAL_TAN
07521.p CX_TAN
07522.p tan
07526.p TAN_NEG
07527.p TAN_PERIODIC_PI
07529.p TAN_ADD
07531.p TAN_DOUBLE
07533.p REAL_SUB_TAN
07534.p TAN_PI4
07535.p TAN_POS_PI2
07536.p TAN_POS_PI2_LE
07537.p COS_TAN
07538.p SIN_TAN
07539.p SIN_MONO_LT
07540.p SIN_MONO_LE
07541.p SIN_MONO_LT_EQ
07542.p SIN_MONO_LE_EQ
07543.p SIN_INJ_PI
07544.p COS_MONO_LT
07545.p COS_MONO_LE
07546.p COS_MONO_LT_EQ
07547.p COS_MONO_LE_EQ
07548.p COS_INJ_PI
07549.p TAN_MONO_LT
07550.p TAN_MONO_LE
07551.p TAN_MONO_LT_EQ
07554.p TAN_COT
07555.p SIN_PI6_STRADDLE
07558.p CLOG_WORKS
07559.p CEXP_CLOG
07560.p CLOG_CEXP
07562.p CLOG_UNIQUE
07564.p HAS_COMPLEX_DERIVATIVE_CLOG
07565.p COMPLEX_DIFFERENTIABLE_AT_CLOG
07567.p CONTINUOUS_AT_CLOG
07571.p CX_LOG
07572.p RE_CLOG_POS_LT
07573.p RE_CLOG_POS_LE
07574.p IM_CLOG_POS_LT
07575.p IM_CLOG_POS_LE
07576.p RE_CLOG_POS_LT_IMP
07577.p IM_CLOG_POS_LT_IMP
07579.p IM_CLOG_EQ_PI
07580.p CNJ_CLOG
07581.p CLOG_INV
07582.p CLOG_1
07583.p CLOG_NEG_1
07584.p CLOG_II
07585.p CLOG_NEG_II
07586.p CSQRT_CEXP_CLOG
07588.p HAS_COMPLEX_DERIVATIVE_CSQRT
07589.p COMPLEX_DIFFERENTIABLE_AT_CSQRT
07591.p CONTINUOUS_AT_CSQRT
07592.p CONTINUOUS_WITHIN_CSQRT
07595.p CONTINUOUS_WITHIN_CSQRT_POSREAL
07596.p CPOW_0
07597.p CPOW_N
07599.p CPOW_ADD
07600.p CPOW_NEG
07603.p NORM_CPOW_REAL
07608.p HAS_COMPLEX_DERIVATIVE_CPOW_RIGHT
07609.p COMPLEX_DIFFERENTIABLE_CPOW_RIGHT
07611.p CLOG_MUL
07612.p CLOG_MUL_SIMPLE
07615.p UNWINDING_2PI
07617.p IM_COMPLEX_DIV_LEMMA
07618.p RE_COMPLEX_DIV_LEMMA
07619.p CTAN_CATN
07620.p CATN_CTAN
07621.p RE_CATN_BOUNDS
07622.p HAS_COMPLEX_DERIVATIVE_CATN
07623.p COMPLEX_DIFFERENTIABLE_AT_CATN
07625.p CONTINUOUS_AT_CATN
07629.p CX_ATN
07631.p ATN_BOUND
07633.p TAN_ATN
07634.p ATN_0
07636.p ATN_NEG
07637.p ATN_MONO_LT
07638.p ATN_MONO_LT_EQ
07639.p ATN_MONO_LE_EQ
07642.p ATN_POS_LE
07643.p ATN_LT_PI4_POS
07644.p ATN_LT_PI4_NEG
07645.p ATN_LT_PI4
07647.p COS_ATN_NZ
07649.p COS_ATN
07650.p SIN_ATN
07651.p ATN_ABS_LE_X
07657.p RE_POW_2
07658.p IM_POW_2
07659.p ABS_SQUARE_LT_1
07660.p ABS_SQUARE_LE_1
07661.p CASN_BODY_LEMMA
07662.p CSIN_CASN
07663.p CASN_CSIN
07665.p CASN_0
07666.p CASN_1
07667.p CASN_NEG_1
07668.p HAS_COMPLEX_DERIVATIVE_CASN
07669.p COMPLEX_DIFFERENTIABLE_AT_CASN
07671.p CONTINUOUS_AT_CASN
07675.p CACS_BODY_LEMMA
07676.p CCOS_CACS
07677.p CACS_CCOS
07678.p CACS_UNIQUE
07679.p CACS_0
07680.p CACS_1
07681.p CACS_NEG_1
07682.p HAS_COMPLEX_DERIVATIVE_CACS
07683.p COMPLEX_DIFFERENTIABLE_AT_CACS
07685.p CONTINUOUS_AT_CACS
07689.p CASN_RANGE_LEMMA
07690.p CACS_RANGE_LEMMA
07691.p RE_CASN
07692.p RE_CACS
07693.p CASN_BOUNDS
07694.p CACS_BOUNDS
07695.p CCOS_CASN_NZ
07696.p CSIN_CACS_NZ
07699.p CASN_CACS_SQRT_POS
07700.p CACS_CASN_SQRT_POS
07703.p REAL_ASN
07704.p CX_ASN
07705.p SIN_ASN
07706.p ASN_SIN
07707.p ASN_BOUNDS_LT
07708.p ASN_0
07709.p ASN_1
07710.p ASN_NEG_1
07711.p ASN_BOUNDS
07712.p ASN_NEG
07714.p ASN_MONO_LT_EQ
07715.p ASN_MONO_LE_EQ
07718.p COS_ASN
07719.p REAL_ACS
07720.p CX_ACS
07721.p COS_ACS
07722.p ACS_COS
07723.p ACS_BOUNDS_LT
07724.p ACS_0
07725.p ACS_1
07726.p ACS_NEG_1
07728.p ACS_NEG
07729.p SIN_ACS_NZ
07730.p ACS_MONO_LT_EQ
07731.p ACS_MONO_LE_EQ
07732.p ACS_MONO_LT
07733.p ACS_MONO_LE
07735.p ACS_INJ
07736.p Trigonometry.SCEZKRH2
07737.p ACS_ATN
07738.p ASN_PLUS_ACS
07739.p ASN_ACS
07742.p ASN_ACS_SQRT_POS
07744.p ACS_ASN_SQRT_POS
07746.p CONTINUOUS_ON_CASN_REAL
07747.p CONTINUOUS_WITHIN_CASN_REAL
07748.p CONTINUOUS_ON_CACS_REAL
07749.p CONTINUOUS_WITHIN_CACS_REAL
07750.p LIM_LOG_OVER_POWER
07751.p LIM_LOG_OVER_N
07752.p LIM_1_OVER_POWER
07753.p LIM_1_OVER_N
07754.p LIM_INV_N
07755.p LIM_1_OVER_LOG
07756.p LIM_N_TIMES_POWN
07758.p LIM_POWN
07759.p COMPLEX_ROOT_POLYFUN
07760.p COMPLEX_ROOT_UNITY
07761.p COMPLEX_ROOT_UNITY_EQ
07764.p FINITE_COMPLEX_ROOTS_UNITY
07765.p FINITE_CARD_COMPLEX_ROOTS_UNITY_EXPLICIT
07766.p COMPLEX_ROOTS_UNITY
07767.p CARD_COMPLEX_ROOTS_UNITY
07770.p ARG_CLOG
07771.p CONTINUOUS_AT_ARG
07772.p CONTINUOUS_WITHIN_UPPERHALF_ARG
07773.p OPEN_ARG_LTT
07774.p OPEN_ARG_GT
07775.p CLOSED_ARG_LE
07776.p ARG_ATAN_UPPERHALF
07777.p ROOT_0
07780.p ROOT_WORKS
07781.p REAL_POW_ROOT
07782.p ROOT_POS_LE
07783.p ROOT_POS_LT
07784.p REAL_ROOT_POW
07785.p ROOT_UNIQUE
07786.p REAL_ROOT_MUL
07787.p REAL_ROOT_INV
07789.p ROOT_MONO_LT
07790.p ROOT_MONO_LE
07792.p ROOT_MONO_LE_EQ
07796.p LOG_ROOT
07797.p ROOT_EXP_LOG
07798.p RPOW_POW
07800.p RPOW_ZERO
07801.p RPOW_POS_LT
07802.p RPOW_POS_LE
07803.p RPOW_LT2
07804.p RPOW_LE2
07805.p REAL_ABS_RPOW
07806.p RPOW_ONE
07807.p RPOW_RPOW
07808.p RPOW_LNEG
07810.p RPOW_MUL
07811.p RPOW_INV
07812.p REAL_INV_RPOW
07813.p RPOW_ADD
07816.p RPOW_MONO
07825.p Hypermap.LE_PLUS
07828.p REAL_OPEN_EMPTY
07829.p REAL_OPEN_UNIV
07830.p REAL_OPEN_INTER
07831.p REAL_OPEN_UNIONS
07832.p REAL_OPEN_IN
07833.p TOPSPACE_EUCLIDEANREAL
07835.p REAL_CLOSED_IN
07838.p REAL_CLOSED_EMPTY
07839.p REAL_CLOSED_UNIV
07840.p REAL_CLOSED_UNION
07841.p REAL_CLOSED_INTER
07848.p REAL_OPEN
07849.p REAL_CLOSED
07850.p REAL_CLOSED_HALFSPACE_LE
07851.p REAL_CLOSED_HALFSPACE_GE
07852.p REAL_OPEN_HALFSPACE_LT
07853.p REAL_OPEN_HALFSPACE_GT
07854.p REAL_BOUNDED
07855.p REAL_BOUNDED_POS
07856.p REAL_BOUNDED_POS_LT
07857.p REAL_BOUNDED_SUBSET
07859.p REAL_COMPACT_IMP_BOUNDED
07861.p REAL_COMPACT_EQ_BOUNDED_CLOSED
07865.p TENDSTO_REAL
07866.p REAL_TENDSTO
07867.p REALLIM_COMPLEX
07868.p REALLIM_UNIQUE
07869.p REALLIM_CONST
07870.p REALLIM_LMUL
07871.p REALLIM_RMUL
07872.p REALLIM_LMUL_EQ
07873.p REALLIM_RMUL_EQ
07874.p REALLIM_NEG
07875.p REALLIM_NEG_EQ
07876.p REALLIM_ADD
07877.p REALLIM_SUB
07878.p REALLIM_MUL
07879.p REALLIM_INV
07880.p REALLIM_DIV
07881.p REALLIM_ABS
07882.p REALLIM_POW
07883.p REALLIM_MAX
07884.p REALLIM_MIN
07885.p REALLIM_NULL
07889.p REALLIM_NULL_POW
07892.p REALLIM_RE
07893.p REALLIM_IM
07894.p REALLIM_TRANSFORM_EVENTUALLY
07895.p REALLIM_TRANSFORM
07897.p REAL_SEQ_OFFSET
07900.p REALLIM_TRANSFORM_BOUND
07901.p REAL_CONVERGENT_IMP_BOUNDED
07902.p REALLIM
07903.p REALLIM_NULL_ABS
07905.p REALLIM_WITHIN
07906.p REALLIM_AT
07908.p REALLIM_SEQUENTIALLY
07910.p LIM_COMPONENTWISE
07911.p REALLIM_UBOUND
07912.p REALLIM_LBOUND
07913.p REALLIM_LE
07917.p REAL_SUMS
07920.p REAL_SUMS_COMPLEX
07921.p REAL_SUMMABLE
07922.p REAL_SUMMABLE_COMPLEX
07923.p REAL_SERIES_CAUCHY
07924.p REAL_SUMS_EQ
07926.p REAL_SUMS_INFSUM
07927.p REAL_INFSUM_COMPLEX
07929.p REAL_SERIES_UNIQUE
07930.p REAL_INFSUM_UNIQUE
07931.p REAL_SERIES_FINITE
07932.p REAL_SUMMABLE_IFF_EVENTUALLY
07934.p REAL_SUMMABLE_IFF_COFINITE
07935.p REAL_SUMMABLE_EQ_COFINITE
07941.p REAL_SERIES_0
07942.p REAL_SERIES_ADD
07943.p REAL_SERIES_SUB
07944.p REAL_SERIES_LMUL
07945.p REAL_SERIES_RMUL
07946.p REAL_SERIES_NEG
07947.p REAL_SUMS_IFF
07948.p REAL_SERIES_FINITE_SUPPORT
07950.p REAL_SERIES_TRIVIAL
07951.p REAL_SERIES_RESTRICT
07955.p REAL_INFSUM
07965.p REAL_SERIES_SUBSET
07968.p REAL_SUMMABLE_RESTRICT
07969.p REAL_SUMS_FINITE_DIFF
07970.p REAL_SUMS_FINITE_UNION
07981.p REAL_SERIES_CAUCHY_UNIFORM
07982.p REAL_SERIES_COMPARISON
07983.p REAL_SUMMABLE_COMPARISON
07998.p ATREAL
07999.p AT_POSINFINITY
08000.p AT_NEGINFINITY
08001.p TRIVIAL_LIMIT_ATREAL
08002.p TRIVIAL_LIMIT_AT_POSINFINITY
08003.p TRIVIAL_LIMIT_AT_NEGINFINITY
08004.p NETLIMIT_WITHINREAL
08005.p NETLIMIT_ATREAL
08006.p EVENTUALLY_WITHINREAL_LE
08007.p EVENTUALLY_WITHINREAL
08008.p EVENTUALLY_ATREAL
08009.p EVENTUALLY_AT_POSINFINITY
08010.p EVENTUALLY_AT_NEGINFINITY
08012.p LIM_WITHINREAL
08013.p LIM_ATREAL
08014.p LIM_AT_POSINFINITY
08015.p LIM_AT_NEGINFINITY
08017.p REALLIM_WITHINREAL
08018.p REALLIM_ATREAL
08022.p REALLIM_ATREAL_WITHINREAL
08023.p REALLIM_WITHIN_SUBSET
08024.p REALLIM_WITHINREAL_SUBSET
08025.p LIM_WITHINREAL_SUBSET
08031.p TRIVIAL_LIMIT_WITHINREAL_WITHIN
08032.p TRIVIAL_LIMIT_WITHINREAL_WITHINCOMPLEX
08033.p LIM_WITHINREAL_WITHINCOMPLEX
08034.p LIM_ATREAL_ATCOMPLEX
08035.p LIM_WITHINREAL_WITHIN
08036.p LIM_ATREAL_AT
08037.p REALLIM_WITHINREAL_WITHIN
08038.p REALLIM_ATREAL_AT
08040.p LIM_WITHIN_REAL_OPEN
08041.p REALLIM_WITHIN_REAL_OPEN
08043.p REAL_CONTINUOUS_TRIVIAL_LIMIT
08044.p REAL_CONTINUOUS_WITHIN
08045.p REAL_CONTINUOUS_AT
08046.p REAL_CONTINUOUS_WITHINREAL
08047.p REAL_CONTINUOUS_ATREAL
08048.p CONTINUOUS_WITHINREAL
08049.p CONTINUOUS_ATREAL
08050.p real_continuous_within
08051.p real_continuous_at
08052.p real_continuous_withinreal
08053.p real_continuous_atreal
08054.p REAL_CONTINUOUS_AT_WITHIN
08055.p REAL_CONTINUOUS_ATREAL_WITHINREAL
08056.p REAL_CONTINUOUS_WITHINREAL_SUBSET
08059.p continuous_withinreal
08060.p continuous_atreal
08061.p CONTINUOUS_ATREAL_WITHINREAL
08062.p CONTINUOUS_CX_ATREAL
08064.p REAL_CONTINUOUS_CONST
08065.p REAL_CONTINUOUS_LMUL
08066.p REAL_CONTINUOUS_RMUL
08067.p REAL_CONTINUOUS_NEG
08068.p REAL_CONTINUOUS_ADD
08069.p REAL_CONTINUOUS_SUB
08070.p REAL_CONTINUOUS_MUL
08071.p REAL_CONTINUOUS_INV
08072.p REAL_CONTINUOUS_DIV
08073.p REAL_CONTINUOUS_POW
08074.p REAL_CONTINUOUS_ABS
08077.p REAL_CONTINUOUS_WITHIN_ID
08078.p REAL_CONTINUOUS_AT_ID
08079.p REAL_CONTINUOUS_INV_WITHIN
08081.p REAL_CONTINUOUS_INV_WITHINREAL
08083.p REAL_CONTINUOUS_DIV_WITHIN
08085.p REAL_CONTINUOUS_DIV_WITHINREAL
08086.p REAL_CONTINUOUS_DIV_ATREAL
08087.p REAL_CONTINUOUS_WITHINREAL_COMPOSE
08088.p REAL_CONTINUOUS_ATREAL_COMPOSE
08089.p REAL_CONTINUOUS_WITHIN_COMPOSE
08090.p REAL_CONTINUOUS_AT_COMPOSE
08091.p REAL_CONTINUOUS_CONTINUOUS_WITHIN_COMPOSE
08092.p REAL_CONTINUOUS_CONTINUOUS_AT_COMPOSE
08093.p REAL_CONTINUOUS_CONTINUOUS_WITHINREAL_COMPOSE
08094.p REAL_CONTINUOUS_CONTINUOUS_ATREAL_COMPOSE
08095.p CONTINUOUS_REAL_CONTINUOUS_WITHINREAL_COMPOSE
08096.p CONTINUOUS_REAL_CONTINUOUS_ATREAL_COMPOSE
08097.p CONTINUOUS_WITHINREAL_COMPOSE
08098.p CONTINUOUS_ATREAL_COMPOSE
08099.p CONTINUOUS_REAL_CONTINUOUS_WITHIN_COMPOSE
08101.p REAL_CONTINUOUS_ON_EQ_CONTINUOUS_WITHIN
08102.p REAL_CONTINUOUS_ON_SUBSET
08103.p REAL_CONTINUOUS_ON_COMPOSE
08104.p REAL_CONTINUOUS_ON
08105.p REAL_CONTINUOUS_ON_CONST
08106.p REAL_CONTINUOUS_ON_ID
08107.p REAL_CONTINUOUS_ON_LMUL
08108.p REAL_CONTINUOUS_ON_RMUL
08109.p REAL_CONTINUOUS_ON_NEG
08110.p REAL_CONTINUOUS_ON_ADD
08111.p REAL_CONTINUOUS_ON_SUB
08112.p REAL_CONTINUOUS_ON_MUL
08113.p REAL_CONTINUOUS_ON_POW
08114.p REAL_CONTINUOUS_ON_EQ
08115.p REAL_CONTINUOUS_ON_UNION
08119.p LIM_REAL_CONTINUOUS_FUNCTION
08120.p REALLIM_REAL_CONTINUOUS_FUNCTION
08121.p REAL_CONTINUOUS_ON_EQ_REAL_CONTINUOUS_AT
08123.p REAL_CONTINUOUS_ATTAINS_INF
08124.p REAL_UNIFORMLY_CONTINUOUS_ON
08126.p REAL_UNIFORMLY_CONTINUOUS_ON_SEQUENTIALLY
08130.p REAL_UNIFORMLY_CONTINUOUS_ON_LMUL
08137.p REAL_COMPACT_UNIFORMLY_CONTINUOUS
08138.p REAL_COMPACT_CONTINUOUS_IMAGE
08140.p CONTINUOUS_COMPONENTWISE
08141.p REAL_CONTINUOUS_COMPLEX_COMPONENTS_AT
08143.p REAL_CONTINUOUS_NORM_AT
08144.p REAL_CONTINUOUS_NORM_WITHIN
08145.p HAS_REAL_DERIVATIVE_WITHINREAL
08146.p HAS_REAL_DERIVATIVE_ATREAL
08147.p HAS_REAL_FRECHET_DERIVATIVE_WITHIN
08148.p HAS_REAL_FRECHET_DERIVATIVE_AT
08149.p HAS_REAL_VECTOR_DERIVATIVE_WITHIN
08150.p HAS_REAL_VECTOR_DERIVATIVE_AT
08151.p HAS_REAL_COMPLEX_DERIVATIVE_WITHIN
08152.p HAS_REAL_COMPLEX_DERIVATIVE_AT
08153.p REAL_DIFFERENTIABLE_ON_DIFFERENTIABLE
08154.p REAL_DIFFERENTIABLE_ON_REAL_OPEN
08157.p HAS_COMPLEX_REAL_DERIVATIVE_WITHIN_GEN
08158.p HAS_COMPLEX_REAL_DERIVATIVE_AT_GEN
08159.p HAS_COMPLEX_REAL_DERIVATIVE_WITHIN
08160.p HAS_COMPLEX_REAL_DERIVATIVE_AT
08161.p IS_REALINTERVAL_IS_INTERVAL
08162.p IS_REALINTERVAL_CONVEX
08163.p IS_REALINTERVAL_CONNECTED
08164.p TRIVIAL_LIMIT_WITHIN_REALINTERVAL
08167.p IS_REALINTERVAL_UNIV
08169.p IMAGE_LIFT_DROP_conjunct1
08170.p IMAGE_LIFT_DROP_conjunct0
08171.p IS_REALINTERVAL_CONVEX_COMPLEX
08174.p IN_REAL_INTERVAL
08175.p REAL_INTERVAL_INTERVAL_conjunct1
08176.p REAL_INTERVAL_INTERVAL_conjunct0
08177.p EMPTY_AS_REAL_INTERVAL
08178.p INTERVAL_REAL_INTERVAL_conjunct1
08179.p INTERVAL_REAL_INTERVAL_conjunct0
08180.p SUBSET_REAL_INTERVAL
08181.p REAL_INTERVAL_OPEN_SUBSET_CLOSED
08182.p REAL_INTERVAL_EQ_EMPTY_conjunct1
08183.p REAL_INTERVAL_EQ_EMPTY_conjunct0
08184.p REAL_OPEN_CLOSED_INTERVAL
08186.p IMAGE_LIFT_REAL_INTERVAL_conjunct1
08187.p IMAGE_LIFT_REAL_INTERVAL_conjunct0
08188.p REAL_CLOSED_REAL_INTERVAL
08189.p REAL_OPEN_REAL_INTERVAL
08190.p REAL_INTERVAL_SING
08191.p REAL_COMPACT_INTERVAL
08192.p IS_REALINTERVAL_INTERVAL
08194.p IMAGE_AFFINITY_REAL_INTERVAL
08197.p REAL_INTERVAL_TRANSLATION_conjunct0
08198.p REAL_CONTINUOUS_CONTINUOUS
08199.p REAL_CONTINUOUS_CONTINUOUS1
08200.p REAL_CONTINUOUS_CONTINUOUS_ATREAL
08201.p REAL_CONTINUOUS_CONTINUOUS_WITHINREAL
08202.p REAL_COMPLEX_CONTINUOUS_WITHINREAL
08203.p REAL_COMPLEX_CONTINUOUS_ATREAL
08204.p HAS_REAL_DERIVATIVE_IMP_CONTINUOUS_WITHINREAL
08205.p REAL_DIFFERENTIABLE_IMP_CONTINUOUS_WITHINREAL
08206.p HAS_REAL_DERIVATIVE_IMP_CONTINUOUS_ATREAL
08207.p REAL_DIFFERENTIABLE_IMP_CONTINUOUS_ATREAL
08208.p REAL_DIFFERENTIABLE_ON_IMP_REAL_CONTINUOUS_ON
08209.p REAL_CONTINUOUS_AT_COMPONENT
08210.p REAL_CONTINUOUS_AT_TRANSLATION
08211.p REAL_CONTINUOUS_AT_LINEAR_IMAGE
08212.p REAL_CONTINUOUS_AT_ARG
08213.p HAS_REAL_DERIVATIVE_WITHIN_SUBSET
08216.p HAS_REAL_DERIVATIVE_ATREAL_WITHIN
08217.p HAS_REAL_DERIVATIVE_WITHIN_REAL_OPEN
08218.p REAL_DIFFERENTIABLE_ATREAL_WITHIN
08219.p HAS_REAL_DERIVATIVE_TRANSFORM_WITHIN
08220.p HAS_REAL_DERIVATIVE_TRANSFORM_ATREAL
08221.p HAS_REAL_DERIVATIVE_ZERO_CONSTANT
08223.p REAL_DIFF_CHAIN_WITHIN
08224.p REAL_DIFF_CHAIN_ATREAL
08225.p HAS_REAL_DERIVATIVE_CHAIN
08226.p HAS_REAL_DERIVATIVE_CHAIN_UNIV
08227.p REAL_DERIVATIVE_UNIQUE_ATREAL
08230.p HAS_REAL_DERIVATIVE_LMUL_WITHIN
08231.p HAS_REAL_DERIVATIVE_LMUL_ATREAL
08232.p HAS_REAL_DERIVATIVE_RMUL_WITHIN
08233.p HAS_REAL_DERIVATIVE_RMUL_ATREAL
08234.p HAS_REAL_DERIVATIVE_CDIV_WITHIN
08236.p HAS_REAL_DERIVATIVE_ID
08237.p HAS_REAL_DERIVATIVE_CONST
08238.p HAS_REAL_DERIVATIVE_NEG
08239.p HAS_REAL_DERIVATIVE_ADD
08240.p HAS_REAL_DERIVATIVE_SUB
08241.p HAS_REAL_DERIVATIVE_MUL_WITHIN
08242.p HAS_REAL_DERIVATIVE_MUL_ATREAL
08243.p HAS_REAL_DERIVATIVE_POW_WITHIN
08244.p HAS_REAL_DERIVATIVE_POW_ATREAL
08245.p HAS_REAL_DERIVATIVE_INV_BASIC
08246.p HAS_REAL_DERIVATIVE_INV_WITHIN
08247.p HAS_REAL_DERIVATIVE_INV_ATREAL
08248.p HAS_REAL_DERIVATIVE_DIV_WITHIN
08249.p HAS_REAL_DERIVATIVE_DIV_ATREAL
08250.p HAS_REAL_DERIVATIVE_SUM
08251.p REAL_DIFFERENTIABLE_CONST
08252.p REAL_DIFFERENTIABLE_ID
08253.p REAL_DIFFERENTIABLE_NEG
08254.p REAL_DIFFERENTIABLE_ADD
08255.p REAL_DIFFERENTIABLE_SUB
08256.p REAL_DIFFERENTIABLE_INV_WITHIN
08257.p REAL_DIFFERENTIABLE_MUL_WITHIN
08258.p REAL_DIFFERENTIABLE_DIV_WITHIN
08259.p REAL_DIFFERENTIABLE_POW_WITHIN
08260.p REAL_DIFFERENTIABLE_TRANSFORM_WITHIN
08261.p REAL_DIFFERENTIABLE_TRANSFORM
08267.p REAL_DIFFERENTIABLE_TRANSFORM_ATREAL
08268.p REAL_DIFFERENTIABLE_COMPOSE_WITHIN
08270.p REAL_DIFFERENTIABLE_ON_CONST
08271.p REAL_DIFFERENTIABLE_ON_ID
08274.p REAL_DIFFERENTIABLE_ON_ADD
08275.p REAL_DIFFERENTIABLE_ON_SUB
08276.p REAL_DIFFERENTIABLE_ON_MUL
08281.p HAS_REAL_DERIVATIVE_EXP
08282.p REAL_DIFFERENTIABLE_AT_EXP
08284.p REAL_CONTINUOUS_AT_EXP
08285.p REAL_CONTINUOUS_WITHIN_EXP
08287.p HAS_REAL_DERIVATIVE_SIN
08288.p REAL_DIFFERENTIABLE_AT_SIN
08290.p REAL_CONTINUOUS_AT_SIN
08291.p REAL_CONTINUOUS_WITHIN_SIN
08293.p HAS_REAL_DERIVATIVE_COS
08294.p REAL_DIFFERENTIABLE_AT_COS
08296.p REAL_CONTINUOUS_AT_COS
08297.p REAL_CONTINUOUS_WITHIN_COS
08299.p HAS_REAL_DERIVATIVE_TAN
08300.p REAL_DIFFERENTIABLE_AT_TAN
08302.p REAL_CONTINUOUS_AT_TAN
08303.p REAL_CONTINUOUS_WITHIN_TAN
08305.p HAS_REAL_DERIVATIVE_LOG
08306.p REAL_DIFFERENTIABLE_AT_LOG
08308.p REAL_CONTINUOUS_AT_LOG
08309.p REAL_CONTINUOUS_WITHIN_LOG
08311.p HAS_REAL_DERIVATIVE_SQRT
08312.p REAL_DIFFERENTIABLE_AT_SQRT
08314.p REAL_CONTINUOUS_AT_SQRT
08317.p REAL_DIFFERENTIABLE_AT_ATN
08319.p REAL_CONTINUOUS_AT_ATN
08320.p REAL_CONTINUOUS_WITHIN_ATN
08321.p REAL_CONTINUOUS_ON_ATN
08322.p HAS_REAL_DERIVATIVE_ASN_COS
08323.p HAS_REAL_DERIVATIVE_ASN
08324.p REAL_DIFFERENTIABLE_AT_ASN
08326.p REAL_CONTINUOUS_AT_ASN
08328.p HAS_REAL_DERIVATIVE_ACS_SIN
08329.p HAS_REAL_DERIVATIVE_ACS
08330.p REAL_DIFFERENTIABLE_AT_ACS
08332.p REAL_CONTINUOUS_AT_ACS
08334.p REAL_CONTINUOUS_WITHIN_SQRT_STRONG
08335.p REAL_CONTINUOUS_ON_SQRT
08336.p REAL_CONTINUOUS_WITHIN_ASN_STRONG
08337.p REAL_CONTINUOUS_ON_ASN
08338.p REAL_CONTINUOUS_WITHIN_ACS_STRONG
08340.p HAS_REAL_DERIVATIVE_RPOW
08341.p REAL_DIFFERENTIABLE_AT_RPOW
08342.p REAL_CONTINUOUS_AT_RPOW
08343.p REAL_CONTINUOUS_WITHIN_RPOW
08346.p REALLIM_NULL_POW_EQ
08348.p REAL_IVT_INCREASING
08349.p REAL_IVT_DECREASING
08351.p REAL_INTERVAL_NE_EMPTY_conjunct1
08352.p REAL_INTERVAL_NE_EMPTY_conjunct0
08353.p ENDS_IN_REAL_INTERVAL_conjunct3
08354.p ENDS_IN_REAL_INTERVAL_conjunct2
08355.p ENDS_IN_REAL_INTERVAL_conjunct1
08356.p ENDS_IN_REAL_INTERVAL_conjunct0
08357.p REAL_DERIVATIVE_POS_LEFT_MINIMUM
08360.p REAL_DERIVATIVE_NEG_RIGHT_MINIMUM
08361.p REAL_DERIVATIVE_ZERO_MAXMIN
08362.p REAL_ROLLE
08363.p REAL_MVT
08364.p REAL_MVT_SIMPLE
08365.p REAL_MVT_VERY_SIMPLE
08366.p REAL_ROLLE_SIMPLE
08367.p REAL_MVT_CAUCHY
08369.p REAL_DERIVATIVE_IVT_INCREASING
08375.p HAS_REAL_DERIVATIVE_SEQUENCE
08378.p REAL_TAYLOR_MVT_POS
08379.p REAL_TAYLOR_MVT_NEG
08380.p REAL_TAYLOR
08381.p REAL_SUM_INTEGRAL_UBOUND_INCREASING
08382.p REAL_SUM_INTEGRAL_UBOUND_DECREASING
08383.p REAL_SUM_INTEGRAL_LBOUND_INCREASING
08384.p REAL_SUM_INTEGRAL_LBOUND_DECREASING
08387.p LIM_POSINFINITY_SEQUENTIALLY
08389.p LIM_ZERO_POSINFINITY
08390.p LIM_ZERO_NEGINFINITY
08395.p REAL_SEGMENT_SEGMENT_conjunct1
08396.p REAL_SEGMENT_SEGMENT_conjunct0
08398.p REAL_CONVEX_ON
08399.p REAL_CONVEX_ON_SUBSET
08401.p REAL_CONVEX_LMUL
08414.p REAL_CONVEX_ON_DERIVATIVES_IMP
08416.p REAL_SEGMENT_INTERVAL_conjunct0
08419.p REAL_CONVEX_ON_SECANT_DERIVATIVE
08420.p REAL_CONVEX_ON_DERIVATIVES
08421.p REAL_CONVEX_ON_DERIVATIVE_INCREASING
08422.p HAS_REAL_DERIVATIVE_INCREASING_IMP
08423.p HAS_REAL_DERIVATIVE_INCREASING
08425.p REAL_CONVEX_ON_ASYM
08428.p HAS_REAL_INTEGRAL
08429.p REAL_INTEGRABLE_INTEGRAL
08430.p HAS_REAL_INTEGRAL_INTEGRABLE
08431.p HAS_REAL_INTEGRAL_INTEGRAL
08432.p HAS_REAL_INTEGRAL_UNIQUE
08433.p REAL_INTEGRAL_UNIQUE
08434.p HAS_REAL_INTEGRAL_INTEGRABLE_INTEGRAL
08436.p REAL_INTEGRABLE_ON
08437.p ABSOLUTELY_REAL_INTEGRABLE_ON
08438.p REAL_INTEGRAL
08439.p HAS_REAL_INTEGRAL_IS_0
08440.p HAS_REAL_INTEGRAL_0
08442.p HAS_REAL_INTEGRAL_LINEAR
08443.p HAS_REAL_INTEGRAL_LMUL
08444.p HAS_REAL_INTEGRAL_RMUL
08445.p HAS_REAL_INTEGRAL_NEG
08446.p HAS_REAL_INTEGRAL_ADD
08447.p HAS_REAL_INTEGRAL_SUB
08448.p REAL_INTEGRAL_0
08453.p REAL_INTEGRAL_SUB
08454.p REAL_INTEGRABLE_0
08456.p REAL_INTEGRABLE_LMUL
08457.p REAL_INTEGRABLE_RMUL
08458.p REAL_INTEGRABLE_NEG
08459.p REAL_INTEGRABLE_SUB
08460.p REAL_INTEGRABLE_LINEAR
08462.p HAS_REAL_INTEGRAL_SUM
08463.p REAL_INTEGRAL_SUM
08464.p REAL_INTEGRABLE_SUM
08465.p HAS_REAL_INTEGRAL_EQ
08466.p REAL_INTEGRABLE_EQ
08468.p HAS_REAL_INTEGRAL_NULL
08472.p HAS_REAL_INTEGRAL_EMPTY
08476.p HAS_REAL_INTEGRAL_REFL
08479.p HAS_REAL_INTEGRAL_CONST
08480.p REAL_INTEGRABLE_CONST
08483.p HAS_REAL_INTEGRAL_LE
08484.p REAL_INTEGRAL_LE
08485.p HAS_REAL_INTEGRAL_POS
08488.p HAS_REAL_INTEGRAL_LBOUND
08489.p HAS_REAL_INTEGRAL_UBOUND
08493.p HAS_REAL_INTEGRAL_NEGLIGIBLE
08494.p HAS_REAL_INTEGRAL_SPIKE
08495.p HAS_REAL_INTEGRAL_SPIKE_EQ
08497.p REAL_INTEGRAL_SPIKE
08498.p REAL_NEGLIGIBLE_SUBSET
08501.p REAL_NEGLIGIBLE_UNION
08504.p REAL_NEGLIGIBLE_INSERT
08505.p REAL_NEGLIGIBLE_EMPTY
08506.p REAL_NEGLIGIBLE_FINITE
08507.p REAL_NEGLIGIBLE_UNIONS
08508.p HAS_REAL_INTEGRAL_SPIKE_FINITE
08511.p REAL_NEGLIGIBLE_FRONTIER_INTERVAL
08512.p HAS_REAL_INTEGRAL_SPIKE_INTERIOR
08515.p REAL_INTEGRAL_EQ
08518.p REAL_FUNDAMENTAL_THEOREM_OF_CALCULUS
08519.p REAL_INTEGRABLE_SUBINTERVAL
08520.p HAS_REAL_INTEGRAL_COMBINE
08524.p REAL_INTEGRAL_HAS_REAL_DERIVATIVE
08525.p REAL_ANTIDERIVATIVE_CONTINUOUS
08527.p HAS_REAL_INTEGRAL_AFFINITY
08529.p HAS_REAL_INTEGRAL_STRETCH
08531.p HAS_REAL_INTEGRAL_REFLECT_LEMMA
08532.p HAS_REAL_INTEGRAL_REFLECT
08535.p REAL_FUNDAMENTAL_THEOREM_OF_CALCULUS_INTERIOR
08536.p REAL_FUNDAMENTAL_THEOREM_OF_CALCULUS_INTERIOR_STRONG
08543.p HAS_REAL_INTEGRAL_RESTRICT
08544.p HAS_REAL_INTEGRAL_RESTRICT_UNIV
08545.p HAS_REAL_INTEGRAL_SPIKE_SET_EQ
08547.p REAL_INTEGRABLE_SPIKE_SET
08548.p REAL_INTEGRABLE_SPIKE_SET_EQ
08549.p REAL_INTEGRAL_SPIKE_SET
08550.p HAS_REAL_INTEGRAL_OPEN_INTERVAL
08553.p HAS_REAL_INTEGRAL_ON_SUPERSET
08555.p REAL_INTEGRABLE_RESTRICT_UNIV
08558.p HAS_REAL_INTEGRAL_RESTRICT_INTER
08562.p HAS_REAL_INTEGRAL_SUBSET_LE
08564.p REAL_INTEGRABLE_ON_SUBINTERVAL
08565.p REAL_INTEGRABLE_STRADDLE
08566.p HAS_REAL_INTEGRAL_STRADDLE_NULL
08569.p REAL_MONOTONE_CONVERGENCE_INCREASING
08575.p REAL_INTEGRAL_ABS_BOUND_INTEGRAL
08577.p ABSOLUTELY_REAL_INTEGRABLE_0
08578.p ABSOLUTELY_REAL_INTEGRABLE_CONST
08579.p ABSOLUTELY_REAL_INTEGRABLE_LMUL
08582.p ABSOLUTELY_REAL_INTEGRABLE_ABS
08585.p ABSOLUTELY_REAL_INTEGRABLE_ADD
08586.p ABSOLUTELY_REAL_INTEGRABLE_SUB
08589.p ABSOLUTELY_REAL_INTEGRABLE_MAX
08590.p ABSOLUTELY_REAL_INTEGRABLE_MIN
08591.p ABSOLUTELY_REAL_INTEGRABLE_IMP_INTEGRABLE
08594.p ABSOLUTELY_REAL_INTEGRABLE_INTEGRABLE_BOUND
08601.p HAS_REAL_MEASURE_MEASURE
08602.p HAS_REAL_MEASURE_UNIQUE
08603.p REAL_MEASURE_UNIQUE
08604.p HAS_REAL_MEASURE_REAL_MEASURABLE_REAL_MEASURE
08606.p HAS_REAL_MEASURE
08608.p REAL_MEASURABLE_REAL_INTEGRABLE
08611.p REAL_INTEGRAL_REAL_MEASURE
08612.p REAL_INTEGRAL_REAL_MEASURE_UNIV
08613.p HAS_REAL_MEASURE_HAS_MEASURE
08614.p REAL_MEASURABLE_MEASURABLE
08615.p REAL_MEASURE_MEASURE
08616.p HAS_REAL_MEASURE_REAL_INTERVAL_conjunct1
08617.p HAS_REAL_MEASURE_REAL_INTERVAL_conjunct0
08620.p REAL_MEASURABLE_INTER
08621.p REAL_MEASURABLE_UNION
08622.p HAS_REAL_MEASURE_DISJOINT_UNION
08623.p REAL_MEASURE_DISJOINT_UNION
08624.p HAS_REAL_MEASURE_POS_LE
08625.p REAL_MEASURE_POS_LE
08626.p HAS_REAL_MEASURE_SUBSET
08627.p REAL_MEASURE_SUBSET
08628.p HAS_REAL_MEASURE_0
08629.p REAL_MEASURE_EQ_0
08630.p HAS_REAL_MEASURE_EMPTY
08631.p REAL_MEASURE_EMPTY
08633.p REAL_MEASURABLE_REAL_MEASURE_EQ_0
08636.p REAL_MEASURABLE_UNIONS
08637.p HAS_REAL_MEASURE_DIFF_SUBSET
08638.p REAL_MEASURABLE_DIFF
08644.p HAS_REAL_MEASURE_ALMOST
08647.p HAS_REAL_MEASURE_REAL_NEGLIGIBLE_UNION
08649.p HAS_REAL_MEASURE_REAL_NEGLIGIBLE_SYMDIFF
08652.p HAS_REAL_MEASURE_REAL_NEGLIGIBLE_UNIONS
08654.p HAS_REAL_MEASURE_DISJOINT_UNIONS
08656.p HAS_REAL_MEASURE_REAL_NEGLIGIBLE_UNIONS_IMAGE
08658.p HAS_REAL_MEASURE_DISJOINT_UNIONS_IMAGE
08660.p HAS_REAL_MEASURE_REAL_NEGLIGIBLE_UNIONS_IMAGE_STRONG
08662.p HAS_REAL_MEASURE_DISJOINT_UNIONS_IMAGE_STRONG
08665.p REAL_MEASURE_UNION_LE
08666.p REAL_MEASURE_UNIONS_LE
08667.p REAL_MEASURE_UNIONS_LE_IMAGE
08668.p REAL_MEASURABLE_INNER_OUTER
08669.p HAS_REAL_MEASURE_INNER_OUTER
08671.p HAS_REAL_MEASURE_AFFINITY
08672.p HAS_REAL_MEASURE_SCALING
08673.p HAS_REAL_MEASURE_TRANSLATION
08675.p HAS_REAL_MEASURE_TRANSLATION_EQ
08681.p REAL_MEASURABLE_SCALING
08684.p HAS_REAL_MEASURE_NESTED_UNIONS
08685.p REAL_MEASURABLE_NESTED_UNIONS
08686.p HAS_REAL_MEASURE_COUNTABLE_REAL_NEGLIGIBLE_UNIONS
08687.p REAL_NEGLIGIBLE_COUNTABLE_UNIONS
08688.p REAL_MEASURABLE_COUNTABLE_UNIONS_STRONG
08693.p REAL_NEGLIGIBLE_COUNTABLE
08694.p REAL_MEASURABLE_COMPACT
08697.p DROPOUT_PUSHIN
08698.p PUSHIN_DROPOUT
08699.p DROPOUT_GALOIS
08700.p IN_IMAGE_DROPOUT
08702.p IMAGE_DROPOUT_CLOSED_INTERVAL
08703.p LINEAR_DROPOUT
08704.p DROPOUT_EQ
08705.p DROPOUT_0
08706.p DOT_DROPOUT
08707.p DOT_PUSHIN
08708.p DROPOUT_ADD
08709.p DROPOUT_SUB
08710.p DROPOUT_MUL
08711.p IN_SLICE
08712.p INTERVAL_INTER_HYPERPLANE
08713.p SLICE_INTERVAL
08714.p SLICE_DIFF
08715.p SLICE_UNIV
08716.p SLICE_EMPTY
08717.p SLICE_SUBSET
08718.p SLICE_UNIONS
08720.p SLICE_INTER
08721.p CONVEX_SLICE
08722.p COMPACT_SLICE
08723.p CLOSED_SLICE
08724.p OPEN_SLICE
08726.p SLICE_CBALL
08727.p SLICE_BALL
08728.p FUBINI_CLOSED_INTERVAL
08729.p MEASURABLE_OUTER_INTERVALS_BOUNDED_EXPLICIT_SPECIAL
08730.p REAL_MONOTONE_CONVERGENCE_INCREASING_AE
08731.p FUBINI_SIMPLE_LEMMA
08732.p FUBINI_SIMPLE
08733.p FUBINI_SIMPLE_ALT
08735.p FUBINI_SIMPLE_COMPACT
08736.p FUBINI_SIMPLE_CONVEX_STRONG
08737.p FUBINI_SIMPLE_CONVEX
08739.p FUBINI_SIMPLE_OPEN
08740.p REAL_OPEN_SET_RATIONAL
08742.p REAL_OPEN_SET_EXISTS_RATIONAL
08744.p CONTINUOUS_ON_CONST_DYADIC_RATIONALS
08745.p REAL_CONTINUOUS_ON_CONST_DYADIC_RATIONALS
08746.p CONTINUOUS_ADDITIVE_IMP_LINEAR
08747.p OSTROWSKI_THEOREM
08749.p REAL_CONTINUOUS_ADDITIVE_IMP_LINEAR
08750.p REAL_CONTINUOUS_FLOOR
08751.p REAL_CONTINUOUS_FRAC
08752.p REAL_CONTINUOUS_ON_COMPOSE_FRAC
08754.p REAL_CONTINUOUS_ADDITIVE_EXTEND
08755.p REAL_CONTINUOUS_ADDITIVE_IMP_LINEAR_INTERVAL
08756.p DISCRETE_IMP_COUNTABLE
08757.p UNCOUNTABLE_CONTAINS_LIMIT_POINT
08760.p BERNSTEIN_POS
08761.p SUM_BERNSTEIN
08762.p BERNSTEIN_LEMMA
08763.p BERNSTEIN_WEIERSTRASS
08764.p STONE_WEIERSTRASS_ALT
08765.p STONE_WEIERSTRASS
08766.p REAL_STONE_WEIERSTRASS_ALT
08768.p COMPLEX_STONE_WEIERSTRASS_ALT
08770.p REAL_CONTINUOUS_REAL_POLYMONIAL_FUNCTION
08771.p STONE_WEIERSTRASS_REAL_POLYNOMIAL_FUNCTION
08772.p CONTINUOUS_VECTOR_POLYNOMIAL_FUNCTION
08773.p CONTINUOUS_ON_VECTOR_POLYNOMIAL_FUNCTION
08775.p STONE_WEIERSTRASS_VECTOR_POLYNOMIAL_FUNCTION
08777.p PATH_APPROX_VECTOR_POLYNOMIAL_FUNCTION
08779.p LIPSCHITZ_REAL_POLYNOMIAL_FUNCTION
08781.p MEASURABLE_ON_COMPLEX_MUL
08782.p MEASURABLE_ON_COMPLEX_INV
08783.p MEASURABLE_ON_COMPLEX_DIV
08784.p REAL_MEASURABLE_ON_UNIV
08785.p REAL_LEBESGUE_MEASURABLE
08786.p REAL_MEASURABLE_BOUNDED_BY_INTEGRABLE_IMP_INTEGRABLE
08787.p REAL_MEASURABLE_BOUNDED_BY_INTEGRABLE_IMP_ABSOLUTELY_INTEGRABLE
08789.p INTEGRABLE_IMP_REAL_MEASURABLE
08791.p REAL_MEASURABLE_ON_COMPOSE_CONTINUOUS
08797.p REAL_MEASURABLE_ON_CONST
08798.p REAL_MEASURABLE_ON_0
08799.p REAL_MEASURABLE_ON_LMUL
08801.p REAL_MEASURABLE_ON_NEG
08802.p REAL_MEASURABLE_ON_NEG_EQ
08804.p REAL_MEASURABLE_ON_ADD
08809.p REAL_MEASURABLE_ON_RESTRICT
08811.p ABSOLUTELY_REAL_INTEGRABLE_BOUNDED_MEASURABLE_PRODUCT
08812.p REAL_COMPLEX_MEASURABLE_ON
08814.p REAL_MEASURABLE_ON_MUL
08816.p REAL_MEASURABLE_IMP_REAL_LEBESGUE_MEASURABLE
08817.p REAL_LEBESGUE_MEASURABLE_EMPTY
08818.p REAL_LEBESGUE_MEASURABLE_UNIV
08820.p REAL_MEASURABLE_REAL_INTERVAL_conjunct1
08821.p REAL_MEASURABLE_REAL_INTERVAL_conjunct0
08822.p REAL_LEBESGUE_MEASURABLE_INTER
08823.p REAL_LEBESGUE_MEASURABLE_UNION
08824.p REAL_LEBESGUE_MEASURABLE_COMPL
08827.p REAL_LEBESGUE_MEASURABLE_CLOSED
08828.p REAL_LEBESGUE_MEASURABLE_OPEN
08830.p REAL_LEBESGUE_MEASURABLE_COUNTABLE_UNIONS_EXPLICIT
08831.p REAL_LEBESGUE_MEASURABLE_COUNTABLE_UNIONS
08832.p REAL_LEBESGUE_MEASURABLE_COUNTABLE_INTERS
08836.p REAL_MEASURABLE_ON_LEBESGUE_MEASURABLE_SUBSET
08841.p REAL_MEASURABLE_ON_PREIMAGE_OPEN_HALFSPACE_LE
08846.p REAL_MEASURABLE_ON_PREIMAGE_OPEN
08847.p REAL_MEASURABLE_ON_PREIMAGE_CLOSED
08852.p REAL_SECOND_MEAN_VALUE_THEOREM_FULL
08854.p REAL_SECOND_MEAN_VALUE_THEOREM_GEN_FULL
08856.p REAL_SECOND_MEAN_VALUE_THEOREM_BONNET_FULL
08864.p REAL_MEASURABLE_ON_INCREASING_UNIV
08866.p REAL_LEBESGUE_MEASURABLE_INTERVAL_conjunct0
08867.p REAL_MEASURABLE_ON_INCREASING
08869.p REAL_MEASURABLE_ON_DECREASING
08870.p ABSOLUTELY_REAL_INTEGRABLE_INCREASING_PRODUCT
08872.p ABSOLUTELY_REAL_INTEGRABLE_DECREASING_PRODUCT
08874.p HAS_BOUNDED_REAL_VARIATION_ON_SUBSET
08875.p HAS_BOUNDED_REAL_VARIATION_ON_LMUL
08885.p IMAGE_DROP_INTERVAL_conjunct1
08886.p IMAGE_DROP_INTERVAL_conjunct0
08890.p REAL_VARIATION_GE_ABS_FUNCTION
08892.p REAL_VARIATION_MONOTONE
08897.p REAL_VARIATION_MINUS_FUNCTION_MONOTONE
08909.p REAL_VARIATION_CONTINUOUS_LEFT
08910.p REAL_VARIATION_CONTINUOUS_RIGHT
08911.p REAL_VARIATION_CONTINUOUS
08922.p PYTHAGORAS
08923.p VECTOR_ANGLE_LINEAR_IMAGE_EQ
08924.p VECTOR_ANGLE_REFL
08925.p VECTOR_ANGLE_SYM
08926.p VECTOR_ANGLE_LMUL
08927.p VECTOR_ANGLE_RMUL
08928.p VECTOR_ANGLE_LNEG
08929.p VECTOR_ANGLE_RNEG
08930.p VECTOR_ANGLE_NEG2
08931.p VECTOR_ANGLE
08932.p VECTOR_ANGLE_RANGE
08933.p ORTHOGONAL_VECTOR_ANGLE
08934.p VECTOR_ANGLE_EQ_0
08935.p VECTOR_ANGLE_EQ_PI
08936.p VECTOR_ANGLE_EQ_0_DIST
08937.p VECTOR_ANGLE_EQ_PI_DIST
08938.p SIN_VECTOR_ANGLE_POS
08939.p SIN_VECTOR_ANGLE_EQ_0
08940.p ASN_SIN_VECTOR_ANGLE
08941.p SIN_VECTOR_ANGLE_EQ
08942.p CONTINUOUS_AT_CX_VECTOR_ANGLE
08943.p CONTINUOUS_WITHIN_CX_VECTOR_ANGLE
08944.p REAL_CONTINUOUS_AT_VECTOR_ANGLE
08945.p REAL_CONTINUOUS_WITHIN_VECTOR_ANGLE
08946.p CONTINUOUS_ON_CX_VECTOR_ANGLE
08947.p VECTOR_ANGLE_EQ
08948.p COS_VECTOR_ANGLE_EQ
08949.p COLLINEAR_VECTOR_ANGLE
08950.p COLLINEAR_SIN_VECTOR_ANGLE
08951.p COLLINEAR_SIN_VECTOR_ANGLE_IMP
08952.p VECTOR_ANGLE_EQ_0_RIGHT
08953.p VECTOR_ANGLE_EQ_0_LEFT
08954.p VECTOR_ANGLE_EQ_PI_RIGHT
08955.p VECTOR_ANGLE_EQ_PI_LEFT
08956.p COS_VECTOR_ANGLE
08957.p SIN_VECTOR_ANGLE
08958.p Trigonometry2.SIN_POW2_EQ_1_SUB_COS_POW2
08959.p SIN_SQUARED_VECTOR_ANGLE
08960.p VECTOR_ANGLE_COMPLEX_LMUL
08961.p VECTOR_ANGLE_1
08962.p ARG_EQ_VECTOR_ANGLE_1
08964.p ANGLE_LINEAR_IMAGE_EQ
08965.p ANGLE_TRANSLATION_EQ
08967.p ANGLE_EQ_PI_DIST
08968.p SIN_ANGLE_POS
08969.p ANGLE
08970.p ANGLE_REFL
08971.p ANGLE_REFL_MID
08972.p ANGLE_SYM
08973.p ANGLE_RANGE
08974.p COS_ANGLE_EQ
08975.p ANGLE_EQ
08976.p SIN_ANGLE_EQ_0
08978.p COLLINEAR_ANGLE
08979.p COLLINEAR_SIN_ANGLE
08980.p COLLINEAR_SIN_ANGLE_IMP
08981.p ANGLE_EQ_0_RIGHT
08982.p ANGLE_EQ_0_LEFT
08983.p ANGLE_EQ_PI_RIGHT
08984.p ANGLE_EQ_PI_LEFT
08985.p COS_ANGLE
08989.p LAW_OF_SINES
08990.p TRIANGLE_ANGLE_SUM_LEMMA
08991.p COS_MINUS1_LEMMA
08992.p TRIANGLE_ANGLE_SUM
08993.p ANGLE_EQ_PI_OTHERS
08994.p ANGLE_EQ_0_DIST
08996.p CONGRUENT_TRIANGLES_SSS
08997.p CONGRUENT_TRIANGLES_SAS
08998.p CONGRUENT_TRIANGLES_AAS
08999.p CONGRUENT_TRIANGLES_ASA
09001.p CONGRUENT_TRIANGLES_SAS_FULL
09003.p CONGRUENT_TRIANGLES_ASA_FULL
09004.p ANGLE_BETWEEN
09005.p BETWEEN_ANGLE
09006.p ANGLES_ALONG_LINE
09007.p ANGLES_ADD_BETWEEN
09008.p ORTHOGONAL_CROSS
09009.p CROSS_LZERO
09010.p CROSS_RZERO
09011.p CROSS_SKEW
09012.p CROSS_REFL
09013.p CROSS_LADD
09014.p CROSS_RADD
09015.p CROSS_LMUL
09016.p CROSS_RMUL
09017.p CROSS_LNEG
09018.p CROSS_RNEG
09020.p CROSS_LAGRANGE
09022.p CROSS_COMPONENTS
09023.p Trigonometry1.BASIS_3_conjunct1
09028.p Trigonometry1.BASIS_3_conjunct0
09033.p CROSS_DOT_CANCEL
09034.p NORM_CROSS_DOT
09035.p DOT_CROSS_DET
09036.p CROSS_CROSS_DET
09037.p DOT_CROSS
09038.p CROSS_EQ_0
09039.p NORM_AND_CROSS_EQ_0
09040.p CROSS_MATRIX_MUL
09041.p CROSS_ORTHOGONAL_MATRIX
09044.p CROSS_ORTHOGONAL_TRANSFORMATION
09045.p CROSS_LINEAR_IMAGE
09046.p CROSS_LINEAR_IMAGE_WEAK
09047.p NORM_CROSS
09048.p COPLANAR_INSERT_0_NEG
09049.p COPLANAR_IMP_NEGLIGIBLE
09051.p NOT_COPLANAR_NOT_COLLINEAR
09052.p SUBSET_AFFINE_HULL_SPECIAL_SCALE
09053.p COLLINEAR_SPECIAL_SCALE
09054.p COLLINEAR_SCALE_ALL
09055.p COPLANAR_SPECIAL_SCALE
09056.p COPLANAR_SCALE_ALL
09057.p COLLINEAR_BASIS_3
09058.p OPEN_DROPOUT_3
09059.p SLICE_DROPOUT_3
09061.p SLICE_312
09062.p SLICE_123
09065.p LINEAR_PAD2D3D
09066.p INJECTIVE_PAD2D3D
09067.p NORM_PAD2D3D
09068.p Counting_spheres.pad2d3d_dot_v
09069.p Counting_spheres.pad2d3d_SUB
09070.p PLANE_TRANSLATION_EQ
09072.p PLANE_LINEAR_IMAGE_EQ
09075.p ROTATION_PLANE_HORIZONTAL
09076.p ROTATION_HORIZONTAL_PLANE
09077.p COPLANAR
09079.p AFFSIGN
09080.p AFFSIGN_ALT
09081.p IN_AFFSIGN
09082.p AFFSIGN_DISJOINT_DIFF
09083.p AFF_GE_DISJOINT_DIFF
09084.p AFFSIGN_INJECTIVE_LINEAR_IMAGE
09085.p AFF_GE_INJECTIVE_LINEAR_IMAGE
09086.p AFF_GT_INJECTIVE_LINEAR_IMAGE
09087.p AFF_LE_INJECTIVE_LINEAR_IMAGE
09088.p AFF_LT_INJECTIVE_LINEAR_IMAGE
09089.p IN_AFFSIGN_TRANSLATION
09090.p AFFSIGN_TRANSLATION
09091.p AFF_GE_TRANSLATION
09092.p AFF_GT_TRANSLATION
09093.p AFF_LE_TRANSLATION
09094.p AFF_LT_TRANSLATION
09095.p AFF_GT_2_1
09096.p AFF_GT_3_1
09097.p AFF_LT_1_1
09098.p AFF_LT_2_1
09099.p CONVEX_AFFSIGN
09100.p CONVEX_AFF_GE
09102.p CONVEX_AFF_GT
09104.p AFFSIGN_SUBSET_AFFINE_HULL
09105.p AFF_GE_SUBSET_AFFINE_HULL
09107.p AFF_GT_SUBSET_AFFINE_HULL
09108.p AFF_LT_SUBSET_AFFINE_HULL
09109.p AFFSIGN_EQ_AFFINE_HULL
09110.p AFF_GE_EQ_AFFINE_HULL
09114.p AFFSIGN_SUBSET_AFFSIGN
09115.p AFF_GT_SUBSET_AFF_GE
09116.p AFFSIGN_MONO_LEFT
09117.p AFF_GT_MONO_LEFT
09118.p AFF_GE_MONO_LEFT
09119.p AFF_LT_MONO_LEFT
09121.p AFFSIGN_MONO_RIGHT
09122.p AFF_GE_MONO_RIGHT
09124.p AFFINE_HULL_SUBSET_AFFSIGN
09125.p AFFINE_HULL_SUBSET_AFF_GE
09126.p AFF_GE_AFF_GT_DECOMP
09127.p AFFSIGN_SPECIAL_SCALE
09128.p AFF_GE_SPECIAL_SCALE
09130.p AFF_GT_SPECIAL_SCALE
09131.p AFF_LT_SPECIAL_SCALE
09132.p AFFSIGN_0
09133.p AFF_GE_0_AFFINE_MULTIPLE_CONVEX
09138.p AFF_GE_0_CONVEX_HULL_ALT
09139.p AFF_GE_0_CONVEX_CONE_NEGATIONS
09141.p POLYHEDRON_AFF_GE
09142.p CLOSED_AFF_GE
09143.p HALFLINE_REFL
09144.p HALFLINE_EXPLICIT
09145.p HALFLINE
09147.p SEGMENT_SUBSET_HALFLINE
09148.p HALFLINE_SUBSET_AFFINE_HULL
09149.p HALFLINE_INTER_COMPACT_SEGMENT
09150.p CONV0_INJECTIVE_LINEAR_IMAGE
09151.p CONV0_TRANSLATION
09152.p CONV0_SUBSET_CONVEX_HULL
09153.p CONV0_AFF_GT
09154.p CONVEX_HULL_CONV0_DECOMP
09155.p CONVEX_CONV0
09156.p BOUNDED_CONV0
09157.p MEASURABLE_CONV0
09158.p NEGLIGIBLE_CONVEX_HULL_DIFF_CONV0
09159.p MEASURE_CONV0_CONVEX_HULL
09160.p ORTHONORMAL_LINEAR_IMAGE
09161.p ORTHONORMAL_PERMUTE
09162.p Trigonometry2.ORTHONORMAL_BASIS3_conjunct0
09163.p ORTHONORMAL_CROSS
09168.p ORTHONORMAL_IMP_INDEPENDENT_EXPLICIT_0
09169.p ORTHONORMAL_IMP_INDEPENDENT_EXPLICIT
09170.p ARCV_ANGLE
09171.p ARCV_LINEAR_IMAGE_EQ
09172.p ARCV_TRANSLATION_EQ
09173.p Trigonometry2.ORTHONORMAL_BASIS3_conjunct2
09174.p AZIM_EXISTS
09177.p AZIM_UNIQUE
09178.p AZIM_TRANSLATION
09179.p AZIM_LINEAR_IMAGE
09180.p AZIM_DEGENERATE_conjunct2
09181.p AZIM_DEGENERATE_conjunct1
09182.p AZIM_DEGENERATE_conjunct0
09183.p Trigonometry2.LT_IMP_ABS_REFL
09184.p AZIM_SPECIAL_SCALE
09185.p AZIM_SCALE_ALL
09186.p DROPOUT_BASIS_3_conjunct2
09187.p DROPOUT_BASIS_3_conjunct1
09188.p DROPOUT_BASIS_3_conjunct0
09194.p CROSS_BASIS_conjunct0
09195.p Trigonometry2.ORTHONORMAL_BASIS3_conjunct1
09199.p AZIM_ARG
09200.p REAL_CONTINUOUS_AT_AZIM
09201.p AZIM_REFL
09202.p AZIM_EQ
09203.p AZIM_EQ_ALT
09204.p AZIM_EQ_0
09205.p AZIM_EQ_0_ALT
09206.p AZIM_EQ_0_GE
09207.p AZIM_COMPL_EQ_0
09208.p AZIM_COMPL
09209.p AZIM_EQ_PI_SYM
09210.p AZIM_EQ_0_SYM
09211.p AZIM_EQ_0_GE_ALT
09212.p AZIM_EQ_PI
09213.p AZIM_EQ_PI_ALT
09214.p AZIM_EQ_0_PI_IMP_COPLANAR
09215.p DIHV
09216.p DIHV_TRANSLATION_EQ
09217.p DIHV_LINEAR_IMAGE
09218.p DIHV_SPECIAL_SCALE
09219.p DIHV_RANGE
09220.p COS_AZIM_DIHV
09221.p AZIM_DIHV_SAME
09222.p AZIM_DIHV_COMPL
09223.p AZIM_DIVH
09224.p AZIM_DIHV_EQ_0
09225.p AZIM_DIHV_EQ_PI
09226.p AZIM_EQ_0_PI_EQ_COPLANAR
09227.p DIHV_EQ_0_PI_EQ_COPLANAR
09228.p DIHV_SYM
09229.p DIHV_NEG
09230.p DIHV_NEG_0
09232.p SPHERICAL_COORDINATES
09233.p WEDGE_ALT
09234.p WEDGE_TRANSLATION
09235.p WEDGE_LINEAR_IMAGE
09236.p WEDGE_SPECIAL_SCALE
09237.p AFF_GT_LEMMA
09238.p WEDGE_LUNE_GT
09239.p WEDGE_LUNE_GE
09240.p WEDGE_LUNE
09241.p WEDGE_DEGENERATE_conjunct2
09242.p WEDGE_DEGENERATE_conjunct1
09243.p WEDGE_DEGENERATE_conjunct0
09244.p CROSS_EQ_SELF_conjunct1
09245.p CROSS_EQ_SELF_conjunct0
09247.p OPEN_WEDGE
09248.p VOLUME_OF_CLOSED_TETRAHEDRON
09249.p VOLUME_OF_TETRAHEDRON
09250.p AREA_UNIT_CBALL
09251.p AREA_CBALL
09252.p AREA_BALL
09253.p VOLUME_CBALL
09254.p VOLUME_BALL
09256.p CONVEX_RCONE_GT
09261.p NORMBALL_BALL
09262.p MEASURE_SCALE
09264.p MEASURABLE_ELLIPSOID
09266.p BOUNDED_CONIC_CAP
09267.p MEASURABLE_CONIC_CAP
09268.p VOLUME_CONIC_CAP_STRONG
09269.p VOLUME_CONIC_CAP
09270.p NEGLIGIBLE_CIRCULAR_CONE_0_NONPARALLEL
09271.p NEGLIGIBLE_CIRCULAR_CONE_0
09273.p NEGLIGIBLE_RCONE_EQ
09274.p NEGLIGIBLE_ARG_EQ
09275.p MEASURABLE_CLOSED_SECTOR_LE
09277.p MEASURABLE_CLOSED_SECTOR_LTE
09279.p HAS_MEASURE_OPEN_SECTOR_LT
09280.p MEASURE_OPEN_SECTOR_LT
09281.p HAS_MEASURE_OPEN_SECTOR_LT_GEN
09282.p MEASURABLE_BALL_WEDGE
09283.p VOLUME_BALL_WEDGE
09284.p HAS_MEASURE_LUNE
09285.p HAS_MEASURE_LUNE_SIMPLE
09286.p MEASURABLE_BALL_AFF_GT
09287.p AFF_GT_SHUFFLE
09288.p MEASURE_BALL_AFF_GT_SHUFFLE_LEMMA
09289.p MEASURE_BALL_AFF_GT_SHUFFLE
09290.p MEASURE_LUNE_DECOMPOSITION
09291.p SOLID_TRIANGLE_CONGRUENT_NEG
09292.p VOLUME_SOLID_TRIANGLE
09293.p MEASURABLE_BOUNDED_INTER_OPEN
09294.p SLICE_SPECIAL_WEDGE
09295.p VOLUME_FRUSTT_WEDGE
09296.p VOLUME_CONIC_CAP_WEDGE_WEAK
09297.p BOUNDED_CONIC_CAP_WEDGE
09298.p MEASURABLE_CONIC_CAP_WEDGE
09299.p VOLUME_CONIC_CAP_COMPL
09300.p VOLUME_CONIC_CAP_WEDGE_MEDIUM
09301.p VOLUME_CONIC_CAP_WEDGE
09302.p RECT_INTERVAL
09304.p RCONE_GT_GE
09305.p NULLSET_RULES_conjunct0
09306.p MEASURABLE_RULES_conjunct2
09307.p MEASURABLE_RULES_conjunct0
09309.p volume_props_conjunct1
09315.p POLYHEDRON_COLLINEAR_FACES_STRONG
09316.p POLYHEDRON_COLLINEAR_FACES
09317.p VERTICES_TRANSLATION
09318.p VERTICES_LINEAR_IMAGE
09319.p EDGES_TRANSLATION
09320.p EDGES_LINEAR_IMAGE
09325.p Sphere.aff_le_def
09326.p Sphere.plane
09328.p Sphere.arcV
09329.p Sphere.dihV
09334.p Sphere.rcone_ge
09335.p Sphere.rcone_gt
09336.p Sphere.rcone_eq
09340.p Geomdetail.convex
09355.p Geomdetail.v1_in_convex3
09356.p Geomdetail.v3_in_convex3
09357.p Geomdetail.v1v2v3_in_convex3
09358.p Geomdetail.convex3
09360.p Geomdetail.SUM_TWO_RATIO
09361.p Geomdetail.minconvex3
09363.p Geomdetail.convex3_in_inters
09364.p Geomdetail.simpl_conv3
09365.p Geomdetail.SET3_SUBSET
09366.p Geomdetail.FINITE6
09370.p Geomdetail.IN_ACT_SING
09371.p Geomdetail.NOV10
09372.p Geomdetail.IN_SET2
09373.p Geomdetail.VSUM_DIS2
09374.p Geomdetail.SUM_DIS2
09375.p Collect_geom.TRUONG_LEMMA
09376.p Geomdetail.NOV11
09377.p Geomdetail.CONV2_CONV3
09378.p Geomdetail.CONV3_CONV2
09380.p Geomdetail.CONV3_A_EQ
09381.p Geomdetail.VSUM_DIS3
09382.p Geomdetail.SUM_DIS3
09387.p Geomdetail.CARD_CLAUSES_IMP
09389.p Geomdetail.CARD_SET2
09390.p Geomdetail.CARD_EQUATION
09392.p Geomdetail.CARD2
09393.p Geomdetail.CARD3
09394.p Geomdetail.CARD4
09395.p Geomdetail.CARD5
09401.p Geomdetail.CARD_SET_OF_LIST_LE
09402.p Geomdetail.HAS_SIZE_SET_OF_LIST
09403.p Geomdetail.HAS_SIZE_SET_OF_LIST_4
09404.p Geomdetail.SET_OF_4
09426.p Geomdetail.HALF_PLANE_CONV
09427.p Geomdetail.HALF_PLANE_CONV_EP
09428.p Geomdetail.VORONOI_CONV
09429.p Geomdetail.CONVEX_IM_CONV2_SU
09430.p Geomdetail.U_IN_CONV2
09431.p Geomdetail.UV_IN_CONV2
09433.p Geomdetail.CONV0_SING
09434.p Geomdetail.NOV10'
09435.p Collect_geom.CONV0_SET2
09436.p Geomdetail.CONV02_SU_CONV2
09438.p Geomdetail.PAIR_EQ_EXPAND
09440.p Geomdetail.IN_SET4
09444.p Geomdetail.db_t0_sq8
09457.p Geomdetail.DIST_PAIR_LEMMA
09462.p Collect_geom.simp_def2_conjunct0
09464.p Collect_geom.lemma_cm3
09465.p Collect_geom.lemma7
09466.p Collect_geom.lemma8
09468.p Collect_geom.JVUNDLC
09469.p Collect_geom.IN_ACT_SING
09470.p Collect_geom.IN_SET2
09471.p Collect_geom.SUM_DIS2
09472.p Collect_geom.VSUM_DIS2
09474.p Collect_geom.CONV_SET2
09475.p Collect_geom.LE_OF_ZPGPXNN
09476.p Collect_geom.LENGTH_EQUA
09479.p Collect_geom.VEC_PER2_3_conjunct1
09482.p Collect_geom.PAIR_EQ_EXPAND
09483.p Collect_geom.IN_SET3
09485.p Collect_geom.PER2_IN3_conjunct1
09486.p Collect_geom.PER2_IN3_conjunct0
09487.p Collect_geom.SGFCDZO
09488.p Collect_geom.RHUFIIB
09489.p Collect_geom.RIGHT_END_POINT
09490.p Collect_geom.LEFT_END_POINT
09494.p Collect_geom.DELTA_X34
09495.p Collect_geom.C_COEF_FORMULA
09498.p Collect_geom.COLLINEAR_EX
09499.p Collect_geom.MAX_REAL_LESS_EX
09500.p Collect_geom.MAX_REAL3_LESS_EX
09502.p Collect_geom.ETA_X_SYM
09503.p Collect_geom.ETA_Y_SYM
09504.p Collect_geom.ETA_Y_SYMM
09505.p Collect_geom.IMPLY_POS
09506.p Collect_geom.POW2_COND
09507.p Collect_geom.TRUONGG
09508.p Collect_geom.RE_TRUONGG
09509.p Collect_geom.HVXIKHW
09510.p Collect_geom.EXISTS_INV
09511.p Collect_geom.REAL_LT_RDIV_0
09512.p Collect_geom.POS_EQ_INV_POS
09513.p Collect_geom.MIDDLE_POINT
09514.p Collect_geom.IN_CONV_COLLINEAR
09515.p Collect_geom.COLLINERA_AS_IN_CONV2
09516.p Collect_geom.LENGTH_EQ_EX
09517.p Collect_geom.BETWEEN_IFF_IN_CONVEX_HULL
09518.p Collect_geom.BETWEEN_IMP_IN_CONVEX_HULL
09519.p Collect_geom.PRE_HER
09521.p Collect_geom.TRIVIVAL_LE
09522.p Collect_geom.MID_COND
09523.p Collect_geom.FHFMKIY
09524.p Collect_geom.AFFINE_HULL_FINITE
09525.p Collect_geom.IN_AFFINE_HULL_IMP_COLLINEAR
09527.p Collect_geom.equivalent_lemma
09528.p Collect_geom.LAMBDA_TRIPLED_THM
09531.p Collect_geom.EXISTS_UNIQUE_TRIPLED_THM
09533.p Collect_geom.FAFKVLR
09534.p Collect_geom.lemma11
09535.p Collect_geom.simp_def2_conjunct3
09536.p Collect_geom.simp_def2_conjunct2
09537.p Collect_geom.simp_def2_conjunct1
09538.p Collect_geom.lem11
09539.p Collect_geom.REAL_PER3
09540.p Collect_geom.NOT_COLLINEAR_IMP_2_UNEQUAL
09541.p Collect_geom.COLLINEAR_DISJOINT3
09543.p Collect_geom.simp_def_ge
09546.p Collect_geom.AFFINE_SET_GEN_BY_TWO_POINTS
09547.p Collect_geom.SET2_SU_EX
09548.p Collect_geom.GENERATING_POINT_IN_SET_AFF
09549.p Collect_geom.AFF_2POINTS_INTERPRET
09550.p Collect_geom.IN_AFF_GE_INTERPRET_TO_AFF_GT_AND_AFF
09551.p Collect_geom.AFFINE_AFF_HULL
09552.p Collect_geom.AFFINE_CONTAIN_LINE
09553.p Collect_geom.VECTOR_SUB_DISTRIBUTE
09554.p Collect_geom.CHANGE_SIDE
09555.p Collect_geom.PRE_INVERSE_SUB
09556.p Collect_geom.LEMMA5
09558.p Collect_geom.EQ_POW2_COND
09559.p Collect_geom.D3_POS_LE
09561.p Collect_geom.TO_UYCH
09562.p Collect_geom.NOT_UPS_X_ZERO_IMP_SMT
09563.p Collect_geom.TROI_OI_DAT_HOI
09564.p Collect_geom.ZERO_LE_UPS_X
09565.p Collect_geom.NORM_POW2_SUM2
09566.p Collect_geom.X_DOT_X_EQ
09567.p Collect_geom.SUB_DIST_POW2_INTERPRETE
09568.p Collect_geom.REAL_DIV_LZERO
09569.p Collect_geom.HALF_OF_LE16
09570.p Collect_geom.EQ_SUB_DIST_POW2_IMP_IDENTIFIED
09571.p Collect_geom.SDIHJZK
09572.p Collect_geom.SDIHJZK_INTERPRETE
09573.p Collect_geom.DELTA_RRR_INTERPRETE
09574.p Collect_geom.NOT_UPS_X_EQ_0_IMP
09575.p Collect_geom.PROVE_EXISTS_RADV
09578.p Collect_geom.PRE_RADV_COND
09579.p Collect_geom.NOT_COL_IMP_RADV_PROPERTIY
09580.p Collect_geom.DELTA_X1I_RRR_conjunct2
09581.p Collect_geom.DELTA_X1I_RRR_conjunct1
09582.p Collect_geom.DELTA_X1I_RRR_conjunct0
09583.p Collect_geom.CIRCUMCENTER_FORMULAR2
09584.p Collect_geom.NOT_COLL_IMP_RADV_FORMULAR
09586.p Collect_geom.DIST_EQ_IS_UNIQUE
09587.p Collect_geom.NEVER_USED_AGAIN
09588.p Collect_geom.TRUONG_WELL
09589.p Collect_geom.NGAY_MONG6
09590.p Collect_geom.CIRCUMCENTER_PROPTIES
09591.p Collect_geom.SIMP_DOT_ALEM
09592.p Collect_geom.MONG7_ROI
09594.p Collect_geom.NOT_COLL_IMP_RADV_EQ_ETA_Y
09595.p Collect_geom.TWO_EQ_IMP_COL3
09596.p Collect_geom.NOT_CO_IMP_DIST_POS
09597.p Collect_geom.NOT_COLL_IMP_POS_SUM
09598.p Collect_geom.PER_SET2
09599.p Collect_geom.COLLINEAR_AS_IN_CONV2
09601.p Collect_geom.MUL3_SYM
09602.p Collect_geom.ETA_X_SYMM
09603.p Collect_geom.ETA_Y_SYYM
09604.p Collect_geom.NOT_COL3_IMP_DIFF
09605.p Collect_geom.POW2_COND_LT
09606.p Trigonometry2.DIV_POW2
09608.p Collect_geom.LEMMA50
09609.p Collect_geom.plane
09610.p Collect_geom.COPLANAR_DET_EQ_0
09613.p Collect_geom.COPLANAR_DET_VEC3_EQ_0
09614.p Collect_geom.COPLANAR_3
09615.p Collect_geom.NONCOPLANAR_4_DISTINCT
09616.p Collect_geom.NONCOPLANAR_3_BASIS
09617.p Collect_geom.DET_VEC3_AND_DELTA
09618.p Collect_geom.LEMMA15
09620.p Collect_geom.ZERO_NEUTRAL
09621.p Collect_geom.EQUATE_CONEFS_POLINOMIAL_POW2
09625.p Collect_geom.ALE
09626.p Collect_geom.DISCRIMINANT_OF_CAY
09628.p Collect_geom.DET_VECC3_AND_DELTA
09630.p Collect_geom.UPS_X_POS
09631.p Collect_geom.UPS_X_SYM
09632.p Collect_geom2.CAYLEYR_5POINTS
09633.p Collect_geom2.LEMMA3
09635.p Collect_geom2.PRE_VIET
09636.p Collect_geom2.VIET_THEOREM
09637.p Collect_geom2.ADD_SUB_POW2_EX_conjunct0
09639.p Collect_geom2.PRESENT_SUB_POW2
09641.p Collect_geom2.REAL_EQ_TO_LE_LT
09642.p Collect_geom2.FEBRUARY_13_09
09643.p Collect_geom2.SUB_DOT_NEG_TO_POS
09647.p Trigonometry2.MUL_POW2
09650.p Collect_geom2.LT_POW2_EQ_LT
09651.p Collect_geom2.ETA_Y_LT_SQRT2
09653.p Collect_geom2.THANG_DEU
09655.p Collect_geom2.SQRT8_POW2
09659.p Collect_geom2.FACTOR_OF_QUADRARTIC
09660.p Collect_geom2.COMPUTE_TO_QUA_POLY
09661.p Collect_geom2.PHAN_TICH
09662.p Collect_geom2.Q_TR
09664.p Collect_geom2.IM_UP_POS
09665.p Collect_geom2.IMP_ETAY_POS
09666.p Collect_geom2.REAL_LE_RDIV_0
09668.p Collect_geom2.SQRT8_LE
09669.p Collect_geom2.RELATE_POW2_conjunct0
09670.p Collect_geom2.RELATE_POW2_conjunct1
09672.p Collect_geom2.POS_IMP_POW2
09673.p Collect_geom2.SQRT8_LE_EQ_8_LESS_POW2
09675.p Collect_geom2.GREATER_THAN_MID_QUADRATIC_PO
09681.p Collect_geom2.MET_LAM_ROI_conjunct1
09685.p Collect_geom2.LEOF41
09687.p Collect_geom2.LEMMA_OF_L42
09688.p Collect_geom2.LEMMA_IN_LEMMA42_P25
09690.p Collect_geom2.CONVEX_NORMBALL
09691.p Collect_geom2.CONVEX_HULL4
09692.p Collect_geom2.CONVEX_HULL_4_EQUIV
09695.p Collect_geom2.COEF_1_EQ_ZERO
09696.p Collect_geom2.EQ_IMP_COPLANAR
09697.p Collect_geom2.THEOREM_RE_AFF_LT31
09698.p Collect_geom2.AFF_LT31
09700.p Collect_geom2.AFF_GT33
09701.p Collect_geom2.AFF_GE33
09702.p Collect_geom2.AFF_GE_12
09705.p Collect_geom2.INSET3_conjunct3
09709.p Collect_geom2.AFF_LE_LT33
09710.p Collect_geom2.AFF_GES_LTS
09711.p Collect_geom2.AFF_GES_GTS
09712.p Collect_geom2.COEF_1_POS_NEG
09713.p Collect_geom2.ALL_ABOUT_COEF_1
09714.p Collect_geom2.PER_COEF1_WITH_COEF2
09715.p Collect_geom2.PER_COEF1_WITH_COEF3
09716.p Collect_geom2.PER_COEF1_WITH_COEF4
09717.p Collect_geom2.ALL_ABOUT_COEF_2
09718.p Collect_geom2.ALL_ABOUT_COEF_3
09720.p Collect_geom2.ARIKWRQ
09724.p Collect_geom2.QUAANG_TRUOONN
09726.p Collect_geom2.SQRT8_POS
09727.p Collect_geom2.SQRT8_LT_4_45
09729.p Collect_geom2.BPOW8APOW2CPOW2
09734.p Collect_geom2.INTER_DISJONT_EX
09736.p Collect_geom2.IMP_AFFINE_HULL_SUBSET
09738.p Collect_geom2.SET_EQ_TO_SUBSET
09739.p Collect_geom2.OTHORGONAL_QUATER_FOR
09743.p Collect_geom2.PITHAGOR_NORM
09744.p Collect_geom2.VEC3_EQ_EX
09745.p Collect_geom2.CROSS_CONVERT
09746.p Collect_geom2.NORM_CROSS_PRODUCT_UPS_X
09748.p Collect_geom2.ORTHOGONAL_IMP_PITHAGOR
09749.p Collect_geom2.NOT_COL_AND_ORTHO_IMP_NOT_COPL
09750.p Collect_geom2.PLANE_NORM_IMP_AFFINE
09751.p Collect_geom2.IN_PLANE_IMP_OTHORGONAL
09752.p Collect_geom2.IMP_A1_EQ_0
09754.p Collect_geom2.DET_VEC3_AS_CROSS_DOT
09755.p Collect_geom2.COL_EQ_NORM_CROSS
09756.p Collect_geom2.COLLINEAR_IMP_COPLANAR
09757.p Collect_geom2.POS_EQ_NOT_COPLANANR
09758.p Collect_geom2.SUM_CHI_EQ_2DELTA
09759.p Collect_geom2.NOT_0_IMP_SUM_CHI_1
09760.p Collect_geom2.PROVE_DIST_FROM_V1
09761.p Collect_geom2.PROVE_EQ_DIST_FROM4
09762.p Collect_geom2.AFFINE_HULL_3
09763.p Collect_geom2.AFFINE_HULL_4
09764.p FORALL_IN_CLAUSES_conjunct1
09765.p FORALL_IN_CLAUSES_conjunct0
09766.p Collect_geom2.PROVE_EXISTS_CIR_OF_FOUR_POINTS
09768.p Collect_geom2.DIST_EQ_IMP_ORTHOGONAL
09769.p Collect_geom2.IMP_OTHO4
09770.p Collect_geom2.UNIQUE_EXISISTING_PROPERTY_C4
09771.p Collect_geom2.PROVE_IN_AFFINE_HULL_4
09772.p Collect_geom2.VBVYGGT
09773.p Collect_geom2.THREE_POINTS_COP
09775.p Collect_geom2.NOT_COPLANAR_IMP_CARD4
09776.p Collect_geom2.NOT_COPLANAR_IMP_EXISTS_CIR2
09777.p Collect_geom2.NOT_COPLANAR_IMP_RADV_PROPERTIES
09778.p Collect_geom2.NOT_COL_EQ_UPS_X_POS
09779.p Collect_geom2.ETA_Y_POW2_EQ
09780.p Collect_geom2.ETA_Y_POS_LE
09782.p Collect_geom2.NOT_EQ_BASIS_IMP_OTHORGANAL
09783.p Collect_geom2.NORM_BASIS_VEC3
09784.p Collect_geom2.AAA_LEMMA
09785.p Collect_geom2.LLEEMAA
09786.p Collect_geom2.BASIS_DIS_OTHORGONAL_conjunct2
09787.p Collect_geom2.BASIS_DIS_OTHORGONAL_conjunct1
09788.p Collect_geom2.BASIS_DIS_OTHORGONAL_conjunct0
09790.p Collect_geom2.DELTA_TRIPLE_SUB_H_EXPAND
09792.p Collect_geom2.FIRST_POINT_IN_AFF3
09794.p Collect_geom2.NOT_COPLANAR_IMP_NOT_COLLINEAR
09796.p Collect_geom2.INSERT_SUBSET_conjunct1
09797.p Collect_geom2.INSERT_SUBSET_conjunct0
09802.p Collect_geom2.SQRT4_EQ2
09803.p Collect_geom2.SHOGYBS
09804.p Collect_geom2.GDRQXLG
09808.p Real_ext.REAL_MUL_RTIMES_LE
09810.p Real_ext.REAL_PROP_LE_LABS
09811.p Real_ext.REAL_LE_RMUL_IMP
09812.p Real_ext.REAL_PROP_NN_RCANCEL
09813.p Real_ext.REAL_PROP_NN_LCANCEL
09814.p Real_ext.REAL_PROP_NZ_ABS
09819.p Tactics_jordan.strict_lemma
09821.p Tactics_jordan.strip_lt_lemma
09826.p Tactics_jordan.expand_prod_lt
09827.p Tactics_jordan.expand_prod_le
09831.p Tactics_jordan.REAL_POW_2_LE
09832.p Tactics_jordan.REAL_POW_2_LT
09837.p Num_ext_nabs.INT_IS_INT
09838.p Num_ext_nabs.INT_OF_NUM_DEST
09839.p Num_ext_nabs.INT_REP
09840.p Num_ext_nabs.INT_REP2
09841.p Num_ext_nabs.NABS_POS
09842.p Num_ext_nabs.NABS_NEG
09843.p Taylor_atn.pos1
09845.p Taylor_atn.pos2
09846.p Taylor_atn.halfatn_bounds_abs
09848.p Taylor_atn.halfatn_half
09849.p Taylor_atn.abs_pass_through
09850.p Taylor_atn.atn_abs
09851.p Taylor_atn.atn_half_range
09852.p Taylor_atn.tan_one_one
09853.p Taylor_atn.abs_lemma
09854.p Taylor_atn.cos_nz
09855.p Taylor_atn.cos_2nz
09857.p Taylor_atn.REAL_DIV_MUL2z
09858.p Taylor_atn.atn_half
09859.p Taylor_atn.id1
09860.p Taylor_atn.id2
09861.p Taylor_atn.id3
09862.p Taylor_atn.id4
09863.p Taylor_atn.idz
09864.p Taylor_atn.id4a
09865.p Taylor_atn.id4b
09866.p Taylor_atn.id5
09867.p Taylor_atn.taylor_coeff_catn0
09868.p Taylor_atn.taylor_coeff_catn1
09869.p Taylor_atn.taylor_coeff_catn_pos
09870.p Taylor_atn.taylor_series_inv_pow
09871.p Taylor_atn.factorial_lemma
09872.p Taylor_atn.taylor_coeff_catn_deriv
09873.p Taylor_atn.ipows2
09874.p Taylor_atn.ipowsc2
09875.p Taylor_atn.taylor_coeff0
09876.p Taylor_atn.term_bound
09877.p Taylor_atn.taylor_error_bound
09878.p Taylor_atn.complex_taylor_catn
09881.p Taylor_atn.real_taylor_atn_ver1
09882.p Taylor_atn.sum_odd
09884.p Taylor_atn.real_taylor_atn
09885.p Taylor_atn.real_taylor_atn_halfatn4
09886.p Taylor_atn.atn_halfatn4
09887.p Taylor_atn.real_taylor_atn_halfatn4_a
09888.p Taylor_atn.atn_bounds_anti
09890.p Taylor_atn.real_taylor_atn_approx
09891.p Float.TWOPOW_POS
09892.p Float.TWOPOW_NEG
09893.p Float.TWOPOW_INV
09894.p Float.INT_REP3
09896.p Float.TWOPOW_ADD_1
09897.p Float.TWOPOW_0
09898.p Float.TWOPOW_SUB_NUM
09900.p Float.TWOPOW_ADD_INT
09901.p Float.TWOPOW_ABS
09902.p Float.TWOPOW_POW
09904.p Float.FLOAT_MUL
09905.p Float.FLOAT_ADD
09907.p Float.FLOAT_ADD_NP
09908.p Float.FLOAT_ADD_PN
09909.p Float.FLOAT_ADD_PP
09911.p Float.FLOAT_ADD_NN
09912.p Float.FLOAT_ADD_NNv2
09913.p Float.FLOAT_SUB
09914.p Float.FLOAT_ABS
09917.p Float.INT_ABS_NEG_NUM
09920.p Float.INT_ADD_NEG_NUM
09921.p Float.INT_POW_NEG1
09923.p Float.POW_MINUS1
09925.p Float.INT_ADD_NEG
09926.p Float.INT_ADD_NEGv2
09928.p Float.FLOAT_LT
09929.p Float.FLOAT_LE
09930.p Float.REAL_ADD_LE_SUBST_RHS
09931.p Float.REAL_ADD_LE_SUBST_LHS
09932.p Float.INTERVAL_ADD
09933.p Float.INTERVAL_NEG
09935.p Float.INTERVAL_SUB
09936.p Float.REAL_PROP_LE_RABS
09937.p Float.REAL_LE_ABS_MUL
09938.p Float.INTERVAL_ABS
09939.p Float.INTERVAL_MUL
09940.p Float.INTERVAL_NUM
09943.p Float.INTERVAL_MAX
09944.p Float.INTERVAL_MIN
09945.p Float.INTERVAL_ABS_MIN
09948.p Float.INTERVAL_EPS_POS
09951.p Float.REAL_MK_POS_ABS_'
09952.p Float.INTERVAL_DIV
09954.p Float.taylor_atn
09955.p Float.pi_atn
09956.p Float.ssqrt_sqrt
09957.p Float.REAL_SSQRT_NEG
09958.p Float.REAL_SSQRT_NN
09959.p Float.REAL_MK_NN_SSQRT
09963.p Float.REAL_SSQRT_MONO
09965.p Float.REAL_SSQRT_SQUARE
09966.p Float.REAL_SSQRT_SQUARE'
09967.p Float.INTERVAL_SSQRT
09968.p Float.TWOPOW_MK_POS
09969.p Float.TWOPOW_NZ
09970.p Float.FLOAT_ZERO
09971.p Float.INT_ZERO
09973.p Float.FLOAT_NN
09975.p Float.FLOAT_POS
09976.p Float.INT_POS'
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09982.p Float.INTERVAL_TO_LESS
09986.p Float.lemma3
09987.p Float.pow_parity
09988.p Float.INTERVAL_MINMAX
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09993.p Flyspeck_constants.bounds_conjunct2
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10007.p Flyspeck_constants.bounds_conjunct16
10008.p Flyspeck_constants.bounds_conjunct17
10009.p Flyspeck_constants.bounds_conjunct18
10010.p Misc_defs_and_lemmas.min_least
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10014.p Misc_defs_and_lemmas.REAL_MUL_NN
10015.p Misc_defs_and_lemmas.ABS_SQUARE
10016.p Misc_defs_and_lemmas.ABS_SQUARE_LE
10017.p Misc_defs_and_lemmas.POW_2_LT
10020.p Misc_defs_and_lemmas.prod
10022.p Misc_defs_and_lemmas.ABS_PROD
10034.p Misc_defs_and_lemmas.INTERS_SUBSET
10035.p Misc_defs_and_lemmas.sub_union
10036.p Misc_defs_and_lemmas.IMAGE_SURJ
10037.p Misc_defs_and_lemmas.SUBSET_PREIMAGE
10040.p Misc_defs_and_lemmas.SUBSET_INTER
10041.p Misc_defs_and_lemmas.EMPTY_EXISTS
10045.p Misc_defs_and_lemmas.in_preimage
10047.p Misc_defs_and_lemmas.GSPEC_THM
10049.p Misc_defs_and_lemmas.FINITE_HAS_SIZE_LEMMA
10050.p Misc_defs_and_lemmas.NUM2_COUNTABLE
10052.p Misc_defs_and_lemmas.COUNTABLE_IMAGE
10053.p Misc_defs_and_lemmas.COUNTABLE_CARD
10054.p Misc_defs_and_lemmas.COUNTABLE_NUMSEG
10056.p Misc_defs_and_lemmas.num_SEG_UNION
10058.p Misc_defs_and_lemmas.INTER_FINITE
10063.p Misc_defs_and_lemmas.real_FINITE
10064.p Misc_defs_and_lemmas.UNIONS_DELETE
10066.p Misc_defs_and_lemmas.COMP_INJ
10067.p Misc_defs_and_lemmas.COMP_SURJ
10070.p Misc_defs_and_lemmas.INVERSE_BIJ
10072.p Misc_defs_and_lemmas.FINITE_BIJ
10074.p Misc_defs_and_lemmas.FINITE_BIJ2
10075.p Misc_defs_and_lemmas.BIJ_CARD
10077.p Misc_defs_and_lemmas.CARD_SING
10078.p Hypermap.FINITE_SINGLETON
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10081.p Misc_defs_and_lemmas.DOMAIN_INSERT
10086.p Hales_tactic.GSYM_EXISTS_PAIRED_THM
10087.p Trigonometry1.REAL_DIV_MUL2
10088.p Trigonometry1.REAL_LT_MUL_3
10089.p Trigonometry1.SQRT_MUL_L
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10094.p Trigonometry1.CIRCLE_SINCOS_PI
10095.p Trigonometry1.SIN_NEGPOS_PI
10096.p Trigonometry.SCEZKRH1
10097.p Trigonometry1.COS_NEGPOS_PI
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10099.p Trigonometry1.ATAN2_EXISTS
10101.p Trigonometry1.ATAN2_TEMP_SPEC
10103.p Trigonometry1.ATAN2_TEMP_ALT
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10112.p Trigonometry.IHIQXLM
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10114.p Trigonometry1.TRI_SQUARES_BOUNDS
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10127.p Trigonometry1.CART_EQ_3
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10134.p Trigonometry1.VECTOR_MUL_COMPONENT_3
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10142.p Trigonometry1.SQRT_DIV_R
10143.p Trigonometry1.NORM_CROSS
10144.p Trigonometry.UKBAHKV
10145.p Trigonometry1.cross_mag
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10147.p Trigonometry2.COLLINEAR_TRANSABLE
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10151.p Trigonometry2.ABS_LE_1_IMP_SIN_ACS
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10154.p Trigonometry2.SQUARE_NORM_CAUCHY_SCHWARZ_POW2
10155.p Trigonometry2.SQRT_SEPARATED
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10160.p Trigonometry2.dihV
10161.p Trigonometry.RLXWSTK
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10163.p Trigonometry2.NOT_COLLINEAR_IMP_NOT_SIN0
10165.p Trigonometry2.NOT_IDEN_IMP_ABS_LE
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10172.p Trigonometry2.SIN_MUL_EXPAND
10174.p Trigonometry.NLVWBBW
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10176.p Trigonometry2.UPS_X_AND_HERON
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10186.p Trigonometry.OJEKOJF
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10193.p Trigonometry2.INTERS_SUBSET
10194.p Trigonometry2.AFFINE_SET_GENERARTED2
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10198.p Trigonometry2.IN_P_HULL_INSERT
10199.p Trigonometry2.AFF2
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10205.p Trigonometry2.WHEN_K_DIFF0_ARCV
10206.p Trigonometry2.PITHAGO_THEOREM
10208.p Trigonometry2.OTHORGONAL_WITH_COS
10209.p Trigonometry2.SIMPLIZE_COS_IF_OTHOR
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10212.p Trigonometry2.CHANG_BIET_GI
10213.p Trigonometry2.SUB_DOT_EQ_0_INVERTALE
10214.p Trigonometry2.SIN_DI_HOC2
10215.p Trigonometry2.KEY_LEMMA_FOR_ANGLES
10216.p Trigonometry2.ARCV_BOUNDED
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10218.p Trigonometry2.COS_MONOPOLY_EQ
10219.p Trigonometry2.END_POINT_ADD_IN_AFF2
10220.p Trigonometry2.EXISTS_PROJECTING_POINT2
10221.p Trigonometry2.KEY_LEMMA_FOR_ANGLES1
10222.p Trigonometry.KEITDWB
10224.p Trigonometry2.IN_A_PERIOD_IDE0
10225.p Trigonometry2.UNIQUE_PROPERTY_IN_A_PERIOD
10226.p Trigonometry.PDPFQUK
10228.p DOT_CROSS_SELF_conjunct3
10229.p DOT_CROSS_SELF_conjunct2
10230.p DOT_CROSS_SELF_conjunct1
10231.p DOT_CROSS_SELF_conjunct0
10235.p Trigonometry2.TOW_DISTINCT_POINTS_EXISTS_RD_NOT_COLLINEAR
10236.p Trigonometry2.SUBSET_IMP_SUBSET_HULL
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10238.p Trigonometry2.THREE_POINT_IMP_EXISTS_3
10239.p Trigonometry2.SUBSET_AFFINE_HULL3_EQ_SUB_PLANE
10240.p Trigonometry2.NONCOPLANAR_3_BASIS
10241.p Trigonometry2.coplanar1
10242.p Trigonometry2.COPLANAR_DET_VEC3_EQ_0
10243.p Trigonometry2.th
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10245.p Trigonometry2.POW2_1_BOUNDED
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10254.p Trigonometry2.SUM_TWO_POW2S
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10260.p Trigonometry2.GIVEN_VALUED_IMP_UNIQUE_EXISTENCE
10262.p Trigonometry2.INTERGRAL_UNIONS_INTERVALS
10263.p Trigonometry2.EXISTS_IN_UNIT_INTERVAL
10264.p Trigonometry2.MOVE_TO_UNIT_INTERVAL
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10270.p Trigonometry2.NOT_EQ_IMP_AFF_AND_COLL3
10271.p Trigonometry2.R_SIN_CIRCLE
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10352.p Trigonometry.JBDNJJB
10354.p Calc_derivative.REAL_POW_NEQ_0
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10359.p Calc_derivative.ratform_mul
10360.p Calc_derivative.ratform_div
10361.p Calc_derivative.ratform_inv
10362.p Calc_derivative.trivial_ratform
10363.p Calc_derivative.lite_imp
10364.p Calc_derivative.lite_imp2
10365.p Calc_derivative.invert_den_lt
10366.p Calc_derivative.invert_den_le
10367.p Calc_derivative.invert_den_eq
10368.p Calc_derivative.imp_lt
10369.p Calc_derivative.imp_le
10372.p Calc_derivative.derived_form_add
10373.p Calc_derivative.derived_form_sub
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10375.p Calc_derivative.derived_form_div
10376.p Calc_derivative.derived_form_pow
10377.p Calc_derivative.derived_form_neg
10378.p Calc_derivative.derived_form_const
10379.p Calc_derivative.derived_form_sin
10380.p Calc_derivative.derived_form_cos
10381.p Calc_derivative.derived_form_sqrt
10382.p Calc_derivative.derived_form_atn
10384.p Calc_derivative.derived_form_asn
10385.p Calc_derivative.derived_form_inv
10386.p Calc_derivative.derived_form_id
10387.p Calc_derivative.derived_form_chain
10388.p Calc_derivative.derived_form_generic
10390.p Calc_derivative.x2notless0
10391.p Calc_derivative.x2notlesseq0
10392.p Calc_derivative.sumsquaresnot0
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10394.p Calc_derivative.notzerodenom2
10395.p Calc_derivative.derived_imp_pos_open
10397.p Calc_derivative.derived_imp_pos_open_3
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10399.p Calc_derivative.deriv_pi_minus
10400.p Calc_derivative.deriv_minus_pi
10401.p Calc_derivative.deriv_minus_pi_minus
10402.p Calc_derivative.derived_form_chain_simple
10403.p Calc_derivative.atn_lemma
10404.p Calc_derivative.atn_notpi_lemma
10405.p Calc_derivative.atn_notnegpi_lemma
10406.p Calc_derivative.atn_lemma_2
10407.p Calc_derivative.atn_lemma_3
10408.p Calc_derivative.atn2_atn_open
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10413.p Calc_derivative.atn2_final_3
10417.p Calc_derivative.atn2_derivative
10418.p Calc_derivative.derived_form_atn2curry
10420.p Nonlinear_lemma.sqrt8_sqrt2
10423.p Nonlinear_lemma.SQRT_MUL_POW_2
10426.p Nonlinear_lemma.sol0_const1
10427.p Nonlinear_lemma.ineq_lemma_b
10428.p Nonlinear_lemma.ineq_square2
10431.p Nonlinear_lemma.sqrt2_nn
10432.p Nonlinear_lemma.sqrt3_nn
10433.p Nonlinear_lemma.abc_quadratic
10434.p Nonlinear_lemma.delta_quadratic
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10437.p Nonlinear_lemma.y_of_x_e
10442.p Nonlinear_lemma.dih_x_y
10443.p Nonlinear_lemma.dih2_x_y
10444.p Nonlinear_lemma.dih3_x_y
10448.p Nonlinear_lemma.sqrt8_2
10449.p Nonlinear_lemma.dih_x_sym
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10451.p Nonlinear_lemma.dih_y_sym
10452.p Nonlinear_lemma.dih_y_sym2
10453.p Nonlinear_lemma.sol_y_123
10454.p Nonlinear_lemma.rhazim2_alt
10455.p Nonlinear_lemma.rhazim3_alt
10456.p Nonlinear_lemma.taum_123
10458.p Nonlinear_lemma.rho_alt
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10465.p Nonlinear_lemma.lmfun0
10466.p Nonlinear_lemma.lmfun_lfun
10467.p Nonlinear_lemma.lmfun_lfun2
10468.p Nonlinear_lemma.edge_flat2_x_rewrite
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10473.p Nonlinear_lemma.hminus_cont
10474.p Nonlinear_lemma.hminus_exists
10475.p Nonlinear_lemma.hminus_high
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10477.p Nonlinear_lemma.h0_lt_hplus
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10479.p Nonlinear_lemma.hminus_prop_conjunct1
10482.p Nonlinear_lemma.gcy_high
10483.p Nonlinear_lemma.gcy_low
10486.p Nonlinear_lemma.c2001
10489.p Nonlinear_lemma.vol4f_lmfun
10491.p Nonlinear_lemma.vol3f_palt
10495.p Nonlinear_lemma.ACS_2
10500.p Nonlinear_lemma.ineq_expand6
10512.p Nonlinear_lemma.sqrtxx
10513.p Nonlinear_lemma.hm0
10514.p Nonlinear_lemma.lmdih0
10515.p Nonlinear_lemma.lmdih3_0
10516.p Nonlinear_lemma.lmdih5_0
10525.p Nonlinear_lemma.lmdih_ldih
10526.p Nonlinear_lemma.lmdih3_ldih3
10527.p Nonlinear_lemma.lmdih5_ldih5
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10573.p Nonlinear_lemma.h0_lt_gt_conjunct0
10585.p Nonlinear_lemma.tame_table_d_values_conjunct0
10595.p Compute_2158872499.ATN_UPS_X_BREAKDOWN1
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10599.p Compute_2158872499.compute_two_first
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10605.p Euler_complement.LEMMA_FOR_EULER_AFTER_RESCALE
10606.p Euler_complement.DIHV_RESCALE_UNCHANGED
10607.p Euler_complement.COMPUTE_EULER_P_AFTER_RESCALE
10608.p Euler_complement.VECTOR_EQ_COMPONENT
10609.p Euler_complement.COMPUTE_DELTA_X_AFTER_RESCALE
10611.p Euler_complement.EULER_FORMULA_RESCALE
10613.p Euler_complement.REAL_LT_RSQRT2
10614.p Euler_complement.EULER_TRIANGLE_REAL_INTERVAL
10615.p Euler_complement.OJEKOJF2
10616.p Euler_complement.COMPUTE_DIHV_ATN2
10617.p Euler_multivariate.HAS_REAL_DERIVATIVE_ZERO_CONSTANT2
10619.p Euler_multivariate.SQRT_RULE_Euler_lemma
10621.p Euler_multivariate.DERIVATIVE_WRT_C1_Euler_lemma
10622.p Euler_multivariate.DERIVATIVE_WRT_A_Euler_lemma
10623.p Euler_main_theorem.EULER_ANGLE_SUM_rescal
10624.p Euler_main_theorem.EULER_TRIANGLE
10628.p Hvihvec.VECTOR_ANGLE_DOUBLECROSS
10629.p Hvihvec.HVIHVEC
10634.p Vol1.th3
10635.p Vol1.identity_scale
10637.p Vol1.SET_EQ
10638.p Vol1.scale_mul
10639.p Vol1.normball_ellip0
10640.p Vol1.trans_normball
10641.p Vol1.measurable_normball0
10642.p Vol1.measurable_normball
10643.p Vol1.rsduong
10645.p Vol1.rduong
10647.p Vol1.rs_sr_unit
10649.p volume_props_conjunct10
10653.p volume_props_conjunct0
10654.p Vol1.VOLUME_FIX
10655.p Vol1.lemma_r_r'
10656.p Vol1.lemma_r_r'_fix
10657.p Vol1.normball_subset
10658.p Vol1.subset_inter
10659.p Vol1.normball_eq
10660.p Vol1.radial_normball
10661.p Vol1.pow3_identity
10662.p Vol1.pre_def1_4_3b
10663.p Vol1.pre_def_4_3b
10664.p Vol1.AFF_GT_1_3
10665.p Vol1.aff_normball
10666.p Vol1.aff_gt_radial
10667.p Vol1.tr5
10668.p Vol1.tr6
10669.p Vol1.inter_radial
10670.p Vol1.COMPONENT_LE_NORM_3
10671.p Vol1.component_hinhcau_bound
10672.p Vol1.finite_int_interval
10673.p Vol1.lm1
10674.p Vol1.lm2
10675.p Vol1.vector_eq1
10676.p Vol1.trip_eq
10677.p Vol1.int_ball_subset_CROSS
10678.p Pack1.FINITE_IMAGE_INJ
10679.p Vol1.finite_cross_int_interval
10680.p Pack1.finite_int_ball
10681.p Vol1.disjoint_line_interval
10682.p Vol1.vector_eq2
10683.p Vol1.nonempty_cube
10684.p Vol1.disjoint_cube
10689.p Vol1.int_ball_card_eq
10690.p Vol1.cube_eq_interval
10691.p Vol1.measurable_cube
10692.p Vol1.finite_set_of_cube
10693.p Vol1.measurable_unions_cube
10694.p Vol1.non_empty_cinterval
10697.p Vol1.measure_cube
10698.p Vol1.has_measure_cube
10699.p Vol1.negligible_cube
10700.p Vol1.SUM_CONST2
10701.p Vol1.measure_unions_of_cube
10702.p Vol1.pow_lesthan_1
10703.p Vol1.cube_to_ball
10704.p Vol1.unions_cube_subset_ball
10706.p Vol1.measure_unions_cube_less_ball
10707.p Vol1.measure_hinhcau
10708.p Vol1.WQZISRI
10709.p Vol1.daumut_ccube
10710.p Vol1.different_ccube
10711.p Vol1.inj_map1
10712.p Vol1.surj2_map1
10713.p Vol1.int_ball_card_eq_ccube
10714.p Vol1.ccube_eq_interval
10715.p Vol1.measurable_ccube
10716.p Vol1.finite_set_of_ccube
10717.p Vol1.measurable_unions_ccube
10718.p Vol1.measure_ccube
10720.p Vol1.measure_element_set_ccube
10721.p Vol1.sum_measure_ccube
10722.p Vol1.mea_unions_ccube_le_card
10723.p Vol1.in_ccube_floor
10724.p Vol1.pow_lesthan_eq_1
10725.p Vol1.ccube_to_ball
10726.p Vol1.ball_subset_union_ccube
10727.p Vol1.volume_ball_gon
10728.p Vol1.lower_bound_measure_unions_ccube
10729.p Vol1.PWVIIOL
10730.p Vol1.int_ball_subset
10731.p Vol1.card_int_ball_ineq
10732.p Vol1.eq_def_intball
10733.p Vol1.card_int_ball_le
10734.p Vol1.card_int_ball_le2
10735.p Vol1.card_int_ball_pos
10736.p Vol1.bdt1_finiteness
10737.p Vol1.bdt2_finiteness
10738.p Vol1.bdt3_finiteness
10739.p Vol1.bdt4_finiteness
10740.p Vol1.card_diff_ineq
10741.p Vol1.bdt6_finiteness
10742.p Vol1.bdt5_finiteness
10743.p Vol1.bdt7_finiteness
10745.p Fan.POWER_1
10746.p Fan.POWER_2
10747.p Hypermap.lemma_two_series_eq
10748.p Hypermap.lemma_add_one_assumption
10749.p Hypermap.lemma_sub_part
10751.p Hypermap.edge_map_and_darts
10752.p Hypermap.node_map_and_darts
10753.p Hypermap.face_map_and_darts
10756.p Hypermap.LEFT_INVERSE_EQUATION
10757.p Hypermap.RIGHT_INVERSE_EQUATION
10758.p Hypermap.iterate_orbit
10759.p Hypermap.orbit_subset
10761.p Hypermap.COM_POWER_FUNCTION
10762.p Hypermap.POWER_FUNCTION
10763.p Hypermap.addition_exponents
10764.p Hypermap.multiplication_exponents
10766.p Hypermap.power_map_fix_point
10767.p Hypermap.lemma_add_exponent_function
10770.p Hypermap.in_orbit_lemma
10771.p Hypermap.lemma_in_orbit
10772.p Hypermap.orbit_one_point
10773.p Hypermap.lemma_orbit_finite
10774.p Hypermap.orbit_cyclic
10775.p Hypermap.power_permutation
10776.p Hypermap.inverse_function
10777.p Hypermap.lemma_4functions
10778.p Hypermap.lemma_power_inverse_map
10779.p Hypermap.lemma_power_inverse
10780.p Hypermap.inverse_power_function
10781.p Hypermap.edge_map_inverse_representation
10782.p Hypermap.node_map_inverse_representation
10783.p Hypermap.face_map_inverse_representation
10787.p Hypermap.node_map_injective
10789.p Hypermap.face_map_injective
10790.p Hypermap.lemma_dart_invariant
10791.p Hypermap.lemma_dart_invariant_power_node
10792.p Hypermap.lemma_dart_invariant_power_face
10793.p Hypermap.lemma_dart_inveriant_under_inverse_maps
10794.p Hypermap.IMAGE_SEG
10795.p Hypermap.FINITE_SERIES
10796.p Hypermap.CARD_FINITE_SERIES_LE
10797.p Hypermap.LEMMA_INJ
10798.p Hypermap.LEMMA_INJ2
10799.p Hypermap.CARD_FINITE_SERIES_EQ
10800.p Hypermap.LM_AUX
10801.p Hypermap.LM1
10802.p Hypermap.lemma_sub_two_numbers
10803.p Hypermap.LT1_NZ
10804.p Hypermap.LT_SUC_PRE
10805.p Hypermap.LE_SUC_PRE
10806.p Hypermap.LT_PRE
10807.p Hypermap.SUC_PRE_2
10808.p Hypermap.LE_MOD_SUC
10809.p Hypermap.LT_RIGHT_SUC
10810.p Hypermap.LE_RIGHT_SUC
10811.p Hypermap.LT_PRE_LE
10812.p Hypermap.compare_left
10813.p Hypermap.compare_right
10814.p Hypermap.le_compare_left
10815.p Hypermap.le_compare_right
10816.p Hypermap.SEGMENT_TO_ONE
10817.p Hypermap.SEGMENT_TO_TWO
10818.p Hypermap.EXPAND_SET_TWO_ELEMENTS
10820.p Hypermap.lemma_add_one_assumption_lt
10821.p Hypermap.lemma_sub_list
10822.p Hypermap.lemma_inj_list
10823.p Hypermap.lemma_inj_list2
10824.p Hypermap.lemma_finite_list
10825.p Hypermap.lemma_size_list
10830.p Hypermap.lemma_set_disjoint
10831.p Hypermap.lemma_list_disjoint1
10832.p Hypermap.lemma_list_disjoint2
10833.p Hypermap.lemma_list_disjoint
10834.p Hypermap.start_glue_evaluation
10835.p Hypermap.first_glue_evaluation
10836.p Hypermap.second_glue_evaluation
10838.p Hypermap.lemma_glue_inj_lists
10839.p Hypermap.first_join_evaluation
10840.p Hypermap.second_join_evaluation
10841.p Hypermap.lemma_join_inj_lists
10843.p Hypermap.inj_iterate_lemma
10844.p Hypermap.finite_order
10846.p Hypermap.inverse_element_lemma
10848.p Hypermap.lemma_permutation_via_its_inverse
10849.p Hypermap.power_inverse_element_lemma
10850.p Hypermap.inverse_relation
10851.p Hypermap.power_power_relation
10852.p Hypermap.elim_power_function
10854.p Hypermap.orbit_reflect
10855.p Hypermap.orbit_sym
10856.p Hypermap.orbit_trans
10857.p Hypermap.partition_orbit
10858.p Hypermap.card_orbit_le
10859.p Hypermap.cyclic_maps
10861.p Hypermap.edge_refl
10862.p Hypermap.node_refl
10863.p Hypermap.face_refl
10865.p Hypermap.inverse_hypermap_maps
10866.p Hypermap.inverse2_hypermap_maps
10867.p Hypermap.lemmaZHQCZLX
10868.p Hypermap.CARD_TWO_ELEMENTS
10869.p Hypermap.FINITE_TWO_ELEMENTS
10870.p Hypermap.CARD_ATLEAST_1
10871.p Hypermap.CARD_ATLEAST_2
10872.p Hypermap.orbit_single_lemma
10873.p Hypermap.finite_orbits_lemma
10875.p Hypermap.lemma_partition
10876.p Hypermap.lemma_card_of_disjoint_covering
10877.p Hypermap.card_partition_formula
10878.p Hypermap.lemma_card_lower_bound
10879.p Hypermap.lemma_card_eq
10880.p Hypermap.lemma_orbit_convolution_map
10881.p Hypermap.lemma_nondegenerate_convolution
10882.p Hypermap.lemmaTGJISOK
10883.p Hypermap.lemma_subpath
10884.p Hypermap.lemma_path_subset
10885.p Hypermap.lemma_component_subset
10886.p Hypermap.lemma_edge_subset
10887.p Hypermap.lemma_node_subset
10888.p Hypermap.lemma_face_subset
10889.p Hypermap.lemma_component_reflect
10890.p Hypermap.lemma_def_path
10891.p Hypermap.lemma_edge_path
10892.p Hypermap.lemma_node_path
10893.p Hypermap.lemma_face_path
10894.p Hypermap.lemma_glue_paths
10895.p Hypermap.concatenate_two_paths
10896.p Hypermap.concatenate_paths
10897.p Hypermap.lemma_component_trans
10898.p Hypermap.lemma_reverse_path
10899.p Hypermap.lemma_component_symmetry
10900.p Hypermap.partition_components
10902.p Hypermap.lemma_subcontour
10903.p Hypermap.lemma_def_contour
10904.p Hypermap.lemma_glue_contours
10905.p Hypermap.concatenate_contours
10906.p Hypermap.lemma_node_contour
10907.p Hypermap.lemma_face_contour
10908.p Hypermap.existence_contour
10910.p Hypermap.lemma_sub_inj_contour
10912.p Hypermap.lemma_def_inj_contour
10913.p Hypermap.degenerate_lemma
10914.p Hypermap.lemma_category_darts
10915.p Hypermap.lemma_pair_representation
10916.p Hypermap.lemma_pair_eq
10917.p Hypermap.lemma_hypermap_eq
10918.p Hypermap.lemma_hypermap_rep
10919.p Hypermap.shift_lemma
10920.p Hypermap.double_shift_lemma
10921.p Hypermap.walkup_permutes
10922.p Hypermap.PERMUTES_COMPOSITION
10923.p Hypermap.lemma_edge_walkup
10924.p Hypermap.node_map_walkup
10925.p Hypermap.face_map_walkup
10926.p Hypermap.lemma_edge_degenerate
10927.p Hypermap.lemma_node_degenerate
10928.p Hypermap.lemma_face_degenerate
10929.p Hypermap.fixed_point_lemma
10930.p Hypermap.non_fixed_point_lemma
10931.p Hypermap.lemma_inverse_maps_at_nondegenerate_dart
10932.p Hypermap.aux_permutes_conversion
10933.p Hypermap.edge_map_walkup
10934.p Hypermap.lemma_inj_orbit_via_list
10935.p Hypermap.lemma_def_inj_orbit
10936.p Hypermap.lemma_inj_orbit
10938.p Hypermap.inj_orbit_step
10939.p Hypermap.lemma_subset_orbit
10940.p Hypermap.lemma_segment_orbit
10941.p Hypermap.lemma_cycle_orbit
10942.p Hypermap.lemma_index_on_orbit
10943.p Hypermap.lemma_congruence_on_orbit
10944.p Hypermap.INVERSE_EVALUATION
10945.p Hypermap.lemma_orbit_identity
10946.p Hypermap.lemma_edge_identity
10947.p Hypermap.lemma_node_identity
10948.p Hypermap.lemma_face_identity
10950.p Hypermap.INVERSE_POWER_MAP
10952.p Hypermap.lemma_in_disjoint
10954.p Hypermap.lemma_orbit_power
10955.p Hypermap.lemma_inverse_in_orbit
10957.p Hypermap.lemma_planar_hypermap
10958.p Hypermap.lemma_null_hypermap_planar_index
10959.p Hypermap.lemma_shift_component_invariant
10960.p Hypermap.lemma_planar_invariant_shift
10961.p Hypermap.in_orbit_map1
10962.p Hypermap.lemma_orbit_eq
10963.p Hypermap.lemma_not_in_orbit_powers
10964.p Hypermap.lemma_walkup_nodes
10965.p Hypermap.lemma_walkup_faces
10966.p Hypermap.lemma_walkup_first_edge_eq
10967.p Hypermap.lemma_walkup_second_edge_eq
10968.p Hypermap.lemma_walkup_edges
10969.p Hypermap.in_set_of_orbits
10970.p Hypermap.lemma_in_hypermap_orbits
10971.p Hypermap.lemma_in_edge_set
10972.p Hypermap.lemma_in_node_set
10973.p Hypermap.lemma_in_face_set
10974.p Hypermap.lemma_edge_representation
10975.p Hypermap.lemma_node_representation
10976.p Hypermap.lemma_face_representation
10978.p Hypermap.lemma_in_subset
10979.p Hypermap.lemma_complement_two_edges
10981.p Hypermap.lemma_in_walkup_dart
10982.p Hypermap.lemma_edge_map_walkup_in_dart
10983.p Hypermap.lemma_node_map_walkup_in_dart
10986.p Hypermap.lemma_in_edge
10987.p Hypermap.lemma_in_edge2
10988.p Hypermap.lemma_edge_cycle
10989.p Hypermap.lemma_edge_split
10990.p Hypermap.lemma_edge_merge
10991.p Hypermap.lemma_shift_non_degenerate
10995.p Hypermap.lemma_double_shift_non_degenerate
10999.p Hypermap.lemma_powers_in_component
11000.p Hypermap.lemma_inverses_in_component
11002.p Hypermap.lemma_node_subset_component
11003.p Hypermap.lemma_face_subset_component
11004.p Hypermap.lemma_component_identity
11005.p Hypermap.lemma_walkup_first_component_eq
11006.p Hypermap.lemma_walkup_second_component_eq
11007.p Hypermap.lemma_walkup_components
11008.p Hypermap.edge_degenerate_walkup_edge_map
11009.p Hypermap.node_degenerate_walkup_node_map
11010.p Hypermap.node_degenerate_walkup_edge_map
11011.p Hypermap.face_degenerate_walkup_face_map
11012.p Hypermap.face_degenerate_walkup_edge_map
11013.p Hypermap.edge_degenerate_walkup_first_eq
11014.p Hypermap.edge_degenerate_walkup_second_eq
11015.p Hypermap.edge_degenerate_walkup_third_eq
11016.p Hypermap.lemma_shift_cycle
11017.p Hypermap.lemma_eq_iff_shift_eq
11018.p Hypermap.lemma_degenerate_walkup_first_eq
11019.p Hypermap.lemma_degenerate_walkup_second_eq
11021.p Hypermap.component_at_isolated_dart
11022.p Hypermap.LEMMA_CARD_DIFF
11023.p Hypermap.CARD_MINUS_ONE
11024.p Hypermap.CARD_MINUS_DIFF_TWO_SET
11025.p Hypermap.EDGE_FINITE
11026.p Hypermap.EDGE_NOT_EMPTY
11027.p Hypermap.NODE_FINITE
11028.p Hypermap.NODE_NOT_EMPTY
11029.p Hypermap.FACE_FINITE
11030.p Hypermap.FACE_NOT_EMPTY
11031.p Hypermap.FINITE_HYPERMAP_ORBITS
11032.p Hypermap.FINITE_HYPERMAP_COMPONENTS
11033.p Hypermap.WALKUP_EXCEPTION_COMPONENT
11034.p Hypermap.lemma_in_components
11036.p Hypermap.lemma_different_edges
11037.p Hypermap.lemma_different_nodes
11038.p Hypermap.lemma_different_faces
11040.p Hypermap.lemma_planar_index_on_walkup_at_edge_degenerate_dart
11041.p Hypermap.lemma_planar_index_on_walkup_at_degenerate_dart
11042.p Hypermap.lemma_card_walkup_dart
11043.p Hypermap.lemma_splitting_case_count_edges
11044.p Hypermap.lemma_merge_case_count_edges
11045.p Hypermap.lemma_walkup_count_nodes
11046.p Hypermap.lemma_walkup_count_faces
11047.p Hypermap.lemma_walkup_count_splitting_components
11048.p Hypermap.lemma_walkup_count_not_splitting_components
11049.p Hypermap.lemma_planar_index_on_nondegenerate
11051.p Hypermap.lemma_desc_planar_index
11053.p Hypermap.lemmaFOAGLPA
11054.p Hypermap.lemmaSGCOSXK
11055.p Hypermap.convolution_rep
11056.p Hypermap.convolution_inv
11057.p Hypermap.convolution_belong
11058.p Hypermap.edge_convolution
11059.p Hypermap.edge_map_convolution
11060.p Hypermap.lemma_convolution_evaluation
11061.p Hypermap.lemma_convolution_map
11062.p Hypermap.lemma_orbit_of_size_2
11064.p Hypermap.NODE_OF_SIZE_2
11065.p Hypermap.FACE_OF_SIZE_2
11066.p Hypermap.lemma_sub_unions_diff
11067.p Hypermap.lemma_card_unions_diff
11068.p Hypermap.lemma_card_partion2_unions
11069.p Hypermap.CARD_UNION_EDGES_LE
11070.p Hypermap.lemma_card_partion2_unions_approx
11071.p Hypermap.lemma_card_partion2_unions_eq
11072.p Hypermap.lemma_card_partion1_unions_eq
11073.p Hypermap.lemma_permutes_exception
11074.p Hypermap.map_permutes_outside_domain
11075.p Hypermap.power_permutation_outside_domain
11076.p Hypermap.lemma_edge_exception
11077.p Hypermap.lemma_node_exception
11078.p Hypermap.lemma_face_exception
11079.p Hypermap.lemma_simple_hypermap
11080.p Hypermap.double_edge_walkup_plain_hypermap
11081.p Hypermap.lemma_representaion_Wn
11082.p Hypermap.lemma_representaion_Wf
11083.p Hypermap.double_node_walkup_plain_hypermap
11084.p Hypermap.double_face_walkup_plain_hypermap
11086.p Hypermap.lemma_contour_in_dart
11087.p Hypermap.lemma_darts_in_contour
11088.p Hypermap.lemma_first_dart_on_inj_contour
11089.p Hypermap.lemma_darts_on_Moebius_contour
11090.p Hypermap.lemma_Moebius_contour_points_subset_darts
11091.p Hypermap.lemma_darts_is_Moebius_contour
11094.p Hypermap.lemma_eliminate_dart_ouside_Moebius_contour
11095.p Hypermap.lemma_shift_path_evaluation
11097.p Hypermap.lemma_shift_contour
11098.p Hypermap.lemma_shift_inj_contour
11099.p Hypermap.lemma_join_contours
11100.p Hypermap.lemma_inj_contour_via_list
11101.p Hypermap.lemma_join_inj_contours
11102.p Hypermap.lemma_glue_inj_contours
11103.p Hypermap.concatenate_two_contours
11104.p Hypermap.concatenate_two_disjoint_contours
11105.p Hypermap.lemmaQZTPGJV
11106.p Hypermap.lemma_one_step_contour
11107.p Hypermap.lemma_only_one_orbit
11109.p Hypermap.lemma_only_one_component
11110.p Hypermap.lemma_minimum_Moebius_hypermap
11111.p Hypermap.dart_face_walkup
11112.p Hypermap.lemma_card_face_walkup_dart
11113.p Hypermap.face_map_face_walkup
11114.p Hypermap.node_map_face_walkup
11115.p Hypermap.dart_node_walkup
11116.p Hypermap.lemma_card_node_walkup_dart
11117.p Hypermap.node_map_node_walkup
11118.p Hypermap.face_map_node_walkup
11119.p Hypermap.lemma_face_walkup_second_segment_contour
11120.p Hypermap.lemma_face_walkup_eliminate_dart_on_Moebius_contour
11121.p Hypermap.lemma_node_walkup_second_segment_contour
11122.p Hypermap.lemma_node_walkup_eliminate_dart_on_Moebius_contour
11123.p Hypermap.lemmaLIPYTUI
11124.p Hypermap.exist_loop
11126.p Hypermap.lemma_loop_representation
11127.p Hypermap.lemma_loop_identity
11128.p Hypermap.lemma_permute_loop
11129.p Hypermap.lemma_transitive_permutation
11132.p Hypermap.lemma_congruence_on_loop
11135.p Hypermap.lemma_inverse_on_loop
11145.p Hypermap.determine_loop_index
11149.p Hypermap.let_order_for_loop
11151.p Hypermap.samsara_formula
11153.p Hypermap.lemma_permutes_via_surjetive
11155.p Hypermap.lemma_suc_mod
11156.p Hypermap.lemma_from_index
11157.p Hypermap.lemma_from_index2
11158.p Hypermap.lemma_samsara_permute
11159.p Hypermap.lemma_samsara_power
11160.p Hypermap.lemma_generate_loop
11161.p Hypermap.lemma_make_contour_loop
11162.p Hypermap.lemma_number_darts_of_inj_contour
11164.p Hypermap.lemma_dart_loop_via_path
11166.p Hypermap.lemmaILTXRQD
11167.p Hypermap.inj_orbit_imp_inj_face_contour
11168.p Hypermap.lemma_inj_face_contour
11169.p Hypermap.lemma_face_cycle
11170.p Hypermap.lemma_card_inverse_map_eq
11171.p Hypermap.inj_orbit_imp_inj_node_contour
11172.p Hypermap.lemma_inj_node_contour
11173.p Hypermap.lemma_node_cycle
11174.p Hypermap.lemma_node_inverse_cycle
11175.p Hypermap.lemma_node_contour_connection
11176.p Hypermap.lemma_via_inverse_node_map
11177.p Hypermap.lemmaICJHAOQ
11179.p Hypermap.atom_reflect
11180.p Hypermap.atom_sym
11181.p Hypermap.lemma_transitive_going
11182.p Hypermap.lemma_on_way_going
11183.p Hypermap.lemma_second_on_way_going
11184.p Hypermap.atom_trans
11185.p Hypermap.lemma_atom_sub_loop
11186.p Hypermap.lemma_atom_out_side_loop
11187.p Hypermap.lemma_atom_sub_node
11190.p Hypermap.lemma_identity_atom
11191.p Hypermap.lemma_atom_absorb_quark
11192.p Hypermap.lemma_second_absorb_quark
11195.p Hypermap.lemma_border_of_atom
11197.p Hypermap.lemma_in_loop
11198.p Hypermap.lemma_in_dart
11199.p Hypermap.lemma_support_and_atoms
11201.p Hypermap.lemma_in_support2
11202.p Hypermap.lemma_in_support
11203.p Hypermap.lemma_node_in_support2
11204.p Hypermap.lemma_loop_outside_node
11206.p Hypermap.disjoint_loops
11210.p Hypermap.lemma_in_quotient
11218.p Hypermap.change_to_margin
11219.p Hypermap.change_parameters
11220.p Hypermap.margin_in_loop
11225.p Hypermap.face_map_on_margin
11226.p Hypermap.node_map_on_margin
11227.p Hypermap.node_map_free_loop
11230.p Hypermap.add_steps
11231.p Hypermap.add_steps_in_atom
11232.p Hypermap.lemma_in_atom
11234.p Hypermap.atomic_particles
11235.p Hypermap.atom_one_point
11244.p Hypermap.lemma_quotient
11255.p Hypermap.COMPOSE_INJ
11256.p Hypermap.COMPOSE_SURJ
11257.p Hypermap.COMPOSE_BIJ
11258.p Hypermap.BIJ_INVERSE
11259.p Hypermap.I_BIJ
11261.p Hypermap.iso_sym
11262.p Hypermap.iso_trans
11267.p Hypermap.lemmaQuotientFace
11269.p Hypermap.lemmaQF
11270.p Hypermap.lemma_support_QF
11272.p Hypermap.lemma_sub_support
11273.p Hypermap.lemma_in_QF
11274.p Hypermap.lemma_in_QuotientFace
11276.p Hypermap.lemma_in_node
11277.p Hypermap.lemma_in_node2
11281.p Hypermap.lemma_in_QN
11282.p Hypermap.lemma_in_QuotientNode
11283.p Hypermap.lemma_in_node3
11284.p Hypermap.lemma_in_face
11285.p Hypermap.face_map_restrict
11286.p Hypermap.power_res_face_map
11288.p Hypermap.lemma_inverse_res
11290.p Hypermap.lemma_edge_nondegenerate
11291.p Hypermap.normal_face_collection
11292.p Hypermap.lemma_support_face_collection
11294.p Hypermap.lemma_inverse_in_face
11295.p Hypermap.lemma_power_inverse_in_face
11296.p Hypermap.lemma_power_inverse_in_face2
11299.p Hypermap.lemma_power_inverse_in_node2
11300.p Hypermap.SING_EQ
11301.p Hypermap.face_quotient_lemma
11302.p Hypermap.set_one_point
11303.p Hypermap.lemma_canonical_function
11317.p Hypermap.lemma_in_node1
11318.p Hypermap.lemma_increasing_index_one
11319.p Hypermap.lemma_increasing_index
11320.p Hypermap.lemma_lower_bound_index
11321.p Hypermap.lemma_segment_complement
11323.p Hypermap.lemma_evaluation_complement
11324.p Hypermap.lemma_inc_monotone
11325.p Hypermap.lemma_inc_injective
11326.p Hypermap.lemma_inc_not_decreasing
11327.p Hypermap.lemma_num_partition
11328.p Hypermap.index_representation
11329.p Hypermap.lemma_num_partition2
11330.p Hypermap.lemma_complement_path
11331.p Hypermap.lemma_inj_complement
11336.p Hypermap.lemma_true_loop1
11338.p Hypermap.lemma_true_loop_via_map
11347.p Hypermap.lemma_singleton_atom
11350.p Hypermap.lemma_congruence_on_face
11354.p Hypermap.lemma_face_contour_on_loop
11358.p Hypermap.lemma_marked_dart
11359.p Hypermap.lemma_split_marked_loop
11362.p Hypermap.lemmaLoopSeparation
11368.p Hypermap.reduce_exponent
11371.p Hypermap.lemma_in_couple
11383.p Hypermap.lemma_separation_on_loop
11384.p Hypermap.atom_eq
11387.p Hypermap.square_edge_convolution
11391.p RC_INC
11392.p RC_REFL
11393.p RC_EXPLICIT
11394.p RC_MONO
11395.p RC_CLOSED
11397.p RC_SYM
11398.p RC_TRANS
11399.p SC_INC
11400.p SC_SYM
11401.p SC_EXPLICIT
11402.p SC_MONO
11403.p SC_CLOSED
11406.p TC_INC
11407.p TC_TRANS
11408.p TC_MONO
11409.p TC_CLOSED
11412.p TC_SYM
11413.p RC_SC
11415.p RC_TC
11418.p TC_TRANS_L
11419.p TC_TRANS_R
11420.p TC_CASES_L
11421.p TC_CASES_R
11422.p TC_INDUCT_L
11423.p TC_INDUCT_R
11424.p RSC_INC
11425.p RSC_REFL
11426.p RSC_SYM
11430.p RSC_CLOSED
11432.p RTC_INC
11433.p RTC_REFL
11434.p RTC_TRANS
11435.p RTC_RULES
11436.p RTC_TRANS_L
11441.p RTC_INDUCT
11442.p RTC_INDUCT_L
11444.p RTC_MONO
11445.p RTC_CLOSED
11454.p STC_INC
11455.p STC_SYM
11456.p STC_TRANS
11459.p STC_CASES
11460.p STC_CASES_L
11461.p STC_CASES_R
11462.p STC_INDUCT
11464.p STC_CLOSED
11467.p RSTC_INC
11468.p RSTC_REFL
11469.p RSTC_SYM
11470.p RSTC_TRANS
11479.p RSTC_CLOSED
11493.p RC_INV
11494.p SC_INV
11496.p TC_INV
11501.p RELPOW_R_conjunct1
11503.p RTC_RELPOW
11508.p Fan_defs.E_FAN_PAIR_EXT
11509.p Fan_defs.F_FAN_PAIR_EXT
11510.p Fan_defs.N_FAN_PAIR_EXT
11511.p Fan_defs.HYPERMAP_OF_FAN_ALT
11512.p Fan.graph
11513.p Fan.fan1
11514.p Fan.fan2
11515.p Fan.set_of_edge
11516.p Fan.fan6
11517.p Fan.fan7
11518.p Fan.FAN
11519.p Fan.GRAPH
11520.p Fan.CYCLIC_SET
11525.p Fan.FAN1_TRANSLATION_EQ
11526.p Fan.FAN1_LINEAR_IMAGE_EQ
11528.p Fan.FAN2_LINEAR_IMAGE_EQ
11529.p Fan.FAN3_TRANSLATION_EQ
11530.p Fan.FAN3_LINEAR_IMAGE_EQ
11531.p Fan.FAN4_TRANSLATION_EQ
11532.p Fan.FAN4_LINEAR_IMAGE_EQ
11534.p Fan.FAN5_LINEAR_IMAGE_EQ
11536.p Fan.FAN6_LINEAR_IMAGE_EQ
11538.p Fan.FAN7_LINEAR_IMAGE_EQ
11542.p Fan.BASE_POINT_FAN_LINEAR_IMAGE_EQ
11545.p Fan.set_edges_is_finite_fan
11547.p Fan.remark_finite_fan1
11548.p Fan.properties_of_set_of_edge
11549.p Fan.properties_of_set_of_edge_fan
11550.p Fan.properties_of_graph
11551.p Fan.th3a12
11552.p Fan.th3a
11553.p Fan.th3b
11554.p Fan.th3b1
11555.p Fan.th3c
11556.p Fan.th3d
11557.p Fan.th3
11558.p Fan.collinear1_fan
11559.p Fan.collinear_fan
11560.p Fan.th4
11561.p Fan.remark4_fan
11562.p Fan.collinears_fan
11563.p Fan.remark1_fan
11564.p Fan.exists_sigma_fan
11565.p Fan.exists_inverse_sigma_fan_alt
11566.p Fan.SIGMA_FAN
11567.p Fan.sigma_fan_in_set_of_edge
11568.p Fan.AFF_GE_2_1
11569.p Fan.AFF_GE_1_2
11570.p Fan.AFF_GE_1_1
11571.p Fan.UNIQUE_FOINT_FAN
11572.p Fan.UNIQUE1_POINT_FAN
11573.p Fan.UNIQUE_AZIM_POINT_FAN
11574.p Fan.UNIQUE_AZIM_0_POINT_FAN
11575.p Fan.UNIQUE_SIGMA_FAN
11576.p Fan.CYCLIC_SET_EDGE_FAN
11577.p Fan.subset_cyclic_set_fan
11578.p Fan.property_of_cyclic_set
11579.p Fan.property_of_cyclic_set1
11580.p Fan.property_of_cyclic_set2
11581.p Fan.property_of_cyclic_set3
11582.p Fan.properties_of_cyclic_set
11583.p Fan.xfan
11584.p Fan.image_power_map_points
11587.p Fan.remark_power_map_points
11588.p Fan.imp_norm_not_zero_fan
11589.p Fan.imp_norm_gl_zero_fan
11590.p Fan.imp_inv_norm_not_zero_fan
11591.p Fan.imp_norm_ge_zero_fan
11592.p Fan.norm_of_normal_vector_is_unit_fan
11593.p Fan.e3_mul_dist_fan
11594.p Fan.norm_dot_fan
11595.p Fan.e3_is_normal_fan
11596.p Fan.e2_is_normal_fan
11597.p Fan.e2_orthogonal_e3_fan
11598.p Fan.e1_is_normal_fan
11599.p Fan.e1_orthogonal_e3_fan
11600.p Fan.e1_orthogonal_e2_fan
11601.p Fan.e1_cross_e2_dot_e3_fan
11602.p Fan.orthonormal_e1_e2_e3_fan
11603.p Fan.dot_e2_fan
11604.p Fan.vdot_e2_fan
11605.p Fan.vcross_e3_fan
11606.p Fan.udot_e1_fan
11607.p Fan.udot_e1_fan1
11608.p Fan.vdot_e1_fan
11609.p Fan.properties_coordinate
11610.p Fan.module_of_vector
11611.p Fan.collinear_imp_azim_is_rezo_fan
11613.p Fan.SINCOS_PRINCIPAL_VALUE_FAN
11614.p Fan.sin_of_u_fan
11615.p Fan.cos_of_u_fan
11616.p Fan.sincos_of_u_fan
11617.p Fan.sincos1_of_u_fan
11619.p Fan.sum3_azim_fan
11620.p Fan.sum2_azim_fan
11621.p Fan.sum4_azim_fan
11622.p Fan.sum5_azim_fan
11623.p Fan.SUR_SIGMA_FAN
11624.p Fan.MONO_SIGMA_FAN
11625.p Fan.permutes_sigma_fan
11626.p Fan.exists_function_inverse_sigma_fan_alt
11627.p Fan.INVERSE1_SIGMA_FAN
11628.p Fan.EQ_PAIR_4
11629.p Fan.MONO_N_FAN
11630.p Fan.SUR_N_FAN
11632.p Fan.SUR_F1_FAN
11633.p Fan.MONO_F1_FAN
11634.p Fan.MONO_E_FAN
11635.p Fan.SUR_E_FAN
11636.p Fan.permuters_of_enf_fan
11637.p Fan.condition_hypermap_fan
11638.p Fan.plain_hypermap_fan
11639.p Fan.e_fan_no_fix_point
11640.p Fan.f_fan_no_fix_point
11642.p Fan.POWER_RIGHT
11643.p Fan.power_n_fan
11644.p Fan.distinct_nodes
11645.p Fan.edge_lie_different_nodes
11646.p Fan.finite_d1_fan
11647.p Fan.finite_d20_fan
11648.p Fan.finite_d_fan
11649.p Fan.subset_d_fan
11650.p Fan.FACE_FAN_NOT_EMPTY
11651.p Fan.into_domain_e_fan
11652.p Fan.into_domain1_e_fan
11653.p Fan.e_fan_permutes
11654.p Fan.into_domain_f1_fan
11655.p Fan.into_domain1_f1_fan
11657.p Fan.into_domain_n_fan
11658.p Fan.into_domain1_n_fan
11660.p Fan.id_enf_fan
11661.p Fan.id_power_enf_fan
11662.p Fan.into_domain_efn_fan
11663.p Fan.power_map_fix_set
11664.p Fan.into_domain_power_efn_fan
11665.p Fan.power_fun_in_domain
11666.p Fan.into_domain1_power_efn_fan
11667.p Fan.lemma_hypermap1_of_fanx
11668.p Fan.hypermap_of_fan_rep
11669.p Fan.properties_of_f1_fan
11670.p Fan.face_subset_dart_fan
11672.p Fan.fully_surrounded_is_non_isolated_fan
11673.p Fan.dartset_fully_surrounded_is_non_isolated_fan
11674.p Fan.properties_of_elements_in_face_fully_surroundedfan
11675.p Fan.AAUHTVE
11677.p Topology.MONO_AZIM_SIGMA_FAN
11678.p Topology.MONO_POWER_SIGMA_FAN
11679.p Topology.MONO_POWER_MAP_POINTS1_FAN
11680.p Topology.MONO_AZIM_POWER_SIGMA_FAN
11683.p Topology.if_azims_works_fan
11684.p Topology.addition_sigma_fan
11685.p Topology.fix_point_sigma_fan
11686.p Topology.i_IN_ORBITS_FAN
11687.p Topology.u_IN_ORBITS_FAN
11688.p Topology.IN_ORBITS_FAN
11689.p Topology.ORBITS_SUBSET_EDGE_FAN
11690.p Topology.CARD_ORBITS_EDGE_FAN_LE
11691.p Topology.FINITE_ORBITS_SIGMA_FAN
11692.p Topology.ORBITS_SIGMA_FAN
11697.p Topology.CARD_ORBITS_SIGMA_FAN_LE
11698.p Topology.exists_inverse_in_orbits_sigma_fan
11699.p Topology.key_lemma_cyclic_fan
11700.p Topology.cyclic_power_sigma_fan
11701.p Topology.CARD_SET_OF_ORBITS_POINTS_FAN
11702.p Topology.ORBITS_EQ_SET_EDGE_FAN
11703.p Topology.SIMP_ORBITS_POINTS_FAN
11704.p Topology.ORDER_POWER_SIGMA_FAN
11705.p Topology.SUM_IF_AZIMS_FAN
11706.p Topology.SUM_EQ_IF_AZIMS_FAN
11708.p Topology.AZIM_LE_POWER_SIGMA_FAN
11709.p Topology.SUM_AZIM_POWER_SIGMA_FAN
11711.p Topology.affine_hull_2_fan
11712.p Topology.AFF_GT_1_1
11713.p Topology.th
11714.p Topology.th1
11715.p Topology.th2
11716.p Topology.COMPLEMENT_SET_FAN
11717.p Topology.aff_gt_subset_wedge_fan2
11718.p Topology.wedge_fan2_subset_aff_gt
11719.p Topology.wedge_fan2_equal_aff_gt
11720.p Topology.wedge_fan2_equal_aff_gt_fan
11721.p Topology.w_dart_eq_wedge3_fan
11722.p Topology.UNION_FAN
11723.p Topology.aff_subset_aff_ge
11724.p Topology.eq_set_wdart_fan
11725.p Topology.eq_set_aff_gt
11726.p Topology.UNION1_FAN
11727.p Topology.CARD_SING
11729.p Topology.disjiont1_cor6dot1
11735.p Topology.disjiont_union_fan
11736.p Topology.aff_ge_subset_aff_gt_union_aff
11737.p Topology.IBZWFFH
11738.p Topology.aff_ge_inter_aff_ge
11740.p Topology.exp_aff_ge_by_dot
11741.p Topology.closed_aff_ge_2_1
11742.p Topology.closed_aff_ge_1_2
11743.p Topology.AFF_GE_1_1
11744.p Topology.exp_aff_ge_by_dot_1_1
11745.p Topology.closed_halfline_fan
11746.p Topology.closed_ballnorm_fan
11747.p Topology.bounded_ballnorm_fan
11748.p Topology.bounded_ballnorm_fans
11749.p Topology.closed_aff_ge_ballnorm_fan
11750.p Topology.compact_aff_ge_ballnorm_fan
11751.p Topology.closed_point_fan
11752.p Topology.exist_fan
11753.p Topology.exists_ballsets_fan
11754.p Topology.cone_ge_fan_inter_aff_ge_is_empty
11755.p Topology.subset_by_inequality_fan
11756.p Topology.cone_ge_fan_inter_aff_ge_is_empty_fan
11757.p Topology.rcone_subset_cone
11758.p Topology.origin_not_in_rcone_fan
11759.p Topology.inter_is_empty
11760.p Topology.avoids_fan
11761.p Topology.avoids1_fan
11762.p Topology.finish_avoids_fan
11763.p Topology.continuous_set_fan
11764.p Topology.CTVTAQA
11765.p Topology.expand_edge_graph_fan
11766.p Topology.finish_avoids1_fan
11767.p Topology.rw_dart_avoids_fan
11768.p Topology.r_fan_is_inter_halfspace
11769.p Topology.r1_ge_is_convex_fan
11770.p Topology.r2_ge_is_convex_fan
11771.p Topology.r3_ge_is_convex_fan
11772.p Topology.r1_le_is_convex_fan
11773.p Topology.r2_le_is_convex_fan
11774.p Topology.r3_le_is_convex_fan
11775.p Topology.r_is_connected_fan
11776.p Topology.continuous_change_spherical_coordinate_fan
11777.p Topology.one_edge_fan
11779.p Topology.rw_dart_is_image_set_spherical_coordinate
11780.p Topology.connected_rw_dart_fan
11781.p Topology.not_empty_rw_dart_fan
11782.p Topology.JGIYDLE
11783.p Topology.exists_leads_into_fan
11784.p Topology.DART_LEADS_INTO
11785.p Topology.unique_dart_leads_into
11786.p Topology.dart_leads_into_fan_in_topological_component_yfan
11788.p Topology.connected_dart_leads_into_fan
11790.p Fan_misc.EXTENSION_SIGMA_FAN_EQ_RES
11791.p Fan_misc.INVERSE_SIGMA_FAN
11792.p Fan_misc.EXTENSION_SIGMA_FAN_INJECTIVE
11793.p Fan_misc.IN_SET_OF_EDGE
11794.p Fan_misc.FAN_IN_SET_OF_EDGE
11795.p Fan_misc.INVERSE_SIGMA_FAN_EQ_INVERSE1_SIGMA_FAN
11796.p Planarity.collinear_continuous_fan
11797.p Planarity.collinear1_continuous_fan
11800.p Planarity.open_vector_angle_fan
11801.p Planarity.exists_open_not_collinear
11802.p Planarity.exist_close_fan
11803.p Planarity.AFF_GT_1_2
11804.p Planarity.linear_aff_fan
11807.p Planarity.origin_point_not_in_convex_fan
11808.p Planarity.separate_point_convex_fan
11809.p Planarity.expansion_convex_fan
11810.p Planarity.expansion1_convex_fan
11811.p Planarity.norm_origin_fan
11812.p Planarity.origin_point_not1_in_convex_fan
11813.p Planarity.inequality1_fan
11814.p Planarity.bounded_convex_fan
11815.p Planarity.REAL_ABS_SUB_NORM
11816.p Planarity.inequaility2_fan
11817.p Planarity.exists_point_small_edges_fan
11819.p Planarity.same_projective_sphere_gt_fan
11820.p Planarity.separate1_sphere_fan
11821.p Planarity.scale_aff_ge_fan
11822.p Planarity.scale_aff_gt_fan
11823.p Planarity.origin_is_not_aff_gt_fan
11825.p Planarity.azim_line_fan
11826.p Planarity.continuous_coplanar_fan
11827.p Planarity.open_is_not_zero_fan
11829.p Planarity.injective_azim_coplanar
11830.p Planarity.fan_run_in_small21_is_fan
11831.p Planarity.fan_run_in_small2_is_fan
11832.p Planarity.AFF_GT_2_2
11833.p Planarity.extension_in_aff_2_2_fan
11834.p Planarity.inequality3_aim_in_convex_fan
11835.p Planarity.fan_run_in_small3_is_fan
11836.p Planarity.properties_fully_surrounded
11837.p Planarity.fan_run_in_small_is_fan
11838.p Planarity.fan_run1_in_small_is_fan
11839.p Planarity.fan_run_in_small_is_not_meet_xfan
11840.p Planarity.fan_run_in_small_is_subset_yfan
11841.p Planarity.not_collinear_is_properties_fully_surrounded1
11842.p Planarity.not_collinear_is_properties_fully_surrounded
11843.p Planarity.exists_inf_element_fix_fan
11844.p Planarity.exists_element_in_half_sapace_fan
11846.p Planarity.independent_run_edges_fan
11848.p Planarity.IMP_NORM_FAN
11849.p Planarity.cross_dot_fully_surrounded_fan
11850.p Planarity.cross_dot_fully_surrounded_ge_fan
11851.p Planarity.AFF_LT_2_1
11852.p Planarity.properties_of_collinear4_points_fan
11853.p Planarity.cross_dot_fully_surrounded1_fan
11854.p Planarity.exists_cross_dot_fully_surrounded1_fan
11855.p Planarity.cross_dot_fully_surrounded2_fan
11856.p Planarity.exists_cross_dot_fully_surrounded2_fan
11857.p Planarity.properties_of_coplanar
11858.p Planarity.coplanar_is_cross_fan
11859.p Planarity.lie_in_half_space_and_azim
11860.p Planarity.exists_cut_small_edges_fan
11861.p Planarity.aff_gt_subset_aff_ge
11862.p Planarity.aff_gt1_subset_aff_ge
11863.p Planarity.aff_gt12_subset_aff_ge
11864.p Planarity.aff_gt2_subset_aff_ge
11865.p Planarity.remove_variable_fan
11866.p Planarity.aff_gt_inter_aff_gt
11867.p Planarity.aff_gt3_subset_aff_gt
11868.p Planarity.aff_ge1_subset_aff_ge
11869.p Planarity.aff_ge1_1_subset_aff_ge
11870.p Planarity.decomposition_planar_by_angle_fan
11871.p Planarity.properties_of_fan7
11872.p Planarity.properties1_of_fan7
11873.p Planarity.point_in_aff_ge
11874.p Planarity.aff_ge_subset_aff_gt_union_aff_ge
11875.p Planarity.pos_in_aff_ge_fan
11876.p Planarity.aff_gt1_subset_aff_gt
11877.p Planarity.not_cut_inside_fan
11878.p Planarity.aff_ge_eq_aff_gt_union_aff_ge
11879.p Planarity.AFFINE_HULL_1
11880.p Planarity.exist_close1_fan
11881.p Planarity.properties_inside_collinear0_fan
11883.p Planarity.properties_inside_collinear_fan
11884.p Planarity.properties_inside_collinear1_fan
11885.p Planarity.lemma_proof0_fan
11886.p Planarity.lemma_proof1_fan
11887.p Planarity.GRAPH
11889.p Planarity.lemma_proof_fan
11890.p Planarity.remark012_fan
11891.p Planarity.remark01_fan
11892.p Planarity.remark0_fan
11894.p Planarity.inequality1_not0_fan
11895.p Planarity.bounded_convex1_fan
11896.p Planarity.inequaility2_not0_fan
11897.p Planarity.exists_point_small_edges_not0_fan
11898.p Planarity.separate1_sphere_not0_fan
11899.p Planarity.fan_run_in_small11_not0_is_fan
11901.p Planarity.fan_run_in_small2_not0_is_fan
11902.p Planarity.fan_run_in_small3_not0_is_fan
11903.p Planarity.fan_run_in_small_not0_is_fan
11904.p Planarity.fan_run1_in_small_not0_is_fan
11905.p Planarity.cut_in_edges_fan
11906.p Planarity.not_cut_in_edges_fan
11907.p Planarity.lie_in_half_space_and_azim_le
11908.p Planarity.cross_dot_fully_surrounded1_fan_le
11909.p Planarity.exists_cross_dot_fully_surrounded1_fan_le
11910.p Planarity.cross_dot_fully_surrounded2_fan_le
11911.p Planarity.exists_cross_dot_fully_surrounded2_fan_le
11912.p Planarity.exists_cut_small_edges_fan_le
11913.p Planarity.AFF_GT_CUT_XFAN_IMP_EDGE_FAN
11915.p Planarity.exists_in_aff_gt
11916.p Planarity.cut_inside_fan
11917.p Planarity.exists_cut_in_edge_fan
11918.p Planarity.notcoplanar_imp_notcollinear_fan
11919.p Planarity.properties_of_fully_surrounded1_fan
11920.p Planarity.in_aff_2_2_fan
11921.p Planarity.inequality4_aim_in_convex_fan
11922.p Planarity.condition_to_in_aff_gt_by_angle
11923.p Planarity.condition1_to_in_aff_gt_by_angle
11924.p Planarity.angle_is_small_fan
11925.p Planarity.angle_is_smallpi_fan
11926.p Planarity.exists_rw_dart_inter_aff_gt_fan
11927.p Planarity.scale_in_edges_fan
11928.p Planarity.aff_gt_imp_not_collinear
11929.p Planarity.conditions_in_rcone_fan
11930.p Planarity.exists_point_inside_domain_cone_fan
11931.p Planarity.cut_in_angle_fan
11932.p Planarity.aff_gt_1_2_scale_fan
11933.p Planarity.exists_cut_rcone_fan_with_edge_run_fan
11934.p Planarity.aff_gt_in_rw_dart_fan
11935.p Planarity.in_aff_gt_1_2
11936.p Planarity.exists_rw_dart_inter_aff_gt1_fan
11938.p Planarity.CONNECTED_COMPONENT_OF_SUBSET
11939.p Planarity.connected_component_of_faces_fan
11940.p Planarity.exists_dartset_leads_into_fan
11941.p Planarity.DARTSET_LEADS_INTO_FAN
11942.p Planarity.UNIQUE_DARTSET_LEADS_INTO_FAN
11943.p Planarity.equality_dart_leads_into
11944.p Planarity.UNIQUE_DARTSET_LEADS_INTO1_FAN
11945.p Planarity.exists_point_dart_leads_into_fan
11946.p Planarity.dartset_leads_into_is_topological_component_yfan
11947.p Planarity.dartset_leads_into_subset_yfan
11949.p Planarity.add_edge_graph_fan
11950.p Planarity.garph_add_edge_is_garph
11951.p Planarity.add_edge_into_collinear_fan
11952.p Planarity.condition_not_edge_fan
11953.p Planarity.properties_edges_eq_fan
11954.p Planarity.condition_not_intersection_fan
11955.p Planarity.exists_edge_fully_surround_fan
11956.p Planarity.condition_not_intersection_point_fan
11957.p Planarity.DWWUTKW
11958.p Planarity.exists_point_in_component_yfan
11959.p Planarity.nonsetedge_fully_surround_fan
11961.p Planarity.x_in_xfan
11963.p Planarity.xfan_closed_fan
11964.p Planarity.topological_component_subset_yfan
11965.p Planarity.aff_gt_connect_bound_not_inter_edges_fan
11966.p Planarity.aff_gt_connect_bound_subset_yfan
11967.p Planarity.sym_line1_fan
11968.p Planarity.POINT_IN_LINE
11969.p Planarity.POINT_IN_LINE1
11970.p Planarity.AFFINE_HULL_AFFINE_EQ
11971.p Planarity.sym_line0_fan
11972.p Planarity.sym_line_fan
11973.p Planarity.sym_line01_fan
11974.p Planarity.sym_line02_fan
11976.p Planarity.sym_line_fan1
11977.p Planarity.aff_ge_1_1_subset_aff_fan
11978.p Planarity.exists_point_notxin_convex_in_xfan
11979.p Planarity.notempty_xfan_inter_segment_fan
11980.p Planarity.xfan_inter_segment_closed_fan
11981.p Planarity.point_in_yfan_not_x_fan
11982.p Planarity.zpoint_in_yfan
11983.p Planarity.segment_in_segment
11984.p Planarity.connect_insidepoint_to_bound_yfan
11985.p Planarity.expand_element_in_topological_component_yfan
11986.p Planarity.segmentsubset_aff_gt
11987.p Planarity.point_in_aff_gt_in_yfan
11988.p Planarity.segment_subset_yfan
11989.p Planarity.exists_in_aff_gt_disjoint
11990.p Planarity.aff_gt_subset_component_y_fan
11992.p Planarity.place_there_point_line_fan
11993.p Planarity.aff_ge_1_1_subset_xfan
11994.p Planarity.point_in_yfan_and_point_in_xfan_indepent_fan
11995.p Planarity.permutes_4points_collinear
11996.p Planarity.permutes_4points_collinear1
11997.p Planarity.in_aff_gt_eq_azim
11998.p Planarity.no_origin_aff_ge_is_aff_gt
11999.p Planarity.exists_edge_component_yfan
12000.p Planarity.v_subset_xfan
12001.p Planarity.set_of_edge_subset_edges
12002.p Planarity.aff_ge_2_1_is_exists_point_inaff_ge_1_2
12003.p Planarity.not_azim_points_in_yfan
12004.p Planarity.exists_edge_bounded_topological_component_yfan
12005.p Planarity.aff_gt_in_w_dart_fan
12006.p Planarity.not_empty_rcone_fan_inter_aff_gt
12007.p Planarity.condition_rw_dart_fan_inter_aff_gt_is_not_empty
12008.p Planarity.exists_edge_rw_dart_fan_inter_aff_gt_not_empty_fan
12009.p Planarity.exists_edge_rw_dart_fan_inter_topological_component_not_empty_fan
12010.p Planarity.exists_dart_leads_into_edge_eq_topological_component_fan
12011.p Planarity.not_azim_points1_in_yfan
12013.p Planarity.condition_cross_dot_4point
12017.p Planarity.aff_gt_2_1_cross_dotl_4point
12018.p Planarity.aff_gt_2_1r_rcross_dotl_4point
12019.p Planarity.aff_gt_1_2_cross_dotr_4point
12020.p Planarity.aff_gt_1_2_cross_dotr_4point_neg
12021.p Planarity.aff_gt_1_2_cross_dotr_4point_zero
12022.p Planarity.exists_esilon_real
12023.p Planarity.invariant_cross_dotr_esilon_3piont
12024.p Planarity.invariant_rcross_dot_esilon_3piont
12025.p Planarity.invariant_crossr_dot_esilon_3piont
12026.p Planarity.point_in_aff_gt_2_1_change_point_in_aff_gt_1_2
12028.p Planarity.pos_in_aff_gt_2_1_fan
12029.p Planarity.condition_4point_aff_gt_1_2inter_aff_gt_1_2
12030.p Planarity.exists_dart_leads_into_edge_eq_topological1_component_fan
12031.p Planarity.JUTSTKG
12032.p Planarity.AFF_GT_3_1
12033.p Planarity.AFF_GT_1_3
12034.p Planarity.AFF_GE_1_3
12035.p Planarity.notcoplanar_disjoint
12036.p Planarity.notcoplanar_disjoints
12037.p Planarity.coplanar_imp_continuous_collinear
12038.p Planarity.aff_gt_1_3_eq_unions_aff_gt_1_2
12039.p Planarity.aff_gt_1_3_subset_yfan
12040.p Planarity.aff_gt_1_3_subset_dart_leads_into_fan
12041.p Planarity.inter_aff_gt_3_1_is_aff_gt_1_3
12042.p Planarity.coplanar_cross_dot
12044.p Planarity.aff_gt_3_1_rep_cross_dot
12045.p Planarity.OPEN_AFF_GT_1_3
12046.p Planarity.OPEN_DIFF_AFF_GE
12047.p Planarity.aff_ge_1_3_eq_unions_aff_ge_1_2_and_aff_gt_1_3
12048.p Planarity.cut_aff_gt_1_3_connected
12049.p Planarity.AFF_GE_SUBSET_XFAN
12050.p Planarity.notcoplanar_4point_aff_gt_3_1_not_empty
12051.p Planarity.notcoplanar_4point_aff_gt_1_3_not_empty
12052.p Planarity.KVQWYDL_lemma1
12053.p Planarity.point_in_yfan_is_not_inv_fan
12054.p Planarity.point_in_aff_ge_1_1
12055.p Planarity.POINT_IN_AFF_GE_IMP_IN_EDGE
12056.p Planarity.POINT_IN_CLOSURE_AFF_GT_1_2
12057.p Planarity.KVQWYDL_lemma2
12059.p Planarity.condition_unique_by_dart_leads_into
12060.p Planarity.PROPERTIES_TRIANGLE_FAN_lemma1
12061.p Planarity.PROPERTIES_TRIANGLE_FAN_lemma2
12062.p Planarity.PROPERTIES_TRIANGLE_FAN
12063.p Planarity.inter_aff_gt_3_1_is_aff_gt_2_2
12064.p Planarity.condition_edge_in_face_fan
12065.p Planarity.KVQWYDL_lemma3
12067.p Planarity.FINITE_FACE_FAN
12068.p Planarity.condition_f1_fan_in_face_set
12069.p Planarity.CARD_FACE_SET_GE_3_FULLY_SURROUNDED_FAN
12070.p Planarity.CARD_FACE_SET_EQ_3_FULLY_SURROUNDED_FAN
12071.p Planarity.lemma_CARD_FACE_SET_EQ_3_FULLY_SURROUNDED_FAN
12072.p Planarity.CARD_FACE_SET_EQ_3_FULLY_SURROUNDED_FAN1
12073.p Planarity.KVQWYDL_lemma10
12074.p Planarity.IN_D1_FAN_IMP_EDGE_FAN
12075.p Planarity.EQ_PAIR_IMP_EQ_4_FAN
12076.p Planarity.KVQWYDL_lemma30
12078.p Planarity.dartset_leads_into_fan_radial
12079.p Planarity.ball_eq_normball
12080.p Planarity.dartset_leads_into_fan_eventually_radial_norm
12081.p Planarity.measurable_dartset_leads_into3_fan
12082.p Planarity.CARD_GT1_IMP_AZIM_FAN_EQ_AZIM
12083.p Planarity.CARD_GT1_IMP_AZIM_FAN_EQ_DIHV
12084.p Planarity.solid_of_dartset_leads_into_fan_triangle_fan
12086.p Hypermap_and_fan.IMAGE_LEMMA
12089.p Hypermap_and_fan.PERMUTES_IMP_INSIDE
12090.p Hypermap_and_fan.RES_RES
12093.p Hypermap_and_fan.RES_EMPTY
12095.p Hypermap_and_fan.RES_PERMUTES_UNION
12096.p Hypermap_and_fan.RES_PERMUTES_DISJOINT_UNIONS
12097.p Hypermap_and_fan.RES_PERMUTES
12098.p Hypermap_and_fan.E_FAN_PAIR_EXT_PERMUTES_DART1_OF_FAN
12099.p Hypermap_and_fan.DART1_OF_FAN_EQ_DISJOINT_UNIONS
12100.p Hypermap_and_fan.N_FAN_PAIR_EXT_PERMUTES_DART1_OF_FAN
12101.p Hypermap_and_fan.E_N_F_EQ_I
12102.p Hypermap_and_fan.INVERSE_PERMUTES
12103.p Hypermap_and_fan.F_FAN_PAIR_EXT_PERMUTES_DART1_OF_FAN
12105.p Hypermap_and_fan.INVERSE_F_IN_DART1_OF_FAN
12106.p Hypermap_and_fan.FINITE_DART_OF_FAN
12107.p Hypermap_and_fan.E_FAN_PAIR_EXT_PERMUTES_DART_OF_FAN
12108.p Hypermap_and_fan.F_FAN_PAIR_EXT_PERMUTES_DART_OF_FAN
12109.p Hypermap_and_fan.N_FAN_PAIR_EXT_PERMUTES_DART_OF_FAN
12110.p Hypermap_and_fan.HYPERMAP_OF_FAN
12111.p Hypermap_and_fan.COMPONENTS_HYPERMAP_OF_FAN
12112.p Hypermap_and_fan.INVERSE_F_FAN_PAIR_EXT
12113.p Hypermap_and_fan.INVERSE_F_FAN_PAIR_EXT_EXPLICIT
12114.p Hypermap_and_fan.DART_EXISTS
12115.p Hypermap_and_fan.E_N_F_DEGENERATE_CASE
12116.p Hypermap_and_fan.DART1_OF_FAN_SUBSET_DART_OF_FAN
12117.p Hypermap_and_fan.NODE_SUBSET_DART1_OF_FAN
12118.p Hypermap_and_fan.NODE_SUBSET_DART_OF_FAN
12119.p Hypermap_and_fan.FACE_SUBSET_DART1_OF_FAN
12120.p Hypermap_and_fan.FACE_SUBSET_DART_OF_FAN
12122.p Hypermap_and_fan.PAIR_IN_DART_OF_FAN
12123.p Hypermap_and_fan.PAIR_IN_DART1_OF_FAN
12124.p Hypermap_and_fan.PAIR_IN_DART1_OF_FAN_IMP_NOT_EQ
12125.p Hypermap_and_fan.NOT_IN_DART1_OF_FAN
12126.p Hypermap_and_fan.IN_DART_OF_FAN
12127.p Hypermap_and_fan.IN_DART1_OF_FAN
12129.p Hypermap_and_fan.SUM_SET_OF_ORBITS
12131.p Hypermap_and_fan.FINITE_ORBIT_MAP
12132.p Hypermap_and_fan.ORBIT_MAP_CARD_POS
12133.p Hypermap_and_fan.ORBIT_MAP_INJ
12134.p Hypermap_and_fan.INVERSE_ADD_EXPONENTS
12135.p Hypermap_and_fan.FINITE_ORBIT_MAP_INVERSE
12136.p Hypermap_and_fan.ORBIT_MAP_TRANSLATION
12137.p Hypermap_and_fan.SUM_ORBIT
12138.p Hypermap_and_fan.ORBIT_MAP_3
12139.p Hypermap_and_fan.ORBIT_MAP_2
12140.p Hypermap_and_fan.ORBIT_MAP_INV_3
12143.p Hypermap_and_fan.ORBIT_MAP_INV_2_SET
12145.p Hypermap_and_fan.CARD_FACE_GT_1
12146.p Hypermap_and_fan.LINEAR_FACE
12147.p Hypermap_and_fan.LINEAR_FACE_2
12148.p Hypermap_and_fan.TRIANGULAR_FACE
12149.p Hypermap_and_fan.IN_FACE_IMP_IN_DART1_OF_FAN
12150.p Hypermap_and_fan.FACE_LAST_POINT
12151.p Hypermap_and_fan.IN_DART1_OF_FAN_IMP_CARD_FACE_GT_1
12152.p Hypermap_and_fan.PLAIN_HYPERMAP_OF_FAN
12153.p Hypermap_and_fan.E_HAS_NO_FIXED_POINTS_IN_D1
12155.p Hypermap_and_fan.UNIQUE_ORBIT
12159.p Hypermap_and_fan.EDGE_HYPERMAP_OF_FAN
12160.p Hypermap_and_fan.N_FAN_PAIR_EXT_IN_DART1_OF_FAN
12161.p Hypermap_and_fan.N_FAN_PAIR_EXT_POWER
12162.p Hypermap_and_fan.NODE_HYPERMAP_OF_FAN
12163.p Hypermap_and_fan.SIGMA_FAN_POWER
12164.p Hypermap_and_fan.NODE_HYPERMAP_OF_FAN_lemma
12165.p Hypermap_and_fan.NODE_HYPERMAP_OF_FAN_ALT
12166.p Hypermap_and_fan.CARD_NODE_HYPERMAP_OF_FAN
12167.p Hypermap_and_fan.HYPERMAP_OF_FAN_NODE_EQ
12168.p Hypermap_and_fan.FST_NODE_lemma
12169.p Hypermap_and_fan.FAN_NODE_EQ_lemma
12170.p Hypermap_and_fan.NODE_SET_AS_IMAGE
12171.p Hypermap_and_fan.SIMPLE_HYPERMAP_IMP_FACE_INJ
12172.p Hypermap_and_fan.SIMPLE_HYPERMAP_lemma
12173.p Hypermap_and_fan.HYPERMAP_OF_FAN_FACE_NODE_INJ
12175.p Hypermap_and_fan.AZIM_I_FAN_EQ_AZIM_DART
12176.p Hypermap_and_fan.SUM_lemma
12177.p Hypermap_and_fan.SUM_AZIM_DART
12178.p Hypermap_and_fan.SUM_BOUND_LT_ALT
12179.p Hypermap_and_fan.FULLY_SURROUNDED
12180.p Hypermap_and_fan.SURROUNDED_IMP_CARD_SET_OF_EDGE_GE_3
12181.p Hypermap_and_fan.SURROUNDED_IMP_IN_DART1_OF_FAN
12182.p Hypermap_and_fan.SURROUNDED_IMP_CARD_NODE_GE_3
12183.p Hypermap_and_fan.CARD_SET_OF_EDGE_GT_1_IMP_CARD_FACE_GE_3
12184.p Hypermap_and_fan.FULLY_SURROUNDED_IMP_CARD_FACE_GE_3
12185.p Hypermap_and_fan.FULLY_SURROUNDED_NODE_DECOMPOSITION
12187.p Hypermap_and_fan.HYPERMAP_OF_FAN_EDGE_NONDEGENERATE
12188.p Hypermap_and_fan.HYPERMAP_OF_FAN_NO_LOOPS
12189.p Hypermap_and_fan.HYPERMAP_OF_FAN_NO_DOUBLE_JOINTS
12190.p Hypermap_and_fan.AZIM_DART_POS
12191.p Hypermap_and_fan.DART1_NOT_COLLINEAR
12192.p Hypermap_and_fan.DART1_NOT_COLLINEAR_2
12194.p Conforming.fully_surrounded_imp_aff_gt_3_1_of_edge_eq_fan
12195.p Conforming.IMAGE_F1_IN_FACE_IMP_IN_FACE
12196.p Conforming.IMAGE_F1_POWER_IN_FACE_IMP_IN_FACE
12197.p Conforming.REP_OF_INVERSE1_SIGMA_FAN
12199.p Conforming.DARTSET_LEADS_INTO_SUBSET_WDART_FAN
12200.p Conforming.power_map_points_edge_fan
12201.p Conforming.SRPRNPL
12203.p Conforming.NSUM_EQ_0_IFF
12204.p Conforming.N_FAN_EQ_0_IMP_CARD_FACE_EQ_3
12205.p Conforming.version_JUTSTKG
12207.p Conforming.DWFBRQY
12208.p Conforming.NEGLIGIBLE_AFF_3
12209.p Conforming.NEGLIGIBLE_AFF_GE_2_1
12210.p Conforming.NEGLIGIBLE_AFF_GE_1_2
12211.p Conforming.NEGLIGIBLE_AFF_GT_1_2
12214.p Conforming.NEGLIGIBLE_AFF_3_INTER_BALL
12215.p Conforming.NEGLIGIBLE_AFF_GT_1_2_INTER_BALL
12217.p Conforming.MEASURE_AFF_GT_2_1_INTER_BALL
12219.p Conforming.HAS_MEASURE_AFF_GT_1_2_INTER_BALL
12220.p Conforming.MEASURABLE_AFF_GT_2_1_INTER_BALL
12221.p Conforming.XFAN_EQ_UNIONS_AFF_GE_1_2
12222.p Conforming.NEGLIGIBLE_XFAN
12223.p Conforming.NEGLIGIBLE_XFAN_INTER_BALL
12227.p Conforming.HAS_MEASURE_XFAN_INTER_BALL
12229.p Conforming.MEASURE_YFAN_INTER_BALL
12231.p Conforming.MESURABLE_YFAN_INTER_BALL
12232.p Conforming.RADIAL_DIFF
12233.p Conforming.RADIAL_UNION
12234.p Conforming.RADIAL_EMPTY
12235.p Conforming.RADIAL_UNIONS
12236.p Conforming.RADIAL_UNIV
12237.p Conforming.RADIAL_AFF_GE_1_2
12238.p Conforming.RADIAL_AFF_GT_3_1
12239.p Conforming.RADIAL_INTERS
12240.p Conforming.XFAN_INTER_BALL_UNIONS
12241.p Conforming.RADIAL_XFAN_INTER_BALL
12242.p Conforming.RADIAL_NORM_YFAN_INTER_BALL
12243.p Conforming.SOLID_ANGLE_YFAN
12244.p Conforming.SUM_SOL_IN_TOPOLOGICAL_COMPONENET_EQ_IN_FACE_SET
12245.p Conforming.SOL_EMPTY
12247.p Conforming.SOL_DISJOINT_UNION
12248.p Conforming.UNIONS_INTER
12249.p Conforming.UNIONS_INTER1
12250.p Conforming.SOL_UNIONS
12251.p Conforming.BOUNDED_INTER_BALL
12252.p Conforming.OPEN_AFF_GT_3_1
12253.p Conforming.EQ_SET_THM
12254.p Conforming.fully_surrounded_imp_aff_gt_3_1_of_dart_eq_fan
12255.p Conforming.OPEN_TOPOLOGICAL_COMPONENT_YFAN
12256.p Conforming.OPEN_TOPOLOGICAL_COMPONENT_YFAN_INTER_BALL
12257.p Conforming.MEASURABLE_TOPOLOGICAL_COMPONENT_YFAN_INTER_BALL
12258.p Conforming.RADIAL_TOPOLOGICAL_COMPONENT_YFAN
12259.p Conforming.FINITE_TOPOLOGICAL_COMPONENT_YFAN
12260.p Conforming.SUM_SOL_TOPOLOGICAL_COMPONENT_YFAN_EQ_SOL_UNIONS
12261.p Conforming.UNIONS_TOPOLOGICAL_COMPONENT_EQ_YFAN
12262.p Conforming.SUM_SOL_IN_FACE_SET_EQ_4PI
12263.p Conforming.FINITE_NODE_FAN
12266.p Conforming.node_subset_dart_fan
12267.p Conforming.rep_node_set_fan
12268.p Conforming.properties_of_elements_in_node_fully_surroundedfan
12269.p Conforming.lemma_card_node_eq_set_of_orbits
12271.p Conforming.mono_cyclic_power_sigma_fan
12272.p Conforming.SUM_AZIM_FAN_OF_NODE_EQ_SUM_AZIM_I_FAN
12274.p Conforming.SUM_AZIM_FAN_OF_NODE_EQ_2PI_I_FAN
12275.p Conforming.SUM_CARD_FACE_NODE_DART_FAN
12276.p Conforming.nonconformin_fan_imp_n_fan_ge0
12277.p Conforming.nonconformin_fan_imp_exist_face_gt_3
12278.p Conforming.exists_face_in_face_set
12279.p Conforming.exists_node_in_face_set
12280.p Conforming.identity_face_in_face_set
12281.p Conforming.identity_node_in_face_set
12282.p Conforming.condition_f1_eq_fan
12283.p Conforming.nonconformin_fan_imp_exist_3point_in_face
12284.p Conforming.condition_aff_gt_subset_yfan
12285.p Conforming.segment_subset_aff_gt_union
12286.p Conforming.SEGMENT_CONNECTED
12287.p Conforming.AFF_GT_SUBSET_DART_LEADS_INTO_FAN
12288.p Conforming.STEP2_REDUCE_FAN
12289.p Conforming.STEP3_REDUCE_FAN
12290.p Conforming.SET_OF_EDGE_UNION_GRAPH
12291.p Conforming.add_edge_imp_card_set_edge_ge1_fan
12292.p Conforming.PR23_OF_D1_FAN
12294.p Conforming.expand_set_edge_fan
12295.p Conforming.DART_FANADD_EQ_DART_FAN_ADD_2DART
12297.p Conforming.condition_set_of_edge_eq_empty
12298.p Conforming.SET_OF_EDGE_INVARIANT
12299.p Conforming.expand_unions
12300.p Conforming.SIGMA_FAN_OF_FANADD1
12301.p Conforming.add_edge_graph
12302.p Conforming.not_in_set_of_edge
12303.p Conforming.set_of_only_edge
12304.p Conforming.set_of_only_edge1
12305.p Conforming.SIGMA_FAN_OF_FANADD_AT_POINT1
12306.p Conforming.SIGMA_FAN_OF_FANADD_AT_POINT2
12307.p Conforming.XFAN_INTER_SET
12308.p Conforming.condition_azim_imp_edge_fan
12309.p Conforming.condition_azim_le_pi
12310.p Conforming.azim_trangle_le_azim_face_fan
12311.p Conforming.SIGMA_FAN_OF_FANADD_AT_POINT3
12313.p Conforming.SIGMA_FAN_OF_FANADD_AT_POINT4
12314.p Conforming.SIGMA_FAN_OF_FANADD_AT_POINT5
12315.p Conforming.SIGMA_FAN_OF_FANADD_AT_POINT6
12316.p Conforming.f1_fan_of_f10_eq_f20
12317.p Conforming.f1_fan_of_f20_eq_f30
12318.p Conforming.f1_fan_of_f30_eq_f10
12319.p Conforming.f10_in_d1_fanadd
12320.p Conforming.pair_disjoint_f10_f20_f30
12321.p Conforming.n_fan_permutes_prime
12322.p Conforming.f1_fan_permutes_prime
12323.p Conforming.card_ds2_fanadd_eq3
12324.p Conforming.reperentation_of_ds2
12325.p Conforming.edge_not_in_ds2
12326.p Conforming.disjoint_ds1_and_ds2
12327.p Conforming.card_eq_image_in_d_fan
12328.p Conforming.exists_tranf_fan
12329.p Conforming.TRANF
12331.p Conforming.TRAN_COMMUTATIVE_F1_FAN1
12332.p Conforming.TRAN_COMMUTATIVE_F1_FAN2
12333.p Conforming.TRAN_COMMUTATIVE_F1_FAN3
12334.p Conforming.TRAN_COMMUTATIVE_F1_FAN
12336.p Conforming.f1_fan_power_in_face_imp_in_face
12337.p Conforming.TRAN_COMMUTATIVE_F1_FAN0
12338.p Conforming.TRAN_COMMUTATIVE_F1_FAN_POWER
12341.p Conforming.TRAN_COMMUTATIVE_F1_FAN_POWER3
12342.p Conforming.unique_tranf_fan
12343.p Conforming.tran_in_dart_newfan
12344.p Conforming.INJ_TRAN_D1_FAN
12345.p Conforming.INJ_TRANF_FACE_DELETE_DS
12346.p Conforming.ds1_in_face_set_fanadd
12347.p Conforming.ds2_in_face_set_fanadd
12348.p Conforming.condition_f1_fan_power_in_face_set
12349.p Conforming.SUR_TRANF_FACE_DELETE_DS
12350.p Conforming.DOMAIN_TRANF_FACE_DELETE_DS
12351.p Conforming.EQ_CARD_FACE_FAN_AND_FANADD
12352.p Conforming.CARD_DART_FANADD
12353.p Conforming.ZSZIUQE_LEMMA
12355.p Conforming.FAN80_FANADD
12356.p Conforming.FANADD_CONFORMING
12358.p Conforming.INVARANT_SIGMA_FAN_ADD
12359.p Conforming.lemma_yfanadd_aff_ge
12360.p Conforming.lemma_yfanadd_aff_gt
12361.p Conforming.lemma_yfanadd_aff_gt1
12362.p Conforming.YFANADD_AFF_GT
12363.p Conforming.dartset_leads_into_fanadd1
12364.p Conforming.dartset_leads_into_fanadd2
12365.p Conforming.INTERS_HALF_SPACE_DS_FANADD1
12366.p Conforming.inverse1_sigma_fan_FANADD
12367.p Conforming.aff_gt_eq_fanadd
12368.p Conforming.f2_EQ_F30_FANADD
12369.p Conforming.CONDITION_DART_IN_NODE
12370.p Conforming.INTERS_HALF_SPACE_DS_FANADD2
12371.p Conforming.lemmaINTERS_HALF_SPACE_DS_FANADD1
12372.p Conforming.lemmaINTERS_HALF_SPACE_DS_FANADD2
12373.p Conforming.aff_gt_3_1_INTER_aff_SUBSET_aff_gt_2_1
12374.p Conforming.aff_gt_3_1_INTER_aff_SUBSET_aff_gt_2_14
12375.p Conforming.lemmaINTERS_HALF_SPACE_DS_FANADD3
12376.p Conforming.aff_3_rep_cross_dot
12377.p Conforming.SPACE3_EQ_UNION_3SET
12378.p Conforming.lemmaU1_subset_U
12379.p Conforming.open_subsetU
12380.p Conforming.eq_aff_gt_3_fanadd_edge
12381.p Conforming.aff_gt_add_subset_U1
12382.p Conforming.lemma_rep_U_fanadd
12383.p Conforming.dartset_leads_into_ds_open_fanadd
12384.p Conforming.U_INTER_U2_FANADD
12385.p Conforming.dartset_leads_into_fan_SUBSET_U
12386.p Conforming.rep_dartset_leads_into_fan_ds
12388.p Conforming.dartset_leads_into_fan_eq_fanadd
12389.p Conforming.conforming_bijection_fanadd
12390.p Conforming.RADIAL_AFF_GT_1_2
12391.p Conforming.NORMBALL_SUBSET
12392.p Conforming.RADIAL_NORM_CO
12393.p Conforming.tranf_eq_image_of_tran
12394.p Conforming.azim_fanadd_eq
12395.p Conforming.eventally_measurable_fanadd
12396.p Conforming.SOL_AFF_GT_2_1
12397.p Conforming.inverse1_sigma_fan_FANADD1
12398.p Conforming.inverse1_sigma_fan_FANADD2
12399.p Conforming.inverse1_sigma_fan_FANADD3
12400.p Conforming.DS1_DS2_EQ_DS_FANADD1
12401.p Conforming.DS1_DS2_EQ_DS_FANADD2
12402.p Conforming.DS1_DS2_EQ_DS_FANADD
12403.p Conforming.azim_fanadd_eq_ds
12404.p Conforming.TXFBALB
12406.p Conforming.TXFBALB_VERSION
12407.p Conforming.OBHTHCD
12408.p Conforming.inverse1_sigma_fan_FANADD4
12409.p Conforming.conforming_diagonal_fanadd1
12410.p Conforming.INDUCTION_FANADD
12411.p Conforming.conforming_diagonal_fan_ds_fanadd
12412.p Conforming.GGZWYRM
12413.p Conforming.INTERS_HALF_SPACE_DS_FANADD3
12414.p Conforming.lemma_HYUAZSE
12415.p Conforming.DART_FANADD_SUBSET_HALFSPACE
12416.p Conforming.DART_FANADD_SUBSET_HALFSPACE1
12417.p Conforming.DART_FANADD_SUBSET_HALFSPACE2
12418.p Conforming.DART_FANADD_SUBSET_HALFSPACE3
12419.p Conforming.DART_FANADD_SUBSET_HALFSPACE4
12420.p Conforming.DART_FANADD_EQ_HALFSPACE
12421.p Conforming.HYUAZSE
12422.p Conforming.PIIJBJK
12423.p Conforming.expand_xfan_eq_aff_gt_aff_ge
12424.p Conforming.properties12_fan7
12425.p Conforming.yfan_union_aff_gt_fan
12426.p Conforming.exists_point_in_dartset_leads_into_fan
12427.p Conforming.NEGLIGIBLE_AFF_3_FAN
12429.p Conforming.NEGLIGIBLE_AFF_3_UNION_INTER_BALL
12430.p Conforming.MEASURE_AFF_3_UNION_FAN
12431.p Conforming.HAS_MEASURE_AFF_3_UNION_INTER_BALL
12432.p Conforming.MEASURABLE_AFF_3_UNION_INTER_BALL
12433.p Conforming.measure_ball_diff_set_negligible
12434.p Conforming.exists_measure_ball_diff_set_negligible
12435.p Conforming.connected_in_dartset_leads_into_fan_union_aff_gt
12436.p Conforming.AFF_GT_1_1_SUBSET_DARTSET_LEADS_INTO_FAN
12437.p Conforming.aff_gt_subset_dartset_leads_into_fan_union_aff_gt
12438.p Conforming.aff_gt_1_2_subset_aff_1_3111
12439.p Conforming.AFF_GT_1_3_SUBSET_AFF_GT_1_3
12440.p Conforming.lemma_connect_hypermap
12441.p Conforming.WGVWSKE
12442.p Conforming.CARD_EDGE_SET_FAN
12443.p Conforming.REP_CARD_EDGE_SET_FAN
12444.p Conforming.GGRLKHP
12445.p Polyhedron.GRAPH
12447.p Polyhedron.POLYHEDRON_FAN
12448.p Polyhedron.CONVEX_RELATIVE_INTERIOR
12449.p Polyhedron.CONVEX_RELATIVE_INTERIOR_FACE
12450.p Polyhedron.CONVEX_RELATIVE_INTERIOR_FACET
12451.p Polyhedron.CONNECTED_RELATIVE_INTERIOR_FACET
12452.p Polyhedron.CONNECTED_HALF_LINE
12453.p Polyhedron.RELATIVE_SUBSET_FCHANGE
12454.p Polyhedron.AFF_GT_SUBSET_FCHANGED
12455.p Polyhedron.CONNECTED_HALF_LINE1
12456.p Polyhedron.CONNECTED_COMPONENT_OF_SUBSET
12458.p Polyhedron.CONNECTED_FCHANGED
12459.p Polyhedron.CONTINUOUS_ON_LIFT_DOT
12460.p Polyhedron.INTERIOR_AFFINIE_HUL_EQ_UNIV
12461.p Polyhedron.AFF_DIM_INTERIOR_EQ_3
12462.p Polyhedron.INTERIOR_IMP_RELATIVE_INTERIOR
12463.p Polyhedron.IN_RELATIVE_INTERIOR1
12464.p Polyhedron.FCHANGED_OPEN
12465.p Polyhedron.FCHANGED_ONE_TO_ONE
12466.p Polyhedron.CARD_EXISTS_2
12467.p Polyhedron.EXISTS_EDGE_POLYTOPE
12468.p Polyhedron.EXISTS_EDGE_POLYTOPE1
12469.p Polyhedron.REDUCE_POINT_FACET
12470.p Polyhedron.aff_ge_1_1_subset_xfan
12472.p Polyhedron.in_aff_ge_fan
12474.p Polyhedron.FCHANGED_SUBSET_YFAN
12475.p Polyhedron.FCHANGED_EQ_YFAN
12476.p Polyhedron.EXISTS_POINT_IN_FCHANGED
12477.p Polyhedron.FCHANGED_IN_COMPONENT
12478.p Polyhedron.SUR_FCHANGED
12479.p Polyhedron.AMHFNXP
12480.p Polyhedron.AMHFNXP_BIJ
12481.p Polyhedron.EXPAND_EDGE_POLYTOPE
12482.p Polyhedron.EXISTS_EDGE_AT_VERTICES
12485.p Polyhedron.FLVNSME
12486.p Polyhedron.CARD_SET_OF_EDGE_INEQ_1_POLYHEDRON
12487.p Polyhedron.BSXAQBQ
12488.p Polyhedron.POLYTOPE_FAN80
12489.p Polyhedron.WBLARHH
12490.p Cfyxfty.WBLARHH_BIJ
12491.p Pack1.bound_square
12492.p Pack1.cauchy_ineq
12493.p Pack1.bdt_emveque
12494.p Pack1.norm_abs
12495.p Pack1.bdt_emnguchua
12496.p Pack1.map3_define
12497.p Pack1.floor_ineq
12498.p Pack1.bdt_canbatrenbon
12499.p Counting_spheres.inj_int_ball
12500.p Pack1.KIUMVTC
12501.p Pack1.voronoi_open
12502.p Pack1.bis
12503.p Pack1.voronoi_version2
12504.p Pack1.norm_ineq_lt
12505.p Pack1.nua_kg_version2
12506.p Pack1.convex_nua_kg
12507.p Pack1.convex_voronoi
12508.p Pack1.bound_voronoi
12510.p Pack1.surj_map_to_nua_kg
12512.p Pack1.real_sub_norm
12513.p Pack1.not_open
12514.p Pack1.not_open_voronoi1
12515.p Pack1.not_open_voronoi2
12516.p Pack1.not_in_voronoi
12517.p Pack1.not_open_voronoi3
12518.p Pack1.voronoi_in_ball
12519.p Pack1.open_voronoi
12520.p Pack1.DRUQUFE
12521.p Pack1.measurable_voronoi
12522.p Pack1.packing_subset_unions_ball
12523.p Pack1.measurable_packing_lm1
12524.p Pack1.surj_map_to_ball
12525.p Pack1.finite_set_packing_in_ball
12526.p Pack1.measurable_packing_lm2
12527.p Pack1.measure_ineq_lm53_1
12528.p Pack1.measure_ineq_lm53_2
12529.p Pack1.card_eq_ball_point
12530.p Pack1.voronoi_subset_ball
12531.p Pack1.all_voronoi_subset_ball
12533.p Pack1.unions_voronoi_center_in_ball_subset_ball
12535.p Pack1.surj_map_to_voronoi_db
12536.p Pack1.finite_set_voronoi_center_in_ball
12537.p Pack1.measurable_unions_voronoi
12538.p Pack1.negligible_voronoi
12539.p Pack1.inj_map_to_voronoi
12540.p Pack1.measure_unions_sum_voronoi
12541.p Pack1.sum_measure_voronoi_le_ball
12542.p Pack1.ineq_lm5_3_step3
12543.p Pack1.ineq_lm5_3_step4
12544.p Pack1.JGXZYGW
12546.p Pack2.VORONOI_OPEN
12547.p Pack2.VORONOI_CLOSED
12548.p Pack2.KIUMVTC
12549.p Pack2.BIS_LE
12550.p Pack2.BIS_LT
12551.p Pack2.VORONOI_CLOSED_ALT
12552.p Pack2.VORONOI_CLOSED_AS_INTERSECTION
12553.p Pack2.VORONOI_OPEN_AS_INTERSECTION
12554.p Pack2.CLOSED_VORONOI_CLOSED
12555.p Pack2.VORONOI_CLOSED_SUBSET_BALL
12556.p Pack2.BOUNDED_VORONOI_CLOSED
12557.p Pack2.COMPACT_VORONOI_CLOSED
12558.p Pack2.CONVEX_VORONOI_CLOSED
12559.p Pack2.BASE_IN_VORONOI_CLOSED
12561.p Pack2.VORONOI_CLOSED_PARTITION_STRONG
12562.p Pack2.PACKING_IMP_CLOSED
12563.p Pack2.SATURATED_IMP_NONEMPTY
12564.p Pack2.VORONOI_CLOSED_PARTITION
12566.p Pack2.POLYHEDRON_VORONOI_CLOSED
12568.p Pack2.MEASURABLE_VORONOI_CLOSED
12571.p Pack2.INTERIOR_BIS_LE
12572.p Pack2.CLOSURE_BIS_LT
12573.p Pack2.CLOSURE_VORONOI_OPEN
12574.p Pack2.INTERIOR_VORONOI_CLOSED_INTERIOR
12575.p Pack2.INTERIOR_VORONOI_CLOSED
12577.p Pack2.VORONOI_OPEN_SUBSET_CLOSED
12578.p Pack2.MEASURE_VORONOI_CLOSED_OPEN
12579.p Pack2.INTER_VORONOI_SUBSET_BISECTOR
12580.p Pack2.NEGLIGIBLE_INTER_VORONOI_CLOSED
12583.p Pack2.bound_voronoi
12586.p Pack2.voronoi_in_ball
12587.p Pack2.DRUQUFE
12588.p Pack2.measurable_voronoi
12589.p Pack2.fcc_compatible
12590.p Pack2.voronoi_subset_ball
12591.p Pack2.all_voronoi_subset_ball
12592.p Pack2.unions_voronoi_subset_ball
12594.p Pack2.finite_set_voronoi_center_in_ball
12600.p Pack_defs.negligible_fun_p
12602.p Packing3.IMAGE_LEMMA
12603.p Packing3.SING_GSPEC_APP
12605.p Packing3.IN_TRANS
12608.p Packing3.LENGTH_1_LEMMA
12609.p Packing3.PERMUTES_TRIVIAL
12610.p Packing3.CONTAINS_BALL_AFFINE_HULL
12611.p Packing3.CONV_UNION_lemma
12612.p Packing3.CONVEX_HULL_EQ_EQ_SET_EQ
12613.p Packing3.HULL_INTER_SUBSET_INTER_HULL
12615.p Packing3.SUBSET_INTERS
12616.p Packing3.HULL_INTERS_SUBSET_INTERS_HULL
12617.p Packing3.HULL_INTERS_EQ_INTERS
12618.p Packing3.INTERS_2_LEMMA
12619.p Packing3.INTER_INTERS
12620.p Packing3.INTERS_UNIV
12621.p Packing3.INTERS_INTER_INTERS
12623.p Packing3.REAL_DIV_LE_1
12624.p Packing3.UNIONS_FINITE_LEMMA
12627.p Packing3.REAL_FINITE_ARGMIN
12629.p Packing3.BIS_EQ_HYPERPLANE
12630.p Packing3.BIS_LE_EQ_HALFSPACE
12631.p Packing3.CONVEX_BIS_LE
12632.p Packing3.CLOSED_BIS_LE
12633.p Packing3.CONVEX_BIS
12634.p Packing3.POLYHEDRON_BIS
12635.p Packing3.AFFINE_BIS
12636.p Packing3.AFFINE_HULL_INTERS_BIS
12637.p Packing3.MID_POINT_EXISTS
12638.p Packing3.CLOSED_DISCRETE
12639.p Packing3.DISCRETE_SUBSET
12640.p Packing3.DISCRETE_IMP_BOUNDED_EQ_COMPACT
12641.p Packing3.DISCRETE_OPEN_COVER
12643.p Packing3.PACKING_IMP_DISCRETE
12645.p Packing3.TIWWFYQ
12647.p Packing3.VORONOI_CLOSED_CONTAINS_BALL
12648.p Packing3.AFF_DIM_VORONOI_CLOSED
12650.p Packing3.BOUNDED_VORONOI_CLOSED
12651.p Packing3.VORONOI_CLOSED_EQ_INTERS_BIS_LE
12652.p Packing3.VORONOI_CLOSED_EQ_INTERS_BIS_LE_ALT
12653.p Packing3.VORONOI_INTER_BIS_LE
12654.p Packing3.VORONOI_CLOSED_EQ_FINITE_INTERS_BIS_LE
12656.p Packing3.CONVEX_VORONOI_CLOSED
12657.p Packing3.CLOSED_VORONOI_CLOSED
12659.p Packing3.DRUQUFE
12660.p Packing3.INITIAL_SUBLIST_APPEND
12661.p Packing3.INITIAL_SUBLIST_HEAD_EQ
12662.p Packing3.INITIAL_SUBLIST_HEAD_EQ_2
12663.p Packing3.INITIAL_SUBLIST_TAIL
12664.p Packing3.INITIAL_SUBLIST_UNIQUE
12666.p Packing3.INITIAL_SUBLIST_REFL
12667.p Packing3.INITIAL_SUBLIST_NIL
12668.p Packing3.INITIAL_SUBLIST_EXISTS_ALT
12669.p Packing3.INITIAL_SUBLIST_EXISTS
12670.p Packing3.INITIAL_SUBLIST_LENGTH_LE
12671.p Packing3.INITIAL_SUBLIST_APPEND_2
12672.p Packing3.INITIAL_SUBLIST_SING
12673.p Packing3.INITIAL_SUBLIST_APPEND_SING
12674.p Packing3.INITIAL_SUBLIST_HD
12677.p Packing3.HD_IN_SET_OF_LIST
12678.p Packing3.HD_INITIAL_SUBLIST
12679.p Packing3.SET_OF_LIST_INITIAL_SUBLIST_SUBSET
12680.p Packing3.LENGTH_REVERSE
12682.p Packing3.LENGTH_TABLE
12683.p Packing3.EL_TABLE
12684.p Packing3.LENGTH_LEFT_ACTION_LIST
12685.p Packing3.EL_LEFT_ACTION_LIST
12686.p Packing3.MEM_LEFT_ACTION_LIST
12687.p Packing3.SET_OF_LIST_LEFT_ACTION_LIST
12688.p Packing3.CARD_SET_OF_LIST_EQ_LENGTH_IMP_ALL_DISTINCT
12689.p Packing3.LENGTH_DROP
12690.p Packing3.EL_DROP
12691.p Packing3.LIST_EL_EQ
12692.p Packing3.LEFT_ACTION_LIST_I
12693.p Packing3.SET_OF_LIST_DELETE_SUBSET_DROP
12694.p Packing3.SET_OF_LIST_DELETE_EQ_DROP
12695.p Packing3.BARV_SUBSET
12696.p Packing3.BARV_CONS
12697.p Packing3.BARV_INITIAL_SUBLIST
12699.p Packing3.BARV_IMP_K_LE_3
12700.p Packing3.BARV_IMP_HD_IN_SET_OF_LIST
12702.p Packing3.TRUNCATE_SIMPLEX_BARV
12703.p Packing3.TRUNCATE_SIMPLEX_REFL
12704.p Packing3.TRUNCATE_0_EQ_HEAD
12705.p Packing3.LENGTH_TRUNCATE_SIMPLEX
12706.p Packing3.TRUNCATE_SIMPLEX_EQ_BUTLAST
12707.p Packing3.HD_TRUNCATE_SIMPLEX
12708.p Packing3.TRUNCATE_TRUNCATE_SIMPLEX
12709.p Packing3.INITIAL_SUBLIST_IMP_TRUNCATE_SIMPLEX
12710.p Packing3.LIST_EQ_TRUNCATE_SIMPLEX_APPEND_LAST
12711.p Packing3.TRUNCATE_SIMPLEX_ADD1
12712.p Packing3.EL_TRUNCATE_SIMPLEX
12713.p Packing3.TRUNCATE_SIMPLEX_ADD1_ALT
12714.p Packing3.VORONOI_SET_SING
12715.p Packing3.VORONOI_LIST_SING
12716.p Packing3.VORONOI_SET_2
12719.p Packing3.VORONOI_LIST_BIS
12720.p Packing3.VORONOI_INTER_BIS_EQ_INTER_BIS_LE
12721.p Packing3.LIST_SUBSET
12722.p Packing3.VORONOI_LIST_BIS_LE
12723.p Packing3.BOUNDED_VORONOI_LIST
12724.p Packing3.VORONOI_LIST_INTER_BIS
12725.p Packing3.SUPSET_INTER
12726.p Packing3.INTER_AFFINE_HULL
12727.p Packing3.VORONOI_LIST_ALMOST_CANONICAL_0
12728.p Packing3.VORONOI_LIST_ALMOST_CANONICAL
12729.p Packing3.lemma1
12731.p Packing3.MINIMAL_INTER_INTERS_EXISTS
12732.p Packing3.VORONOI_LIST_CANONICAL
12733.p Packing3.POLYHEDRON_VORONOI_LIST
12734.p Packing3.POLYTOPE_VORONOI_LIST
12735.p Packing3.POLYTOPE_VORONOI_LIST_BARV
12736.p Packing3.CLOSED_VORONOI_LIST
12737.p Packing3.CONVEX_VORONOI_LIST
12738.p Packing3.AFF_DIM_VORONOI_LIST
12739.p Packing3.VORONOI_LIST_SUBSET_VORONOI_CLOSED
12740.p Packing3.OMEGA_LIST_N_LEMMA
12741.p Packing3.OMEGA_LIST_LEMMA
12742.p Packing3.BARV_IMP_VORONOI_LIST_NOT_EMPTY
12743.p Packing3.OMEGA_LIST_N_IN_VORONOI_LIST
12744.p Packing3.OMEGA_LIST_IN_VORONOI_LIST
12745.p Rogers.BIS_FACE_OF_BIS_LE
12746.p Rogers.KHEJKCI_GEN
12748.p Rogers.VORONOI_BARV_CANONICAL
12749.p Rogers.REAL_LINE_BOUNDED
12750.p Rogers.REAL_NEG_LE_RMUL
12751.p Rogers.HALFSPACE_EQ
12752.p Rogers.HALFSPACE_EQ_BIS_LE_IMP_HYPERPLANE_EQ_BIS
12753.p Rogers.FACET_OF_POLYHEDRON_EXPLICIT_BIS
12754.p Rogers.IDBEZAL
12755.p Rogers.VORONOI_LIST_EQ_UNION_CONVEX_HULL_FACETS
12756.p Rogers.NUMSEG_SUBSET_INDUCT
12757.p Rogers.BARV_EXISTS
12759.p Rogers.GLTVHUM_lemma1
12760.p Rogers.GLTVHUM
12761.p Rogers.VORONOI_CLOSED_EQ_LEMMA
12762.p Rogers.ODIGPXU_lemma
12763.p Rogers.ODIGPXU
12764.p Rogers.OMEGA_LIST_N_EQ
12765.p Rogers.OMEGA_LIST_N_IN_FACET
12766.p Rogers.OMEGA_LIST_N_IN_VORONOI_LIST_GEN
12767.p Rogers.VORONOI_SET_SUBSET
12768.p Rogers.TRUNCATE_SIMPLEX_SUBSET
12769.p Rogers.OMEGA_LIST_N_EQ_GEN
12770.p Rogers.CARD_LE_3
12771.p Rogers.AFF_DIM_LE_2_IMP_COPLANAR
12772.p Rogers.SET_OF_LIST_TRUNCATE_SIMPLEX_SUBSET
12773.p Rogers.ROGERS_AFF_DIM_FULL
12774.p Rogers.VORONOI_LIST_AFF_DIM
12775.p Rogers.AFF_DIM_FINITE_UNION_LE
12776.p Rogers.DUUNHOR
12777.p Rogers.AFFINE_INDEPENDENT_IMP_INDEPENDENT
12778.p Rogers.ORTHOGONAL_TO_SPAN_EXISTS
12779.p Rogers.INDEPENDENT_EXPLICIT_NUMSEG
12780.p Rogers.ORTHOGONAL_TO_ALL_IMP_ZERO
12781.p Rogers.UNIQUE_SOLUTION_lemma
12782.p Rogers.UNIQUE_SOLUTION_AFFINE_INDEPENDENT
12784.p Rogers.CIRCUMCENTER_lemma
12785.p Rogers.CIRCUMCENTER_LEMMA
12786.p Rogers.OAPVION1
12787.p Rogers.OAPVION2
12788.p Rogers.OAPVION3
12789.p Rogers.CIRCUMCENTER_1
12790.p Rogers.CIRCUMCENTER_NOT_EQ
12791.p Rogers.CIRCUMCENTER_TRANSLATION
12792.p Rogers.RADV_TRANSLATION
12793.p Rogers.AFF_INTER_SUBSET_INTER_AFF
12794.p Rogers.MHFTTZN_lemma
12795.p Rogers.MHFTTZN_lemma2
12796.p Rogers.MHFTTZN1
12797.p Rogers.MHFTTZN2
12798.p Rogers.MHFTTZN3
12799.p Rogers.MHFTTZN4
12800.p Rogers.ARCV_GT_PI2
12801.p Rogers.XYOFCGX_lemma0
12803.p Rogers.XYOFCGX_1
12804.p Rogers.CIRCUMCENTER_2
12805.p Rogers.CARD_2_IMP_DOUBLE
12806.p Rogers.XYOFCGX_2
12807.p Rogers.ANGLE_GT_PI2
12808.p Rogers.AZIM_COMPL_EXT
12809.p Rogers.AZIM_EQ_SYM
12810.p Collect_geom.PER_SET3_conjunct4
12811.p Collect_geom.PER_SET3_conjunct3
12812.p Collect_geom.PER_SET3_conjunct2
12813.p Collect_geom.PER_SET3_conjunct1
12814.p Collect_geom.PER_SET3_conjunct0
12815.p Rogers.STRICT_CYCLIC_IMP_FAN
12816.p Rogers.STRICT_CYCLIC_FAN_PROPERTIES
12817.p Rogers.ANGLE_SUM_lemma
12818.p Rogers.ANGLE_SUM_BOUND
12819.p Rogers.DIHV_LE_AZIM
12820.p Rogers.IN_PLANE_NOT_COLLINEAR
12821.p Rogers.ANGLE_EQ_DIHV
12822.p Rogers.PYTHAGORAS_PROJECTION
12823.p Rogers.OBTUSE_ANGLE_PROJECTION
12825.p Rogers.DIHV_GT_PI2
12827.p Rogers.XYOFCGX
12828.p Rogers.BARV_AFFINE_INDEPENDENT
12829.p Rogers.BARV_IMP_LENGTH_EQ_CARD
12830.p Rogers.AFFINE_HULL_PROJECTION_EXISTS
12831.p Rogers.AFFINE_HULL_PROJECTION_DIST_EQ
12832.p Rogers.ORTHOGONAL_TO_AFFINE_HULL_EQ
12833.p Rogers.AFFINE_HULL_PROJECTION_DIST_LE
12834.p Rogers.AFFINE_HULL_PROJECTION_DIST_LT
12835.p Rogers.AFFINE_HULL_CIRCUMCENTER_PROJECTION
12836.p Rogers.AFFINE_HULL_CIRCUMCENTER_EQ
12837.p Rogers.AFFINE_HULL_RADV
12838.p Rogers.RADV_MONO
12839.p Rogers.HL_PROPERTIES
12840.p Rogers.BARV_CIRCUMCENTER_EXISTS
12841.p Rogers.HL_EQ_DIST0
12842.p Rogers.BARV_CIRCUMCENTER_PROJECTION
12843.p Rogers.HL_DECREASE
12844.p Rogers.XNHPWAB1
12845.p Rogers.AFFINE_HULL_PROJECTION_SEPARATES
12846.p Rogers.XNHPWAB2
12847.p Rogers.XNHPWAB4
12849.p Rogers.XNHPWAB3
12850.p Rogers.IN_VORONOI_LIST_IMP_IN_BIS
12851.p Rogers.WAUFCHE1
12852.p Rogers.WAUFCHE2
12853.p Rogers.CIRCUMCENTER_IN_VORONOI_SET
12854.p Rogers.NEIGHBORHOOD_lemma
12855.p Rogers.SUBSPACES_INTER_BALL_EQ_IMP_EQ
12856.p Rogers.AFFINES_INTER_BALL_EQ_IMP_EQ
12857.p Rogers.VORONOI_LIST_EQ_INTERS_BIS
12858.p Rogers.AFFINE_HULL_VORONOI_LIST_SUBSET_INTERS_BIS
12859.p Rogers.YIFVQDV_lemma_aff_dim
12860.p Rogers.YIFVQDV_1
12861.p Rogers.YIFVQDV
12862.p Rogers.HL_TRUNCATE_SIMPLEX_OMEGA_N
12863.p Rogers.KSOQKWL_lemma0
12864.p Rogers.KSOQKWL_lemma1
12865.p Rogers.AFFINE_INDEPENDENT_OMEGA_LIST_N
12867.p Rogers.NUM_FINITE_IMP_MAX_EXISTS
12869.p Rogers.NOT_ID_IMP_EXISTS_MAX_EQ_TRUNCATE_SIMPLEX
12872.p Rogers.IVFICRK_real3
12873.p Rogers.WQPRRDY
12874.p Tarjjuw.CHANGE_TARJJUW_1
12877.p Tarjjuw.CHANGE_TARJJUW_2
12878.p Tarjjuw.CHANGE_TARJJUW_3
12879.p Tarjjuw.CHANGE_TARJJUW_31
12881.p Tarjjuw.CHANGE_TARJJUW_4
12882.p Tarjjuw.CHANGE_TARJJUW_5
12883.p Tarjjuw.CHANGE_TARJJUW_6
12884.p Tarjjuw.CHANGE_TARJJUW_7
12885.p Tarjjuw.CHANGE_TARJJUW_71
12887.p Tarjjuw.FININTE_GFUN
12888.p Tarjjuw.CHANGE_TARJJUW_9
12890.p Tarjjuw.TARJJUW
12891.p Marchal_cells.TRUNCATE_SIMPLEX_GENERAL_0
12892.p Marchal_cells.TRUNCATE_SIMPLEX_EXPLICIT_0
12893.p Marchal_cells.TRUNCATE_SIMPLEX_GENERAL_1
12894.p Marchal_cells.TRUNCATE_SIMPLEX_EXPLICIT_1
12895.p Marchal_cells.TRUNCATE_SIMPLEX_GENERAL_2
12896.p Marchal_cells.TRUNCATE_SIMPLEX_EXPLICIT_2
12897.p Marchal_cells.TRUNCATE_SIMPLEX_EXPLICIT_3
12899.p Marchal_cells.OMEGA_LIST_TRUNCATE_1
12900.p Marchal_cells.OMEGA_LIST_TRUNCATE_2
12901.p Marchal_cells.OMEGA_LIST_0_EXPLICIT
12902.p Marchal_cells.OMEGA_LIST_1_EXPLICIT
12903.p Marchal_cells.OMEGA_LIST_2_EXPLICIT
12904.p Marchal_cells.OMEGA_LIST_3_EXPLICIT
12905.p Marchal_cells.BARV_3_EXPLICIT
12907.p Marchal_cells.AFF_DIM_LE_LENGTH
12908.p Marchal_cells.CONVEX_HULL_SUBSET
12909.p Marchal_cells.BALL_CONVEX_HULL_LEMMA
12912.p Upfzbzm_support_lemmas.tau0_not_zero
12913.p Upfzbzm_support_lemmas.ZERO_LT_MM2_LEMMA
12916.p Upfzbzm_support_lemmas.john_harrison_lemma1
12917.p Upfzbzm_support_lemmas.john_harrison_lemma2
12919.p Upfzbzm_support_lemmas.SQRT_OF_32_lemma
12920.p Upfzbzm_support_lemmas.m1_minus_12m2
12921.p Upfzbzm_support_lemmas.ZERO_LE_MM2_LEMMA
12922.p Upfzbzm_support_lemmas.FINITE_edgeX
12923.p Upfzbzm_support_lemmas.FINITE_critical_edgeX
12924.p Upfzbzm_support_lemmas.DIHV_LE_0
12926.p Upfzbzm_support_lemmas.DIHX_POS
12927.p Upfzbzm_support_lemmas.SUM_SET_OF_2_ELEMENTS
12928.p Upfzbzm_support_lemmas.pos_lemma
12929.p Upfzbzm_support_lemmas.negligible_fun_any_C
12931.p Emnwuus.EMNWUUS2
12934.p Marchal_cells_2_new.CONVEX_RCONE_GE
12938.p Marchal_cells_2_new.RCONE_GT_SUBSET_RCONE_GE
12939.p Marchal_cells_2_new.MCELL_EXPLICIT
12943.p Marchal_cells_2_new.CLOSED_ROGERS
12947.p Marchal_cells_2_new.BARV_IMP_HL_1_POS_LT
12949.p Marchal_cells_2_new.BARV_IMP_u0_IN_V
12950.p Marchal_cells_2_new.ROGERS_INTER_V_LEMMA
12955.p Marchal_cells_2_new.RADIAL_VS_RADIAL_NORM
12963.p Marchal_cells_2_new.RCONE_GE_INTER_VORONOI_CLOSED_PROJECTION_KY_LEMMA
12967.p Marchal_cells_2_new.CONVEX_HULL_BREAK_KY_LEMMA
12969.p Marchal_cells_2_new.CONVEX_HULL_4_SUBSET_AFF_GE_2_2
12971.p Marchal_cells_2_new.VORONOI_LIST_3_SINGLETON_EXPLICIT
12974.p Marchal_cells_2_new.SIMPLEX_FURTHEST_LT_2
12976.p Marchal_cells_2_new.ROGERS_EXPLICIT
12977.p Marchal_cells_2_new.SEGMENT_INTER_CBALL_LEMMA
12980.p Marchal_cells_2_new.CONVEX_HULL_4_IMP_2_2
12990.p Marchal_cells_2_new.AFFINE_SUBSET_KY_LEMMA
12992.p Marchal_cells_2_new.IN_AFFINE_HULL_KY_LEMMA3
12993.p Marchal_cells_2_new.IN_AFFINE_HULL_KY_LEMMA3_alt
12996.p Marchal_cells_2_new.SUM_DIS4
13005.p Marchal_cells_2_new.AFF_GE_2_2
13006.p Marchal_cells_2_new.MEASURABLE_ROGERS
13009.p Marchal_cells_2_new.CLOSED_CONVEX_HULL_FINITE
13010.p Marchal_cells_2_new.CLOSED_MCELL
13011.p Marchal_cells_2_new.CONVEX_HULL_4
13012.p Marchal_cells_2_new.SET_EQ_LEMMA
13013.p Marchal_cells_2_new.SET_OF_0_TO_3
13014.p Marchal_cells_2_new.SET_OF_0_TO_2
13015.p Marchal_cells_2_new.MXI_EXPLICIT
13017.p Marchal_cells_2_new.projection_proj_point
13018.p Marchal_cells_2_new.PRO_EXP
13019.p Marchal_cells_2_new.BETWEEN_PROJ_POINT
13020.p Marchal_cells_2_new.OMEGA_LIST_TRUNCATE_1_NEW1
13021.p Marchal_cells_2_new.OMEGA_LIST_TRUNCATE_1_NEW2
13022.p Marchal_cells_2_new.OMEGA_LIST_TRUNCATE_2_NEW1
13023.p Marchal_cells_2_new.IN_AFFINE_KY_LEMMA1
13024.p Marchal_cells_2_new.SUM_CLAUSES_alt
13025.p Marchal_cells_2_new.CARD4_IMP_DISTINCT
13026.p Marchal_cells_2_new.VSUM_CLAUSES_alt
13027.p Marchal_cells_2_new.OMEGA_LIST_UP_TO_2
13028.p Marchal_cells_2_new.CONVEX_HULL_KY_LEMMA_5
13029.p Marchal_cells_2_new.KY_PERMUTES_2_PERMUTES_3
13030.p Marchal_cells_2_new.TABLE_4
13031.p Marchal_cells_2_new.MEM_LEFT_ACTION_LIST_2
13032.p Marchal_cells_2_new.SET_OF_LIST_LEFT_ACTION_LIST_2
13033.p Marchal_cells_2_new.OMEGA_LIST_2_EXPLICIT_NEW
13034.p Marchal_cells_2_new.INTER_RCONE_GE_IMP_BETWEEN_PROJ_POINT
13036.p Marchal_cells_2_new.INTER_RCONE_GE_LE_lemma
13037.p Marchal_cells_2_new.LEFT_ACTION_LIST_PROPERTIES
13039.p Marchal_cells_2_new.SET_OF_LIST_LEFT_ACTION_LIST_3
13040.p Marchal_cells_2_new.LEFT_ACTION_LIST_1_EXPLICIT
13041.p Marchal_cells_2_new.LEFT_ACTION_LIST_1_PROPERTIES
13042.p Marchal_cells_2_new.NUMSEG_012
13043.p Marchal_cells_2_new.SET_OF_LIST_TRUN2_LEFT_ACTION_LIST2
13044.p Marchal_cells_2_new.SQRT2_LT_2
13045.p Sltstlo.SLTSTLO1
13046.p NULLSET_RULES_conjunct1
13047.p Trigonometry2.UV_IN_AFF2_conjunct1
13048.p Trigonometry2.UV_IN_AFF2_conjunct0
13049.p Sltstlo.SLTSTLO2
13050.p Lepjbdj.LEPJBDJ
13051.p Lepjbdj.LEPJBDJ_0
13053.p Urrphbz1.MCELL_2_PROPERTIES_lemma1
13054.p Urrphbz1.BOUNDED_MCELL
13055.p Urrphbz1.MEASURABLE_MCELL
13056.p Urrphbz2.EVENTUALLY_RADIAL_RCONE_GE_ABC_A
13057.p Urrphbz2.EVENTUALLY_RADIAL_RCONE_GE_ABC_B
13058.p Urrphbz2.EVENTUALLY_RADIAL_AFF_GE
13059.p Urrphbz2.FUN_AFFINE_KLEMMA
13060.p Urrphbz2.URRPHBZ2
13063.p Rvfxzbu.RVFXZBU
13064.p Ynhyjit.YNHYJIT
13065.p Njiutiu.CLOSEST_POINT_SUBSET_lemma
13066.p Njiutiu.AFF_DEPENDENT_AFF_DIM_4
13067.p Njiutiu.NJIUTIU
13068.p Tezffsk.TEZFFSK
13070.p Qzksykg.CONVEX_HULL_4_IMP_3_1
13071.p Qzksykg.BARV_2_EXPLICIT
13072.p Qzksykg.ROGERS_EXPLICIT_2
13074.p Qzksykg.SET_SUBSET_AFFINE_HULL
13075.p Qzksykg.QZKSYKG1
13076.p Qzksykg.QZKSYKG2
13077.p Ddzuphj.RCONE_GT_EQ_EMPTY_LEMMA
13078.p Ddzuphj.DDZUPHJ
13079.p Ajripqn.VOL_POS_LT_AFF_DIM_3
13080.p Ajripqn.UP_TO_4_KY_LEMMA
13081.p Ajripqn.FINITE_SET_LIST_LEMMA
13082.p Ajripqn.AJRIPQN
13083.p Qzyzmjc.mcell_set_2
13084.p Qzyzmjc.BARV_3_IMP_FINITE_lemma1
13085.p Qzyzmjc.BARV_3_IMP_FINITE_lemma2
13086.p Qzyzmjc.lemma_r_r'_fix2
13087.p Qzyzmjc.MCELL_SET_NOT_EMPTY
13088.p Qzyzmjc.QZYZMJC
13090.p Marchal_cells_3.ROGERS_SUBSET_VORONOI_CLOSED
13091.p Marchal_cells_3.HD_IN_MCELL
13092.p Marchal_cells_3.FINITE_MCELL_SET_lemma1
13093.p Marchal_cells_3.FINITE_MCELL_SET_LEMMA
13094.p Marchal_cells_3.CARD_BOUNDARY_INT_BALL_BOUND_1
13097.p Marchal_cells_3.BOUNDARY_VOLUME
13098.p Marchal_cells_3.PACKING_BALL_BOUNDARY
13099.p Marchal_cells_3.MCELL_SUBSET_BALL_4
13100.p Marchal_cells_3.HL_2
13103.p Marchal_cells_3.RCONE_GT_SUBSET
13106.p Marchal_cells_3.UNBOUNDED_HYPERPLANE
13107.p Marchal_cells_3.DIHV_SYM_2
13108.p Marchal_cells_3.REAL_DIV_LE_1_TACTICS
13112.p Marchal_cells_3.MCELL_ID_OMEGA_LIST_N
13113.p Marchal_cells_3.MCELL_ID_MXI
13114.p Marchal_cells_3.AFFINE_HULL_3_INSERT
13115.p Marchal_cells_3.FINITE_EDGE_X2
13116.p Marchal_cells_3.LIFT_MUL_CONTINUOUS_ON
13117.p Marchal_cells_3.LIFT_DIV_CONTINUOUS_ON
13118.p Marchal_cells_3.LIFT_DOT_CONTINUOUS_ON
13119.p Marchal_cells_3.LIFT_NORM_CONTINUOUS_ON
13120.p Marchal_cells_3.SMALLEST_ANGLE_LINE_EXISTS
13121.p Marchal_cells_3.SMALLEST_ANGLE_IN_CONVEX_HULL
13122.p Marchal_cells_3.SMALLEST_ANGLE_LINE_PROPERTY
13123.p Marchal_cells_3.MCELL_SUBSET_BALL8_1
13124.p Marchal_cells_3.MCELL_SUBSET_BALL8
13125.p Marchal_cells_3.FINITE_MCELL_SET_LEMMA_2
13126.p Marchal_cells_3.CONIC_CAP_WEDGE_EQ_0
13128.p Marchal_cells_3.CONIC_CAP_INTER_CONVEX_HULL_4_GT_0
13129.p Marchal_cells_3.MEASURABLE_BALL_AFF_GE
13130.p Marchal_cells_3.FINITE_LIST_KY_LEMMA_2
13132.p Marchal_cells_3.pre_beta
13133.p Marchal_cells_3.WELLDEFINED_FUNCTION_2
13134.p Marchal_cells_3.well_defined_unordered_pair
13135.p Marchal_cells_3.BETA_PAIR_THM
13136.p Marchal_cells_3.DIHX_RANGE
13137.p Marchal_cells_3.DIHX_LE_PI
13139.p Marchal_cells_3.LEFT_ACTION_LIST_2_EXISTS
13140.p Marchal_cells_3.LEFT_ACTION_LIST_3_EXISTS
13141.p Marchal_cells_3.lmfun_bounded
13143.p Marchal_cells_3.BARV_CARD_LEMMA
13144.p Marchal_cells_3.BARV_LENGTH_LEMMA
13145.p Marchal_cells_3.MCELL_ID_MXI_2
13146.p Marchal_cells_3.DIHV_SYM_3
13147.p Marchal_cells_3.DIHX_SYM
13149.p Marchal_cells_3.BETA_SET_2_THM
13150.p Marchal_cells_3.SUM_PAIR_2_SET
13151.p Marchal_cells_3.H0_LT_SQRT2
13152.p Marchal_cells_3.gamma_y_pos_le
13153.p Marchal_cells_3.CARD_LIST_klemma
13154.p Marchal_cells_3.CARD_LIST_klemma_2
13156.p Marchal_cells_3.CARD_LIST_4_klemma
13157.p Marchal_cells_3.BOUNDS_VGEN_klemma
13158.p Marchal_cells_3.BOUNDS_V4_klemma
13159.p Marchal_cells_3.CARD_MCELL_CONTAINS_POINT_klemma
13161.p Marchal_cells_3.MCELL_SUBSET_BALL8_2
13163.p Marchal_cells_3.EDGEX_SUBSET_MCELL
13164.p Marchal_cells_3.CRITICAL_EDGEX_SUBSET_MCELL
13165.p Marchal_cells_3.FINITE_VX
13166.p Marchal_cells_3.CARD_EDGEX_LE_16
13167.p Marchal_cells_3.gamma_y_lmfun_bound2
13168.p Marchal_cells_3.BOUND_GAMMA_X_lmfun
13169.p Grutoti.GRUTOTI
13170.p Kizhltl.KIZHLTL1
13171.p Kizhltl.KIZHLTL2
13172.p Kizhltl.KIZHLTL4
13173.p Sum_gammax_lmfun_estimate.SUM_GAMMAX_LMFUN_ESTIMATE
13174.p Upfzbzm.FCC_COMPATABILITY_FUNC
13175.p Upfzbzm.NEGLIGIBLE_FUNC
13176.p Upfzbzm.UPFZBZM
13177.p Rdwkarc.JGXZYGW_KY
13178.p Rdwkarc.PACKING_SUBSET
13179.p Rdwkarc.PACKING_TRANS
13181.p Rdwkarc.RADV_TRANS_EQ
13182.p Rdwkarc.RDWKARC
13183.p Wrgcvdr_cizmrrh.SPEC_HY_ELEMS
13185.p Wrgcvdr_cizmrrh.ee_of_hyp2
13186.p Wrgcvdr_cizmrrh.nn_of_hyp2
13187.p Wrgcvdr_cizmrrh.ff_of_hyp2
13188.p Wrgcvdr_cizmrrh.FST_SND_FORM_OF_4_TUPLE
13191.p Wrgcvdr_cizmrrh.IN_V_OF_FAN_EXISTS_DART
13192.p Wrgcvdr_cizmrrh.X_IN_HYP_ORBITS
13193.p Wrgcvdr_cizmrrh.IN_DARTS_HYP_IMP_FST_SND_IN_V
13194.p Wrgcvdr_cizmrrh.POWER_SND
13197.p Wrgcvdr_cizmrrh.UNI_E_IMP_EE_EQ_SET_OF_EDGE
13198.p Wrgcvdr_cizmrrh.IN_ORD_PAIRS_IMP_IMP_IN_TOO
13199.p Wrgcvdr_cizmrrh.IN_ORD_PAIRS_IMP_SND_IN_EE_FST
13200.p Wrgcvdr_cizmrrh.IN_SELF_PAIRS_IMP_FST_EQ_SND_FORALL
13201.p Wrgcvdr_cizmrrh.ITER_N_I
13202.p Wrgcvdr_cizmrrh.HAS_ORDERS_IMP_ORBIT_MAP_FIRST_ROW
13203.p Wrgcvdr_cizmrrh.FINITE_OF_N_FIRST_ELMS
13206.p Wrgcvdr_cizmrrh.CARD_INSERT_GE_AND_LE
13207.p Wrgcvdr_cizmrrh.HAVING_ORDERS_K_IMP_CARD_ORBIT_LE_K
13208.p Wrgcvdr_cizmrrh.CARD_LE_K_OF_SET_K_FIRST_ELMS
13209.p Wrgcvdr_cizmrrh.CARD_K_FIRST_ELMS_EQ_K
13211.p Wrgcvdr_cizmrrh.LT_SUC_E
13213.p Wrgcvdr_cizmrrh.CARD_N_FIRST_ELMS_UNDUCTIVE
13214.p Wrgcvdr_cizmrrh.CARD_ADD1_LE
13215.p Wrgcvdr_cizmrrh.CARD_LT_KT_LE_ADDT
13217.p Wrgcvdr_cizmrrh.CARD_K_ELMS_EQ_K_IMP_ALL_DISTINCT
13218.p Wrgcvdr_cizmrrh.CARD_UNION_NOT_DISTJ_LT
13220.p Wrgcvdr_cizmrrh.DIH2K_IMP_PRE_SIMPLE_HYP
13221.p Wrgcvdr_cizmrrh.ITER1
13222.p Wrgcvdr_cizmrrh.DIH2K_IMP_SIMPLE_HYPERMAP
13223.p Wrgcvdr_cizmrrh.IN_ORBIT_IMP_ORBIT_SUBSET
13225.p Wrgcvdr_cizmrrh.HAS_ORDK_IN_ORBIT_IMP_SAME_ORBIT
13226.p Wrgcvdr_cizmrrh.DIH_IMP_EVERY_NODE_INTER_FACE
13227.p Wrgcvdr_cizmrrh.F_INVERSE_F
13228.p Wrgcvdr_cizmrrh.F_INVERSE_F_F
13232.p Wrgcvdr_cizmrrh.TOW_BIJS_IMP_BIJ_BETWEEN_FIRST
13233.p Wrgcvdr_cizmrrh.INDENT_IN_S1_IMP_BIJ
13234.p Wrgcvdr_cizmrrh.LOCAL_FAN_IMP_FAN
13235.p Wrgcvdr_cizmrrh.IN_ORBIT_MAP_IMP_F_Y
13237.p Wrgcvdr_cizmrrh.CYCLIC_SET_IMP_NOT_COLLINEAR
13238.p Wrgcvdr_cizmrrh.SLIDABLE_PROJECTION
13239.p Wrgcvdr_cizmrrh.LINEAR_PROJECTION
13240.p Wrgcvdr_cizmrrh.IDENTIFY_AZIM_CYCLE
13241.p Wrgcvdr_cizmrrh.EXISTS_SMALLEST_ELMS
13242.p Wrgcvdr_cizmrrh.EXIS_SMALLEST_WITH_AZIM_ORD
13243.p Wrgcvdr_cizmrrh.AZIM_CYCLE_PROPERTIES
13244.p Wrgcvdr_cizmrrh.PROJECT_EQ_VEC0_IMP_PARALLED
13246.p Wrgcvdr_cizmrrh.LE_ORD_IS_ASSYMETRY
13248.p Lvducxu.W_SUBSET_SINGLETON_IMP_IDE
13249.p Wrgcvdr_cizmrrh.AZIM_CYCLE_EQ_SIGMA_FAN
13250.p Wrgcvdr_cizmrrh.IVS_AZIM_AS_SIGMA_FAN
13251.p Wrgcvdr_cizmrrh.IVS_AZIM_PROPERTIES
13252.p Wrgcvdr_cizmrrh.IVS_AZIM_EQ_INVERSE_SIGMA_FAN
13254.p Wrgcvdr_cizmrrh.EE_OF_HYP_PERMUTES_DARTS
13255.p Wrgcvdr_cizmrrh.EE_SUBSET_UNIONS_E
13256.p Wrgcvdr_cizmrrh.FAN_IMP_FINITE_EE
13258.p Wrgcvdr_cizmrrh.IN_SELF_PAIRS_IMP_EE_EMPTY
13259.p Wrgcvdr_cizmrrh.IN_DARTS_IFF_NN_OF_HYP_TOO
13260.p Wrgcvdr_cizmrrh.IN_E_IMP_IMP_IN_DARTS
13261.p Wrgcvdr_cizmrrh.PAIR_EQ2
13262.p Wrgcvdr_cizmrrh.IN_ORD_E_EQ_IN_E
13263.p Wrgcvdr_cizmrrh.FAN_IMP_NN_OF_HYP_PERMUTES_DARTS
13264.p Wrgcvdr_cizmrrh.IVS_AZIM_EMPTY_IDE
13265.p Wrgcvdr_cizmrrh.FAN_IMP_IN_DARTS_IFF_FF_TOO
13266.p Wrgcvdr_cizmrrh.IN_E_IFF_IN_ORD_E
13267.p Wrgcvdr_cizmrrh.IN_ORD_E_IFF_SWITCH_TOO
13268.p Wrgcvdr_cizmrrh.SIG_AND_INVERSE1_SIG
13269.p Wrgcvdr_cizmrrh.INVERSE1_SIG_AND_SIG
13270.p Wrgcvdr_cizmrrh.FAN_IMP_FACE_MAP_PERMUTES_DARTS
13271.p Wrgcvdr_cizmrrh.nn_of_hyp3
13272.p Wrgcvdr_cizmrrh.ff_of_hyp3
13273.p Wrgcvdr_cizmrrh.FAN_IMP_FIMITE_DARTS
13274.p Wrgcvdr_cizmrrh.FAN_IMP_EE_EQ_SET_OF_EDGE
13275.p Wrgcvdr_cizmrrh.FAN_IMP_IN_SELF_PAIRS_IFF_FF_OF_HYP
13276.p Wrgcvdr_cizmrrh.FAN_IMP_FINITE_DARTS
13277.p Wrgcvdr_cizmrrh.FIRST_AAUHTVE
13278.p Wrgcvdr_cizmrrh.HYP_LEMMA
13279.p Wrgcvdr_cizmrrh.ELMS_OF_HYPERMAP_HYP
13281.p Wrgcvdr_cizmrrh.XX_SS_TT
13282.p Wrgcvdr_cizmrrh.IN_ORD_PAIRS_IMP_NN_OF_HYP_IN_ORD
13284.p Wrgcvdr_cizmrrh.N_HYP_TO_AZIM_CYCLE_LEM
13285.p Wrgcvdr_cizmrrh.iter_sigma_fan_in_set_of_edge
13286.p Wrgcvdr_cizmrrh.ITER_AZIM_CYCLE_EQ_ITER_SIGMA
13287.p Wrgcvdr_cizmrrh.pmp_to_iter
13288.p Wrgcvdr_cizmrrh.CYCLIC_SET_IMP_STABLE_SET2
13289.p Lvducxu.FAN_DART_DARTS
13290.p Wrgcvdr_cizmrrh.FAN_IMP_BIJ_V_NODE_OF_HYP
13291.p Wrgcvdr_cizmrrh.LOCAL_FAN_IMP_FF_SUBSET_DARTS
13292.p Wrgcvdr_cizmrrh.LOCAL_IMP_FINITE_DARTS
13293.p Wrgcvdr_cizmrrh.LOCAL_FAN_FINITE_FF
13294.p Wrgcvdr_cizmrrh.LOCAL_FAN_IMP_BIJ_FF_NODES
13296.p Wrgcvdr_cizmrrh.ITER_FIXPOINT2
13297.p Wrgcvdr_cizmrrh.NOT_IN_DARTS_NN_OF_HYP_POWER_IDE
13298.p Wrgcvdr_cizmrrh.IN_NODE_IMP_FIRST_EQ
13299.p Wrgcvdr_cizmrrh.BIJ_BETWEEN_FF_AND_V
13300.p Wrgcvdr_cizmrrh.WRGCVDR
13301.p Wrgcvdr_cizmrrh.IMP_FAN_V_PRIME_E_PRIME
13302.p Wrgcvdr_cizmrrh.E_PRIME_SUBSET_E
13303.p Wrgcvdr_cizmrrh.SUBSET_IMP_SO_DO_EE
13305.p Wrgcvdr_cizmrrh.CYCLIC_MAP_IMP_CIRCLE_ITSELF
13306.p Wrgcvdr_cizmrrh.DIH2K_IMP_NODE_MAP_X_DIFF_X
13307.p Wrgcvdr_cizmrrh.FAN_IMP_NOT_EMPTY_DARTS
13308.p Wrgcvdr_cizmrrh.FAN7_SIMPLE
13309.p Wrgcvdr_cizmrrh.FAN_IMP_DIFF
13310.p Wrgcvdr_cizmrrh.AFF_GE_TO_AFF_GT2_GE1
13311.p Wrgcvdr_cizmrrh.AFF_GE_INTER_AFF_LT_IMP_NOT_EQ_COL
13312.p Wrgcvdr_cizmrrh.CIZMRRH
13313.p Lvducxu.IN_FF_IMP_FST_SND_IN_V
13314.p Lvducxu.W_EQ_ITS_ORBIT_IMP_EQ_ITS_IMAGE
13315.p Lvducxu.FINITE_AND_LOOP_IMP_BIJ_S_IM_S
13316.p Lvducxu.CYCLIC_SET_IMP_SELF_LOPP2
13317.p Lvducxu.FIN_LOOP_IMP_BIJ_ITSELF
13318.p Lvducxu.IN_DARTS_FF_IMP_DARTS_E_PRIME_V_PRIME
13319.p Lvducxu.PROPERTIES_OF_IVS_AZIM_CYCLE2
13320.p Lvducxu.IN_EE_IFF_IN_E
13321.p Lvducxu.CYCLIC_SET_IMP_SELF_LOPP3
13322.p Lvducxu.BIJ_AZIM_CYCLE_EE
13323.p Lvducxu.IN_FF_FACE_MAP_IDE
13324.p Lvducxu.LOCALIZE_PRESERVE_FACE
13326.p Lvducxu.FAN_FACE_IMP_IVS_F_IN_F
13327.p Lvducxu.INVERSE_FACE_EQ_INV_FACE_LOCALLIZED
13328.p Lvducxu.ED_MA_O_NO_MA_EQ_INV_FA
13329.p Lvducxu.IN_FF_IMP_AZIM_CYCLE_EQ
13330.p Lvducxu.IN_DARTS_IMP_NN_OF_HYP_TOO
13331.p Lvducxu.CARD_E_GT1_EQ_CARD_E_PRIME
13332.p Lvducxu.AZIM_IN_FAN_EQ_IZIM_E_PRIME
13333.p Lvducxu.AZIM_CY_FST_Y_IN_FF
13334.p Lvducxu.EE_FST_Y_EQ_SET_SET_SNDY
13335.p Lvducxu.WEDGE_IN_FAN_EQ_WITH_E_PRIME
13336.p Lvducxu.DARTS_E_PRIME_EQ_FF_UNION_SWITCH
13337.p Lvducxu.CARD_FF_GT1_FF_SUBSET
13338.p Lvducxu.DARTS_E_PRIME_GT1_SWITCH
13339.p Lvducxu.FAN_FACE_GT1_IMAGE_EE_OF_HYP
13341.p Lvducxu.CARD_GT1_EE_OF_HYP_E_PRIME_EQ
13343.p Lvducxu.FIRST_AAUHTVE2
13346.p Lvducxu.FX_IN_S_IMP_F_POWER_TOO
13347.p Lvducxu.FX_IN_S_IMP_ORBIT_SUBSET
13348.p Lvducxu.FAN_DARTS_OF_IN_D
13350.p Lvducxu.FF_DISJOINT_ITS_IMAGE_CARD_EQ
13351.p Lvducxu.SIMPLE_FACE_DISJOINT_NODE_MAP_2
13352.p Lvducxu.ITER12
13353.p Lvducxu.EDGE_MAP_RESO_INVERSE_conjunct0
13354.p Lvducxu.EDGE_MAP_RESO_INVERSE_conjunct1
13355.p Lvducxu.HAS_ORD2_INTERPRET
13356.p Lvducxu.ITER_CYCLIC_ORBIT
13357.p Lvducxu.FACE_CYCLE_CARD
13361.p Lvducxu.INVERSE_FACE_CYCLE
13362.p Lvducxu.INVERSE_FACE_CYCLE_ALL
13363.p Lvducxu.DIH2K_IMP_SIMPLE_HYPERMAP2
13368.p Lvducxu.HYP_MAPS_INVS_conjunct1
13370.p Lvducxu.DIH2K_FACE_SIMPLIZED
13371.p Lvducxu.EE_OF_HYP_IDE_FST_SND_EQ
13372.p Lvducxu.ENF_IMAGE_ITSELF_conjunct2
13373.p Lvducxu.ENF_IMAGE_ITSELF_conjunct1
13374.p Lvducxu.ENF_IMAGE_ITSELF_conjunct0
13375.p Lvducxu.IDE_ON_S_IMP_SAME_IMAGE
13376.p Lvducxu.DIH_K_HYP_E_PRIME
13379.p Ldurdpn.IN_HULL_INSERT
13380.p Ldurdpn.VECTOR_SCALE_CHANGE
13381.p Ldurdpn.AFF_CONV0_IN_AFF_LT
13382.p Ldurdpn.LDURDPN
13383.p Local_lemmas.LOCAL_FAN_IMP_IN_V
13384.p Local_lemmas.LOCAL_FAN_RHO_NODE_PROS
13385.p Local_lemmas.ORTHONORMAL_CYCLIC
13386.p Local_lemmas.FAN_SINGLETON_V_DARTS
13387.p Local_lemmas.FAN_IN_DARTS_FST_EQ_SND_SELF_PAIRS
13389.p Local_lemmas.COLLINEAR_CROSS_0
13390.p Local_lemmas.DET_CROSS
13392.p Local_lemmas.CROSS_DOT_COPLANAR
13393.p Local_lemmas.SUBSET_NOT_COLLINEAR_AFFINE_HULL_EQ
13394.p Local_lemmas.THREE_NOT_COLL_DETER_PLANE
13395.p Local_lemmas.LOCAL_FAN_NOT_V_SING
13396.p Local_lemmas.LOCAL_FAN_NOT_SING_FF
13397.p Local_lemmas.LOCAL_FAN_IN_FF_DISTINCT
13398.p Local_lemmas.LOCAL_FAN_IN_FF_IN_ORD_PAIRS
13399.p Local_lemmas.LOCAL_FAN_IN_FF_NOT_COLLINEAR
13400.p Local_lemmas.LOCAL_FAN_CHARACTER_OF_RHO_NODE
13401.p Local_lemmas.graph2
13402.p Local_lemmas.GRAPH_WITH_SET2
13403.p Local_lemmas.FAN_V_TWO_ELMS_IN_E_DARTS2
13404.p Local_lemmas.FAN_IN_E_DIFF
13405.p Local_lemmas.LOCAL_FAN_NOT_TWO_V_IN_E
13406.p Local_lemmas.LOCAL_FAN_ORBIT_MAP_V
13407.p Local_lemmas.LOCAL_FAN_RHO_NODE_PROS2
13408.p Local_lemmas.FINTE_OF_N_FIRST_ELMS2
13409.p Local_lemmas.PLANE_AFFINE_HUL_INTER_P
13410.p Local_lemmas.FAN_IMP_V_DIFF
13411.p Local_lemmas.LOCAL_FAN_IMP_CYCLIC_SET
13412.p Local_lemmas.LOCAL_FAN_ITER_RHO_NODE_IN_V
13413.p Local_lemmas.ORD2_ORBIT_MAP
13414.p Local_lemmas.LOCAL_FAN_IMP_NOT_SEMI_IDE
13415.p ENDS_IN_HALFLINE_conjunct1
13416.p ENDS_IN_HALFLINE_conjunct0
13417.p Local_lemmas.RHO_NODE_SET_IN_A_PLANE_IMP_POS_DIRECT
13418.p Local_lemmas.AZIM_RANGE
13419.p Local_lemmas.PI_TO_TWO_PI_NEG_SIN
13420.p Local_lemmas.MIXED_PROD_POS_IMP_RANGE_AZIM
13421.p Local_lemmas.COLLINEAR_ONCE_VEC_0
13422.p Local_lemmas.AFF_GE11
13423.p Local_lemmas.X_IN_AFF_GE11
13424.p Local_lemmas.FAN_IN_AFF_GE_IMP_EQ
13425.p Local_lemmas.AFF_GE22
13426.p Local_lemmas.RHO_NODE_IS_SUCCESEOR_AZIM
13427.p Local_lemmas.FIRST_AZIM_CYCLE_EQ_RHO_NODE
13428.p Local_lemmas.SEQUENCE_OF_RHO_NODE_IS_SUC
13429.p Local_lemmas.V_AZIM_SMALLEST_ELMS
13430.p Local_lemmas.AZIM_LAST_POINT_IN_RHO_SET
13431.p Local_lemmas.LOOP_MAP_IMP_DIFF_FIRST_ELMS
13432.p Local_lemmas.CARD_IMAGE_INJ2
13433.p Local_lemmas.BIJ_IMP_CARD_EQ
13434.p Local_lemmas.LOFA_IMP_DIS_ELMS
13435.p Local_lemmas.AZIM_LAST_POINT_IN_RHO_SET2
13436.p Local_lemmas.KOMWBWC
13437.p Local_lemmas.WEDGE_GE_AZIM_LE
13438.p Local_lemmas.IN_WEDGE_IMP_AZIM_LE
13439.p Local_lemmas.LOFA_IMAGE_RHO_NODE_IDE
13440.p Local_lemmas.EXISTS_INVERSE_OF_V
13441.p Local_lemmas.LOFA_IN_V_SO_DO_RHO_NODE_V
13442.p Local_lemmas.HYP_MAPS_INVERSABLE
13443.p Local_lemmas.LOFA_DARTS_FF_UNION_SWITCH_FF
13444.p Local_lemmas.SELF_CYCLIC_IMP_FINITE
13445.p Local_lemmas.SELF_CYCLIC_IMP_BIJ
13446.p Local_lemmas.LOFA_IN_E_IMP_IN_FF
13447.p Local_lemmas.LOFA_IMP_EE_TWO_ELMS
13448.p Local_lemmas.LOFA_CARD_EE_V_2
13449.p Local_lemmas.LOFA_CARD_EE_V_1
13450.p Local_lemmas.RHO_NODE_INVERSE_POINT
13451.p Local_lemmas.AZIM_CYCLE_TWO_POINT_SET
13452.p Local_lemmas.LOFA_IMP_BIJ_VV
13453.p Local_lemmas.MOST_EXPAND_IN_WEDGE_GE
13454.p Local_lemmas.OZQVSFF
13455.p Local_lemmas.REAL_LT_DIV_NEG
13456.p Local_lemmas.IN_CONV0
13457.p Local_lemmas.INTERSECTION_LEMMA
13458.p Local_lemmas.CVX_LO_IMP_LO
13459.p Local_lemmas.S_SUBSET_IMP_AFF_S_TOO
13460.p Local_lemmas.AFF2_DET_BY_TWO_POINTS
13461.p Local_lemmas.IN_CONV0_EQ_EQ
13462.p Local_lemmas.CONV02_SUBSET_AFF2
13463.p Local_lemmas.IN_CONV0_IMP_AFF_EQ
13464.p Local_lemmas.IN_CONV0_AFF_SUBSET
13465.p Local_lemmas.CONDS_FOR_INTER_AFF_CONV0
13466.p Local_lemmas.SUBSET_AFF2_IMP_COLL
13467.p Local_lemmas.COLLINEAR_SUBSET_AFF2
13468.p Local_lemmas.AFF_CONV0_COLL4
13469.p Local_lemmas.CONDS_IN_HAFL_LINE
13470.p Local_lemmas.PRESERABLE_AFF_GE_SUBSET
13471.p Local_lemmas.AFF_GE_EQ
13472.p Local_lemmas.FAN_INTERSECTION_PRO_EXPRESS
13473.p Local_lemmas.FAN_INTERSECTION_PRO_EXPRESS2
13475.p Local_lemmas.AFF2_ITR_CONV0_IMP_SAME_ENDS
13476.p Local_lemmas.AFF_XX_CASES
13477.p Local_lemmas.NOT_X_IN_AFF_X_A
13478.p Local_lemmas.INTER_EQ_EM_EXPAND
13479.p Local_lemmas.NOT_INTER_EQ_EM_IMP_AFF_SUBSET
13480.p Local_lemmas.IN_AFF_HULL_3
13481.p Local_lemmas.lemma_in_orbit_iter
13482.p Local_lemmas.LOCAL_FAN_ORBIT_MAP_VITER
13483.p Local_lemmas.INTER_AFF_GT_LT_IMP_INTER_AFF_CONV0
13484.p Local_lemmas.AFF_GT_AFF_LT_INTERPRET
13485.p Local_lemmas.AFF_GT_AFF_LT_INTERPRET2
13486.p Local_lemmas.EXISTS_IN
13487.p Local_lemmas.AFF_GT_LT_INTER_SYM
13488.p Local_lemmas.EXISTS_INTERSECTION_PROPERPLY
13489.p Local_lemmas.LOFA_V_SUBSET_AFF_HULL
13490.p Local_lemmas.DETER_RHO_NODE
13491.p Local_lemmas.CARD_RECUSIVE_EQ
13493.p Local_lemmas.LEMMA_SUBSET_ORBIT_MAP
13494.p Local_lemmas.LEMMA_SUBSET_ORBIT_MAP_LT
13495.p Local_lemmas.LOOP_SET_DETER_FIRTS_ELMS
13496.p Local_lemmas.SIN_SUB_PERIODIC
13497.p Local_lemmas.KCHMAMG
13499.p Local_lemmas.AZIM_EQ_0_GE_ALT2
13500.p Local_lemmas.WEDGE_GE_EQ_AFF_GE
13501.p Local_lemmas.AZIM_PI_WEDGE_GE_SIN
13502.p Local_lemmas.AZIM_PI_WEDGE_GE_CROSS_DOT
13503.p Local_lemmas.AZIM_PI_CONVEX_WEDGE
13504.p Local_lemmas.CONVEX_WEDGE_LE_PI
13505.p Local_lemmas.wedge_in_fan_ge2
13506.p Local_lemmas.azim_in_fan2
13507.p Local_lemmas.LOFA_IMP_NOT_INCLUDE_VEC0
13508.p Local_lemmas.CONDS_IN_CONV2
13509.p Local_lemmas.AZIM_SPEC_DEGENERATE_conjunct1
13510.p Local_lemmas.AZIM_SPEC_DEGENERATE_conjunct0
13511.p Local_lemmas.PGSQVBL
13512.p Local_lemmas.FST_EQ_IF_SAME_SND
13513.p Local_lemmas.PRE_IVS_RHO_NODE1_DETE
13514.p Local_lemmas.IVS_RHO_NODE1_DETE
13515.p Local_lemmas.AZIM_EQ_0_SYM2
13516.p Local_lemmas.LOCAL_FAN_IN_FF_IN_ORD_PAIRS2
13517.p Local_lemmas.INTERIOR_ANGLE1_POS
13518.p Local_lemmas.FAN_IMP_NOT_IN_AFF_GE
13519.p Local_lemmas.IN_AFF_LT_IMP_IN_CONV
13520.p Local_lemmas.FAN_SUB_NOT_EQ_COLL_IN_CONV0
13521.p Local_lemmas.IN_CONV_LINE_SEPERATABLE
13522.p Local_lemmas.CVLF_LF_F
13523.p Local_lemmas.EMPTY_NOT_EXISTS_IN
13524.p Local_lemmas.LUNAR_IMP_INTERIOR_ANGLE1_EQ_PI
13525.p Local_lemmas.AFF_GE_MONO_TRANS
13526.p Local_lemmas.AFF_GT_MONO_TRANS
13527.p Local_lemmas.CONV_UNION_SUB_AFF_GE
13528.p Local_lemmas.CONV_MONO
13529.p Local_lemmas.CONV3_SUBSET_AFF_GE_3S
13530.p Local_lemmas.P_SET3_IMP_SET2
13533.p Local_lemmas.LOFA_IMP_BIJ_FF_V
13534.p Local_lemmas.LOFA_IMP_CARD_FF_V_EQ
13535.p Local_lemmas.FIRST_IN_AFF
13536.p Local_lemmas.HALF_CIRCULAR_IN_PLANE
13537.p Local_lemmas.LOFA_IMP_AZIM_RHO_NODE_ST
13538.p Local_lemmas.LOFA_IMP_DIS_ELMS2
13539.p Local_lemmas.RHO_NODE1_MONO_WITH_AZIM
13540.p Local_lemmas.DISJOINT_IMP_Z_IN_AFF_GT
13541.p Local_lemmas.LOFA_IMP_DIS_ELMS23
13542.p Local_lemmas.NOT_COLL_IMP_COPL
13543.p Local_lemmas.COLL_IFF_COLL_CROSS
13544.p Local_lemmas.LOCAL_FAN_CHARACTER_OF_RHO_NODE2
13545.p Local_lemmas.LUNAR_IMP_HALF_CIRCLE_SUBSET_AFF_GT
13546.p Local_lemmas.LOOP_SET_ITER_CARD_ID
13547.p Local_lemmas.LOFA_IMP_ITER_RHO_NODE_ID
13548.p Local_lemmas.CONV_SUBSET_AFF_GE
13549.p Local_lemmas.CONV0_SUBSET_AFF_GT
13550.p Local_lemmas.collinear_fan22
13551.p Local_lemmas.IN_CONV0_IMP_COLL_IFF
13552.p Local_lemmas.IN_CONV0_IMP_COLL_ENDS_AFF
13554.p Local_lemmas.AFF_GT_MONO
13555.p Local_lemmas.AFF_GT_SUB_AFF_UNION
13556.p Local_lemmas.SIN_AZIM_NEG_PI_LT
13557.p Local_lemmas.NEXT_OPOSITE_POINT_IS_NOT_IN_AFF_GT
13558.p Local_lemmas.FOR_AFF_GT_NOT_INTERSECTION
13559.p Local_lemmas.NOT_COLL_RHONODE_SND_POINT
13560.p Local_lemmas.NOT_INTERSECTION_BWT_AFF_GTS
13561.p Local_lemmas.LUNAR_COMM
13562.p Local_lemmas.CONV0_AFF_GT_EQ
13563.p Local_lemmas.AFF_GT_SAME_WITH_ENDS
13565.p Local_lemmas.USEFULL_THHM
13566.p Local_lemmas.COLL_IN_AFF_GT_TOO
13567.p Local_lemmas.AFF_GT_IN_IMP_SUBSET
13568.p Local_lemmas.FOR_AFF_GT_NOT_INTERSECTION2
13569.p Local_lemmas.INVS_IN_AFF_GT
13570.p Local_lemmas.COLL_IN_AFF_GT_AFF_GT_EQ
13571.p Local_lemmas.NEXT_OPOSITE_POINT_IS_NOT_IN_AFF_GT2
13572.p Local_lemmas.LUNAR_IMP_HALF_CIRCLE_SUBSET_AFF_GT100
13573.p Local_lemmas.IVS_RHO_IDD
13574.p Local_lemmas.AFF_IVS_RHO_NODE_EQQ
13575.p Local_lemmas.LOFA_IMP_LT_CARD_SET_V
13576.p Local_lemmas.NOT_COLL_IMP_NOT_AFF_SUB
13577.p Local_lemmas.HALP_CIRCLE_IS_INTERSECTION
13578.p Local_lemmas.CONVEX_LOFA_IMP_INANGLE_LE_PI
13579.p Local_lemmas.X_IN_AFF_GT_X
13580.p Local_lemmas.IVS_RNODE_IN_AFF_V
13581.p Local_lemmas.AZIM_LE_PI_EQ_DIHV
13582.p Local_lemmas.LOFA_IMP_NOT_COLL_IVS
13583.p Local_lemmas.DIHV_NOT_CHANGE
13584.p Local_lemmas.LUNAR_IMP_INTERIOR_ANGLE_EQQ
13585.p Local_lemmas.HKIRPEP
13587.p Counting_spheres.EMPTY_NOT_EXISTS_IN
13589.p Local_lemmas.SURJ_IMP_FINITE
13593.p Local_lemmas.LOFA_V_NOT_EMP
13594.p Local_lemmas.LOCAL_FAN_FINITE_V
13595.p Local_lemmas.ITER_CARD_MINUS1_EQ_IVS_RN1
13596.p Local_lemmas.FIRST_EQ0_LAST_LT_PI
13598.p Local_lemmas.DETERMINE_WEDGE_IN_FAN
13599.p Local_lemmas.LOCAL_FAN_IMP_IN_V2
13600.p Local_lemmas.LOFA_DETERMINE_AZIM_IN_FA
13601.p Local_lemmas.PRIOR_TO_LESS_THAN_PI_LEMMA
13602.p Local_lemmas.IN_V_IMP_AZIM_LESS_PI
13603.p Local_lemmas.NEXT_PRO_IMP_ALLS_STRICT
13604.p Local_lemmas.LOFA_IMP_V_DIFF
13605.p Local_lemmas.SIN_AZIM_POS_PI_LT
13606.p Local_lemmas.OPPOSITE_SIDES_IMP_INTER
13607.p Local_lemmas.DISJOINT_DOUBLE_SING
13608.p Local_lemmas.AFF_IN_TWO_PARTS
13609.p Local_lemmas.INTER_UNION_EMPTY
13610.p Local_lemmas.CONV0_SUB_CONV
13611.p Local_lemmas.SIN_AZIM_MUTUAL_SROSS_conjunct1
13612.p Local_lemmas.SIN_AZIM_MUTUAL_SROSS_conjunct0
13613.p Local_lemmas.MONO_AZIM_AS_BTA_I
13614.p Local_lemmas.SUCCESSIVE_RHO_NODE1_AFF_LT
13615.p Local_lemmas.IN_OPOSITE_SIDE_IMP_INTER
13616.p Local_lemmas.TWO_SIDES_SUCESSIVE
13617.p Local_lemmas.LOCAL_FAN_CHARACTER_OF_RHO_NODE3
13618.p Local_lemmas.CNVX_IMP_INTERIOR_ANGLE_PI
13619.p Local_lemmas.INSERT_UNION2
13620.p Local_lemmas.EGHNAVX
13621.p Nkezbfc_local.CONVEX_LOFA_IMP_INANGLE_EQ_AZIM
13622.p Nkezbfc_local.SOL_LOFA_EQ_SUM_INANGLE
13623.p Nkezbfc_local.CARD_VERTEX_GE_3_LOCAL_FAN
13625.p Nkezbfc_local.CONVEX_LOFA_IMP_INANGLE_EQ_AZIM_IVS
13626.p Nkezbfc_local.SOL_LOCAL_FAN_POS_CASE3
13627.p Nkezbfc_local.AFF_LT_1_1
13628.p Nkezbfc_local.PROPERTIES_GENERIC_LOCAL_FAN
13629.p Nkezbfc_local.PROPERTIES_GENERIC
13630.p Nkezbfc_local.PROPERTIES_GENERIC1
13631.p Nkezbfc_local.AZIM_PI_WEDGE_SIN
13632.p Nkezbfc_local.AZIM_PI_WEDGE_CROSS_DOT
13633.p Nkezbfc_local.AFF_GT_SUBSET_WEDGE_IMP_VERTEX
13634.p Nkezbfc_local.CONDITION_INANGLE_CROSS_DOT
13635.p Nkezbfc_local.AFF_GE_3_1
13636.p Nkezbfc_local.AFF_GE_2_2
13638.p Nkezbfc_local.aff_ge_3_1_rep_cross_dot
13640.p Nkezbfc_local.PROPERTIES_AFF_GT_SUBSET_WEDGE
13642.p Nkezbfc_local.aff_ge_subset3_aff_ge
13643.p Nkezbfc_local.AFF_GE_EQ_AFF_GE_UNION
13644.p Nkezbfc_local.ORDER
13645.p Nkezbfc_local.UNIQUE_ORDER
13648.p Arc_properties.REALLIM_ATREAL_LOCAL
13649.p Arc_properties.HAS_REAL_DERIVATIVE_LOCAL
13650.p Arc_properties.REAL_LT_ONE_LDIV
13651.p Arc_properties.arc_derivative
13652.p Arc_properties.COS_EQ_NEG_SIN
13653.p Arc_properties.COS_DERIVATIVES
13654.p Arc_properties.REAL_TAYLOR_COS_RAW
13655.p Arc_properties.SUM_PAIR_0
13656.p Arc_properties.REAL_TAYLOR_COS
13657.p Arc_properties.arc_lemma1
13658.p Arc_properties.ups_x_sym
13659.p Arc_properties.arc_sym
13660.p Arc_properties.arc_concave
13661.p Arc_properties.arc_lemma3
13662.p Arc_properties.ABS_LE_BOUNDS
13663.p Arc_properties.estimate0
13664.p Arc_properties.estimate1
13667.p Arc_properties.arc_lemma4
13668.p Arc_properties.arc_lemma5
13671.p Cfyxfty.GINGUAP
13673.p Cfyxfty.FACET_SUBSET_CLOSURE_FCHANGED
13674.p Cfyxfty.MAP_EDGES_FACET_INTO_E1_FAN
13675.p Cfyxfty.LIM_NULL_CMUL_BOUNDED_FAN
13676.p Cfyxfty.MAP_EDGES_FACET_INTO_E1_FAN_INJ
13677.p Cfyxfty.CONVEX_OPEN_AFF_GT_FACE
13678.p Cfyxfty.AFF_GE_3_1
13679.p Cfyxfty.inter_aff_ge_3_1_is_aff_ge_1_3
13680.p Cfyxfty.CLOSURE_AFF_GT_3_1_EQ_AFF_GE_3_1
13681.p Cfyxfty.CLOSURE_AFF_GT_1_3_EQ_AFF_GE_1_3
13682.p Cfyxfty.AFF_GT_SUBSET_CLOSURE_DARTSET_LEADS_INTO_FAN
13683.p Cfyxfty.IN_EDGES0_FAN
13684.p Cfyxfty.SUBSET_EDGES0_FAN
13685.p Cfyxfty.EDGES0_SUBSET_FAN
13686.p Cfyxfty.CFYXFTY0
13690.p Ysskqoy.DOT_COMPLEX
13691.p Ysskqoy.DOT_RE
13692.p Ysskqoy.ARG_CNJ
13694.p Ysskqoy.CARD_UNION_EQ
13695.p Ysskqoy.INJ_SURJ
13696.p Ysskqoy.INJ_IFF_SURJ
13698.p Ysskqoy.norm_normalize
13700.p Ysskqoy.RE_CEXP_CX
13701.p Ysskqoy.RE_NORM_1
13702.p Ysskqoy.COS_ARG_VECTOR_ANGLE
13703.p Ysskqoy.SEC_DOT
13704.p Ysskqoy.arclength2
13705.p Ysskqoy.yssk_reduction
13708.p Ysskqoy.arc_derivative
13709.p Ysskqoy.arc_derivative2
13710.p Ysskqoy.arc_length2_increasing
13711.p Ysskqoy.arc_length1_increasing
13712.p Ysskqoy.YSSKQOY
13713.p Counting_spheres.lemma
13714.p Counting_spheres.eus1
13715.p Counting_spheres.facet_rep_uniq
13717.p Counting_spheres.facet_rep_uniq_c
13718.p Counting_spheres.norm1_cauchy_eq
13719.p Counting_spheres.facet_rep_in_facet
13720.p Counting_spheres.facet_rep_refl
13721.p Counting_spheres.DOT_EQ_IMP_INEQ_LEMMA
13722.p Counting_spheres.DOT_EQ_IMP_INEQ
13723.p Counting_spheres.affine_facet_hyper
13724.p Counting_spheres.POLYHEDRON_MEMBER
13725.p Counting_spheres.facet_rep_in_poly
13727.p Counting_spheres.facet_arg_lt_pi
13728.p Counting_spheres.eus_cos
13729.p Counting_spheres.insert_v
13730.p Counting_spheres.facet_rep_a_uniq
13731.p Counting_spheres.poly_sort_antisym
13732.p Counting_spheres.poly_sort_trans
13733.p Counting_spheres.POLY_SORT_LEMMA
13734.p Counting_spheres.POLY_SORT
13735.p Counting_spheres.POLY_SORT_BIJ
13736.p Counting_spheres.facet_rep_nz
13744.p Counting_spheres.regular_spherical_polygon_area_asnFnhk
13745.p Counting_spheres.regular_spherical_polygon_area_797
13746.p Counting_spheres.BIEFJHU_explicit
13747.p Counting_spheres.UKBRPFE_explicit
13748.p Counting_spheres.DLWCHEM_sum
13749.p Counting_spheres.XULJEPR_sum
13750.p Counting_spheres.REAL_CONVEX_ON_SECOND_SECANT
13751.p Counting_spheres.asn_sin_t'
13752.p Counting_spheres.asn_sin_t''
13753.p Counting_spheres.asn_sin_t''_alt
13754.p Counting_spheres.real_interval_not_sing
13755.p Counting_spheres.g_convex
13756.p Counting_spheres.GOTCJAH_convex_sum
13757.p Counting_spheres.dih_dot
13758.p Counting_spheres.abs_1_prod
13759.p Counting_spheres.sloc2_ortho
13760.p Counting_spheres.vol_solid_triangle_ortho
13761.p Counting_spheres.INJ_IMAGE
13762.p Counting_spheres.INJ_CARD
13763.p Counting_spheres.card_packing_ball
13764.p Counting_spheres.card_packing_annulus
13765.p Counting_spheres.FINITE_MAX_EXISTS
13766.p Counting_spheres.NOT_EMPTY_IMAGE
13767.p Counting_spheres.PACKING_INSERT
13768.p Counting_spheres.weak_saturation
13769.p Counting_spheres.RADIAL_NORM_LINEAR_INVARIANT
13770.p Counting_spheres.linear_inter_normball
13775.p Counting_spheres.dropout_pad2d3d
13776.p Counting_spheres.pad2d3d_dropout
13777.p Counting_spheres.pad2d3d_dropout_lemma
13778.p Counting_spheres.pad_in
13779.p Counting_spheres.pad2d3d_facet
13781.p Counting_spheres.complex_frac_cancel
13782.p Counting_spheres.REAL_CX0
13783.p Counting_spheres.ARG_INV_ALT
13784.p Counting_spheres.ARG_ORDER
13785.p Counting_spheres.POLYSORT_BIJ2
13786.p Counting_spheres.EUSOTYP_simple
13787.p Counting_spheres.EUSOTYP_general
13788.p Dih2k_hypermap.tau_fun
13789.p Dih2k_hypermap.FINITE_PRODUCT_IMAGE
13790.p Dih2k_hypermap.DIMINDEX_HAS_SIZE_FINITE_PRODUCT
13791.p Dih2k_hypermap.DIMINDEX_FINITE_PRODUCT
13792.p Dih2k_hypermap.INDEX_VECMAT
13793.p Dih2k_hypermap.VECMAT_ROW
13794.p Dih2k_hypermap.VECMATS_MATVEC_ID
13795.p Dih2k_hypermap.MATVEC_VECMATS_ID
13796.p Dih2k_hypermap.LINEAR_VECMAT
13797.p Dih2k_hypermap.VECMAT_VEC
13798.p Dih2k_hypermap.VECMAT_ADD
13799.p Dih2k_hypermap.VECMAT_CMUL
13800.p Dih2k_hypermap.VECMAT_NEG
13801.p Dih2k_hypermap.VECMAT_SUB
13804.p Dih2k_hypermap.MATVEC_SUB
13805.p Dih2k_hypermap.NORM_VECMAT
13806.p Dih2k_hypermap.DIST_VECMAT
13807.p Dih2k_hypermap.DOT_VECMAT
13808.p Dih2k_hypermap.NORM_VECMAT_SUM
13809.p Dih2k_hypermap.BOUNDED_MATVEC
13810.p Dih2k_hypermap.CLOSED_MATVEC
13811.p Dih2k_hypermap.COMPACT_MATVEC
13812.p Dih2k_hypermap.CLOSED_BALL_ANNULUS
13813.p Dih2k_hypermap.BOUNDED_BALL_ANNULUS
13814.p Dih2k_hypermap.COMPACT_BALL_ANNULUS
13815.p Dih2k_hypermap.COMPACT_BALL_ANNULUS_MATVEC
13817.p Dih2k_hypermap.SUC_NOT
13818.p Dih2k_hypermap.NONPARALLEL_BALL_ANNULUS
13819.p Dih2k_hypermap.VEC0_BALL_ANNULUS
13820.p Dih2k_hypermap.BALL_ANNULUS_3PONITS_ANGLE
13821.p Dih2k_hypermap.BALL_ANNULUS_3PONITS_NORM_MIN
13822.p Dih2k_hypermap.BALL_ANNULUS_4PONITS_AFF_GT
13823.p Dih2k_hypermap.AFF_INTER_AFF_GT_EQ_EMPTY
13824.p Dih2k_hypermap.AFF_GE_INTER_AFF_GT_EQ_EMPTY
13825.p Dih2k_hypermap.CONTINUOUS_ON_LIFT_PRODUCT
13826.p Dih2k_hypermap.CONTINUOUS_ON_DET
13827.p Dih2k_hypermap.ROW_SUB
13828.p Dih2k_hypermap.LIM_MATVEC
13829.p Dih2k_hypermap.LIM_VECMAT
13830.p Dih2k_hypermap.CROSS_DOT_SEQUENTIALLY
13831.p Dih2k_hypermap.ABS_LT_EPSI
13832.p Dih2k_hypermap.LIM_SUBSEQUENCE1
13833.p Dih2k_hypermap.SEQUENTIALLY_EQ_2POINT
13834.p Dih2k_hypermap.LIM_IN_SET
13835.p Dih2k_hypermap.POINT_COM_AFF_GT_INTER
13836.p Dih2k_hypermap.DART_FAN_SY
13837.p Dih2k_hypermap.DART_FAN_SY1
13838.p Dih2k_hypermap.EDGE_IN_E_SY
13839.p Dih2k_hypermap.EQ_EDGE_E_SY
13840.p Dih2k_hypermap.EQ_EDGE_E_SY1
13841.p Dih2k_hypermap.MOD_IMP_EQ
13842.p Dih2k_hypermap.SET_OF_EDGE_CARD_EQ2
13843.p Dih2k_hypermap.INV_AZIM_CYCLE_EQ
13844.p Dih2k_hypermap.INV_AZIM_CYCLE_EQ1
13845.p Dih2k_hypermap.FF_OF_HYP_EQ
13846.p Dih2k_hypermap.POWER_FF_OF_HYP_EQ
13847.p Dih2k_hypermap.POWER_FF_HYP_ID
13848.p Dih2k_hypermap.FACE_HYP_FAN_SY
13849.p Dih2k_hypermap.CARD_F_SY_EQ
13850.p Dih2k_hypermap.AZIM_CYCLE_EQ1
13851.p Dih2k_hypermap.AZIM_CYCLE_EQ
13852.p Dih2k_hypermap.NN_OF_HYP_EQ1
13853.p Dih2k_hypermap.NN_OF_HYP_EQ
13854.p Dih2k_hypermap.DART_OF_HYP_SY_EQ
13855.p Dih2k_hypermap.IMAGE_NN_OF_HYP_F_SY
13856.p Dih2k_hypermap.CARD_IMAGE_F_SY_EQ
13857.p Dih2k_hypermap.SUC_POWER2_NOT
13858.p Dih2k_hypermap.F_SY_INTER_IMAGE_NN_EMPTY
13859.p Dih2k_hypermap.FINITE_F_SY
13860.p Dih2k_hypermap.FINITE_IMAGE_F_SY
13861.p Dih2k_hypermap.CARD_DART_OF_HYP
13862.p Dih2k_hypermap.IMAGE_NN_OF_HYP_EQ_F_SY
13863.p Dih2k_hypermap.DART_OF_HYP_SY_EQ1
13864.p Dih2k_hypermap.F_SY_EQ_FACE
13865.p Dih2k_hypermap.FF_OF_HYP_EQ1
13866.p Dih2k_hypermap.POWER_FF_OF_HYP_EQ1
13867.p Dih2k_hypermap.POWER_FF_HYP_ID1
13868.p Dih2k_hypermap.FACE_HYP_FAN_SY1
13869.p Dih2k_hypermap.F_SY_EQ_FACE1
13870.p Dih2k_hypermap.DART_OF_HYP_EQ_FACE_SY
13871.p Dih2k_hypermap.ID_FF_OF_HYP_NOT_DARTS
13872.p Dih2k_hypermap.CARD_FACE_SY
13873.p Dih2k_hypermap.FF_OF_HYP_POWER_EQ_ID
13874.p Dih2k_hypermap.EXISTS_POINT_DART_OF_HYP
13875.p Dih2k_hypermap.FF_OF_HYP_NOT_EQ_ID
13876.p Dih2k_hypermap.FF_OF_HYP_HAS_ORDERS
13878.p Dih2k_hypermap.NODE_SY_POWER_ID
13879.p Dih2k_hypermap.ID_NN_OF_HYP_NOT_DARTS
13880.p Dih2k_hypermap.NN_OF_HYP_POWER_EQ_ID
13881.p Dih2k_hypermap.NODE_SY_NOT_ID
13882.p Dih2k_hypermap.NN_OF_HYP_NOT_EQ_ID
13883.p Dih2k_hypermap.NN_OF_HYP_HAS_ORDERS
13885.p Dih2k_hypermap.DIH2K_FAN_HYP_SY
13886.p Wjscpro.POWER_MOD_FUN
13887.p Wjscpro.CLOSED_SY
13888.p Wjscpro.BOUNDED_SY
13889.p Wjscpro.WJSCPRO
13890.p Tecoxbm.CROSS_DOT_POS_SY
13891.p Tecoxbm.IVS_RHO_NODE_IN_EDGE
13893.p Tecoxbm.PROPERTIES_OF_FAN_IN_B_SY
13894.p Tecoxbm.AFF_GT_INTER_AFF_SY
13895.p Tecoxbm.TECOXBM1
13896.p Tecoxbm.TECOXBM2
13897.p Tecoxbm.TECOXBM
13898.p Hdplygy.MOD_EQ_MOD1
13899.p Hdplygy.MOD_EQ_MOD
13900.p Hdplygy.EAR_STABLE_SYSTEM
13902.p Hdplygy.FINITE_J_SY
13903.p Hdplygy.FINITE_J1_SY
13904.p Hdplygy.CONTINUOUS_ON_ROW
13906.p Hdplygy.CONTINUOUS_ON_D_FUN
13907.p Hdplygy.INJ_B_SY
13908.p Hdplygy.INJ_ROW_B_SY
13909.p Hdplygy.CHANGE_SUM_TAU_FUN
13910.p Hdplygy.CONTINUOUS_ON_SAME_DOMAIN
13911.p Hdplygy.EDGE_IN_F_SY
13913.p Hdplygy.SEQUENTIALLY_DIVH
13914.p Hdplygy.COLLINEAR_B_SY
13915.p Hdplygy.COLLINEAR_AZIM_CYCLE_B_SY
13916.p Hdplygy.AZIM_EQ_DIHV_IN_B_SY
13917.p Hdplygy.CONTINUOUS_ON_RHO_FUN_AND_AZIM
13918.p Hdplygy.CONTINUOUS_ON_TAU_FUN
13919.p Hdplygy.CONTINUOUS_ON_TAU_STAR
13920.p Hdplygy.MINIMUM_IN_B_SY
13921.p Hdplygy.HDPLYGY
13922.p Gbycpxs.CARD_F_SY_IN_B_SY
13924.p Gbycpxs.B_SY_LE_CSTAB
13925.p Gbycpxs.PROPERTIES_EAR_SY
13926.p Gbycpxs.SING_J1_SY
13927.p Gbycpxs.D_FUN_LE
13928.p Gbycpxs.TAU_FUN_LE
13929.p Gbycpxs.TAU_STAR_POS
13930.p Gbycpxs.CIRCULAR_SOL_EQ_2PI
13932.p Gbycpxs.GBYCPXS
13933.p Mtuwlun.CARD_I_SY_LT_3
13934.p Mtuwlun.COVER_NOT_EAR_SY
13935.p Mtuwlun.DIAGONAL_SY
13936.p Mtuwlun.IK_SY
13937.p Mtuwlun.K_SY_LE2
13938.p Mtuwlun.IN_J_IMP_IN_J1_SY
13943.p Mtuwlun.PMAT2_EQ_SY
13944.p Mtuwlun.PMAT1_EQ_SY
13945.p Mtuwlun.PMAT1_EQ_SY_P
13946.p Mtuwlun.POWER_RHO_NODE_SY
13947.p Mtuwlun.RHO_NODE_K_SY
13948.p Mtuwlun.RHO_NODE_SY
13949.p Mtuwlun.ORDER_COVER1_SY
13950.p Mtuwlun.SLICEV_EQ_V_SY
13951.p Mtuwlun.SLICEE_EQ_E_SY
13952.p Mtuwlun.SLICEF_EQ_F_SY
13953.p Mtuwlun.ORDER_COVER2_SY
13954.p Mtuwlun.SLICEV_EQ_V2_SY
13955.p Mtuwlun.SLICEE_EQ_E2_SY
13956.p Mtuwlun.SLICEF_EQ_F2_SY
13964.p Tame_general.INEQ_ALT
13966.p Tame_inequalities.lemma'
13967.p Tame_inequalities.lemma4
13968.p Tame_inequalities.lemma5
13969.p Tame_inequalities.main_lemma
13970.p Tame_inequalities.delta_x_pos
13971.p Tame_inequalities.lemma6
13973.p Tame_inequalities.lemma1
13974.p Tame_inequalities.lemma2
13975.p Tame_inequalities.lemma3
13976.p Tame_inequalities.eta_x_ineq_lemma
13977.p Tame_inequalities.ETA_Y_4_POINTS_INEQ
13978.p Tame_inequalities.DELTA_X4_MONO_LT_4
13980.p Tame_inequalities.REAL_LT_SQUARE_POS
13981.p Tame_inequalities.ATN2_ACS_LEMMA
13984.p Tame_inequalities.DIH_X_MONO_LT_4
13985.p Tame_inequalities.DIH_Y_INEQ
13986.p Ckqowsa_3_points.coplanar_eq_coplanar_alt
13987.p Ckqowsa_3_points.in_ball_annulus
13988.p Ckqowsa_3_points.projection_lemma
13990.p Ckqowsa_3_points.non_collinear_lemma
13991.p Ckqowsa_3_points.aff_ge_0_2
13992.p Ckqowsa_3_points.in_aff_ge_0_2
13994.p Ckqowsa_3_points.aff_ge_eq_lemma
13995.p Ckqowsa_3_points.triangle_height_lemma
13996.p Ckqowsa_3_points.in_aff_ge_dist_lemma
13997.p Ckqowsa_3_points.in_aff_ge_dist_lower_bound
13998.p Ckqowsa_3_points.triangle_area_lower_bound
13999.p Ckqowsa_3_points.DIST_LOWER_BOUND_lemma
14000.p Ckqowsa_3_points.aff_ge_trans
14001.p Ckqowsa_3_points.rotation_dist_decrease
14003.p Ckqowsa_3_points.rotation_lemma
14004.p Ckqowsa_3_points.dot_pos_lemma
14005.p Ckqowsa_3_points.dist_decreasing_ivt_lemma
14006.p Ckqowsa_3_points.lemma_3_points
14007.p Ckqowsa_3_points.LEMMA_3_POINTS
14008.p Ckqowsa_3_points.LEMMA_3_POINTS_FINAL
14009.p Ckqowsa_4_points.IN_INTERVAL_1
14010.p Ckqowsa_4_points.DIST_SQR
14011.p Ckqowsa_4_points.estd_non_collinear_lemma
14012.p Ckqowsa_4_points.zero_not_between
14013.p Ckqowsa_4_points.zero_not_between_estd
14014.p Ckqowsa_4_points.VECTOR_PROJECTION
14015.p Ckqowsa_4_points.PROJECTION_0
14016.p Ckqowsa_4_points.PROJECTION_ZERO
14018.p Ckqowsa_4_points.PROJECTION_NEG
14020.p Ckqowsa_4_points.PROJECTION_DIST2
14021.p Ckqowsa_4_points.PROJECTION_SUM_DIST
14022.p Ckqowsa_4_points.PROJECTION_DIST_SPECIAL_EQ
14023.p Ckqowsa_4_points.PROJECTION_DIST_SPECIAL_LE
14025.p Ckqowsa_4_points.in_segment_imp_in_aff_ge_0_2
14026.p Ckqowsa_4_points.points_in_aff_ge_0_2
14027.p Ckqowsa_4_points.aff_ge_0_2_SUBSET
14028.p Ckqowsa_4_points.segment_inter_aff_ge_ends
14029.p Ckqowsa_4_points.in_affine_hull_lemma
14030.p Ckqowsa_4_points.affine_hull_3_plane
14031.p Ckqowsa_4_points.intersection_point_exists
14032.p Ckqowsa_4_points.aux_ineq
14033.p Ckqowsa_4_points.rotation_dist_decrease_lemma
14034.p Ckqowsa_4_points.rotation_dist_decrease_special_case
14035.p Ckqowsa_4_points.continuous_lemma_inc
14036.p Ckqowsa_4_points.continuous_lemma_dec
14037.p Ckqowsa_4_points.rotation_lemma_special
14038.p Ckqowsa_4_points.aff_ge_inter_segments
14039.p Ckqowsa_4_points.rotation_lemma_segments
14040.p Ckqowsa_4_points.rotation_about_axis
14041.p Ckqowsa_4_points.continuous_solution_aux
14042.p Ckqowsa_4_points.continuous_intersection_point
14043.p Ckqowsa_4_points.in_aff_ge_cases_lemma
14044.p Ckqowsa_4_points.segment_intersects_aff_ge_lemma
14045.p Ckqowsa_4_points.continuous_lemma_aff_ge
14046.p Ckqowsa_4_points.separation_plane_4_points
14047.p Ckqowsa_4_points.lemma_4_points_rotation1
14048.p Ckqowsa_4_points.lemma_4_points_rotation1_full
14049.p Ckqowsa_4_points.segment_inter_conv
14050.p Ckqowsa_4_points.lemma_4_points_rotation2
14051.p Ckqowsa_4_points.lemma_4_points_rotation2_full
14052.p Ckqowsa_4_points.lemma_4_points_circumcenter
14053.p Ckqowsa_4_points.PARALLELOGRAM_LAW
14054.p Ckqowsa_4_points.lemma_4_points_contradiction
14055.p Ckqowsa_4_points.LEMMA_4_POINTS_FINAL
14056.p Ckqowsa.packing
14058.p Ckqowsa.ESTD_fan1
14059.p Ckqowsa.ESTD_fan2
14060.p Ckqowsa.ESTD_fan6
14061.p Ckqowsa.fan7_2
14062.p Ckqowsa.fan7_3
14063.p Ckqowsa.fan7_4_0
14064.p Ckqowsa.fan7_4_1_one_case
14065.p Ckqowsa.fan7_4_1_cases
14066.p Ckqowsa.fan7_4_1
14068.p Ckqowsa.ESTD_fan7
14069.p Ckqowsa.CKQOWSA
14071.p Tame_general.UBHDEUU2
14074.p Tame_general.DIFF_LEMMA
14075.p Tame_general.CONTRAVENING_FAN
14076.p Tame_general.CONTRAVENING_IMP_SURROUNDED
14077.p Tame_general.CONTRAVENING_IMP_FULLY_SURROUNDED
14078.p Tame_general.CONTRAVENING_IMP_IN_DART1_OF_FAN
14079.p Tame_general.CONTRAVENING_IMP_DART_FST_NEQ_SND
14080.p Tame_general.CONTRAVENING_DIST
14081.p Tame_general.IN_ESTD
14082.p Tame_general.CONTRAVENING_ESTD_DIST
14083.p Tame_general.CONTRAVENING_DART_DIST
14084.p Tame_general.CONTRAVENING_LMFUN_BOUND
14085.p Tame_general.CONTRAVENING_IMP_AZIM_DART_EQ_AZIM
14086.p Tame_general.CONTRAVENING_IMP_NOT_COPLANAR
14087.p Tame_general.CONTRAVENING_AZIM_DART_EQ_DIH_Y
14088.p Tame_general.CONTRAVENING_IMP_CARD_FACE_GE_3
14089.p Tame_general.NODE_TYPE_lemma
14091.p Tame_general.tauVEF_EQ_taum
14093.p Tame_general.CONTRAVENING_TRIANGULAR_FACE_DIST
14103.p Tame_opposite.tuple_opposite_hypermap
14104.p Tame_opposite.opposite_hypermap_plain
14106.p Tame_opposite.opposite_hypermap_simple
14107.p Tame_opposite.hypermap_eq_lemma
14108.p Tame_opposite.opposite_opposite_hypermap_eq_hypermap
14109.p Tame_opposite.truncated_path_lemma
14110.p Tame_opposite.opposite_path
14111.p Tame_opposite.opposite_path_alt
14113.p Tame_opposite.opposite_hypermap_connected
14114.p Tame_opposite.opposite_nondegenerate
14115.p Tame_opposite.opposite_no_double_joints
14116.p Tame_opposite.plain_hypermap_edge
14117.p Tame_opposite.opposite_no_loops
14118.p Tame_opposite.edge_CARD_dart
14119.p Tame_opposite.edge_CARD
14120.p Tame_opposite.opposite_planar
14121.p Tame_opposite.CARD_faces1
14122.p Tame_opposite.CARD_in_face
14123.p Tame_opposite.CARD_nodes
14124.p Tame_opposite.CARD_in_node
14125.p Tame_opposite.the_SAME_orbit_triangles
14126.p Tame_opposite.the_SAME_orbit_quadrilaterals
14127.p Tame_opposite.the_SAME_orbit_exceptional
14128.p Tame_opposite.the_SAME_orbit_face
14129.p Tame_opposite.the_SAME_type
14130.p Tame_opposite.opposite_tame_12o
14131.p Tame_opposite.opposite_tame_13a
14132.p Tame_opposite.tame_opposite_hypermap
14134.p Fatugpd.UBHDEUU2_quasi
14136.p Fatugpd.sup_property1
14137.p Fatugpd.bdd_num_func_attain_max
14138.p Fatugpd.BIJ_CARD_EQ
14140.p Fatugpd.epsilon_lemma
14141.p Fatugpd.norm_normalize
14142.p Fatugpd.normalize_vec_0
14143.p Fatugpd.norm_mul_normalize
14145.p Fatugpd.fourier
14146.p Fatugpd.norm_lemma1
14147.p Fatugpd.coordinates_lemma
14148.p Fatugpd.dot_coordinates
14149.p Fatugpd.dot_coordinates_2
14150.p Fatugpd.norm_lemma2
14151.p Fatugpd.dot_gt_0
14152.p Fatugpd.dot_eq_0
14153.p Fatugpd.azim_ge_azim_dart
14155.p Fatugpd.lemma2
14156.p Fatugpd.lemma3
14157.p Fatugpd.lemma4
14158.p Fatugpd.lemma5
14159.p Fatugpd.lemma6
14160.p Fatugpd.lemma7
14161.p Fatugpd.lemma8
14163.p PI2_BOUNDS_conjunct0
14165.p Crttxat_tame.ORBIT_MAP_PAIR_SUM_lemma
14166.p Crttxat_tame.FACE_SUM_lemma
14167.p Crttxat_tame.CRTTXAT_lemma1
14168.p Crttxat_tame.CRTTXAT_lemma2
14169.p Crttxat_tame.CRTTXAT_lemma1'
14170.p Crttxat_tame.SUM_RMUL_BOUND
14172.p Hrxefdm_tame.tauVEF_alt1
14173.p Hrxefdm_tame.tauVEF_alt2
14174.p Hrxefdm_tame.CHOICE_CONST_LEMMA
14175.p Hrxefdm_tame.scriptL_lemma
14176.p Hrxefdm_tame.HRXEFDM_lemma1