trans
trans
x
y
z
trans
x
trans
y
z
trans
refl
x
x
trans
x
refl
x
congror1
refl
refl
congror2
refl
refl
trans
congror1
x
ortrue2
ortrue2
trans
congror2
x
ortrue1
ortrue1
trans
congror2
x
orfalse1
trans
orfalse1
x
trans
congror1
x
orfalse2
trans
orfalse2
x
trans
trans
congror1
x
congror2
y
trans
congror1
z
congror2
w
trans
congror1
trans
x
z
congror2
trans
y
w
trans
ortrue1
x
ortrue1
trans
ortrue2
x
ortrue2
trans
2
refl
0
congror1
1
congror2
1
ortrue2
0
ortrue1
0
orfalse1
0
orfalse2
0
FULL
slothrop_equiv_proofs_or.trs