Problem: f (\x. F x) -> F a g a -> f (\x. i x) i X -> h (g X) Proof: Higher-Order Church Rosser Processor: f (\x. F x) -> F a g a -> f (\x. i x) i X -> h (g X) critical peaks: 0 Higher-Order Closedness Processor: all critical pairs are trivial Qed