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smimram committed Sep 27, 2024
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Expand Up @@ -75,6 +75,9 @@ coh ap-I (a : .) (x : a) : ap a a (I a) x = x

coh ap-comp (a b c : .) (f : a -> b) (g : b -> c) (x : a) : ap a c (comp a b c f g) x = ap b c g (ap a b f x)

# I is derivable
# coh SKK (a : .) : ap _ _ (ap _ _ (S _ _ _) (K _ _)) (K _ _) = I a

## Church numerals with pi-types

let zero (a : .) (f : a -> a) (x : a) := x
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