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smimram committed Feb 7, 2025
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Expand Up @@ -34,7 +34,7 @@ coh unitr {a b : .} (f : a -> b) : comp f id = f
# Functoriality
coh dist {a a' a'' b b' b'' : .} (f : a -> a') (g : b -> b') (h : a' -> a'') (k : b' -> b'') : comp (prod f g) (prod h k) = prod (comp f h) (comp g k)
coh prod-id {a b : .} : prod id id ={a * b -> a * b} id
# coh exp-comp {a b c : .} (f : a -> b) (g : b -> c) : exp (id {a}) (comp f g) = comp (exp id f) (exp id g)
coh exp-comp {a b c d : .} (f : a -> b) (g : b -> c) : exp (id {d}) (comp f g) = comp (exp id f) (exp id g)
coh exp-id {a b : .} : exp id id ={(a -> b) -> (a -> b)} id

# Naturality
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