fact: Definition to_O_natural_compose {A B C : Type} (f : A -> B) (g : B -> C) (a : A) : ap (O_functor g) (to_O_natural f a) @ to_O_natural g (f a) = (O_functor_compose f g (to O A a))^ @ to_O_natural (g o f) a.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout