fact: Definition equiv_O_pushout : O (Pushout f g) <~> O (Pushout (O_functor f) (O_functor g)) := Build_Equiv _ _ _ (O_inverts_functor_pushout (to O A) (to O B) (to O C) (fun x => (to_O_natural f x)^) (fun x => (to_O_natural g x)^)).
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout