fact: Definition O_functor_homotopy_V {A B : Type} (f g : A -> B) (pi : f == g) : O_functor_homotopy g f (fun x => (pi x)^) == fun x => (O_functor_homotopy f g pi x)^.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout