fact: Definition O_functor_faithful_inO {A B : Type} `{In O A} `{In O B} (f g : A -> B) (e : O_functor f == O_functor g) : f == g.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout