proposition: Lemma fully_faithful_reflects_iso_proof (C D : precategory)(F : functor C D) (FF : fully_faithful F) (a b : ob C) (f : z_iso (F a) (F b)) : is_z_isomorphism (FF^-1 f).
proof: Proof. exists (FF^-1 (inv_from_z_iso f)). apply inv_of_ff_inv_is_inv. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence