Definition functor_on_fully_faithful_inv_hom {C₁ C₂ : category} (F : C₁ ⟶ C₂) (HF : fully_faithful F) {x y : C₁} (f : F x --> F y) : #F (fully_faithful_inv_hom HF x y f) = f.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Univalence.