Lemma Hom1_Representation {C:category} (c:C) : Representation (Hom1 c). Proof. exists c. exists (identity c). intro b. apply (isweqhomot (idweq _)). - abstract (intro f; unfold arrow_morphism_composition; unfold Hom1; simpl; apply pathsinv0, id_right) using _R_. - abstract (apply weqproperty) using _T_. Defined.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import Require Import Require Import UniMath.MoreFoundations.Tactics.