Proposition enriched_rezk_completion_ump_functor_mor_eq {w₁ w₂ : C₁} (h : w₁ --> w₂) (i₁ : z_iso (F w₁) x₁) (i₂ : z_iso (F w₂) x₂) (p : #F h · i₂ = i₁ · f) : enriched_rezk_completion_ump_functor_iso x₁ i₁ · enriched_rezk_completion_ump_functor_mor = #G h · enriched_rezk_completion_ump_functor_iso x₂ i₂. Proof. exact (pr21 enriched_rezk_completion_ump_functor_mor_iscontr w₁ w₂ h i₁ i₂ p). Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation. Require Import UniMath.CategoryTheory.EnrichedCats.FullyFaithful. Require Import UniMath.CategoryTheory.EnrichedCats.Examples.FunctorCategory. Require Import UniMath.CategoryTheory.EnrichedCats.Examples.Precomposition. Require Import UniMath.CategoryTheory.Monoidal.Categories.