Proposition eq_to_enriched_rezk_completion_ump_full_nat_trans_data (f : G₁ x --> G₂ x) (p : ∏ (w : C₁) (i : z_iso (F w) x), τ w · #G₂ i = #G₁ i · f) : enriched_rezk_completion_ump_full_nat_trans_data = f. Proof. exact (!(maponpaths pr1 (pr2 enriched_rezk_completion_ump_full_iscontr (f ,, p)))). Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. 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.