proposition: Proposition eq_to_enriched_rezk_completion_ump_functor_mor (g : enriched_rezk_completion_ump_functor_ob x₁ --> enriched_rezk_completion_ump_functor_ob x₂) (p : ∏ (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 · g = #G h · enriched_rezk_completion_ump_functor_iso x₂ i₂) : enriched_rezk_completion_ump_functor_mor = g.
proof: Proof. exact (!(maponpaths pr1 (pr2 enriched_rezk_completion_ump_functor_mor_iscontr (g ,, p)))). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation UniMath.CategoryTheory.EnrichedCats.FullyFaithful UniMath.CategoryTheory.EnrichedCats.Examples.FunctorCategory UniMath.CategoryTheory.EnrichedCats.Examples.Precomposition UniMath.CategoryTheory.Monoidal.Categories