fact: Definition make_is_prod_enriched (a : enriched_prod_cone) (pair : ∏ (w : C) (v : V) (f : ∏ (j : J), v --> E ⦃ w , D j ⦄), v --> E ⦃ w , a ⦄) (pair_pr : ∏ (w : C) (v : V) (f : ∏ (j : J), v --> E ⦃ w , D j ⦄) (j : J), pair w v f · postcomp_arr E w (enriched_prod_cone_pr a j) = f j) (pair_eq : ∏ (w : C) (v : V) (φ₁ φ₂ : v --> E ⦃ w , a ⦄) (q : ∏ (j : J), φ₁ · postcomp_arr E w (enriched_prod_cone_pr a j) = φ₂ · postcomp_arr E w (enriched_prod_cone_pr a j)), φ₁ = φ₂) : is_prod_enriched a.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.Limits.Products