fact: Definition is_prod_enriched (a : enriched_prod_cone) : UU := ∏ (w : C), isProduct J V (λ j, E ⦃ w , D j ⦄) (E ⦃ w , a ⦄) (λ j, postcomp_arr E w (enriched_prod_cone_pr a j)).
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