proposition: Proposition weighted_hom_is_functor (w : C) : is_functor (weighted_hom_data w).
proof: Proof. split. - intro i ; cbn. rewrite !functor_id. rewrite postcomp_arr_id. rewrite internal_pre_post_comp_id. apply idpath. - intros i j k f g ; cbn. rewrite !functor_comp. rewrite !postcomp_arr_comp. rewrite internal_pre_post_comp_comp. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.OppositeCategory.Core UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Limits.Ends UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric UniMath.CategoryTheory.Monoidal.Structure.Closed UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.Examples.SelfEnriched UniMath.CategoryTheory.EnrichedCats.Limits.EnrichedConicalLimits UniMath.CategoryTheory.EnrichedCats.Limits.EnrichedPowers