proposition: Proposition enriched_weighted_to_conical_is_conical_lim_is_wedge : is_wedge (weighted_hom E D W w) enriched_weighted_to_conical_is_conical_lim_wedge_data.
proof: Proof. intros i j f ; cbn. use internal_funext. intros z h. rewrite !tensor_comp_r_id_r. rewrite !assoc'. unfold internal_pre_post_comp. rewrite !internal_beta. rewrite functor_id. rewrite postcomp_arr_id. rewrite id_right. rewrite !tensor_id_id. rewrite !id_left. rewrite tensor_split. rewrite !assoc'. rewrite (maponpaths (λ z, _ · z) (assoc _ _ _)). rewrite internal_beta. refine (!_). rewrite tensor_split. rewrite !assoc'. rewrite (maponpaths (λ z, _ · z) (assoc _ _ _)). rewrite internal_beta. rewrite !assoc'. do 2 apply maponpaths. refine (!_). apply ps. 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