proposition: Lemma distributer {C : univalent_category} {TC TD : tensor C} (p : tensor_eqi''' TC TD) : id_tensor_eqi'''_1 TC TD (tensor_eqi'''_to_eq TC TD p) = id_tensor_eqi'''_2 TC TD (tensor_eqi'''_to_eq1 TC TD p).
proof: Proof. unfold id_tensor_eqi'''_1. apply maponpaths. etrans. { apply maponpaths. apply base_total2_paths. } apply base_total2_paths. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.Core.Univalence UniMath.Bicategories.MonoidalCategories.UnivalenceMonCat.CurriedMonoidalCategories