Lemma disp_tensor_unit_unitors_associator_disp_locally_groupoid : disp_locally_groupoid disp_tensor_unit_unitors_associator. Proof. intros C D F G α tuuaC tuuaD ptuuaC ptuuaD ptuuac. repeat (use tpair) ; try (exact tt). - apply bidisp_tensor_disp_locally_groupoid. apply ptuuac. - apply bidisp_unit_disp_locally_groupoid. apply ptuuac. - apply disp_tensor_unit_unitors_associator_disp_2cells_isaprop. - apply disp_tensor_unit_unitors_associator_disp_2cells_isaprop. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.Bicategories.Core.Bicat. Require Import UniMath.Bicategories.Core.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Require Import UniMath.Bicategories.DisplayedBicats.Examples.Prod. Require Import UniMath.Bicategories.DisplayedBicats.Examples.Sigma. Require Import  UniMath.Bicategories.DisplayedBicats.Examples.DisplayedCatToBicat. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.MonoidalCategories.UnivalenceMonCat.CurriedMonoidalCategories. Require Import UniMath.Bicategories.MonoidalCategories.UnivalenceMonCat.TensorLayer. Require Import UniMath.Bicategories.MonoidalCategories.UnivalenceMonCat.UnitLayer. Require Import UniMath.Bicategories.MonoidalCategories.UnivalenceMonCat.TensorUnitLayer.