Definition functor_assunitors_from_layer (C D : bicat_of_univ_cats) (F : bicat_of_univ_cats⟦C,D⟧) (tuuaC : disp_tensor_unit_unitors_associator C) (tuuaD : disp_tensor_unit_unitors_associator D) : tuuaC -->[F] tuuaD -> functor_tensor_unit_unitors_associator F (assunitors_from_layer C tuuaC) (assunitors_from_layer D tuuaD). Proof. intro ptuua. split with (pr1 ptuua). repeat split. - apply (pr112 ptuua). - apply (pr212 ptuua). - apply (pr22 ptuua). Defined.
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.