Definition make_is_strict_bicat {B : bicat} (HB : locally_strict B) (S : strictness_structure B) : is_strict_bicat B. Proof. use tpair. - exact HB. - repeat use tpair. + exact (@plunitor _ S). + exact (@prunitor _ S). + exact (@plassociator _ S). + exact (@idtoiso_plunitor _ S). + exact (@idtoiso_prunitor _ S). + exact (@idtoiso_plassociator _ S). + abstract (simpl ; intros ; apply HB). + abstract (simpl ; intros ; apply HB). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.TwoCategories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Categories.HSET.All. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.TransportLaws.