Definition strictify_unit_data_help2 (F : strict_psfunctor B₁ B₂) (X : B₁) : (id₁ (F X) ◃ psfunctor_id (strict_psfunctor_to_psfunctor_map B₁ B₂ F) X) • lunitor (# F (id₁ X)) • rinvunitor (# F (id₁ X)) = (runitor (id₁ (F X)) • linvunitor (id₁ (F X))) • (idtoiso_2_1 (strict_psfunctor_id F X) ▹ id₁ (F X)).
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.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Require Import UniMath.Bicategories.PseudoFunctors.Display.StrictPseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.Display.Base. Require Import UniMath.Bicategories.PseudoFunctors.Display.Map1Cells. Require Import UniMath.Bicategories.PseudoFunctors.Display.Map2Cells. Require Import UniMath.Bicategories.PseudoFunctors.Display.StrictIdentitor. Require Import UniMath.Bicategories.PseudoFunctors.Display.StrictCompositor. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Require Import UniMath.Bicategories.PseudoFunctors.StrictPseudoFunctor. Import PseudoFunctor.Notations. Import StrictPseudoFunctor.Notations. Require Import UniMath.Bicategories.Transformations.PseudoTransformation. Require Import UniMath.Bicategories.Modifications.Modification. Require Import UniMath.Bicategories.PseudoFunctors.Examples.StrictToPseudo. Require Import UniMath.Bicategories.PseudoFunctors.Examples.Identity. Require Import UniMath.Bicategories.PseudoFunctors.Examples.Composition.