fact: Definition strictify_counit_is_pstrans_help₃ (F₁ F₂ F₃ : psfunctor B₁ B₂) (α : pstrans F₁ F₂) (β : pstrans F₂ F₃) (X : B₁) : (id₁ (F₁ X) ◃ id₂ ((pr111 α) X · (pr111 β) X)) • (lunitor ((pr111 α) X · (pr111 β) X) • rinvunitor ((pr111 α) X · (pr111 β) X)) = ((((lassociator (id₁ (F₁ X)) ((pr111 α) X) ((pr111 β) X) • ((lunitor ((pr111 α) X) • rinvunitor ((pr111 α) X)) ▹ (pr111 β) X)) • rassociator ((pr111 (# (comp_psfunctor (strict_psfunctor_to_psfunctor B₁ B₂) strictify) α)) X) (id₁ (F₂ X)) ((pr111 β) X)) • ((pr111 (# (comp_psfunctor (strict_psfunctor_to_psfunctor B₁ B₂) strictify) α)) X ◃ (lunitor ((pr111 β) X) • rinvunitor ((pr111 β) X)))) • lassociator ((pr111 (# (comp_psfunctor (strict_psfunctor_to_psfunctor B₁ B₂) strictify) α)) X) ((pr111 (# (comp_psfunctor (strict_psfunctor_to_psfunctor B₁ B₂) strictify) β)) X) (id₁ (F₃ X))) • ((pr111 ((pr222 (pr1 (comp_psfunctor (strict_psfunctor_to_psfunctor B₁ B₂) strictify))) F₁ F₂ F₃ α β)) X ▹ id₁ (F₃ X)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Core UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Univalence UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.PseudoFunctors.Display.StrictPseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.Display.Base UniMath.Bicategories.PseudoFunctors.Display.Map1Cells UniMath.Bicategories.PseudoFunctors.Display.Map2Cells UniMath.Bicategories.PseudoFunctors.Display.StrictIdentitor UniMath.Bicategories.PseudoFunctors.Display.StrictCompositor UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.StrictPseudoFunctor UniMath.Bicategories.Transformations.PseudoTransformation UniMath.Bicategories.Modifications.Modification UniMath.Bicategories.PseudoFunctors.Examples.StrictToPseudo UniMath.Bicategories.PseudoFunctors.Examples.Identity UniMath.Bicategories.PseudoFunctors.Examples.Composition