fact: Definition strictify_unit_data_help3 (F : strict_psfunctor B₁ B₂) (X Y Z : B₁) (f : X --> Y) (g : Y --> Z) : ((id₁ ((pr111 F) X) ◃ psfunctor_comp (strict_psfunctor_to_psfunctor_map B₁ B₂ F) f g) • lunitor (# F (f · g))) • rinvunitor (# F (f · g)) = (lassociator (id₁ ((pr111 F) X)) (# F f) (# F g)) • ((lunitor (# F f) • rinvunitor (# F f)) ▹ # F g) • rassociator (#F f) (id₁ (F Y)) (# F g) • (# F f ◃ (lunitor (# F g) • rinvunitor (# F g))) • lassociator (#F f) (#F g) (id₁ ((pr111 F) Z)) • (idtoiso_2_1 ((pr222 (pr1 F)) X Y Z f g) ▹ id₁ ((pr111 F) Z)).
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