fact: Definition is_disp_modification (mm : disp_modification_data) : UU := ∏ (x y : B₁) (f : B₁ ⟦ x, y ⟧) (xx : D₁ x) (yy : D₁ y) (ff : xx -->[ f] yy), disp_psnaturality_of FF₁ FF₂ α αα ff •• (disp_psfunctor_mor D₁ D₂ F₁ FF₁ ff ◃◃ mm y yy) = transportb (λ p, _ ==>[p] _) (modnaturality_of m x y f) ((mm x xx ▹▹ disp_psfunctor_mor D₁ D₂ F₂ FF₂ ff) •• disp_psnaturality_of FF₁ FF₂ β ββ ff).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.Initial UniMath.Bicategories.Core.Examples.Final UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.DispAdjunctions UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Examples.Identity UniMath.Bicategories.PseudoFunctors.Examples.Composition UniMath.Bicategories.Transformations.PseudoTransformation UniMath.Bicategories.Modifications.Modification UniMath.Bicategories.DisplayedBicats.DispPseudofunctor UniMath.Bicategories.DisplayedBicats.DispTransformation