proposition: Proposition transportb_disp_cat_of_strict_twosided_disp_cat_ob_help {C₁ C₂ : category} (D₁ : twosided_disp_cat C₁ C₁) (D₂ : twosided_disp_cat C₂ C₂) {F G : C₁ ⟶ C₂} (p : F = G) (GG : twosided_disp_functor G G D₁ D₂) {x y : C₁} (xy : D₁ x y) : (transportb (λ H, twosided_disp_functor H H D₁ D₂) p GG) x y xy = transportb_disp_ob2 (path_functor_ob p _) (path_functor_ob p _) (GG x y xy).
proof: Proof. induction p ; cbn. apply idpath. Defined.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Categories.CategoryOfSetCategories UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.DisplayedCatEq UniMath.CategoryTheory.DisplayedCats.Examples.DispFunctorPair UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedNatTrans UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.CategoryTheory.TwoSidedDisplayedCats.TransportLaws