proposition: Proposition idtoisotoid_twosided_disp {C₁ C₂ : category} {D : twosided_disp_cat C₁ C₂} (HD : is_univalent_twosided_disp_cat D) {x₁ x₂ : C₁} {y₁ y₂ : C₂} (p : x₁ = x₂) (q : y₁ = y₂) {xy₁ : D x₁ y₁} {xy₂ : D x₂ y₂} (r : transportf (λ z, D z _) p (transportf (λ z, D _ z) q xy₁) = xy₂) : isotoid_twosided_disp HD p q (idtoiso_twosided_disp p q r) = r.
proof: Proof. apply homotinvweqweq. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos