fact: Definition is_univalent_sigma_of_twosided_disp_cat_help (HD₂ : is_univalent_disp D₂) {x₁ : C₁} {y₁ : C₂} (xy₁ xy₂ : sigma_twosided_disp_cat x₁ y₁) (p : pr1 xy₁ = pr1 xy₂) : (transportf (λ z, D₂ (x₁ ,, y₁ ,, z)) p (pr2 xy₁) = pr2 xy₂) ≃ z_iso_disp (@make_z_iso_total_twosided_disp_cat _ _ D₁ _ _ _ _ _ _ _ _ (idtoiso_twosided_disp (idpath _) (idpath _) p)) (pr2 xy₁) (pr2 xy₂).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Projection UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete UniMath.CategoryTheory.TwoSidedDisplayedCats.Total