fact: Definition sigma_twosided_disp_cat_mor_eq {x₁ x₂ : C₁} {y₁ y₂ : C₂} {f : x₁ --> x₂} {g : y₁ --> y₂} {xy₁ : sigma_twosided_disp_cat_data x₁ y₁} {xy₂ : sigma_twosided_disp_cat_data x₂ y₂} (fg₁ : xy₁ -->[ f ][ g ] xy₂) (fg₂ : xy₁ -->[ f ][ g ] xy₂) (p : pr1 fg₁ = pr1 fg₂) (q : transportf (λ z, pr2 xy₁ -->[ z ] pr2 xy₂) (maponpaths (λ z, f ,, g ,, z) p) (pr2 fg₁) = pr2 fg₂) : fg₁ = fg₂.
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