Proposition idtoiso_twosided_disp_concat_disp_path_idpath {C₁ C₂ : setcategory} {D : strict_twosided_disp_cat C₁ C₂} {x : C₁} {y : C₂} (xy : D x y) : idtoiso_twosided_disp_concat_disp_path (rx := idpath x) (rx' := idpath x) (ry := idpath y) (ry' := idpath y) (idpath xy) (idpath xy) = idpath xy. Proof. apply is_strict_strict_twosided_disp_cat. Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness.