Definition transportb_disp_ob2_inv {C₁ C₂ : category} {D : twosided_disp_cat C₁ C₂} {x x' : C₁} (p : x = x') {y y' : C₂} (q : y = y') (xy : D x' y') : xy -->[ idtoiso (!p) ][ idtoiso (!q) ] transportb_disp_ob2 p q xy. Proof. refine (idtoiso_twosided_disp _ _ _). apply transportb_disp_ob2_inv_path. Defined.
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.