Proposition isaset_double_cat_runitor {C : category} {D : twosided_disp_cat C C} (I : hor_id D) (Cm : hor_comp D) : isaset (double_cat_runitor I Cm). Proof. use isaset_total2. - apply isaset_double_runitor_data. - intro. apply isasetaprop. apply isaprop_double_runitor_laws. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos.