Proposition isaprop_hor_comp_laws {C : category} {D : twosided_disp_cat C C} (Cm : hor_comp_data D) : isaprop (hor_comp_laws Cm). Proof. use isapropdirprod ; (repeat (use impred ; intro)) ; apply isaset_disp_mor. 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.