proposition: Proposition twosided_disp_cat_of_struct_cospans_functor_laws : twosided_disp_functor_laws FA FA (twosided_disp_cat_of_struct_cospans L₁) (twosided_disp_cat_of_struct_cospans L₂) twosided_disp_cat_of_struct_cospans_functor_data.
proof: Proof. split. - intros x y f. use struct_cospan_sqr_eq. rewrite transportb_disp_mor2_struct_cospan ; cbn. apply functor_id. - intro ; intros. use struct_cospan_sqr_eq. rewrite transportb_disp_mor2_struct_cospan ; cbn. apply functor_comp. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.Limits.Pushouts UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Total UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.CategoryTheory.TwoSidedDisplayedCats.Examples.Constant UniMath.CategoryTheory.TwoSidedDisplayedCats.Examples.DispCatOnTwoSidedDispCat