proposition: Proposition is_iso_twosided_disp_struct_cospan_sqr_inv_laws : struct_cospan_laws (identity a) (identity b) s₂ s₁ (inv_from_z_iso i).
proof: Proof. split. - rewrite functor_id, id_left. refine (!_). use z_iso_inv_on_left. refine (_ @ !(struct_cospan_sqr_mor_left sq)). rewrite functor_id, id_left. apply idpath. - rewrite functor_id, id_left. refine (!_). use z_iso_inv_on_left. refine (_ @ !(struct_cospan_sqr_mor_right sq)). rewrite functor_id, id_left. apply idpath. 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