proposition: Proposition comp_struct_cospan_mor_laws : struct_cospan_laws L v₁ v₃ (comp_struct_cospan h₁ h₂) (comp_struct_cospan k₁ k₂) mor_of_comp_struct_cospan_mor.
proof: Proof. split ; cbn. - unfold mor_of_comp_struct_cospan_mor. rewrite !assoc'. rewrite PushoutArrow_PushoutIn1. rewrite !assoc. apply maponpaths_2. apply struct_cospan_sqr_mor_left. - unfold mor_of_comp_struct_cospan_mor. rewrite !assoc'. rewrite PushoutArrow_PushoutIn2. rewrite !assoc. apply maponpaths_2. apply struct_cospan_sqr_mor_right. 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