proposition: Proposition comp_span_mor_laws : span_laws v₁ v₃ (comp_span h₁ h₂) (comp_span k₁ k₂) mor_of_comp_span_mor.
proof: Proof. split ; cbn. - unfold mor_of_comp_span_mor. rewrite !assoc. rewrite PullbackArrow_PullbackPr1. rewrite !assoc'. apply maponpaths. apply span_sqr_mor_left. - unfold mor_of_comp_span_mor. rewrite !assoc. rewrite PullbackArrow_PullbackPr2. rewrite !assoc'. apply maponpaths. apply span_sqr_mor_right. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat 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