proposition: Lemma catiso_is_globally_prop' (x : C) : ∏ d1 d2 : D x, x ,, d1 = x ,, d2.
proof: Proof. intros d1 d2. set (g := isinclweq _ _ _ (pr2 (invweq W)) x). set (h := g ((x ,, d1) ,, idpath _) ((x ,, d2) ,, idpath _)). exact (base_paths _ _ (pr1 h)). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.catiso UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Univalence