proposition: Lemma univ_arrow_mor_assoc {C:category} {a b:C} {Z:[C^op,HSET]} (f : a --> b) (z : b ⇒ Z) (t : Representation Z) : (t \\ z) ∘ f = t \\ (z ⟲ f).
proof: Proof. apply universalMapUniqueness. unshelve refine (arrow_mor_mor_assoc _ _ _ @ _). apply maponpaths. apply universalMapProperty. Qed.
imports: UniMath.Foundations.Preamble UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.RepresentableFunctors.Bifunctor UniMath.CategoryTheory.RepresentableFunctors.Precategories UniMath.MoreFoundations.Tactics