fact: Definition arrow_morphism_composition {C:category} {c' c:C} {X:[C^op,HSET]} : c'-->c -> c⇒X -> c'⇒X := λ f x, # (X:_⟶_) f x.
imports: UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.Foundations.Preamble UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics