fact: Definition faithful_moncat (V : monoidal_cat) : UU := ∏ (x y : V) (f g : x --> y), (∏ (a : I_{V} --> x), a · f = a · g) → f = g.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.covyoneda UniMath.CategoryTheory.Categories.HSET.All UniMath.CategoryTheory.Monoidal.Categories