fact: Definition conservative_moncat (V : monoidal_cat) : UU := ∏ (x y : V) (f : x --> y), isweq (λ (a : I_{V} --> x), a · f) → is_z_isomorphism f.
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