fact: Definition is_z_iso_in_subcategory_of_monics_weq (a b : subcategory_of_monics) (f : a --> b) : (is_z_isomorphism (pr1 f)) ≃ (is_z_isomorphism f).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Core.Functors