proposition: Lemma pregroupoid_hom_weq_iso_comp {pgpd : pregroupoid} {a b c : ob pgpd} (f : a --> b) (g : b --> c) : z_iso_comp (pregroupoid_hom_weq_iso _ _ f) (pregroupoid_hom_weq_iso _ _ g) = (pregroupoid_hom_weq_iso _ _ (f · g)).
proof: Proof. apply z_iso_eq; reflexivity. Defined.
imports: UniMath.Foundations.PartA UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.opp_precat