proposition: Lemma isaprop_is_weak_equiv {C D : category} (H : functor C D) : isaprop (is_weak_equiv H).
proof: Proof. apply isapropdirprod. - apply isaprop_essentially_surjective. - apply isaprop_fully_faithful. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Preservation UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.catiso UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.PrecompEquivalence