proposition: Lemma EffectiveEpis_Functor_HSET : EpisAreEffective C_SET.
proof: Proof. intros F G m isepim. apply (isEffectivePw (D:=hset_category)). intro x. apply EffectiveEpis_HSET. apply (Pushouts_pw_epi (D:=hset_category) PushoutsHSET_from_Colims). assumption. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.Categories.HSET.Colimits UniMath.CategoryTheory.Categories.HSET.Structures UniMath.CategoryTheory.Epis UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.EpiFacts UniMath.CategoryTheory.Limits.Coequalizers