proposition: Lemma inv_from_iso_iso_from_Pullback {a b : C} {f g : C⟦a , b⟧} (E1 E2 : Equalizer f g): inv_from_iso (iso_from_Equalizer_to_Equalizer E1 E2) = from_Equalizer_to_Equalizer E2 E1.
proof: Proof. apply pathsinv0. apply inv_iso_unique'. apply (pr1 (are_inverses_from_Equalizer_to_Equalizer E2 E1)). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.Combinatorics.StandardFiniteSets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Equalizers