proposition: Lemma inv_from_z_iso_z_iso_from_Pushout (a b c : C) (f : a --> b) (g : a --> c) (Pb : Pushout f g) (Pb' : Pushout f g): inv_from_z_iso (z_iso_from_Pushout_to_Pushout Pb Pb') = from_Pushout_to_Pushout Pb' Pb.
proof: Proof. apply pathsinv0. apply inv_z_iso_unique'. set (T:= are_inverses_from_Pushout_to_Pushout Pb' Pb). apply (pr1 T). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Core.Functors