proposition: Proposition equalizer_from_pb_prod_map_eq : h · f · Δ = h · φ.
proof: Proof. unfold Δ, diagonalMap', φ. use BinProductArrowsEq. - rewrite !assoc'. rewrite !BinProductPr1Commutes. rewrite id_right. apply idpath. - rewrite !assoc'. rewrite !BinProductPr2Commutes. rewrite id_right. exact p. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Pullbacks