proposition: Lemma nat_algs_eq : nat_alg_z = nat_alg'.
proof: Proof. reflexivity. Defined.
imports: UniMath.Foundations.Preamble UniMath.Foundations.PartA UniMath.Foundations.PartD UniMath.Foundations.UnivalenceAxiom UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.Type.Core UniMath.Induction.FunctorAlgebras_legacy UniMath.Induction.PolynomialFunctors UniMath.Induction.W.Core UniMath.Induction.W.Fibered