Definition parameterized_NNO_prod_independent {C : univalent_category} {T : Terminal C} {BC₁ : BinProducts C} (BC₂ : BinProducts C) (N : parameterized_NNO T BC₁) : parameterized_NNO T BC₂. Proof. use make_parameterized_NNO. - exact N. - exact (parameterized_NNO_Z N). - exact (parameterized_NNO_S N). - apply is_parameterized_NNO_prod_independent. Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Preservation. Require Import UniMath.CategoryTheory.Arithmetic.NNO.