Proposition id_preserves_parameterized_NNO {C : category} (T : Terminal C) (BC : BinProducts C) (N : parameterized_NNO T BC) : preserves_parameterized_NNO N N (functor_identity C) (identity_preserves_terminal _). Proof. use is_z_isomorphism_path. - apply identity. - apply id_preserves_parameterized_NNO_eq. - apply is_z_isomorphism_identity. 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.