Definition tensorfunctor_id {C : category} (T : tensor_data C) : UU := ∏ (x y : C), (identity x) ⊗^{T} identity y = identity (x ⊗_{T} y).
Require Import UniMath.Foundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos.