Definition leftunitor_data {C : category} (T : tensor_data C) (I : C) : UU := ∏ (x : C), C ⟦I ⊗_{T} x, x⟧.
Require Import UniMath.Foundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos.