fact: Definition preserves_tensor_data {C D : category} (TC : tensor_data C) (TD : tensor_data D) (F : functor C D) : UU := ∏ (x y : C), D ⟦ F x ⊗_{TD} F y, F (x ⊗_{TC} y) ⟧.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos