fact: Definition preserves_tensordata {C D : category} (M : monoidal C) (N : monoidal D) (F : functor C D) : UU := ∏ (x y : C), D ⟦ F x ⊗_{ N} F y, F (x ⊗_{ M} y) ⟧.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric