proposition: Lemma compositions_preserves_tensor_data {C D E : category} {TC : tensor C} {TD : tensor D} {TE : tensor E} {F : functor C D} {G : functor D E} (ptF : preserves_tensor_data TC TD F) (ptG : preserves_tensor_data TD TE G) : preserves_tensor_data TC TE (functor_composite F G).
proof: Proof. intros x y. exact ((ptG (F x) (F y)) · (functor_on_morphisms G) (ptF x y)). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos