proposition: Lemma functorlifting_preserves_tensor_nat_right {spt : fl_preserves_tensor_data} (sptnl : fl_preserves_tensor_nat_right spt) : preserves_tensor_nat_right (functorlifting_preserves_tensordata spt).
proof: Proof. intros x1 x2 y f. use total2_paths_b. - exact (fmonoidal_preservestensornatright Fm x1 x2 y f). - exact (sptnl x1 x2 y f). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Displayed.WhiskeredDisplayedBifunctors UniMath.CategoryTheory.Monoidal.Displayed.Monoidal UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Monoidal.Displayed.TotalMonoidal UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Constructions