proposition: Lemma Forgetful_ptset_to_set_preserves_tensor_strictly : preserves_tensor_strictly (projection_preserves_tensordata BO_cart_disp_monoidal).
proof: Proof. apply projection_preservestensor_strictly. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Algebra.BinaryOperations UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Monoidal.Displayed.WhiskeredDisplayedBifunctors UniMath.CategoryTheory.Monoidal.Displayed.Monoidal UniMath.CategoryTheory.Monoidal.Displayed.TotalMonoidal UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Binproducts UniMath.CategoryTheory.Categories.HSET.All UniMath.CategoryTheory.Monoidal.Examples.CartesianMonoidal UniMath.CategoryTheory.Monoidal.Examples.DisplayedCartesianMonoidal