fact: Definition functor_tensor_unit_to_preserves_unit {C D : category} {tuC : tensor_unit C} {tuD : tensor_unit D} {F : functor C D} (ptu : functor_tensor_unit tuC tuD F) : preserves_unit tuC tuD F := pr2 ptu.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos