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