fact: Definition unit_preserving_data : UU := D ⟦ I_{N} , F I_{M} ⟧.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesCurried