fact: Definition enriched_precat_data : UU := ∑ C : UU, ∑ mor : C -> C -> ob Mon_V, dirprod (∏ x : C, I --> mor x x) (∏ x y z : C, mor y z ⊗ mor x y --> mor x z).
imports: UniMath.Foundations.PartA UniMath.Foundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Core.Isos