fact: Definition monoid_ob : UU := ∑ X : monoid_ob_data, is_monoid_ob (pr1 X) (pr1 (pr2 X)) (pr2 (pr2 X)).
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored