fact: Definition monoid_precategory_data : precategory_data := make_precategory_data monoid_precategory_ob_mor (λ (X : monoid), ((idmonoidiso X) : monoidfun X X)) (fun (X Y Z : monoid) (f : monoidfun X Y) (g : monoidfun Y Z) => monoidfuncomp f g).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.UnivalenceAxiom UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids UniMath.Algebra.Free_Monoids_and_Groups UniMath.Combinatorics.Lists UniMath.Algebra.IteratedBinaryOperations UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Adjunctions.Core