fact: Definition monoidmonotobinopmono (X Y : monoid) : monoidmono X Y -> binopmono X Y := λ f, make_binopmono (pr1 f) (pr1 (pr2 f)).
imports: UniMath.Algebra.BinaryOperations UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders