fact: Definition isrigfunisaddmonoidfun {X Y : rig} {f : X -> Y} (H : isrigfun f) : @ismonoidfun (rigaddabmonoid X) (rigaddabmonoid Y) f := dirprod_pr1 H.
imports: UniMath.Algebra.Groups UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.Algebra.Monoids