Definition ismonoidfuntoabmonoidfrac (X : abmonoid) (A : submonoid X) : ismonoidfun (toabmonoidfrac X A) := isbinopfuntoabmonoidfrac X A ,, isunitalfuntoabmonoidfrac X A.
Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.Monoids2.