Lemma ispoabmonoidfracrelint (X : abmonoid) (A : subabmonoid X) {L : hrel X} (is : ispartbinophrel A L) (isl : ispreorder L) : ispreorder (abmonoidfracrelint X A L). Proof. exists (istransabmonoidfracrelint X A is (pr1 isl)). apply (isreflabmonoidfracrelint X A is (pr2 isl)). Defined.
Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.Monoids2.