Lemma isreflabmonoidfracrelint (X : abmonoid) (A : subabmonoid X) {L : hrel X} (is : ispartbinophrel A L) (isl : isrefl L) : isrefl (abmonoidfracrelint X A L). Proof. intro xa. unfold abmonoidfracrelint. simpl. apply hinhpr. exists (unel A). apply (isl _). Defined.
Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.Monoids2.