Lemma isirreflabmonoidfracrelint (X : abmonoid) (A : subabmonoid X) {L : hrel X} (is : ispartbinophrel A L) (isl : isirrefl L) : isirrefl (abmonoidfracrelint X A L). Proof. unfold isirrefl. intro xa. unfold abmonoidfracrelint. simpl. unfold neg. apply (@hinhuniv _ (make_hProp _ isapropempty)). intro t2. apply (isl _ (pr2 t2)). Defined.
Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.Monoids2.