Lemma israpbinop_op1 : ∏ x y y' : X, op1 x y ≠ op1 x y' → y ≠ y'. Proof. exact (israpbinop_op (X := apsetwith2binop_apsetwithbinop1)). Qed.
Require Import UniMath.Foundations.Propositions. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.DecidablePropositions.