proposition: Lemma israpbinop_op2 : ∏ x y y' : X, op2 x y ≠ op2 x y' -> y ≠ y'.
proof: Proof. exact (israpbinop_op (X := apsetwith2binop_apsetwithbinop2)). Qed.
imports: UniMath.Algebra.BinaryOperations UniMath.Foundations.Propositions UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.DecidablePropositions