proposition: Lemma isapbinop_op2 : ∏ x x' y y' : X, op2 x y ≠ op2 x' y' -> x ≠ x' ∨ y ≠ y'.
proof: Proof. exact (isapbinop_op (X := apsetwith2binop_apsetwithbinop2)). Qed.
imports: UniMath.Algebra.BinaryOperations UniMath.Foundations.Propositions UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.DecidablePropositions