proposition: Lemma islapbinop_op1 : ∏ x x' y : X, op1 x y ≠ op1 x' y -> x ≠ x'.
proof: Proof. exact (islapbinop_op (X := apsetwith2binop_apsetwithbinop1)). Qed.
imports: UniMath.Algebra.BinaryOperations UniMath.Foundations.Propositions UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.DecidablePropositions