proposition: Lemma islapbinop_op : ∏ x x' y : X, op x y ≠ op x' y -> x ≠ x'.
proof: Proof. intros x y y'. now apply (pr1 (pr2 (pr2 X))). Qed.
imports: UniMath.Algebra.BinaryOperations UniMath.Foundations.Propositions UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.DecidablePropositions