proposition: Lemma apCDRplus : ∏ x x' y y' : X, x + y ≠ x' + y' -> x ≠ x' ∨ y ≠ y'.
proof: Proof. exact (isapbinop_op1 (X := ConstructiveDivisionRig_apsetwith2binop X)). Qed.
imports: UniMath.Algebra.DivisionRig UniMath.Algebra.Domains_and_Fields UniMath.Algebra.Apartness UniMath.MoreFoundations.Tactics