proposition: Lemma CDRplus_apcompat_l : ∏ x y z : X, y + x ≠ z + x -> y ≠ z.
proof: Proof. intros x y z. exact (islapbinop_op1 (X := ConstructiveDivisionRig_apsetwith2binop X) _ _ _). Qed.
imports: UniMath.Algebra.DivisionRig UniMath.Algebra.Domains_and_Fields UniMath.Algebra.Apartness UniMath.MoreFoundations.Tactics