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