proposition: Lemma CDRplus_apcompat_r : ∏ x y z : X, x + y ≠ x + z -> y ≠ z.
proof: Proof. exact (israpbinop_op1 (X := ConstructiveDivisionRig_apsetwith2binop X)). Qed.
imports: UniMath.Algebra.DivisionRig UniMath.Algebra.Domains_and_Fields UniMath.Algebra.Apartness UniMath.MoreFoundations.Tactics