proposition: Lemma right_cancellation_ne_0 `{forall z, PropHolds (z <> 0) -> RightCancellation op z} z : z <> 0 -> RightCancellation op z.
proof: Proof. auto. Qed.
imports: HoTT.Classes.theory.groups HoTT.Classes.theory.apartness HoTT.Classes.interfaces.abstract_algebra