proposition: Lemma Zgt_ge_plus_plus : forall m n p q : Z, (m > n)%Z -> (p >= q)%Z -> (m + p > n + q)%Z.
proof: Proof. intros. rewrite Zplus_comm. replace (n + q)%Z with (q + n)%Z. apply Zge_gt_plus_plus. assumption. assumption. apply Zplus_comm. Qed.
imports: Coq(Lia)