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