unfold Rgt; auto with real.
Qed.

(* Specifications: *)
Theorem Rmult_gt_neg_compat_l:
forall n m p : R, (m > n)%R -> (0 > p)%R -> (p * n > p * m)%R.
Theorem Rmult_gt_neg_compat_l:
forall n m p : R, (m > n)%R -> (0 > p)%R -> (p * n > p * m)%R.