diff options
Diffstat (limited to 'theories/Numbers/Integer/Abstract/ZMulOrder.v')
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZMulOrder.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZMulOrder.v b/theories/Numbers/Integer/Abstract/ZMulOrder.v index e3f1d9aa..c7996ffd 100644 --- a/theories/Numbers/Integer/Abstract/ZMulOrder.v +++ b/theories/Numbers/Integer/Abstract/ZMulOrder.v @@ -8,7 +8,7 @@ (* Evgeny Makarov, INRIA, 2007 *) (************************************************************************) -(*i $Id: ZMulOrder.v 11040 2008-06-03 00:04:16Z letouzey $ i*) +(*i $Id: ZMulOrder.v 11674 2008-12-12 19:48:40Z letouzey $ i*) Require Export ZAddOrder. @@ -173,7 +173,7 @@ Notation Zmul_neg := Zlt_mul_0 (only parsing). Theorem Zle_0_mul : forall n m : Z, 0 <= n * m -> 0 <= n /\ 0 <= m \/ n <= 0 /\ m <= 0. Proof. -assert (R : forall n : Z, 0 == n <-> n == 0) by (intros; split; apply Zeq_symm). +assert (R : forall n : Z, 0 == n <-> n == 0) by (intros; split; apply Zeq_sym). intros n m. repeat rewrite Zlt_eq_cases. repeat rewrite R. rewrite Zlt_0_mul, Zeq_mul_0. pose proof (Zlt_trichotomy n 0); pose proof (Zlt_trichotomy m 0). tauto. @@ -184,7 +184,7 @@ Notation Zmul_nonneg := Zle_0_mul (only parsing). Theorem Zle_mul_0 : forall n m : Z, n * m <= 0 -> 0 <= n /\ m <= 0 \/ n <= 0 /\ 0 <= m. Proof. -assert (R : forall n : Z, 0 == n <-> n == 0) by (intros; split; apply Zeq_symm). +assert (R : forall n : Z, 0 == n <-> n == 0) by (intros; split; apply Zeq_sym). intros n m. repeat rewrite Zlt_eq_cases. repeat rewrite R. rewrite Zlt_mul_0, Zeq_mul_0. pose proof (Zlt_trichotomy n 0); pose proof (Zlt_trichotomy m 0). tauto. |