diff options
| author |  marche <marche@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-12-05 16:42:46 +0000 |
|---|---|---|
| committer | marche <marche@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-12-05 16:42:46 +0000 |
| commit | 7095630625a8f9657f681c488514f589ea63334e (patch) | |
| tree | 19a41077333781f368375c5b9fc11e2a2a956f20 /theories/Reals/Rfunctions.v | |
| parent | aae1ebe54ab2ea42111e4c429d96129ce176acf5 (diff) | |
power associe a droite
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5072 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rfunctions.v')
| -rw-r--r-- | theories/Reals/Rfunctions.v | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Reals/Rfunctions.v b/theories/Reals/Rfunctions.v index 30b4a5396..62eff1d1f 100644 --- a/theories/Reals/Rfunctions.v +++ b/theories/Reals/Rfunctions.v @@ -419,7 +419,7 @@ rewrite Hrecn; rewrite Rmult_1_l; simpl in |- *; rewrite Rmult_1_r; rewrite Rabs_Ropp; apply Rabs_R1. Qed. -Lemma pow_mult : forall (x:R) (n1 n2:nat), x ^ (n1 * n2) = x ^ n1 ^ n2. +Lemma pow_mult : forall (x:R) (n1 n2:nat), x ^ (n1 * n2) = (x ^ n1) ^ n2. Proof. intros; induction n2 as [| n2 Hrecn2]. simpl in |- *; replace (n1 * 0)%nat with 0%nat; [ reflexivity | ring ]. @@ -534,7 +534,7 @@ Definition powerRZ (x:R) (n:Z) := | Zneg p => / x ^ nat_of_P p end. -Infix Local "^Z" := powerRZ (at level 30, left associativity) : R_scope. +Infix Local "^Z" := powerRZ (at level 30, right associativity) : R_scope. Lemma Zpower_NR0 : forall (x:Z) (n:nat), (0 <= x)%Z -> (0 <= Zpower_nat x n)%Z. |