diff options
| author |  bgregoir <bgregoir@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2006-12-15 15:30:59 +0000 |
|---|---|---|
| committer | bgregoir <bgregoir@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2006-12-15 15:30:59 +0000 |
| commit | 99f4c55d9b9eb1130bff54a1ff9028b442141231 (patch) | |
| tree | a996b35f7fb7ab35dd616a4b2a162948b9e550be /theories/Reals/RIneq.v | |
| parent | 1029596ed3c5b86162f4a4717fe2e50df70cb837 (diff) | |
Changement dans ring et field, beaucoup de correction d'erreurs,
maintenant les differentes tactics marchent mieux mais le code
est moche ...
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9454 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/RIneq.v')
| -rw-r--r-- | theories/Reals/RIneq.v | 12 |
1 files changed, 12 insertions, 0 deletions
diff --git a/theories/Reals/RIneq.v b/theories/Reals/RIneq.v index daebd9178..5d1327528 100644 --- a/theories/Reals/RIneq.v +++ b/theories/Reals/RIneq.v @@ -13,6 +13,8 @@ (***************************************************************************) Require Export Raxioms. +Require Import Rpow_def. +Require Import Zpower. Require Export ZArithRing. Require Import Omega. Require Export RealField. @@ -1528,6 +1530,16 @@ Proof. rewrite Rmult_opp_opp; auto with real. Qed. +Lemma pow_IZR : forall z n, pow (IZR z) n = IZR (Zpower z (Z_of_nat n)). +Proof. + intros z [|n];simpl;trivial. + rewrite Zpower_pos_nat. + rewrite nat_of_P_o_P_of_succ_nat_eq_succ. unfold Zpower_nat;simpl. + rewrite mult_IZR. + induction n;simpl;trivial. + rewrite mult_IZR;ring[IHn]. +Qed. + (**********) Lemma Ropp_Ropp_IZR : forall n:Z, IZR (- n) = - IZR n. Proof. |