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| author |  bertot <bertot@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2012-06-05 12:17:32 +0000 |
|---|---|---|
| committer | bertot <bertot@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2012-06-05 12:17:32 +0000 |
| commit | 9dea6a7404a251dbf7c467b445aca2686de59d22 (patch) | |
| tree | 765772817c26d94ed5af763cda7bc4ee763644b1 /theories/Reals/Exp_prop.v | |
| parent | 83b88cee6a66f999a4198200eade41ef49f038c6 (diff) | |
Modifications and rearrangements to remove the action that sin (PI/2) = 1
Beware that the definition of PI changes in the process
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15425 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Exp_prop.v')
| -rw-r--r-- | theories/Reals/Exp_prop.v | 14 |
1 files changed, 0 insertions, 14 deletions
diff --git a/theories/Reals/Exp_prop.v b/theories/Reals/Exp_prop.v index dd97b865d..bd23917e3 100644 --- a/theories/Reals/Exp_prop.v +++ b/theories/Reals/Exp_prop.v @@ -64,20 +64,6 @@ Definition maj_Reste_E (x y:R) (N:nat) : R := (Rmax 1 (Rmax (Rabs x) (Rabs y)) ^ (2 * N) / Rsqr (INR (fact (div2 (pred N))))). -Lemma Rle_Rinv : forall x y:R, 0 < x -> 0 < y -> x <= y -> / y <= / x. -Proof. - intros; apply Rmult_le_reg_l with x. - apply H. - rewrite <- Rinv_r_sym. - apply Rmult_le_reg_l with y. - apply H0. - rewrite Rmult_1_r; rewrite Rmult_comm; rewrite Rmult_assoc; - rewrite <- Rinv_l_sym. - rewrite Rmult_1_r; apply H1. - red in |- *; intro; rewrite H2 in H0; elim (Rlt_irrefl _ H0). - red in |- *; intro; rewrite H2 in H; elim (Rlt_irrefl _ H). -Qed. - (**********) Lemma div2_double : forall N:nat, div2 (2 * N) = N. Proof. |