diff options
Diffstat (limited to 'theories/Reals/SeqSeries.v')
| -rw-r--r-- | theories/Reals/SeqSeries.v | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Reals/SeqSeries.v b/theories/Reals/SeqSeries.v index 6ff3fa8b8..462a94db1 100644 --- a/theories/Reals/SeqSeries.v +++ b/theories/Reals/SeqSeries.v @@ -375,11 +375,11 @@ Proof with trivial. assert (H1 : forall n:nat, 0 < sum_f_R0 An n)... intro; apply tech1... assert (H2 : cv_infty (fun n:nat => sum_f_R0 An n))... - unfold cv_infty; intro; case (Rle_dec M 0); intro... + unfold cv_infty; intro; destruct (Rle_dec M 0) as [Hle|Hnle]... exists 0%nat; intros; apply Rle_lt_trans with 0... assert (H2 : 0 < M)... auto with real... - clear n; set (m := up M); elim (archimed M); intros; + clear Hnle; set (m := up M); elim (archimed M); intros; assert (H5 : (0 <= m)%Z)... apply le_IZR; unfold m; simpl; left; apply Rlt_trans with M... elim (IZN _ H5); intros; exists x; intros; unfold An; rewrite sum_cte; |