diff options
| author |  barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-12-15 19:48:24 +0000 |
|---|---|---|
| committer | barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-12-15 19:48:24 +0000 |
| commit | 3675bac6c38e0a26516e434be08bc100865b339b (patch) | |
| tree | 87f8eb1905c7b508dea60b1e216f79120e9e772d /theories/Reals/PSeries_reg.v | |
| parent | c881bc37b91a201f7555ee021ccb74adb360d131 (diff) | |
modif existentielle (exists | --> exists ,) + bug d'affichage des pt fixes
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5099 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/PSeries_reg.v')
| -rw-r--r-- | theories/Reals/PSeries_reg.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Reals/PSeries_reg.v b/theories/Reals/PSeries_reg.v index 4111377b7..b6375829b 100644 --- a/theories/Reals/PSeries_reg.v +++ b/theories/Reals/PSeries_reg.v @@ -22,8 +22,8 @@ Definition CVU (fn:nat -> R -> R) (f:R -> R) (x:R) (r:posreal) : Prop := forall eps:R, 0 < eps -> - exists N : nat - | (forall (n:nat) (y:R), + exists N : nat, + (forall (n:nat) (y:R), (N <= n)%nat -> Boule x r y -> Rabs (f y - fn n y) < eps). (* Normal convergence *) @@ -104,7 +104,7 @@ cut (0 < eps / 3); [ assumption | apply Rinv_0_lt_compat; prove_sup0 ] ]. elim (H _ H3); intros N0 H4. assert (H5 := H0 N0 y H1). -cut ( exists del : posreal | (forall h:R, Rabs h < del -> Boule x r (y + h))). +cut (exists del : posreal, (forall h:R, Rabs h < del -> Boule x r (y + h))). intro. elim H6; intros del1 H7. unfold continuity_pt in H5; unfold continue_in in H5; unfold limit1_in in H5; @@ -256,4 +256,4 @@ unfold An in |- *; apply H4; unfold Boule in |- *; simpl in |- *; rewrite Rminus_0_r; pattern (Rabs x) at 1 in |- *; rewrite <- Rplus_0_r; apply Rplus_lt_compat_l; apply Rlt_0_1. apply Rplus_le_lt_0_compat; [ apply Rabs_pos | apply Rlt_0_1 ]. -Qed.
\ No newline at end of file +Qed. |