diff options
| author |  barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-12-24 10:27:08 +0000 |
|---|---|---|
| committer | barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-12-24 10:27:08 +0000 |
| commit | 38734c5e122e9a38cf5b8afc586f47abced11361 (patch) | |
| tree | 2227afa958bf809d9152b526e29f183b552e5e61 /theories/Reals/Rsqrt_def.v | |
| parent | c69ae2a1f05db124c19b7f326ca23e980f643198 (diff) | |
changement de pose en set (pose n'etait pas utilise avec la semantique
documentee).
Reste a retablir la semantique de pose.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5141 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rsqrt_def.v')
| -rw-r--r-- | theories/Reals/Rsqrt_def.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Reals/Rsqrt_def.v b/theories/Reals/Rsqrt_def.v index b123f1bb7..932e40773 100644 --- a/theories/Reals/Rsqrt_def.v +++ b/theories/Reals/Rsqrt_def.v @@ -267,7 +267,7 @@ unfold cv_infty in |- *. intro. case (total_order_T 0 M); intro. elim s; intro. -pose (N := up M). +set (N := up M). cut (0 <= N)%Z. intro. elim (IZN N H0); intros N0 H1. @@ -475,8 +475,8 @@ apply dicho_up_decreasing; assumption. assumption. right; reflexivity. 2: left; assumption. -pose (Vn := fun n:nat => dicho_lb x y (fun z:R => cond_positivity (f z)) n). -pose (Wn := fun n:nat => dicho_up x y (fun z:R => cond_positivity (f z)) n). +set (Vn := fun n:nat => dicho_lb x y (fun z:R => cond_positivity (f z)) n). +set (Wn := fun n:nat => dicho_up x y (fun z:R => cond_positivity (f z)) n). cut ((forall n:nat, f (Vn n) <= 0) -> f x0 <= 0). cut ((forall n:nat, 0 <= f (Wn n)) -> 0 <= f x0). intros. @@ -652,7 +652,7 @@ Qed. Lemma Rsqrt_exists : forall y:R, 0 <= y -> sigT (fun z:R => 0 <= z /\ y = Rsqr z). intros. -pose (f := fun x:R => Rsqr x - y). +set (f := fun x:R => Rsqr x - y). cut (f 0 <= 0). intro. cut (continuity f). |