diff options
| author |  glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2011-08-17 13:43:52 +0000 |
|---|---|---|
| committer | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2011-08-17 13:43:52 +0000 |
| commit | fbc1924f292b442d7c0dd565df83889f912f5477 (patch) | |
| tree | e3269482f8a07b1a17ef1a82b7f5acef7a631b90 /theories/QArith | |
| parent | af4283e8e4e670b8a5761892548f2d65792cd7e9 (diff) | |
Smaller proof terms for QcPower_{0,pos}
The use of compute produces huge terms that contain hundreds of
unfolded Zadd, Zmul, Zsucc!
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14412 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/QArith')
| -rw-r--r-- | theories/QArith/Qcanon.v | 8 |
1 files changed, 3 insertions, 5 deletions
diff --git a/theories/QArith/Qcanon.v b/theories/QArith/Qcanon.v index 2ab27abaa..218289a4f 100644 --- a/theories/QArith/Qcanon.v +++ b/theories/QArith/Qcanon.v @@ -466,18 +466,16 @@ Proof. destruct n; simpl. destruct 1; auto. intros. - apply Qc_is_canon. - simpl. - compute; auto. + now apply Qc_is_canon. Qed. Lemma Qcpower_pos : forall p n, 0 <= p -> 0 <= p^n. Proof. induction n; simpl; auto with qarith. - intros; compute; intro; discriminate. + easy. intros. apply Qcle_trans with (0*(p^n)). - compute; intro; discriminate. + easy. apply Qcmult_le_compat_r; auto. Qed. |