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| author |  Stephane Glondu <steph@glondu.net> | 2012-06-04 12:07:52 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2012-06-04 12:07:52 +0200 |
| commit | 61dc740ed1c3780cccaec00d059a28f0d31d0052 (patch) | |
| tree | d88d05baf35b9b09a034233300f35a694f9fa6c2 /theories/ZArith/Zeven.v | |
| parent | 97fefe1fcca363a1317e066e7f4b99b9c1e9987b (diff) | |
Imported Upstream version 8.4~gamma0+really8.4beta2upstream/8.4_gamma0+really8.4beta2
Diffstat (limited to 'theories/ZArith/Zeven.v')
| -rw-r--r-- | theories/ZArith/Zeven.v | 6 |
1 files changed, 2 insertions, 4 deletions
diff --git a/theories/ZArith/Zeven.v b/theories/ZArith/Zeven.v index 550b66f7..f4d702b2 100644 --- a/theories/ZArith/Zeven.v +++ b/theories/ZArith/Zeven.v @@ -197,14 +197,12 @@ Qed. Lemma Zquot2_quot n : Z.quot2 n = n ÷ 2. Proof. assert (AUX : forall m, 0 < m -> Z.quot2 m = m ÷ 2). - BeginSubproof. - intros m Hm. + { intros m Hm. apply Z.quot_unique with (if Z.odd m then Z.sgn m else 0). now apply Z.lt_le_incl. rewrite Z.sgn_pos by trivial. destruct (Z.odd m); now split. - apply Zquot2_odd_eqn. - EndSubproof. + apply Zquot2_odd_eqn. } destruct (Z.lt_trichotomy 0 n) as [POS|[NUL|NEG]]. - now apply AUX. - now subst. |