diff options
| author |  letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2011-06-28 23:30:21 +0000 |
|---|---|---|
| committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2011-06-28 23:30:21 +0000 |
| commit | 00353bc0b970605ae092af594417a51a0cdf903f (patch) | |
| tree | 24187302e7bc000e784af8e745d6da9d525f7e52 /theories/Numbers/Natural | |
| parent | a0b31c88aa2bcd50524cbc48d16eb78c62da3445 (diff) | |
Deletion of useless Zlog_def
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14246 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Numbers/Natural')
| -rw-r--r-- | theories/Numbers/Natural/BigN/NMake.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v | 6 |
2 files changed, 4 insertions, 4 deletions
diff --git a/theories/Numbers/Natural/BigN/NMake.v b/theories/Numbers/Natural/BigN/NMake.v index 66b39aca9..64b8ec844 100644 --- a/theories/Numbers/Natural/BigN/NMake.v +++ b/theories/Numbers/Natural/BigN/NMake.v @@ -1244,7 +1244,7 @@ Module Make (W0:CyclicType) <: NType. apply ZnZ.spec_head0; auto with zarith. Qed. - Lemma spec_log2 : forall x, [log2 x] = Zlog2 [x]. + Lemma spec_log2 : forall x, [log2 x] = Z.log2 [x]. Proof. intros. destruct (Z_lt_ge_dec 0 [x]). symmetry. apply Z.log2_unique. apply spec_pos. diff --git a/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v b/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v index 9bed794f2..225c0853e 100644 --- a/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v +++ b/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v @@ -277,13 +277,13 @@ Qed. Lemma log2_spec : forall n, 0<n -> 2^(log2 n) <= n /\ n < 2^(succ (log2 n)). Proof. - intros n. zify. change (Zlog2 [n]+1)%Z with (Zsucc (Zlog2 [n])). - apply Zlog2_spec. + intros n. zify. change (Z.log2 [n]+1)%Z with (Z.succ (Z.log2 [n])). + apply Z.log2_spec. Qed. Lemma log2_nonpos : forall n, n<=0 -> log2 n == 0. Proof. - intros n. zify. apply Zlog2_nonpos. + intros n. zify. apply Z.log2_nonpos. Qed. (** Even / Odd *) |