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author | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2010-12-06 15:47:32 +0000 |
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committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2010-12-06 15:47:32 +0000 |
commit | 9764ebbb67edf73a147c536a3c4f4ed0f1a7ce9e (patch) | |
tree | 881218364deec8873c06ca90c00134ae4cac724c /theories/NArith/Ndist.v | |
parent | cb74dea69e7de85f427719019bc23ed3c974c8f3 (diff) |
Numbers and bitwise functions.
See NatInt/NZBits.v for the common axiomatization of bitwise functions
over naturals / integers. Some specs aren't pretty, but easier to
prove, see alternate statements in property functors {N,Z}Bits.
Negative numbers are considered via the two's complement convention.
We provide implementations for N (in Ndigits.v), for nat (quite dummy,
just for completeness), for Z (new file Zdigits_def), for BigN
(for the moment partly by converting to N, to be improved soon)
and for BigZ.
NOTA: For BigN.shiftl and BigN.shiftr, the two arguments are now in
the reversed order (for consistency with the rest of the world):
for instance BigN.shiftl 1 10 is 2^10.
NOTA2: Zeven.Zdiv2 is _not_ doing (Zdiv _ 2), but rather (Zquot _ 2)
on negative numbers. For the moment I've kept it intact, and have
just added a Zdiv2' which is truly equivalent to (Zdiv _ 2).
To reorganize someday ?
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13689 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/NArith/Ndist.v')
-rw-r--r-- | theories/NArith/Ndist.v | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/theories/NArith/Ndist.v b/theories/NArith/Ndist.v index 0b61718f8..9d399f5cd 100644 --- a/theories/NArith/Ndist.v +++ b/theories/NArith/Ndist.v @@ -301,7 +301,7 @@ Proof. cut (forall a'':N, Nxor (Npos p) a' = a'' -> Nbit a'' k = false). intros. apply H1. reflexivity. intro a''. case a''. intro. reflexivity. - intros. rewrite <- H1. rewrite (Nxor_semantics (Npos p) a' k). unfold xorf in |- *. + intros. rewrite <- H1. rewrite (Nxor_semantics (Npos p) a' k). rewrite (Nplength_zeros (Npos p) (Pplength p) (refl_equal (Nplength (Npos p))) k H0). |