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| author |  letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2011-07-01 17:38:17 +0000 |
|---|---|---|
| committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2011-07-01 17:38:17 +0000 |
| commit | d2204e78c2d8bfc4f46ba541749b07dedd5e7969 (patch) | |
| tree | d2c9de4d986dc2f37744fad6f434ddac1506a8e0 /theories/ZArith/BinIntDef.v | |
| parent | ae95b79d0912a7b1a5370854cb6fb1aadb1db6b2 (diff) | |
Cleanup of files related with power over Z.
- Zpow_def, Zpower, Zpow_facts shortened thanks to stuff in BinInt.Z
- The alternative Zpower_alt is now in a separate file Zpow_alt.v,
not loaded by default.
- Some more injection lemmas in Znat (pow, div, mod, quot, rem)
- Btw, added a "square" function in Z, N, Pos, ... (instead of
Zpow_facts.Zsquare).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14253 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/ZArith/BinIntDef.v')
| -rw-r--r-- | theories/ZArith/BinIntDef.v | 9 |
1 files changed, 9 insertions, 0 deletions
diff --git a/theories/ZArith/BinIntDef.v b/theories/ZArith/BinIntDef.v index ee9051ff8..d96d20fbb 100644 --- a/theories/ZArith/BinIntDef.v +++ b/theories/ZArith/BinIntDef.v @@ -132,6 +132,15 @@ Definition pow x y := Infix "^" := pow : Z_scope. +(** ** Square *) + +Definition square x := + match x with + | 0 => 0 + | Zpos p => Zpos (Pos.square p) + | Zneg p => Zpos (Pos.square p) + end. + (** ** Comparison *) Definition compare x y := |