Add sqrt in Numbers

 As for power recently, we add a specification in NZ,N,Z,
 derived properties, implementations for nat, N, Z, BigN, BigZ.

  - For nat, this sqrt is brand new :-), cf NPeano.v

  - For Z, we rework what was in Zsqrt: same algorithm,
    no more refine but a pure function, based now on a sqrt
    for positive, from which we derive a Nsqrt and a Zsqrt.
    For the moment, the old Zsqrt.v file is kept as Zsqrt_compat.v.
    It is not loaded by default by Require ZArith.
    New definitions are now in Psqrt.v, Zsqrt_def.v and Nsqrt_def.v

  - For BigN, BigZ, we changed the specifications to refer to Zsqrt
    instead of using characteristic inequations.

 On the way, many extensions, in particular BinPos (lemmas about order),
 NZMulOrder (results about squares)

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13564 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 1 insertions, 0 deletions

diff --git a/theories/NArith/NArith.v b/theories/NArith/NArith.v
index 1ba3f2992..5cfd0c416 100644
--- a/theories/NArith/NArith.v
+++ b/theories/NArith/NArith.v
@@ -12,6 +12,7 @@ Require Export BinPos.
 Require Export BinNat.
 Require Export Nnat.
 Require Export Ndiv_def.
+Require Export Nsqrt_def.
 Require Export Ndigits.
 Require Export NArithRing.
 Require NBinary.