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authorletouzey2010-10-19 10:16:57 +0000
committerletouzey2010-10-19 10:16:57 +0000
commitb03b65fdc44e3c6cfeceaf997cbc1a50a6c19e5c (patch)
tree1f1f559148dc923d883e47bd8941d46ce2446639 /dev/v8-syntax
parent2521bbc7e9805fd57d2852c1e9631250def11d57 (diff)
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
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