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authorGravatar gmelquio <gmelquio@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-11-02 15:04:43 +0000
committerGravatar gmelquio <gmelquio@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-11-02 15:04:43 +0000
commitd70800791ded96209c8f71e682f602201f93d56b (patch)
treed7272c002795c59678d95012bbde2c8280e7e6f4 /theories/Arith/Peano_dec.v
parent13b43e3c6600d60e335e65d65f4b48fc409560ab (diff)
Added alternate versions of existing lemmas on sqrt.
Indeed, since sqrt is a total function, most lemmas are true, even for negative inputs. For instance, sqrt_le_1 was 0 <= x -> 0 <= y -> x <= y -> sqrt x <= sqrt y while sqrt_le_1_alt is just x <= y -> sqrt x <= sqrt y. Naming is done by adding _alt suffixes. In an ideal world (Coq 9.0?), these new lemmas should just replace the original ones. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12457 85f007b7-540e-0410-9357-904b9bb8a0f7
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