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Analytic / CONCEPT

Newton inequalities from the upstream symmetric-function proof

Newton inequalities for elementary symmetric functions of real multisets.

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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES5
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

The reduced Newton inequality

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Newton inequalities from the upstream symmetric-function proofNewton inequalities from theupstream symmetric-functionproofLog-concavity of the full crown f-vectorLog-concavity of the full crownf-vectorReal-rooted general position polynomialsReal-rooted general positionpolynomialsFinite posterior exponential momentsFinite posterior exponentialmomentsFinite weighted subset lawsFinite weighted subset lawsUniform Posterior Log OddsUniform Posterior Log Odds
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/RealRootedCoefficientNewton
Repository path
D5/S3/Analytic/RealRootedCoefficientNewton.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.