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Certificates / CONCEPT

A counterexample to Conjecture 5.4's necessity clause

The necessity clause of Conjecture 5.4 is false: six factors [2]_q and one factor [2]_(q^3) give a unimodal polynomial outside the proposed condition.

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THEOREM

The universal necessity assertion is false

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A counterexample to Conjecture 5.4's necessity clauseA counterexample to Conjecture5.4's necessity clauseA negative answer to the final question of Problem 7.2A negative answer to the finalquestion of Problem 7.2
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Status
Closed
Depth
0
Layer
D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/Polynomials/QProductNecessityRefutation
Repository path
D5/S0/Certificates/Polynomials/QProductNecessityRefutation.lean
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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.