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Pinnacle fibres need not be lattices

For every n at least six, an ordered pinnacle class contains two permutations without a common upper bound in the middle order.

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Exactly two peak positions

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Pinnacle fibres need not be latticesPinnacle fibres need not belatticesA rank-three refutation of the Okada discriminant identityA rank-three refutation of theOkada discriminant identity
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Lean sourceResearch workspace
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Closed
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0
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D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/Combinatorics/LiangSaganPinnacle/Result
Repository path
D5/S0/Certificates/Combinatorics/LiangSaganPinnacle/Result.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.