trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Saturation of maximal Sidon sets

A Sidon set that admits no further insertion inside the integers from one to N saturates that interval, so N is at most an explicit cubic polynomial in its cardinality.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The saturation inequality

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Sidon sets and the difference-counting boundSidon sets and the difference-counting boundSaturation of maximal Sidon setsSaturation of maximal Sidonsets
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Additive/MaximalSidon
Repository path
D5/S3/Arith/Additive/MaximalSidon.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.