trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Single-Chain Cofactor Bound

A complete saturated prime chain forces its cofactor prime below the chain prime.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH15
DOCUMENT LINKS1
THEOREM

The cofactor prime is smaller than the chain prime

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Prime-Root Compression and Original InventoryPrime-Root Compression andOriginal InventoryConcentrated Prime SingletonsConcentrated Prime SingletonsPrime Factors and Pure Prime ClassesPrime Factors and Pure PrimeClassesFresh Completion of a Complete Prime ChainFresh Completion of a CompletePrime ChainSingle-Chain Cofactor BoundSingle-Chain Cofactor Bound
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
15
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Covering/SingleChainCofactorBound
Repository path
D5/S3/Arith/Covering/SingleChainCofactorBound.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
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.