trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Shared phases across paired eight-row fibers

Eight affine congruence rows with shared phases leave a horizontal deficit across paired fibers. Separate successful repairs need not have a common phase vector.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The paired horizontal deficit

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Binary carry and phase-preserving quotient coverageBinary carry and phase-preserving quotient coverageShared phases across paired eight-row fibersShared phases across pairedeight-row fibers
Proof dependencyStructural affinityDocument link

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Certified topology / DOWNSTREAM

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Covering/PairedEightRows
Repository path
D5/S3/Arith/Covering/PairedEightRows.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.