trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Binary carry and phase-preserving quotient coverage

A periodic family of affine congruence rows descends through a binary quotient by retaining activation, direction and carry for the same original phases.

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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
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THEOREM

Covering the four-point plane

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Binary carry and phase-preserving quotient coverageBinary carry and phase-preserving quotient coverageMixed affine covers of the binary planeMixed affine covers of thebinary planeShared phases across paired eight-row fibersShared phases across pairedeight-row fibers
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Covering/BinaryCarryQuotient
Repository path
D5/S3/Arith/Covering/BinaryCarryQuotient.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
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.