trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

Actual Cloitre Spine and Scalar Carry

The offset spine belongs to one finite actual Cloitre split tree and preserves its scalar carry total.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
THEOREM

One actual finite spine conserves scalar carry

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Direct recorded relationships
Golden Gap Word from Zeckendorf DigitsGolden Gap Word from ZeckendorfDigitsGolden Phase Classification of the Beatty DeficitGolden Phase Classification ofthe Beatty DeficitActual Cloitre Endpoint Phase and Defect AmplitudeActual Cloitre Endpoint Phaseand Defect AmplitudeActual Cloitre Spine and Scalar CarryActual Cloitre Spine and ScalarCarry
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
7
Layer
D5/S1
Domain
Recurrence
Node ID
D5/S1/Recurrence/Invariants/CloitreActualSpineCarry
Repository path
D5/S1/Recurrence/Invariants/CloitreActualSpineCarry.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.