trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Native Scaled Ternary Lucas Units

Native ternary Lucas layers have exact three-adic valuations and alternating scaled units.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
THEOREM

Exact depth and signed integer quotient

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Direct recorded relationships
Scale: Fib Lucas DoubleScale: Fib Lucas DoubleGolden Cubic Block CongruencesGolden Cubic Block CongruencesScale: Lucas DoublingScale: Lucas DoublingCloitre's Fibonacci Three-Adic Valuation and Divisor SumCloitre's Fibonacci Three-AdicValuation and Divisor SumNative Scaled Ternary Lucas UnitsNative Scaled Ternary LucasUnits
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
7
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/GoldenCubicScaledTernaryUnit
Repository path
D5/S3/Arith/GoldenCubicScaledTernaryUnit.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.