trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Prime-to-index Fibonacci valuation

At a prime absent from the index, Fibonacci valuation equals the depth at its first zero.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES7
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

Original rank valuation

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Direct recorded relationships
Golden Integer RingGolden Integer RingScale: LucasScale: LucasFinite Fibonacci rank closureFinite Fibonacci rank closurePrime-to-index Fibonacci valuationPrime-to-index FibonaccivaluationDyadic Fibonacci rank budgetDyadic Fibonacci rank budgetExact Finite Original-Depth Fibonacci Support SieveExact Finite Original-DepthFibonacci Support SieveFive-Adic Fibonacci Rank BudgetFive-Adic Fibonacci Rank BudgetComplete Fibonacci Rank BudgetComplete Fibonacci Rank BudgetGolden Cubic Block RanksGolden Cubic Block RanksPrime-power Fibonacci matrix periodPrime-power Fibonacci matrixperiodOriginal odd-depth supportOriginal odd-depth support
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
8
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Primes/FibonacciPrimeToIndexValuation
Repository path
D5/S3/Arith/Primes/FibonacciPrimeToIndexValuation.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.