trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Strict Growth of the Optimal Real-law Slope

The minimum ratio of dyadic sampling cost to least atom mass grows strictly with the label count.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Normalized floor tails

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Direct recorded relationships
Dyadic Cost Support LinesDyadic Cost Support LinesStrict Growth of the Optimal Real-law SlopeStrict Growth of the OptimalReal-law SlopeFinite Carry-slot SamplingFinite Carry-slot SamplingComplementary Dyadic Second SupportComplementary Dyadic SecondSupportThe Unique Positive Rational PriceThe Unique Positive RationalPriceStrict Dyadic Rounding of Optimal LawsStrict Dyadic Rounding ofOptimal Laws
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/FibonacciAtomic/OptimalLawStrictSlope
Repository path
D5/S3/Arith/FibonacciAtomic/OptimalLawStrictSlope.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.