trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Actual Integer Logarithmic Envelope

A fixed-price integer comparator removes the large-prime split error in the actual Robin objective.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES2
PROOF DEPTH15
DOCUMENT LINKS0
THEOREM

A finite prime-support bound for the actual sigma ratio

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Literal Strict Euler Inventory GrowthLiteral Strict Euler InventoryGrowthAn Explicit Elementary Mertens EnvelopeAn Explicit Elementary MertensEnvelopeOriginalFirstClockTransportOriginalFirstClockTransportWeil: Gronwall Upper EnvelopeWeil: Gronwall Upper EnvelopeActual Integer Logarithmic EnvelopeActual Integer LogarithmicEnvelopeActual Prime-Layer Exchange and Abundancy RecordsActual Prime-Layer Exchange andAbundancy RecordsActual Integer Height JumpsActual Integer Height Jumps
Proof dependencyStructural affinityDocument link

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
15
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Robin/ActualIntegerLogEnvelope
Repository path
D5/S3/Arith/Robin/ActualIntegerLogEnvelope.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.