trureturingGitHub MATHEMATICAL ATLAS

Analytic / CONCEPT

A counterexample to the sum-condition upper bound

An alternating lower bracket contradicts the sum-condition Luke upper bound.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
THEOREM

Nonnegative magnitudes

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A counterexample to the sum-condition lower boundA counterexample to the sum-condition lower boundA counterexample to the sum-condition upper boundA counterexample to the sum-condition upper bound
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Certified topology / DOWNSTREAM

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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/KarpSitnikLuke/UpperResult
Repository path
D5/S3/Analytic/KarpSitnikLuke/UpperResult.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.