trureturingGitHub MATHEMATICAL ATLAS

Analytic / CONCEPT

Finite Attainment for Extended Linear Programs

Both feasible valid extended linear programs attain finite opposite values.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Finite opposite attained values

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Extended Farkas AlternativeExtended Farkas AlternativeFinite Attainment for Extended Linear ProgramsFinite Attainment for ExtendedLinear ProgramsGeneral cost probability transportGeneral cost probabilitytransport
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/Convexity/FiniteStrongDuality
Repository path
D5/S3/Analytic/Convexity/FiniteStrongDuality.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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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.