trureturingGitHub MATHEMATICAL ATLAS

HomologicalAlgebra / CONCEPT

Integer Inner Inverses from Unit Minors

A maximal nonzero minor of a finite totally unimodular integer matrix reconstructs the whole matrix and gives an integer inner inverse.

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THEOREM

Every finite TU integer matrix has an integer inner inverse

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Integer Inner Inverses from Unit MinorsInteger Inner Inverses fromUnit MinorsExtreme points of finite matroid intersectionExtreme points of finitematroid intersection
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Status
Closed
Depth
0
Layer
D5/S3
Domain
HomologicalAlgebra
Node ID
D5/S3/HomologicalAlgebra/IntegerMatrixInnerInverse
Repository path
D5/S3/HomologicalAlgebra/IntegerMatrixInnerInverse.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.