trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Minimal Binary Unimodular Expansion

Nonnegative integral binary matrices have sharp expansion floors determined by the sign of their unimodular determinant.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

The Fibonacci matrix realizes both sharp determinant-sign bounds

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Fibonacci Matrix DiscriminantFibonacci Matrix DiscriminantMinimal Binary Unimodular ExpansionMinimal Binary UnimodularExpansion
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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/GoldenCoding/MinimalBinaryUnimodularBreak
Repository path
D5/S3/Observer/GoldenCoding/MinimalBinaryUnimodularBreak.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.