trureturingGitHub MATHEMATICAL ATLAS

Fourier / CONCEPT

Binary Character Uniform Information Exactness

Uniform finite-group inputs yield exact binary-character information in bits.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

A uniform character profile carries exactly its rank in bits

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Equality Cases for Finite Shannon EntropyEquality Cases for FiniteShannon EntropyQuotient-Fiber Entropy DecompositionQuotient-Fiber EntropyDecompositionBinary Character Rank And RedundancyBinary Character Rank AndRedundancyBinary Character Uniform Information ExactnessBinary Character UniformInformation Exactness
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
8
Layer
D5/S3
Domain
Fourier
Node ID
D5/S3/Fourier/CharacterSelection/BinaryCharacterUniformInformationExactness
Repository path
D5/S3/Fourier/CharacterSelection/BinaryCharacterUniformInformationExactness.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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.