trureturingGitHub MATHEMATICAL ATLAS

Entropy / CONCEPT

Canonical Completion Information Chain Decomposition

Canonical source laws express the observation-word chain rule and stable completion information decomposition without redeclaring induced distributions.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH11
DOCUMENT LINKS1
THEOREM

Completion information decomposes through the canonical laws

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Information Cost of Concept CompletionInformation Cost of ConceptCompletionConcept Entropy under RefinementConcept Entropy underRefinementObservation-Word and Completion Information DecompositionObservation-Word and CompletionInformation DecompositionPrediction Stability from Zero Conditional EntropyPrediction Stability from ZeroConditional EntropyCanonical Completion Information Chain DecompositionCanonical CompletionInformation Chain Decomposition
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Lean sourceResearch workspace
Status
Closed
Depth
11
Layer
D5/S3
Domain
Entropy
Node ID
D5/S3/Entropy/Observation/CompletionInformationChainDecompositionCanonical
Repository path
D5/S3/Entropy/Observation/CompletionInformationChainDecompositionCanonical.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.