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ConceptDynamics / CONCEPT

Concept Fiber Decomposition

Every concept readout decomposes its source into dependent fibers.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES39
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Concept fiber decomposition

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Concept Fiber DecompositionConcept Fiber DecompositionNegative and Positive RightsNegative and Positive RightsBinary Identification within Concept FibersBinary Identification withinConcept FibersCommon-Rule Information ConvergenceCommon-Rule InformationConvergenceHeterogeneous Fiber MisclassificationHeterogeneous FiberMisclassificationLanguage Postprocessing ObstructionLanguage PostprocessingObstructionConcept Join Universal PropertyConcept Join Universal PropertyFuture Obligation IncompletenessFuture ObligationIncompletenessFiber-Internal PathsFiber-Internal PathsComplete Inputs Exclude Deterministic DisagreementComplete Inputs ExcludeDeterministic DisagreementFinite-Horizon Optimal-Action DescentFinite-Horizon Optimal-ActionDescentNonnegative Value of Free InformationNonnegative Value of FreeInformationPartition Knowledge Negative IntrospectionPartition Knowledge NegativeIntrospectionThe Four-Phase Law for Finite EvidenceThe Four-Phase Law for FiniteEvidenceCanonical Dependent Fiber EquivalenceCanonical Dependent FiberEquivalenceCoordinate Residue Bilayer Is Not a ProductCoordinate Residue Bilayer IsNot a ProductObserver and Concept Readout CorrespondenceObserver and Concept ReadoutCorrespondenceWhole Dependent Fiber FormWhole Dependent Fiber FormZero Conditional Logical ImpurityZero Conditional LogicalImpurityCommon-Source Capture CollapseCommon-Source Capture CollapseInteraction Witness from Noncommuting InterventionsInteraction Witness fromNoncommuting InterventionsCommuting Target ExchangeCommuting Target ExchangeAuthorization and Factual CorrectnessAuthorization and FactualCorrectnessDoob-Dynkin FactorizationDoob-Dynkin FactorizationDescriptive and Normative Structure SeparationDescriptive and NormativeStructure SeparationHistory-Sensitive Outcome Reduction ObstructionHistory-Sensitive OutcomeReduction ObstructionInvolution DescentInvolution DescentAction Expansion and IndistinguishabilityAction Expansion andIndistinguishabilityFinite Strict Refinement BoundFinite Strict Refinement BoundDominance Nontransitivity CountermodelDominance NontransitivityCountermodelAtoms of the Pullback AlgebraAtoms of the Pullback AlgebraInverse Limit CompletionInverse Limit CompletionRefinement UltrametricRefinement UltrametricAdditive Descent Defect Chain LawAdditive Descent Defect ChainLawMaximum Factor-Compatible SubdomainMaximum Factor-CompatibleSubdomainValidity Preservation by Admissible TransportValidity Preservation byAdmissible TransportEffective-Image NaturalityEffective-Image NaturalityTransport Licensing and Scope OverreachTransport Licensing and ScopeOverreachZero Vulnerability RadiusZero Vulnerability RadiusRefinement Factorization CategoryRefinement FactorizationCategory
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

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LIBRARY / RELEASE VERSIONS

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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/ConceptFiberDecomposition
Repository path
D5/S3/ConceptDynamics/ConceptFiberDecomposition.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.