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ConceptDynamics / CONCEPT

Universal Sufficiency Factorization

Universal sufficiency is equivalently target factorization or constancy on fibers.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES18
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Universal sufficiency has three equivalent forms

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Concept Join Universal PropertyConcept Join Universal PropertyUniversal Sufficiency FactorizationUniversal SufficiencyFactorizationAnswerable Targets Are Monotone under RefinementAnswerable Targets Are Monotoneunder RefinementContestability Without Rule ExplanationContestability Without RuleExplanationExplainable but Not ContestableExplainable but Not ContestableRule-Coupled Appeal ContrastRule-Coupled Appeal ContrastProcedure-Derived Correct OutcomeProcedure-Derived CorrectOutcomeCounterfactual Target MinimalityCounterfactual TargetMinimalityTarget Closure OperatorTarget Closure OperatorBounded Discussion Blind-Spot PersistenceBounded Discussion Blind-SpotPersistenceCommon-Source Echo LimitCommon-Source Echo LimitSource-Bounded Paraphrases Preserve Target Blind SpotsSource-Bounded ParaphrasesPreserve Target Blind SpotsJudgment-Relative Analogy CriterionJudgment-Relative AnalogyCriterionLeft-Invertible Processes Recover All TargetsLeft-Invertible ProcessesRecover All TargetsViolation Enforceability CriterionViolation EnforceabilityCriterionSubthreshold Coalitions Learn NothingSubthreshold Coalitions LearnNothingFinite-Window Minimal SufficiencyFinite-Window MinimalSufficiencyQuery Family IdentificationQuery Family IdentificationSufficiency Is Target-RelativeSufficiency Is Target-RelativeTarget Knowledge Without World KnowledgeTarget Knowledge Without WorldKnowledge
Proof dependencyStructural affinityDocument link

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Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Sufficiency/UniversalSufficiencyFactorization
Repository path
D5/S3/ConceptDynamics/Sufficiency/UniversalSufficiencyFactorization.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.