trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Canonical Refinement Lowers Conditional Impurity

Canonical joint-fiber masses witness impurity monotonicity under refinement.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Refinement cannot increase conditional impurity

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Concept Join Universal PropertyConcept Join Universal PropertyZero Conditional Logical ImpurityZero Conditional LogicalImpurityCanonical Refinement Lowers Conditional ImpurityCanonical Refinement LowersConditional Impurity
Proof dependencyStructural affinityDocument link

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Certified topology / DOWNSTREAM

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