trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Minimal Sufficiency for Multiple Targets

The dependent joint target is the coarsest concept sufficient for every target.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

The joint target is minimally sufficient

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Direct recorded relationships
Concept Join Universal PropertyConcept Join Universal PropertyMinimal Sufficiency for Multiple TargetsMinimal Sufficiency forMultiple TargetsMinimal Target-Family CompletionMinimal Target-FamilyCompletionMulti-Target Blind ResidualMulti-Target Blind ResidualMulti-Target Observation TopologyMulti-Target ObservationTopologyTarget-Family Essence MonotonicityTarget-Family EssenceMonotonicityFinite-Window Minimal SufficiencyFinite-Window MinimalSufficiency
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

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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/Refinement/MultiTargetMinimalSufficiency
Repository path
D5/S3/ConceptDynamics/Refinement/MultiTargetMinimalSufficiency.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.