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The Inclusion Chain of Composite Matrix Cones

For finite complex matrices, separable, positive-semidefinite, and block-positive cones form a proved inclusion chain.

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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES5
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Separable matrices are positive semidefinite

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The Inclusion Chain of Composite Matrix ConesThe Inclusion Chain ofComposite Matrix ConesResource: Composite Cone DualityResource: Composite ConeDualityProperness of the Composite Matrix-Cone InclusionsProperness of the CompositeMatrix-Cone InclusionsResource: Entanglement WitnessResource: Entanglement WitnessResource: Entanglement Witness ExistsResource: Entanglement WitnessExistsResource: Separable Cone ClosedResource: Separable Cone Closed
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Resource
Node ID
D5/S3/Resource/CompositeCones
Repository path
D5/S3/Resource/CompositeCones.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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