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Resource / CONCEPT

Pythagorean Projection Certificates for Log-Det Divergence

A first-order certificate yields the log-determinant Pythagorean inequality, characterizes equality, and is invariant under invertible congruence.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

A log-det projection certificate implies the Pythagorean inequality

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Direct recorded relationships
Congruence Geometry of the Log-Determinant DivergenceCongruence Geometry of the Log-Determinant DivergencePythagorean Projection Certificates for Log-Det DivergencePythagorean ProjectionCertificates for Log-DetDivergence
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

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Documents & exposition

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None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Resource
Node ID
D5/S3/Resource/LogDet/PythagoreanProjection
Repository path
D5/S3/Resource/LogDet/PythagoreanProjection.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.