trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Tail Residual Cross-Layer Bound

A Lipschitz update separates a coarse defect into a fine tail and cross-layer defect.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Tail residual cross-layer defect bound

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Direct recorded relationships
Defect Decomposition for Projected UpdatesDefect Decomposition forProjected UpdatesOrthogonal Projections onto Complementary SubspacesOrthogonal Projections ontoComplementary SubspacesTail Residual Cross-Layer BoundTail Residual Cross-Layer Bound
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

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
1
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/MetricGeometryLaws/TailResidualCrossLayerBound
Repository path
D5/S3/Observer/MetricGeometryLaws/TailResidualCrossLayerBound.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.