Observer / CONCEPT

Congruence Closure Duality

Forward congruences have dual repairs, common fixed points, and an adjoint triple.

Closed Authored exposition

DIRECT PREREQUISITES1

DIRECT CONSEQUENCES0

PROOF DEPTH1

DOCUMENT LINKS1

THEOREM

Dual canonical repairs of an equivalence relation

RELATIONSHIP ATLAS

Every connection, in context.

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Range Direct recorded relationships

Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Congruence Kerneltruth-dependency · Closed

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Document: Congruence Closure Duality.mdblueprint-truth-anchor · Semantic

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

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Certified provenance

Exact release coordinate

Lean source Research workspace

Status: Closed
Depth: 1
Layer: D5/S3
Domain: Observer
Node ID: D5/S3/Observer/Separation/CongruenceClosureDuality
Repository path: D5/S3/Observer/Separation/CongruenceClosureDuality.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.