trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Double Orthogonal Complement and Closure

Double orthogonal complementation equals topological closure in a Hilbert space.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Double orthogonal complement equals closure

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Double Orthogonal Complement and ClosureDouble Orthogonal Complementand ClosureNyman-Beurling Target Quotient CriterionNyman-Beurling Target QuotientCriterion
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Algebra/DoubleOrthogonalClosure
Repository path
D5/S3/Quantum/Algebra/DoubleOrthogonalClosure.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.