trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Transfinite Hilbert-Basis Residual Tower

An initially indexed infinite Hilbert basis determines successor splittings, exact limit stages, full-size proper residuals, and a zero terminal residual.

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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
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THEOREM

Initially indexed bases split every residual stage

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Transfinite Hilbert-Basis Residual TowerTransfinite Hilbert-BasisResidual TowerFinite Subspace Complement AbsorptionFinite Subspace ComplementAbsorptionResidual Progress MeasuresResidual Progress Measures
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Completion/TransfiniteBasisResidualTower
Repository path
D5/S3/Quantum/Completion/TransfiniteBasisResidualTower.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.