trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Hilbert Path Fundamental Theorem

Actual derivatives and pointwise Bochner reconstruction for absolutely continuous Hilbert paths. In both statements, u is an arbitrary universe level.

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THEOREM

Actual derivatives almost everywhere

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Hilbert Path Fundamental TheoremHilbert Path FundamentalTheoremSingular Quadrature for Complex Sobolev RepresentativesSingular Quadrature for ComplexSobolev RepresentativesHilbert Subspace ActionHilbert Subspace ActionFull-space thermal HamiltoniansFull-space thermal HamiltoniansOccupationHilbertContractionsOccupationHilbertContractions
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/HilbertGeometry/HilbertPathFundamentalTheorem
Repository path
D5/S3/Observer/HilbertGeometry/HilbertPathFundamentalTheorem.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.