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Find the original argument.

Search the paper sections, open their original context and follow the checks they actually cite. The knowledge atlas explains the result; this library locates its source.

Remaining limitations of the Lean chain itself.

note carrier rigidity lean4

Calder\'on: two structural layers formalised, analytic input of the polarisation open.\ CalderonProjector proves [formula in source] , and BoundaryPolarization (v10) shows that any direct-sum decomposition [formula in source] of a [formula in source] -module produces such an idempotent via Mathlib's IsCompl.projection. What remains is the analytic Paper 1 theorem producing the boundary spectral decomposition itself —

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/experiments--lean4-carrier-rigidity--note_carrier_rigidity_lean4/sections/004-section-interface-table-tfpt-paper-2-texorpdfstring-left.tex · lines 191 to 238

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

  • cross reference join tfpt_readouts.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v10_projection_involution.py

    literal short identifier uniquely resolves in local script registry

  • cross reference join AxiomCheck.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • cross reference join AuditContract.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • cross reference join HiggsSchemeCohomologyShadow.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • cross reference join BoundaryYukawaKernelInterface.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • cross reference join BoundaryPolarization.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • cross reference join YukawaStageDExistence.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • cross reference join AuditCheck.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

What this source index covers

The public registry includes 116 document views, 6,693 section records and 985 physical LaTeX sources. Active publication documents, research material and archives retain their recorded roles. This is source navigation, not a new semantic review or proof run.