AutoSamplingTheory.SALD.cycle152GeneralMovingTargetDiscreteEmGeneratorEventSourceFieldStdBasisLowerObligation

Data definition / provenance and workflow record

Meaning and type

The result has data type AutoSamplingTheory.ProofObligation. A value of this type stores descriptions; it is not a proof of the statements in those descriptions.

def cycle152GeneralMovingTargetDiscreteEmGeneratorEventSourceFieldStdBasisLowerObligation :
    ProofObligation

Construction and field-by-field explanation

Construct a data record from explicit fields and the audited defaults shown below.

This Lean definition constructs provenance or workflow data. It does not prove the mathematical statements stored as text. Status labels, named dependencies and citations are data, not compilation, proof or source certificates.

id : String (explicit)

Stable obligation identifier.

sald.general_moving_target_discrete.cycle152_em_generator_event_source_field_stdbasis_lower

statement : String (explicit)

Desired mathematical or workflow content as String; it is not a proposition in Prop and the def does not prove it.

Cycle 152 compiles SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqSourceFieldOfStdBasisFields for appendix.tex:984-995, appendix.tex:1368-1387, and appendix.tex:1379-1387. Classification: narrows-source-cited-boundary. Exact boundary narrowed: hemGeneratorLaplacianEventFieldEqSourceField is no longer primitive; it follows from two smaller source-facing standard-basis field definitions, hemGeneratorLaplacianEventFieldStdBasisDef for the named frozen EM Laplacian event field and hweakFpSourceFieldStdBasisDef for weakFpLaplacianSourceField. The packet is a direct equality leaf and does not add a total-event/source-functional consumer wrapper.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpSource — audited data reference, not expanded and not a compiled dependency edge

status : AutoSamplingTheory.ProofStatus (explicit)

Stored ProofStatus, default obligation; even an explicitly stored formalized does not independently certify a Lean theorem.

AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification

dependsOn : List String (explicit)

List of declared dependency names as strings; may mix theorem names, obligations, source labels, or descriptions. Not the compiled dependency DAG.

Ordered data items

1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqSourceFieldOfStdBasisFields
2. hemGeneratorLaplacianEventFieldStdBasisDef
3. hweakFpSourceFieldStdBasisDef
4. appendix.tex:984-995
5. appendix.tex:1368-1387
6. appendix.tex:1379-1387
7. sald.general_moving_target_discrete.em_interpolation_fp

note : String (explicit)

Recorded evidence/caveats; may distinguish a compiled scalar helper from still-open source analysis.

Dynamic-leaf worker packet in the EM conditional-law/state-event set-integral illness area. It targets only hemGeneratorLaplacianEventFieldEqSourceField after the cycle-151 lower_2 source-field split. No SLT file was consulted or imported; no Lake/toolchain change, theorem-status promotion, non-EM fallback, broad audit, downstream wrapper churn, fake closure, or sald_version_2.tex use.

def cycle152GeneralMovingTargetDiscreteEmGeneratorEventSourceFieldStdBasisLowerObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle152_em_generator_event_source_field_stdbasis_lower"
  statement := "Cycle 152 compiles SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqSourceFieldOfStdBasisFields for appendix.tex:984-995, appendix.tex:1368-1387, and appendix.tex:1379-1387. Classification: narrows-source-cited-boundary. Exact boundary narrowed: hemGeneratorLaplacianEventFieldEqSourceField is no longer primitive; it follows from two smaller source-facing standard-basis field definitions, hemGeneratorLaplacianEventFieldStdBasisDef for the named frozen EM Laplacian event field and hweakFpSourceFieldStdBasisDef for weakFpLaplacianSourceField. The packet is a direct equality leaf and does not add a total-event/source-functional consumer wrapper."
  source := saldGeneralMovingTargetDiscreteWeakFpSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqSourceFieldOfStdBasisFields",
    "hemGeneratorLaplacianEventFieldStdBasisDef",
    "hweakFpSourceFieldStdBasisDef",
    "appendix.tex:984-995",
    "appendix.tex:1368-1387",
    "appendix.tex:1379-1387",
    "sald.general_moving_target_discrete.em_interpolation_fp"
  ]
  note := "Dynamic-leaf worker packet in the EM conditional-law/state-event set-integral illness area. It targets only hemGeneratorLaplacianEventFieldEqSourceField after the cycle-151 lower_2 source-field split. No SLT file was consulted or imported; no Lake/toolchain change, theorem-status promotion, non-EM fallback, broad audit, downstream wrapper churn, fake closure, or sald_version_2.tex use."

/-- Cycle-152 lower_1 scout narrowing for the weak-FP source-field
standard-basis leaf exposed by the direct event/source equality split. -/