AutoSamplingTheory.SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityUpperObligation

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 cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityUpperObligation :
    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.cycle80_conditional_law_upper

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 80 upper records that cycle 79 passed reviewer/build and needs no recovery, confirms that Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill, and keeps the active packet on sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387. The selected lower packet is the conditional-law/measurability and named conditional drift interface at appendix.tex:1368-1377, because the weak generator-to-law theorem exposed in cycle 79 still depends on the regular conditional kernel, named hat rho_s marginal, component conditional-integral fields, and measurability/integrability of bar b_{k,s}.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteDerivativeSource — 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.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityUpperPacket
2. SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface
3. SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillMiddleObligation
4. SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillLowerObligation
5. SALD.generalMovingTargetDiscreteConditionalLawMeasurabilityContract
6. SALD.generalMovingTargetDiscreteConditionalDriftContract
7. SALD.generalMovingTargetDiscreteNamedConditionalDriftComponents
8. SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureInterface
9. 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.

Upper workflow obligation only. It selects the next lower packet and status discipline; it adds no theorem assumptions, imports no SLT/Mathlib module, and proves no conditional law, weak Fokker-Planck theorem, generator theorem, KL derivative, or theorem closure.

def cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityUpperObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle80_conditional_law_upper"
  statement := "Cycle 80 upper records that cycle 79 passed reviewer/build and needs no recovery, confirms that Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill, and keeps the active packet on sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387. The selected lower packet is the conditional-law/measurability and named conditional drift interface at appendix.tex:1368-1377, because the weak generator-to-law theorem exposed in cycle 79 still depends on the regular conditional kernel, named hat rho_s marginal, component conditional-integral fields, and measurability/integrability of bar b_{k,s}."
  source := saldGeneralMovingTargetDiscreteDerivativeSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityUpperPacket",
    "SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface",
    "SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillMiddleObligation",
    "SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillLowerObligation",
    "SALD.generalMovingTargetDiscreteConditionalLawMeasurabilityContract",
    "SALD.generalMovingTargetDiscreteConditionalDriftContract",
    "SALD.generalMovingTargetDiscreteNamedConditionalDriftComponents",
    "SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureInterface",
    "sald.general_moving_target_discrete.em_interpolation_fp"
  ]
  note := "Upper workflow obligation only. It selects the next lower packet and status discipline; it adds no theorem assumptions, imports no SLT/Mathlib module, and proves no conditional law, weak Fokker-Planck theorem, generator theorem, KL derivative, or theorem closure."

/-- Cycle-80 middle source-to-Lean map for the EM conditional-law interface.

This records the exact theorem boundary still missing after cycles 74, 75, and
79: the regular conditional kernel for `X_k^eta | hat X_s=x`, the named
`hat rho_s` marginal, vector-valued conditional integral fields for the two
frozen drift summands, and measurability/integrability of the selected
`bar b_{k,s}` field.  It is a lower-ready obligation, not a disintegration or
weak Fokker--Planck proof.
-/