AutoSamplingTheory.SALD.cycle110GeneralMovingTargetDiscreteNamedBarBEqMeasMiddleObligation

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 cycle110GeneralMovingTargetDiscreteNamedBarBEqMeasMiddleObligation :
    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.cycle110_named_barB_eq_meas_middle

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 110 middle keeps the active EM conditional-law/Fokker-Planck backend over appendix.tex:1358-1387 narrowed to the selected named barB source representative at appendix.tex:1368-1377, because appendix.tex:1379-1387 weak-FP source signs consume that named drift. Classification: discharges-supplied-hypothesis. The compiled lower target removes the supplied hbarBEqMeas premise from SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpSourceDef under strongly measurable canonical and named barB representatives; the remaining exact source theorem is hbarBCondExp, the sample-space conditional-expectation representative equality.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalDriftSource — 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.generalMovingTargetDiscreteCondDistribNamedBarBEqMeasOfStronglyMeasurable
2. SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpSourceDef
3. SALD.cycle109GeneralMovingTargetDiscreteNamedBarBCondExpSourceLowerObligation
4. ASTIS.SALD.cycle109.remaining_condExp_source_representative_for_named_barB
5. appendix.tex:1368-1377
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.

Middle synchronization only plus a local measurable-set theorem. It rejects another named-law generator wrapper because cycle 104 already discharged that premise with lawMapIntegral helpers. It does not prove the conditional expectation representative, weak FP, box trace, KL/log-ratio, LSI, DV, Gronwall, theorem closure, SLT import, Lake dependency change, or sald_version_2 use.

def cycle110GeneralMovingTargetDiscreteNamedBarBEqMeasMiddleObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle110_named_barB_eq_meas_middle"
  statement := "Cycle 110 middle keeps the active EM conditional-law/Fokker-Planck backend over appendix.tex:1358-1387 narrowed to the selected named barB source representative at appendix.tex:1368-1377, because appendix.tex:1379-1387 weak-FP source signs consume that named drift. Classification: discharges-supplied-hypothesis. The compiled lower target removes the supplied hbarBEqMeas premise from SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpSourceDef under strongly measurable canonical and named barB representatives; the remaining exact source theorem is hbarBCondExp, the sample-space conditional-expectation representative equality."
  source := saldGeneralMovingTargetDiscreteConditionalDriftSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.generalMovingTargetDiscreteCondDistribNamedBarBEqMeasOfStronglyMeasurable",
    "SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpSourceDef",
    "SALD.cycle109GeneralMovingTargetDiscreteNamedBarBCondExpSourceLowerObligation",
    "ASTIS.SALD.cycle109.remaining_condExp_source_representative_for_named_barB",
    "appendix.tex:1368-1377",
    "appendix.tex:1379-1387",
    "sald.general_moving_target_discrete.em_interpolation_fp"
  ]
  note := "Middle synchronization only plus a local measurable-set theorem. It rejects another named-law generator wrapper because cycle 104 already discharged that premise with lawMapIntegral helpers. It does not prove the conditional expectation representative, weak FP, box trace, KL/log-ratio, LSI, DV, Gronwall, theorem closure, SLT import, Lake dependency change, or sald_version_2 use."

/-- Cycle-110 lower obligation for equality-set measurability of named `barB`. -/