AutoSamplingTheory.SALD.cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionMiddleObligation

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 cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionMiddleObligation :
    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.cycle117_named_barB_version_selection_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 117 middle follows the refreshed blueprint illness area for appendix.tex:1368-1377. Classification: narrows-source-cited-boundary. It rejects another hbarBCondExp wrapper: cycle 116 already proves hbarBCondExp and the state-event interface for the canonical condDistrib guide-plus-score field. The exact lower-ready theorem is the paper-selected named barB version-selection boundary, hbarBAe: canonicalCondDistribBarB =ae[hatRhoS] barB, or a source-supported downstream instantiation of sald.general_moving_target_discrete.em_interpolation_fp with the canonical representative. This narrows ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp / ASTIS.SALD.cycle115.remaining_named_barB_condExp_source_representative to selected representative choice only; hbarBEqMeas remains available via cycle110 if a separate selected barB is retained.

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. ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp
2. ASTIS.SALD.cycle115.remaining_named_barB_condExp_source_representative
3. SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib
4. SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib
5. SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq
6. SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalAeEq
7. SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCondExpSourceDef
8. SALD.generalMovingTargetDiscreteCondDistribNamedBarBEqMeasOfStronglyMeasurable
9. appendix.tex:1368-1377
10. appendix.tex:1379-1387
11. 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.

Illness-area refiner packet. It narrows the remaining named barB boundary to the representative-selection theorem after the canonical hbarBCondExp proof; it does not add a broad wrapper, route audit, SLT import, Lake change, theorem-status promotion, weak-FP/KL proof, source-index rebaseline, or sald_version_2 content.

def cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionMiddleObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle117_named_barB_version_selection_middle"
  statement := "Cycle 117 middle follows the refreshed blueprint illness area for appendix.tex:1368-1377. Classification: narrows-source-cited-boundary. It rejects another hbarBCondExp wrapper: cycle 116 already proves hbarBCondExp and the state-event interface for the canonical condDistrib guide-plus-score field. The exact lower-ready theorem is the paper-selected named barB version-selection boundary, hbarBAe: canonicalCondDistribBarB =ae[hatRhoS] barB, or a source-supported downstream instantiation of sald.general_moving_target_discrete.em_interpolation_fp with the canonical representative. This narrows ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp / ASTIS.SALD.cycle115.remaining_named_barB_condExp_source_representative to selected representative choice only; hbarBEqMeas remains available via cycle110 if a separate selected barB is retained."
  source := saldGeneralMovingTargetDiscreteConditionalDriftSource
  status := ProofStatus.obligation
  dependsOn := [
    "ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp",
    "ASTIS.SALD.cycle115.remaining_named_barB_condExp_source_representative",
    "SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib",
    "SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib",
    "SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq",
    "SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalAeEq",
    "SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCondExpSourceDef",
    "SALD.generalMovingTargetDiscreteCondDistribNamedBarBEqMeasOfStronglyMeasurable",
    "appendix.tex:1368-1377",
    "appendix.tex:1379-1387",
    "sald.general_moving_target_discrete.em_interpolation_fp"
  ]
  note := "Illness-area refiner packet. It narrows the remaining named barB boundary to the representative-selection theorem after the canonical hbarBCondExp proof; it does not add a broad wrapper, route audit, SLT import, Lake change, theorem-status promotion, weak-FP/KL proof, source-index rebaseline, or sald_version_2 content."

/-- Cycle-117 lower obligation for the source-supported pointwise canonical
representative choice.

The lower packet compiles the bridge from the source's pointwise definition of
`\bar b_{k,s}` as the canonical conditional-distribution guide-plus-score field
to the downstream state-event package.  This is a canonical-representative
instantiation of the selected-version boundary, not another `hbarBCondExp`
wrapper.
-/