AutoSamplingTheory.SALD.cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionLowerObligation

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 cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionLowerObligation :
    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_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 117 lower compiles SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq for appendix.tex:1368-1377. Classification: narrows-source-cited-boundary. The exact boundary narrowed is ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq / ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp: if the paper-selected barB is chosen pointwise as the canonical condDistrib guide-plus-score field, then hbarBAe is discharged by a.e. reflexivity and the existing cycle-115 selected-version bridge returns Integrable barB hatRhoS plus the source state-event set-integral identity. Remaining exact source choice: either use this canonical representative downstream in the EM weak-FP route, or, if a separate named version is retained, prove the pointwise/canonical equality for that version.

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.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq
2. SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalAeEq
3. SALD.generalMovingTargetDiscreteCondDistribNamedDriftRegularityOfCanonicalAeEq
4. SALD.generalMovingTargetDiscreteCanonicalBarBStateSetIntegralOfCondDistrib
5. ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq
6. ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp
7. appendix.tex:1368-1377
8. 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 lower packet inside the refreshed illness area. It proves only the pointwise canonical-representative handoff for barB version selection; it does not prove weak FP, KL derivative, LSI, DV, Gronwall, theorem closure, SLT reuse, Lake changes, source-index rebaseline, broad route audit, wrapper churn, or sald_version_2 content.

def cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionLowerObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle117_named_barB_version_selection_lower"
  statement := "Cycle 117 lower compiles SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq for appendix.tex:1368-1377. Classification: narrows-source-cited-boundary. The exact boundary narrowed is ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq / ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp: if the paper-selected barB is chosen pointwise as the canonical condDistrib guide-plus-score field, then hbarBAe is discharged by a.e. reflexivity and the existing cycle-115 selected-version bridge returns Integrable barB hatRhoS plus the source state-event set-integral identity. Remaining exact source choice: either use this canonical representative downstream in the EM weak-FP route, or, if a separate named version is retained, prove the pointwise/canonical equality for that version."
  source := saldGeneralMovingTargetDiscreteConditionalDriftSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq",
    "SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalAeEq",
    "SALD.generalMovingTargetDiscreteCondDistribNamedDriftRegularityOfCanonicalAeEq",
    "SALD.generalMovingTargetDiscreteCanonicalBarBStateSetIntegralOfCondDistrib",
    "ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq",
    "ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp",
    "appendix.tex:1368-1377",
    "sald.general_moving_target_discrete.em_interpolation_fp"
  ]
  note := "Dynamic-leaf lower packet inside the refreshed illness area. It proves only the pointwise canonical-representative handoff for barB version selection; it does not prove weak FP, KL derivative, LSI, DV, Gronwall, theorem closure, SLT reuse, Lake changes, source-index rebaseline, broad route audit, wrapper churn, or sald_version_2 content."

/-- Cycle-117 proof-DAG pane for the selected paper `barB` version boundary. -/