AutoSamplingTheory.SALD.cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamLowerObligation

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 cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamLowerObligation :
    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.cycle118_canonical_barB_downstream_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 118 lower compiles SALD.generalMovingTargetDiscreteCanonicalBarBEmStateEventInterface for appendix.tex:1368-1387. Classification: narrows-source-cited-boundary. The exact boundary narrowed is ASTIS.SALD.cycle118.lower_ready.direct_canonical_barB_em_state_event_interface / ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq: the theorem existentially instantiates the EM state-event interface with barB equal to the canonical condDistrib guide-plus-score field and consumes SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib to return Integrable barB hatRhoS plus the state-event set-integral identity. A separate named barB remains only as the pointwise/canonical equality fallback.

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.generalMovingTargetDiscreteCanonicalBarBEmStateEventInterface
2. SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib
3. SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib
4. ASTIS.SALD.cycle118.lower_ready.direct_canonical_barB_em_state_event_interface
5. ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq
6. appendix.tex:1368-1377
7. appendix.tex:1379-1387
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.

Illness-area refiner lower packet. It uses the source-supported canonical representative directly and rejects another hbarBCondExp wrapper, broad route audit, non-EM fallback, SLT import, Lake change, theorem-status promotion, source-index rebaseline, or sald_version_2 content.

def cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamLowerObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle118_canonical_barB_downstream_lower"
  statement := "Cycle 118 lower compiles SALD.generalMovingTargetDiscreteCanonicalBarBEmStateEventInterface for appendix.tex:1368-1387. Classification: narrows-source-cited-boundary. The exact boundary narrowed is ASTIS.SALD.cycle118.lower_ready.direct_canonical_barB_em_state_event_interface / ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq: the theorem existentially instantiates the EM state-event interface with barB equal to the canonical condDistrib guide-plus-score field and consumes SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib to return Integrable barB hatRhoS plus the state-event set-integral identity. A separate named barB remains only as the pointwise/canonical equality fallback."
  source := saldGeneralMovingTargetDiscreteConditionalDriftSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.generalMovingTargetDiscreteCanonicalBarBEmStateEventInterface",
    "SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib",
    "SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib",
    "ASTIS.SALD.cycle118.lower_ready.direct_canonical_barB_em_state_event_interface",
    "ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq",
    "appendix.tex:1368-1377",
    "appendix.tex:1379-1387",
    "sald.general_moving_target_discrete.em_interpolation_fp"
  ]
  note := "Illness-area refiner lower packet. It uses the source-supported canonical representative directly and rejects another hbarBCondExp wrapper, broad route audit, non-EM fallback, SLT import, Lake change, theorem-status promotion, source-index rebaseline, or sald_version_2 content."

/-- Cycle-118 proof-DAG pane for the direct canonical `barB` downstream route. -/