AutoSamplingTheory.SALD.cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamMiddleObligation

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 cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamMiddleObligation :
    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_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 118 middle follows the refreshed blueprint illness area for appendix.tex:1368-1387. Classification: narrows-source-cited-boundary. Exact boundary narrowed: ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq / ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp is now the direct downstream canonical representative instantiation: choose barB to be the canonical condDistrib guide-plus-score field in sald.general_moving_target_discrete.em_interpolation_fp and consume SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib. A separately retained named barB still has only the pointwise/canonical equality fallback handled by SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq. Another hbarBCondExp wrapper is rejected because SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib already proves the canonical representative case.

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.cycle117.lower_ready.selected_named_barB_canonical_ae_eq
2. ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp
3. SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib
4. SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib
5. SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq
6. SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalAeEq
7. ProbabilityTheory.condExp_prod_ae_eq_integral_condDistrib'
8. MeasureTheory.setIntegral_condExp
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 active barB representative boundary to direct canonical downstream instantiation of the EM state-event interface; it does not add a wrapper around hbarBCondExp, a route audit, a non-EM fallback, a theorem-status promotion, a Lake change, an SLT import, a source-index rebaseline, or sald_version_2 content.

def cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamMiddleObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle118_canonical_barB_downstream_middle"
  statement := "Cycle 118 middle follows the refreshed blueprint illness area for appendix.tex:1368-1387. Classification: narrows-source-cited-boundary. Exact boundary narrowed: ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq / ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp is now the direct downstream canonical representative instantiation: choose barB to be the canonical condDistrib guide-plus-score field in sald.general_moving_target_discrete.em_interpolation_fp and consume SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib. A separately retained named barB still has only the pointwise/canonical equality fallback handled by SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq. Another hbarBCondExp wrapper is rejected because SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib already proves the canonical representative case."
  source := saldGeneralMovingTargetDiscreteConditionalDriftSource
  status := ProofStatus.obligation
  dependsOn := [
    "ASTIS.SALD.cycle117.lower_ready.selected_named_barB_canonical_ae_eq",
    "ASTIS.SALD.cycle116.remaining_named_barB_selected_version_after_canonical_condExp",
    "SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib",
    "SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib",
    "SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq",
    "SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalAeEq",
    "ProbabilityTheory.condExp_prod_ae_eq_integral_condDistrib'",
    "MeasureTheory.setIntegral_condExp",
    "appendix.tex:1368-1377",
    "appendix.tex:1379-1387",
    "sald.general_moving_target_discrete.em_interpolation_fp"
  ]
  note := "Illness-area refiner packet. It narrows the active barB representative boundary to direct canonical downstream instantiation of the EM state-event interface; it does not add a wrapper around hbarBCondExp, a route audit, a non-EM fallback, a theorem-status promotion, a Lake change, an SLT import, a source-index rebaseline, or sald_version_2 content."

/-- Cycle-118 lower obligation for the direct canonical EM state-event
interface.

This lower packet compiles the concrete representative handoff requested by
the refreshed illness area: the downstream interface may take `barB` to be the
canonical conditional-distribution guide-plus-score field, with integrability
and all source-facing state-event set integrals supplied by the canonical
package.
-/