AutoSamplingTheory.SALD.cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpUpperObligation

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 cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpUpperObligation :
    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.cycle73_kl_derivative_weak_fp_upper

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 73 upper records no recovery after the accepted cycle-72 weak-FP source-sign packet, confirms Phase 1 theorem-skeleton translation is stable enough for continued single-backend backfill, and selects exactly the KL-derivative handoff from the supplied weak conditional Fokker-Planck identity over appendix.tex:1358-1387. The packet stays inside sald.general_moving_target_discrete.em_interpolation_fp and does not promote weak FP, log-ratio admissibility, density/AC, integration by parts, LSI, DV, Gronwall, or theorem status.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource — 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.cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpUpperPacket
2. SALD.cycle72GeneralMovingTargetDiscreteWeakFpMiddleObligation
3. SALD.cycle72GeneralMovingTargetDiscreteWeakFpLowerObligation
4. SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffContract
5. SALD.generalMovingTargetDiscreteDerivativeSideConditionContract
6. sald.general_moving_target_discrete.em_interpolation_fp
7. sald.general_moving_target_discrete.kl_derivative

note : String (explicit)

Recorded evidence/caveats; may distinguish a compiled scalar helper from still-open source analysis.

Upper workflow obligation only. It fixes the lower packet and status discipline; it adds no theorem assumptions and proves no analytic backend.

def cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpUpperObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle73_kl_derivative_weak_fp_upper"
  statement := "Cycle 73 upper records no recovery after the accepted cycle-72 weak-FP source-sign packet, confirms Phase 1 theorem-skeleton translation is stable enough for continued single-backend backfill, and selects exactly the KL-derivative handoff from the supplied weak conditional Fokker-Planck identity over appendix.tex:1358-1387. The packet stays inside sald.general_moving_target_discrete.em_interpolation_fp and does not promote weak FP, log-ratio admissibility, density/AC, integration by parts, LSI, DV, Gronwall, or theorem status."
  source := saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpUpperPacket",
    "SALD.cycle72GeneralMovingTargetDiscreteWeakFpMiddleObligation",
    "SALD.cycle72GeneralMovingTargetDiscreteWeakFpLowerObligation",
    "SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffContract",
    "SALD.generalMovingTargetDiscreteDerivativeSideConditionContract",
    "sald.general_moving_target_discrete.em_interpolation_fp",
    "sald.general_moving_target_discrete.kl_derivative"
  ]
  note := "Upper workflow obligation only. It fixes the lower packet and status discipline; it adds no theorem assumptions and proves no analytic backend."

/-- Cycle-73 middle obligation for the weak-FP-to-KL derivative source map. -/