AutoSamplingTheory.SALD.cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorUpperObligation

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 cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorUpperObligation :
    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.cycle78_kl_derivative_generator_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 78 upper records that cycle 77 passed reviewer/build and needs no recovery, confirms that Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill, and keeps the active packet on sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387. The selected lower work is the KL-derivative handoff from the cycle-77 generator-level weak FP source signs: compose supplied generator/time-derivative, generator split, drift source action, diffusion source action, and sigmaCoeff=sigma_eta^2/2 hypotheses with eq:general_KL_derivative_0_discrete at the admissible log-ratio test.

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.cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorUpperPacket
2. SALD.cycle77GeneralMovingTargetDiscreteWeakFpGeneratorLowerObligation
3. SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffContract
4. SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfSourceSigns
5. SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfGeneratorPieces
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 cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorUpperObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle78_kl_derivative_generator_upper"
  statement := "Cycle 78 upper records that cycle 77 passed reviewer/build and needs no recovery, confirms that Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill, and keeps the active packet on sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387. The selected lower work is the KL-derivative handoff from the cycle-77 generator-level weak FP source signs: compose supplied generator/time-derivative, generator split, drift source action, diffusion source action, and sigmaCoeff=sigma_eta^2/2 hypotheses with eq:general_KL_derivative_0_discrete at the admissible log-ratio test."
  source := saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorUpperPacket",
    "SALD.cycle77GeneralMovingTargetDiscreteWeakFpGeneratorLowerObligation",
    "SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffContract",
    "SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfSourceSigns",
    "SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfGeneratorPieces",
    "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-78 middle obligation for the source-to-Lean KL handoff map. -/