AutoSamplingTheory.SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperObligation

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 cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperObligation :
    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.cycle84_active_em_backend_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 84 upper records that cycle 83 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 lower packet on sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387. Because cycle 83 compiled a proof-producing endpoint weak-FP to KL derivative handoff, the minimal cited Mathlib/measure interface is not selected by default; lower should first consolidate the cycle-80 to cycle-83 endpoint/conditional readiness, source-sign, and log-ratio KL handoffs. A fallback interface is allowed only after a concrete block and must name one missing conditional-law or weak-FP theorem boundary below formalized 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.cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperPacket
2. SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation
3. SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalLowerObligation
4. SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsLowerObligation
5. SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpLowerObligation
6. SALD.generalMovingTargetDiscreteEndpointConditionalWeakFpSourceSignsHandoff
7. SALD.generalMovingTargetDiscreteEndpointConditionalKlDerivativeWeakFpHandoff
8. SALD.generalMovingTargetDiscreteEndpointConditionalKlDerivativeWeakFpHandoffWithLogAction
9. SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureInterface
10. sald.general_moving_target_discrete.em_interpolation_fp
11. 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 selects the next lower packet and fallback discipline; it proves no new analytic backend and promotes no theorem, SLT, or Lake status.

def cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle84_active_em_backend_upper"
  statement := "Cycle 84 upper records that cycle 83 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 lower packet on sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387. Because cycle 83 compiled a proof-producing endpoint weak-FP to KL derivative handoff, the minimal cited Mathlib/measure interface is not selected by default; lower should first consolidate the cycle-80 to cycle-83 endpoint/conditional readiness, source-sign, and log-ratio KL handoffs. A fallback interface is allowed only after a concrete block and must name one missing conditional-law or weak-FP theorem boundary below formalized status."
  source := saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperPacket",
    "SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation",
    "SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalLowerObligation",
    "SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsLowerObligation",
    "SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpLowerObligation",
    "SALD.generalMovingTargetDiscreteEndpointConditionalWeakFpSourceSignsHandoff",
    "SALD.generalMovingTargetDiscreteEndpointConditionalKlDerivativeWeakFpHandoff",
    "SALD.generalMovingTargetDiscreteEndpointConditionalKlDerivativeWeakFpHandoffWithLogAction",
    "SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureInterface",
    "sald.general_moving_target_discrete.em_interpolation_fp",
    "sald.general_moving_target_discrete.kl_derivative"
  ]
  note := "Upper workflow obligation only. It selects the next lower packet and fallback discipline; it proves no new analytic backend and promotes no theorem, SLT, or Lake status."

/-- Cycle-84 middle obligation for the active EM-backend source map. -/