AutoSamplingTheory.SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalUpperObligation

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 cycle81GeneralMovingTargetDiscreteEndpointConditionalUpperObligation :
    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.cycle81_endpoint_conditional_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 81 upper records that cycle 80 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. The selected lower packet is endpoint-law-to-conditional-law compatibility at appendix.tex:1368-1377: connect endpoint Measure.map laws and the named hat rho_s marginal to the conditional-kernel orientation used by the conditional-law/measurability interface and the cycle-80 supplied drift-regularity handoff.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource — 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.cycle81GeneralMovingTargetDiscreteEndpointConditionalUpperPacket
2. SALD.generalMovingTargetDiscreteEndpointConditionalCompatibilityContract
3. SALD.generalMovingTargetDiscreteHatRhoMarginalOfJointMap
4. SALD.generalMovingTargetDiscreteEndpointMeasureMapToConditionalCompatibility
5. SALD.cycle71GeneralMovingTargetDiscreteEndpointConditionalLowerObligation
6. SALD.cycle76GeneralMovingTargetDiscreteEndpointConditionalLowerObligation
7. SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface
8. SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillLowerObligation
9. SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation
10. SALD.generalMovingTargetDiscreteEndpointConditionalDriftRegularityHandoff
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.

Upper workflow obligation only. It selects the endpoint-to-conditional lower packet and status discipline; it proves no conditional law, condDistrib, condExpKernel, weak Fokker-Planck theorem, generator theorem, KL derivative, or theorem closure.

def cycle81GeneralMovingTargetDiscreteEndpointConditionalUpperObligation :
    ProofObligation where
  id := "sald.general_moving_target_discrete.cycle81_endpoint_conditional_upper"
  statement := "Cycle 81 upper records that cycle 80 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. The selected lower packet is endpoint-law-to-conditional-law compatibility at appendix.tex:1368-1377: connect endpoint Measure.map laws and the named hat rho_s marginal to the conditional-kernel orientation used by the conditional-law/measurability interface and the cycle-80 supplied drift-regularity handoff."
  source := saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalUpperPacket",
    "SALD.generalMovingTargetDiscreteEndpointConditionalCompatibilityContract",
    "SALD.generalMovingTargetDiscreteHatRhoMarginalOfJointMap",
    "SALD.generalMovingTargetDiscreteEndpointMeasureMapToConditionalCompatibility",
    "SALD.cycle71GeneralMovingTargetDiscreteEndpointConditionalLowerObligation",
    "SALD.cycle76GeneralMovingTargetDiscreteEndpointConditionalLowerObligation",
    "SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface",
    "SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillLowerObligation",
    "SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation",
    "SALD.generalMovingTargetDiscreteEndpointConditionalDriftRegularityHandoff",
    "sald.general_moving_target_discrete.em_interpolation_fp"
  ]
  note := "Upper workflow obligation only. It selects the endpoint-to-conditional lower packet and status discipline; it proves no conditional law, condDistrib, condExpKernel, weak Fokker-Planck theorem, generator theorem, KL derivative, or theorem closure."

/-- Cycle-81 middle obligation for the endpoint-to-conditional weak-FP
readiness handoff. -/