AutoSamplingTheory.SALD.cycle67GuidedGeneralSkeletonObligation

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 cycle67GuidedGeneralSkeletonObligation : 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.guided_general.cycle67_upper_route

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 67 upper records that cycle 66 passed and then rewires appendix.tex:619-951 through the named guided/general theorem skeleton interfaces: prop:guided_path_residual uses the normalizer derivative and centered residual identity; thm:general-moving-target-SALD uses the continuous general KL derivative, LSI/KL/FI bridge, residual DV finite-log-mgf and positive-alpha witnesses, sigma-weighted Gronwall side conditions, and pure-contraction residual-zero obligation. The selected lower packet is the residual-to-Gronwall bridge over appendix.tex:765-945. The proposition and theorem remain contractOnly.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGeneralMovingTargetSource — 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.cycle67GuidedGeneralSkeletonUpperPacket
2. SALD.cycle66DiscreteForwardKlSkeletonMiddleObligation
3. SALD.cycle66DiscreteForwardKlAccumulatedDisplayLowerObligation
4. SALD.cycle64MainSkeletonAnalyticMiddleObligation
5. SALD.cycle62GuidedGeneralSkeletonMiddleObligation
6. SALD.cycle62GuidedGeneralScaledResidualLowerObligation
7. SALD.cycle57GuidedGeneralSkeletonMiddleObligation
8. SALD.cycle57GuidedGeneralDerivativeSplitLowerObligation
9. SALD.guidedResidualIdentityContract
10. sald.guided_path_residual.normalizer_derivative
11. sald.guided_path_residual.identity
12. SALD.generalMovingTargetStatementContract
13. SALD.generalMovingTargetDerivativeCandidateContract
14. SALD.generalMovingTargetDerivativeObligation
15. sald.general_moving_target.kl_derivative
16. SALD.generalMovingTargetKlDerivativeResidualSplitScalar
17. SALD.generalMovingTargetKlDerivativeScaledResidualDisplayScalar
18. SALD.generalMovingTargetKlDerivativePreDvBoundOfSplitScalar
19. SALD.saldLsiKlFiDensityTestContract
20. probability.lsi_to_kl_fi
21. dvVariationalFormulaInterface saldDvVariationSource
22. SALD.generalMovingTargetDvFiniteLogMgfWitnessContract
23. SALD.generalMovingTargetDvPositiveAlphaScalingContract
24. sald.general_moving_target.dv_finite_log_mgf_witness
25. sald.general_moving_target.dv_positive_alpha_scaling
26. sald.general_moving_target.dv_m_energy
27. SALD.generalMovingTargetGronwallInstantiationContract
28. SALD.generalMovingTargetGronwallSideConditionContract
29. sald.general_moving_target.gronwall_application
30. sald.general_moving_target.gronwall_side_conditions
31. sald.general_moving_target.pure_contraction
32. SALD.cycle67GuidedGeneralResidualGronwallBridgeObligation
33. SALD.unifiedForwardKlSpecializationContract
34. sald.unified_forward_kl.specialization
35. lem:gronwall
36. lem:dv_variation
37. eq:LSI-KL-FI
38. def:alpha-complexity

note : String (explicit)

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

Upper workflow obligation only. It adds no hidden hypotheses, proof replacement, theorem restatement, or backend promotion.

def cycle67GuidedGeneralSkeletonObligation : ProofObligation where
  id := "sald.guided_general.cycle67_upper_route"
  statement := "Cycle 67 upper records that cycle 66 passed and then rewires appendix.tex:619-951 through the named guided/general theorem skeleton interfaces: prop:guided_path_residual uses the normalizer derivative and centered residual identity; thm:general-moving-target-SALD uses the continuous general KL derivative, LSI/KL/FI bridge, residual DV finite-log-mgf and positive-alpha witnesses, sigma-weighted Gronwall side conditions, and pure-contraction residual-zero obligation. The selected lower packet is the residual-to-Gronwall bridge over appendix.tex:765-945. The proposition and theorem remain contractOnly."
  source := saldGeneralMovingTargetSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle67GuidedGeneralSkeletonUpperPacket",
    "SALD.cycle66DiscreteForwardKlSkeletonMiddleObligation",
    "SALD.cycle66DiscreteForwardKlAccumulatedDisplayLowerObligation",
    "SALD.cycle64MainSkeletonAnalyticMiddleObligation",
    "SALD.cycle62GuidedGeneralSkeletonMiddleObligation",
    "SALD.cycle62GuidedGeneralScaledResidualLowerObligation",
    "SALD.cycle57GuidedGeneralSkeletonMiddleObligation",
    "SALD.cycle57GuidedGeneralDerivativeSplitLowerObligation",
    "SALD.guidedResidualIdentityContract",
    "sald.guided_path_residual.normalizer_derivative",
    "sald.guided_path_residual.identity",
    "SALD.generalMovingTargetStatementContract",
    "SALD.generalMovingTargetDerivativeCandidateContract",
    "SALD.generalMovingTargetDerivativeObligation",
    "sald.general_moving_target.kl_derivative",
    "SALD.generalMovingTargetKlDerivativeResidualSplitScalar",
    "SALD.generalMovingTargetKlDerivativeScaledResidualDisplayScalar",
    "SALD.generalMovingTargetKlDerivativePreDvBoundOfSplitScalar",
    "SALD.saldLsiKlFiDensityTestContract",
    "probability.lsi_to_kl_fi",
    "dvVariationalFormulaInterface saldDvVariationSource",
    "SALD.generalMovingTargetDvFiniteLogMgfWitnessContract",
    "SALD.generalMovingTargetDvPositiveAlphaScalingContract",
    "sald.general_moving_target.dv_finite_log_mgf_witness",
    "sald.general_moving_target.dv_positive_alpha_scaling",
    "sald.general_moving_target.dv_m_energy",
    "SALD.generalMovingTargetGronwallInstantiationContract",
    "SALD.generalMovingTargetGronwallSideConditionContract",
    "sald.general_moving_target.gronwall_application",
    "sald.general_moving_target.gronwall_side_conditions",
    "sald.general_moving_target.pure_contraction",
    "SALD.cycle67GuidedGeneralResidualGronwallBridgeObligation",
    "SALD.unifiedForwardKlSpecializationContract",
    "sald.unified_forward_kl.specialization",
    "lem:gronwall",
    "lem:dv_variation",
    "eq:LSI-KL-FI",
    "def:alpha-complexity"
  ]
  note := "Upper workflow obligation only. It adds no hidden hypotheses, proof replacement, theorem restatement, or backend promotion."

/-- Cycle-67 middle audit for the guided residual and continuous general
moving-target theorem route.

This is the middle-role synchronization layer after the cycle-67 upper route.
It checks the source proof in order, records the named Lean-facing consumers,
and keeps proof-producing lower work on the residual-to-Gronwall bridge rather
than reopening theorem statements or promoting analytic backends.
-/