AutoSamplingTheory.SALD.cycle62GuidedGeneralSkeletonObligation

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 cycle62GuidedGeneralSkeletonObligation : 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.cycle62_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 62 upper records that cycle 61 passed and needs no recovery, defers cited-theory backfill until the guided/general route is synchronized, checks the five slow analytic backends, and wires appendix.tex:619-951 through the named guided residual and continuous general moving-target interfaces. prop:guided_path_residual uses the guided normalizer derivative and centered residual identity obligations; thm:general-moving-target-SALD uses the general Fokker-Planck/KL derivative, eq:LSI-KL-FI, residual DV finite-log-mgf and positive-alpha witnesses, lem:gronwall endpoint/exponent side conditions, and pure-contraction residual-zero obligation. The selected lower packet is the guided/general route audit that narrows later proof search to sald.general_moving_target.kl_derivative.

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.cycle62GuidedGeneralSkeletonUpperPacket
2. SALD.cycle61DiscreteForwardKlSkeletonObligation
3. SALD.cycle61DiscreteForwardKlSkeletonMiddleObligation
4. SALD.cycle61DiscreteForwardKlAccumulatedErrorLowerObligation
5. SALD.cycle60ForwardKlSkeletonObligation
6. SALD.cycle60ForwardKlSkeletonMiddleObligation
7. SALD.cycle59MainSkeletonAnalyticInterfaceObligation
8. SALD.cycle59MainSkeletonAnalyticMiddleObligation
9. SALD.cycle57GuidedGeneralSkeletonObligation
10. SALD.cycle57GuidedGeneralSkeletonMiddleObligation
11. SALD.cycle57GuidedGeneralDerivativeSplitLowerObligation
12. SALD.cycle52GuidedGeneralSkeletonObligation
13. SALD.cycle52GuidedGeneralSkeletonMiddleObligation
14. SALD.guidedResidualIdentityContract
15. sald.guided_path_residual.normalizer_derivative
16. sald.guided_path_residual.identity
17. SALD.generalMovingTargetStatementContract
18. SALD.generalMovingTargetDerivativeCandidateContract
19. SALD.generalMovingTargetDerivativeObligation
20. sald.general_moving_target.kl_derivative
21. SALD.generalMovingTargetPostYoungDerivativeBoundScalar
22. SALD.generalMovingTargetLsiDerivativeBoundScalar
23. SALD.generalMovingTargetTimeChangedDerivativeBoundScalar
24. SALD.generalMovingTargetPreDvDerivativeBoundScalar
25. SALD.saldLsiKlFiDensityTestContract
26. probability.lsi_to_kl_fi
27. dvVariationalFormulaInterface saldDvVariationSource
28. SALD.saldDvFiniteLogMgfContract
29. SALD.generalMovingTargetDvFiniteLogMgfWitnessContract
30. SALD.generalMovingTargetDvPositiveAlphaScalingContract
31. sald.general_moving_target.dv_finite_log_mgf_witness
32. sald.general_moving_target.dv_positive_alpha_scaling
33. sald.general_moving_target.dv_m_energy
34. SALD.saldGronwallEndpointCalculusContract
35. SALD.generalMovingTargetGronwallInstantiationContract
36. SALD.generalMovingTargetGronwallSideConditionContract
37. sald.general_moving_target.gronwall_application
38. sald.general_moving_target.gronwall_side_conditions
39. sald.general_moving_target.pure_contraction
40. SALD.unifiedForwardKlSpecializationContract
41. SALD.discreteForwardKlEmInterpolationSideConditionContract
42. SALD.generalMovingTargetDiscreteDerivativeSideConditionContract
43. SALD.cycle48GeneralMovingTargetDiscreteEmEndpointFpAuditObligation
44. sald.general_moving_target_discrete.em_interpolation_fp
45. thm:forward-KL
46. thm:forward-KL-discrete
47. thm:unified-forward-KL
48. thm:general-moving-target-SALD-discrete
49. lem:gronwall
50. lem:dv_variation
51. eq:LSI-KL-FI
52. def:alpha-complexity

note : String (explicit)

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

Upper workflow and source-to-Lean route data only. It adds no theorem hypotheses, changes no source constants, and does not promote guided residual calculus, Fokker-Planck/KL differentiation, LSI/KL/FI, DV, Gronwall, pure contraction, EM interpolation, SLT reuse, or theorem status.

def cycle62GuidedGeneralSkeletonObligation : ProofObligation where
  id := "sald.guided_general.cycle62_upper_route"
  statement := "Cycle 62 upper records that cycle 61 passed and needs no recovery, defers cited-theory backfill until the guided/general route is synchronized, checks the five slow analytic backends, and wires appendix.tex:619-951 through the named guided residual and continuous general moving-target interfaces. prop:guided_path_residual uses the guided normalizer derivative and centered residual identity obligations; thm:general-moving-target-SALD uses the general Fokker-Planck/KL derivative, eq:LSI-KL-FI, residual DV finite-log-mgf and positive-alpha witnesses, lem:gronwall endpoint/exponent side conditions, and pure-contraction residual-zero obligation. The selected lower packet is the guided/general route audit that narrows later proof search to sald.general_moving_target.kl_derivative."
  source := saldGeneralMovingTargetSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle62GuidedGeneralSkeletonUpperPacket",
    "SALD.cycle61DiscreteForwardKlSkeletonObligation",
    "SALD.cycle61DiscreteForwardKlSkeletonMiddleObligation",
    "SALD.cycle61DiscreteForwardKlAccumulatedErrorLowerObligation",
    "SALD.cycle60ForwardKlSkeletonObligation",
    "SALD.cycle60ForwardKlSkeletonMiddleObligation",
    "SALD.cycle59MainSkeletonAnalyticInterfaceObligation",
    "SALD.cycle59MainSkeletonAnalyticMiddleObligation",
    "SALD.cycle57GuidedGeneralSkeletonObligation",
    "SALD.cycle57GuidedGeneralSkeletonMiddleObligation",
    "SALD.cycle57GuidedGeneralDerivativeSplitLowerObligation",
    "SALD.cycle52GuidedGeneralSkeletonObligation",
    "SALD.cycle52GuidedGeneralSkeletonMiddleObligation",
    "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.generalMovingTargetPostYoungDerivativeBoundScalar",
    "SALD.generalMovingTargetLsiDerivativeBoundScalar",
    "SALD.generalMovingTargetTimeChangedDerivativeBoundScalar",
    "SALD.generalMovingTargetPreDvDerivativeBoundScalar",
    "SALD.saldLsiKlFiDensityTestContract",
    "probability.lsi_to_kl_fi",
    "dvVariationalFormulaInterface saldDvVariationSource",
    "SALD.saldDvFiniteLogMgfContract",
    "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.saldGronwallEndpointCalculusContract",
    "SALD.generalMovingTargetGronwallInstantiationContract",
    "SALD.generalMovingTargetGronwallSideConditionContract",
    "sald.general_moving_target.gronwall_application",
    "sald.general_moving_target.gronwall_side_conditions",
    "sald.general_moving_target.pure_contraction",
    "SALD.unifiedForwardKlSpecializationContract",
    "SALD.discreteForwardKlEmInterpolationSideConditionContract",
    "SALD.generalMovingTargetDiscreteDerivativeSideConditionContract",
    "SALD.cycle48GeneralMovingTargetDiscreteEmEndpointFpAuditObligation",
    "sald.general_moving_target_discrete.em_interpolation_fp",
    "thm:forward-KL",
    "thm:forward-KL-discrete",
    "thm:unified-forward-KL",
    "thm:general-moving-target-SALD-discrete",
    "lem:gronwall",
    "lem:dv_variation",
    "eq:LSI-KL-FI",
    "def:alpha-complexity"
  ]
  note := "Upper workflow and source-to-Lean route data only. It adds no theorem hypotheses, changes no source constants, and does not promote guided residual calculus, Fokker-Planck/KL differentiation, LSI/KL/FI, DV, Gronwall, pure contraction, EM interpolation, SLT reuse, or theorem status."

/-- Cycle-62 middle audit for the guided residual and continuous general
moving-target theorem route.

This synchronizes the upper route wrapper with the conversion window and
proof-obligation ledger.  It keeps the source route `appendix.tex:619-951`
fixed, checks that every proof step has a named Lean-facing consumer, and hands
later proof-producing work back to the continuous general KL derivative
backend.
-/