AutoSamplingTheory.SALD.cycle49MainSkeletonAnalyticMiddleObligation

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 cycle49MainSkeletonAnalyticMiddleObligation : 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.main_skeleton.cycle49_middle_route_audit

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 49 middle synchronizes the post-route analytic readiness ledger with the theorem DAGs, proof-obligation ledger, and conversion window: Gronwall, DV, LSI/KL/FI, continuous Fokker-Planck/KL derivative, and EM interpolation Fokker-Planck remain explicit source-cited or obligation interfaces, all six theorem skeletons consume them without statement changes, and appendix.tex:1354-1387 remains the lower-ready discrete general EM endpoint/conditional-law/Fokker-Planck slice.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteDerivativeSource — 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.cycle49MainSkeletonAnalyticMiddleContract
2. SALD.cycle49MainSkeletonAnalyticReadinessObligation
3. SALD.cycle44MainSkeletonAnalyticInterfaceObligation
4. SALD.cycle45ForwardKlSkeletonMiddleObligation
5. SALD.cycle46DiscreteForwardKlSkeletonMiddleObligation
6. SALD.cycle47GuidedGeneralSkeletonMiddleObligation
7. SALD.cycle48UnifiedDiscreteSkeletonMiddleObligation
8. SALD.cycle48GeneralMovingTargetDiscreteEmEndpointFpAuditObligation
9. SALD.saldGronwallEndpointCalculusContract
10. dvVariationalFormulaInterface saldDvVariationSource
11. SALD.saldLsiKlFiDensityTestContract
12. SALD.forwardKlDerivativeSideConditionContract
13. SALD.generalMovingTargetDerivativeCandidateContract
14. SALD.discreteForwardKlEmInterpolationSideConditionContract
15. SALD.generalMovingTargetDiscreteDerivativeSideConditionContract
16. SALD.generalMovingTargetDiscreteEmEndpointLawPairHandoff
17. SALD.generalMovingTargetDiscreteEmEndpointLawPairOfNamedInterpolation
18. sald.general_moving_target_discrete.em_interpolation_fp
19. sald.general_moving_target_discrete.kl_derivative

note : String (explicit)

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

This is middle-role source-to-Lean synchronization, not an analytic proof. It adds no hidden assumptions to theorem statements and does not promote any Gronwall, DV, LSI, continuous derivative, conditional-law, or EM Fokker--Planck backend.

def cycle49MainSkeletonAnalyticMiddleObligation : ProofObligation where
  id := "sald.main_skeleton.cycle49_middle_route_audit"
  statement := "Cycle 49 middle synchronizes the post-route analytic readiness ledger with the theorem DAGs, proof-obligation ledger, and conversion window: Gronwall, DV, LSI/KL/FI, continuous Fokker-Planck/KL derivative, and EM interpolation Fokker-Planck remain explicit source-cited or obligation interfaces, all six theorem skeletons consume them without statement changes, and appendix.tex:1354-1387 remains the lower-ready discrete general EM endpoint/conditional-law/Fokker-Planck slice."
  source := saldGeneralMovingTargetDiscreteDerivativeSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle49MainSkeletonAnalyticMiddleContract",
    "SALD.cycle49MainSkeletonAnalyticReadinessObligation",
    "SALD.cycle44MainSkeletonAnalyticInterfaceObligation",
    "SALD.cycle45ForwardKlSkeletonMiddleObligation",
    "SALD.cycle46DiscreteForwardKlSkeletonMiddleObligation",
    "SALD.cycle47GuidedGeneralSkeletonMiddleObligation",
    "SALD.cycle48UnifiedDiscreteSkeletonMiddleObligation",
    "SALD.cycle48GeneralMovingTargetDiscreteEmEndpointFpAuditObligation",
    "SALD.saldGronwallEndpointCalculusContract",
    "dvVariationalFormulaInterface saldDvVariationSource",
    "SALD.saldLsiKlFiDensityTestContract",
    "SALD.forwardKlDerivativeSideConditionContract",
    "SALD.generalMovingTargetDerivativeCandidateContract",
    "SALD.discreteForwardKlEmInterpolationSideConditionContract",
    "SALD.generalMovingTargetDiscreteDerivativeSideConditionContract",
    "SALD.generalMovingTargetDiscreteEmEndpointLawPairHandoff",
    "SALD.generalMovingTargetDiscreteEmEndpointLawPairOfNamedInterpolation",
    "sald.general_moving_target_discrete.em_interpolation_fp",
    "sald.general_moving_target_discrete.kl_derivative"
  ]
  note := "This is middle-role source-to-Lean synchronization, not an analytic proof. It adds no hidden assumptions to theorem statements and does not promote any Gronwall, DV, LSI, continuous derivative, conditional-law, or EM Fokker--Planck backend."

/-- Cycle-49 proof-DAG pane for the post-route analytic readiness check. -/