Samplinglib
Lean gate not recorded for this source state main · 0e31a3cda412

AutoSamplingTheory.SALD.cycle69MainSkeletonAnalyticInterfaceObligation

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.

Lean statement of this data definition

The part after the colon is the output data type. This declaration takes no mathematical proof inputs.

def cycle69MainSkeletonAnalyticInterfaceObligation : 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.cycle69_analytic_interface_ledger
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 69 upper records that cycle 68 passed and needs no recovery, that Phase 1 theorem-skeleton translation is stable enough for a post-route analytic-interface ledger but only one narrow backend backfill, and that the five slow analytic interfaces remain precise source-cited or obligation-level interfaces wired through thm:forward-KL, thm:forward-KL-discrete, prop:guided_path_residual, thm:general-moving-target-SALD, thm:unified-forward-KL, and thm:general-moving-target-SALD-discrete. The selected lower packet is the shared EM interpolation conditional-law/Fokker-Planck backend over appendix.tex:1358-1387.
source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteSource — 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.cycle69MainSkeletonAnalyticInterfaceLedger
  2. SALD.cycle68UnifiedDiscreteGeneralSkeletonMiddleObligation
  3. SALD.cycle68UnifiedDiscreteGeneralDiscreteBridgeLowerObligation
  4. SALD.cycle67GuidedGeneralSkeletonMiddleObligation
  5. SALD.cycle66DiscreteForwardKlSkeletonMiddleObligation
  6. SALD.cycle65ForwardKlSkeletonMiddleObligation
  7. SALD.cycle64MainSkeletonAnalyticInterfaceObligation
  8. SALD.saldGronwallCandidateContract
  9. SALD.saldGronwallEndpointCalculusContract
  10. SALD.saldGronwallExponentRewriteContract
  11. dvVariationalFormulaInterface saldDvVariationSource
  12. SALD.saldDvFiniteLogMgfContract
  13. SALD.saldLsiKlFiDensityTestContract
  14. probability.lsi_to_kl_fi
  15. SALD.forwardKlDerivativeCandidateContract
  16. SALD.forwardKlDerivativeSideConditionContract
  17. SALD.generalMovingTargetDerivativeCandidateContract
  18. SALD.discreteForwardKlEmInterpolationSideConditionContract
  19. SALD.generalMovingTargetDiscreteDerivativeSideConditionContract
  20. SALD.cycle48GeneralMovingTargetDiscreteEmEndpointFpAuditObligation
  21. SALD.generalMovingTargetDiscreteConditionalDriftContract
  22. sald.general_moving_target_discrete.em_interpolation_fp
  23. lem:gronwall
  24. lem:dv_variation
  25. eq:LSI-KL-FI
note : String (explicit)

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

Upper workflow obligation only. It adds no theorem hypotheses and does not promote Gronwall, DV, LSI/KL/FI, continuous Fokker-Planck/KL differentiation, EM conditional Fokker-Planck, theorem contracts, or SLT reuse status.
Exact Lean data construction

Each field assignment stores the corresponding value shown above. Omitted fields use the explicitly identified schema defaults. Strings that name theorems remain strings; they do not call those theorems.

def cycle69MainSkeletonAnalyticInterfaceObligation : ProofObligation where
  id := "sald.main_skeleton.cycle69_analytic_interface_ledger"
  statement := "Cycle 69 upper records that cycle 68 passed and needs no recovery, that Phase 1 theorem-skeleton translation is stable enough for a post-route analytic-interface ledger but only one narrow backend backfill, and that the five slow analytic interfaces remain precise source-cited or obligation-level interfaces wired through thm:forward-KL, thm:forward-KL-discrete, prop:guided_path_residual, thm:general-moving-target-SALD, thm:unified-forward-KL, and thm:general-moving-target-SALD-discrete. The selected lower packet is the shared EM interpolation conditional-law/Fokker-Planck backend over appendix.tex:1358-1387."
  source := saldGeneralMovingTargetDiscreteSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle69MainSkeletonAnalyticInterfaceLedger",
    "SALD.cycle68UnifiedDiscreteGeneralSkeletonMiddleObligation",
    "SALD.cycle68UnifiedDiscreteGeneralDiscreteBridgeLowerObligation",
    "SALD.cycle67GuidedGeneralSkeletonMiddleObligation",
    "SALD.cycle66DiscreteForwardKlSkeletonMiddleObligation",
    "SALD.cycle65ForwardKlSkeletonMiddleObligation",
    "SALD.cycle64MainSkeletonAnalyticInterfaceObligation",
    "SALD.saldGronwallCandidateContract",
    "SALD.saldGronwallEndpointCalculusContract",
    "SALD.saldGronwallExponentRewriteContract",
    "dvVariationalFormulaInterface saldDvVariationSource",
    "SALD.saldDvFiniteLogMgfContract",
    "SALD.saldLsiKlFiDensityTestContract",
    "probability.lsi_to_kl_fi",
    "SALD.forwardKlDerivativeCandidateContract",
    "SALD.forwardKlDerivativeSideConditionContract",
    "SALD.generalMovingTargetDerivativeCandidateContract",
    "SALD.discreteForwardKlEmInterpolationSideConditionContract",
    "SALD.generalMovingTargetDiscreteDerivativeSideConditionContract",
    "SALD.cycle48GeneralMovingTargetDiscreteEmEndpointFpAuditObligation",
    "SALD.generalMovingTargetDiscreteConditionalDriftContract",
    "sald.general_moving_target_discrete.em_interpolation_fp",
    "lem:gronwall",
    "lem:dv_variation",
    "eq:LSI-KL-FI"
  ]
  note := "Upper workflow obligation only. It adds no theorem hypotheses and does not promote Gronwall, DV, LSI/KL/FI, continuous Fokker-Planck/KL differentiation, EM conditional Fokker-Planck, theorem contracts, or SLT reuse status."

/-- Cycle-69 middle audit for the post-route analytic-interface ledger.

This synchronizes the upper ledger with the source transcript after all six
theorem skeletons have been wired.  It keeps the selected lower packet on the
shared Euler--Maruyama interpolation conditional-law/Fokker--Planck backend.
-/

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