AutoSamplingTheory.SALD.cycle44MainSkeletonAnalyticInterfaceObligation

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 cycle44MainSkeletonAnalyticInterfaceObligation : 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.cycle44_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 44 upper records the main-skeleton analytic interface ledger: Gronwall endpoint-safe differentiability/FTC, Donsker-Varadhan common-space and finite-log-mgf, LSI/KL/FI density-test and Fisher-chain, continuous forward-KL Fokker-Planck/KL derivative, and EM interpolation endpoint/conditional-law Fokker-Planck are explicit source-cited or obligation interfaces before the theorem route is 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.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldForwardKlProofSource — 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

SALD.cycle44MainSkeletonAnalyticInterfaceLedger
SALD.saldGronwallCandidateContract
SALD.saldGronwallEndpointCalculusContract
SALD.saldGronwallExponentRewriteContract
dvVariationalFormulaInterface saldDvVariationSource
SALD.saldDvFiniteLogMgfContract
SALD.saldLsiKlFiDensityTestContract
SALD.forwardKlDerivativeCandidateContract
SALD.forwardKlDerivativeSideConditionContract
SALD.discreteForwardKlEmInterpolationSideConditionContract
SALD.generalMovingTargetDiscreteDerivativeSideConditionContract
SALD.forwardKlProofDag
SALD.discreteForwardKlProofDag
SALD.generalVaSaldProofDag
SALD.generalVaSaldDiscreteProofDag

note : String (explicit)

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

This is an upper-role route ledger, not a new analytic proof. It deliberately leaves unproved backends as obligation or sourceCited and does not promote any theorem skeleton to formalized 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 cycle44MainSkeletonAnalyticInterfaceObligation : ProofObligation where
  id := "sald.main_skeleton.cycle44_analytic_interface_ledger"
  statement := "Cycle 44 upper records the main-skeleton analytic interface ledger: Gronwall endpoint-safe differentiability/FTC, Donsker-Varadhan common-space and finite-log-mgf, LSI/KL/FI density-test and Fisher-chain, continuous forward-KL Fokker-Planck/KL derivative, and EM interpolation endpoint/conditional-law Fokker-Planck are explicit source-cited or obligation interfaces before the theorem route is 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."
  source := saldForwardKlProofSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle44MainSkeletonAnalyticInterfaceLedger",
    "SALD.saldGronwallCandidateContract",
    "SALD.saldGronwallEndpointCalculusContract",
    "SALD.saldGronwallExponentRewriteContract",
    "dvVariationalFormulaInterface saldDvVariationSource",
    "SALD.saldDvFiniteLogMgfContract",
    "SALD.saldLsiKlFiDensityTestContract",
    "SALD.forwardKlDerivativeCandidateContract",
    "SALD.forwardKlDerivativeSideConditionContract",
    "SALD.discreteForwardKlEmInterpolationSideConditionContract",
    "SALD.generalMovingTargetDiscreteDerivativeSideConditionContract",
    "SALD.forwardKlProofDag",
    "SALD.discreteForwardKlProofDag",
    "SALD.generalVaSaldProofDag",
    "SALD.generalVaSaldDiscreteProofDag"
  ]
  note := "This is an upper-role route ledger, not a new analytic proof. It deliberately leaves unproved backends as obligation or sourceCited and does not promote any theorem skeleton to formalized status."

/-- Cycle-44 proof-DAG pane for the five analytic interfaces and theorem route. -/

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