AutoSamplingTheory.SALD.cycle46DiscreteForwardKlSkeletonDag

Data definition / provenance and workflow record

Meaning and type

The result has data type List AutoSamplingTheory.ProofDagBlock. 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 cycle46DiscreteForwardKlSkeletonDag : List ProofDagBlock

Construction and field-by-field explanation

Construct an ordered list of the following data items. It is not a logical conjunction or proof DAG.

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.

Ordered data items

id : String (explicit)
Stable plan-node identifier.
ASTIS.SALD.forward_KL_discrete.cycle46_theorem_skeleton_route
interface : String (explicit)
Text describing intended mathematical interface.
Discrete forward-KL theorem-level route: statement, EM endpoint/conditional-FP backend, KL derivative with frozen defect and LSI, DV velocity witness, Gronwall accumulation, and linear-slowdown accumulated-error bridge compose to the exact main_body.tex:309-323 display.
source : AutoSamplingTheory.SourceAnchor (explicit)
Source pointer.
AutoSamplingTheory.SALD.saldForwardKlDiscreteProofSource — audited data reference, not expanded and not a compiled dependency edge
targetLean : String (explicit)
Textual planned implementation destination.
AutoSamplingTheory/SALD.lean
dependsOn : List String (explicit)
Declared input names as strings, default empty.
Ordered data items
1. SALD.cycle46DiscreteForwardKlSkeletonUpperPacket
2. SALD.cycle46DiscreteForwardKlSkeletonObligation
3. SALD.cycle46DiscreteForwardKlSkeletonMiddleContract
4. SALD.cycle46DiscreteForwardKlSkeletonMiddleObligation
5. SALD.discreteForwardKlStatementContract
6. SALD.discreteForwardKlEmInterpolationSideConditionContract
7. SALD.discreteForwardKlDerivativeCandidateContract
8. SALD.frozenDeltaCrossLipSaldContract
9. SALD.discreteForwardKlDvFiniteLogMgfWitnessContract
10. SALD.discreteForwardKlGronwallInstantiationContract
11. SALD.discreteForwardKlAccumulatedErrorBridgeContract
12. SALD.saldLsiKlFiDensityTestContract
13. SALD.saldGronwallCandidateContract
14. dvVariationalFormulaInterface saldDvVariationSource
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. thm:forward-KL-discrete
2. main skeleton sprint 3
status : AutoSamplingTheory.ProofStatus (explicit)
Recorded workflow status, default planned.
AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification

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 cycle46DiscreteForwardKlSkeletonDag : List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.forward_KL_discrete.cycle46_theorem_skeleton_route"
      interface := "Discrete forward-KL theorem-level route: statement, EM endpoint/conditional-FP backend, KL derivative with frozen defect and LSI, DV velocity witness, Gronwall accumulation, and linear-slowdown accumulated-error bridge compose to the exact main_body.tex:309-323 display."
      source := saldForwardKlDiscreteProofSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle46DiscreteForwardKlSkeletonUpperPacket",
        "SALD.cycle46DiscreteForwardKlSkeletonObligation",
        "SALD.cycle46DiscreteForwardKlSkeletonMiddleContract",
        "SALD.cycle46DiscreteForwardKlSkeletonMiddleObligation",
        "SALD.discreteForwardKlStatementContract",
        "SALD.discreteForwardKlEmInterpolationSideConditionContract",
        "SALD.discreteForwardKlDerivativeCandidateContract",
        "SALD.frozenDeltaCrossLipSaldContract",
        "SALD.discreteForwardKlDvFiniteLogMgfWitnessContract",
        "SALD.discreteForwardKlGronwallInstantiationContract",
        "SALD.discreteForwardKlAccumulatedErrorBridgeContract",
        "SALD.saldLsiKlFiDensityTestContract",
        "SALD.saldGronwallCandidateContract",
        "dvVariationalFormulaInterface saldDvVariationSource"
      ]
      reusedBy := ["thm:forward-KL-discrete", "main skeleton sprint 3"]
      status := ProofStatus.obligation
    }
  ]

/-- Cycle-46 middle audit for the discrete forward-KL theorem skeleton.

This is the middle-role source-to-Lean synchronization layer for the discrete
route wrapper.  It checks the exact statement and appendix proof order, keeps
all slow analysis in named interfaces, and selects a lower-ready backend
without changing the source theorem display.
-/

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