AutoSamplingTheory.SALD.cycle47GuidedGeneralSkeletonDag

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.

def cycle47GuidedGeneralSkeletonDag : 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

1. id : String (explicit)

   Stable plan-node identifier.

   ASTIS.SALD.guided_general.cycle47_theorem_skeleton_route

   interface : String (explicit)

   Text describing intended mathematical interface.

   Guided/general theorem-level route: guided residual normalizer and identity feed the continuous general moving-target statement, whose derivative, LSI, residual DV, Gronwall, and pure-contraction interfaces compose to the exact appendix.tex:724-945 theorem display.

   source : AutoSamplingTheory.SourceAnchor (explicit)

   Source pointer.

   AutoSamplingTheory.SALD.saldGeneralMovingTargetSource — 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.cycle47GuidedGeneralSkeletonUpperPacket
   2. SALD.cycle47GuidedGeneralSkeletonObligation
   3. SALD.cycle47GuidedGeneralSkeletonMiddleContract
   4. SALD.cycle47GuidedGeneralSkeletonMiddleObligation
   5. SALD.guidedResidualIdentityContract
   6. SALD.generalMovingTargetStatementContract
   7. SALD.generalMovingTargetDerivativeCandidateContract
   8. SALD.generalMovingTargetDvFiniteLogMgfWitnessContract
   9. SALD.generalMovingTargetDvEnergyCandidateContract
   10. SALD.generalMovingTargetGronwallInstantiationContract
   11. SALD.generalMovingTargetGronwallSideConditionContract
   12. SALD.saldLsiKlFiDensityTestContract
   13. SALD.saldGronwallCandidateContract
   14. dvVariationalFormulaInterface saldDvVariationSource

   reusedBy : List String (explicit)

   Declared consumers as strings, default empty.

   Ordered data items

   1. prop:guided_path_residual
   2. thm:general-moving-target-SALD
   3. main skeleton sprint 4

   status : AutoSamplingTheory.ProofStatus (explicit)

   Recorded workflow status, default planned.

   AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification

2. id : String (explicit)

   Stable plan-node identifier.

   ASTIS.SALD.guided_general.cycle47_middle_route_audit

   interface : String (explicit)

   Text describing intended mathematical interface.

   Middle source-to-Lean audit for appendix.tex:619-951: verify the exact guided residual and continuous general theorem route, then select the general KL derivative backend for lower work.

   source : AutoSamplingTheory.SourceAnchor (explicit)

   Source pointer.

   AutoSamplingTheory.SALD.saldGeneralMovingTargetSource — 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.cycle47GuidedGeneralSkeletonMiddleContract
   2. SALD.cycle47GuidedGeneralSkeletonMiddleObligation
   3. SALD.cycle47GuidedGeneralSkeletonObligation
   4. SALD.guidedResidualIdentityContract
   5. SALD.generalMovingTargetStatementContract
   6. SALD.generalMovingTargetDerivativeCandidateContract
   7. SALD.generalMovingTargetDvFiniteLogMgfWitnessContract
   8. SALD.generalMovingTargetGronwallSideConditionContract
   9. sald.general_moving_target.kl_derivative

   reusedBy : List String (explicit)

   Declared consumers as strings, default empty.

   Ordered data items

   1. prop:guided_path_residual
   2. thm:general-moving-target-SALD
   3. cycle 47 lower derivative packet

   status : AutoSamplingTheory.ProofStatus (explicit)

   Recorded workflow status, default planned.

   AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification

def cycle47GuidedGeneralSkeletonDag : List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.guided_general.cycle47_theorem_skeleton_route"
      interface := "Guided/general theorem-level route: guided residual normalizer and identity feed the continuous general moving-target statement, whose derivative, LSI, residual DV, Gronwall, and pure-contraction interfaces compose to the exact appendix.tex:724-945 theorem display."
      source := saldGeneralMovingTargetSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle47GuidedGeneralSkeletonUpperPacket",
        "SALD.cycle47GuidedGeneralSkeletonObligation",
        "SALD.cycle47GuidedGeneralSkeletonMiddleContract",
        "SALD.cycle47GuidedGeneralSkeletonMiddleObligation",
        "SALD.guidedResidualIdentityContract",
        "SALD.generalMovingTargetStatementContract",
        "SALD.generalMovingTargetDerivativeCandidateContract",
        "SALD.generalMovingTargetDvFiniteLogMgfWitnessContract",
        "SALD.generalMovingTargetDvEnergyCandidateContract",
        "SALD.generalMovingTargetGronwallInstantiationContract",
        "SALD.generalMovingTargetGronwallSideConditionContract",
        "SALD.saldLsiKlFiDensityTestContract",
        "SALD.saldGronwallCandidateContract",
        "dvVariationalFormulaInterface saldDvVariationSource"
      ]
      reusedBy := ["prop:guided_path_residual", "thm:general-moving-target-SALD", "main skeleton sprint 4"]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.guided_general.cycle47_middle_route_audit"
      interface := "Middle source-to-Lean audit for appendix.tex:619-951: verify the exact guided residual and continuous general theorem route, then select the general KL derivative backend for lower work."
      source := saldGeneralMovingTargetSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle47GuidedGeneralSkeletonMiddleContract",
        "SALD.cycle47GuidedGeneralSkeletonMiddleObligation",
        "SALD.cycle47GuidedGeneralSkeletonObligation",
        "SALD.guidedResidualIdentityContract",
        "SALD.generalMovingTargetStatementContract",
        "SALD.generalMovingTargetDerivativeCandidateContract",
        "SALD.generalMovingTargetDvFiniteLogMgfWitnessContract",
        "SALD.generalMovingTargetGronwallSideConditionContract",
        "sald.general_moving_target.kl_derivative"
      ]
      reusedBy := ["prop:guided_path_residual", "thm:general-moving-target-SALD", "cycle 47 lower derivative packet"]
      status := ProofStatus.obligation
    }
  ]

/-- Cycle-52 upper packet for the guided residual and continuous general
moving-target theorem after the forward and discrete forward-KL routes.

This is a route-closure check for the current skeleton sprint.  It records the
five slow analytic backends explicitly, then wires `prop:guided_path_residual`
and `thm:general-moving-target-SALD` through the already named interfaces from
`appendix.tex:619-951`.  It is workflow data only: no theorem statement,
source constant, source label, or analytic status is changed.
-/