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

AutoSamplingTheory.SALD.cycle59MainSkeletonAnalyticInterfaceDag

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 cycle59MainSkeletonAnalyticInterfaceDag : 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.cycle59.analytic_interface_ledger
    interface : String (explicit)

    Text describing intended mathematical interface.

    Upper global judgment and five-backend recheck after cycle 58: no recovery, narrow one-backend backfill only, and discrete general Gronwall/display side conditions remain the largest theorem-level risk.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteGronwallSideConditionSource — 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.cycle59MainSkeletonAnalyticInterfaceLedger
    2. SALD.cycle59MainSkeletonAnalyticInterfaceObligation
    3. SALD.cycle58UnifiedDiscreteGeneralMiddleObligation
    4. SALD.cycle56DiscreteForwardKlGronwallLowerObligation
    5. SALD.saldGronwallEndpointCalculusContract
    6. dvVariationalFormulaInterface saldDvVariationSource
    7. SALD.saldLsiKlFiDensityTestContract
    8. SALD.forwardKlDerivativeSideConditionContract
    9. SALD.generalMovingTargetDiscreteDerivativeSideConditionContract
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. thm:forward-KL
    2. thm:forward-KL-discrete
    3. prop:guided_path_residual
    4. thm:general-moving-target-SALD
    5. thm:unified-forward-KL
    6. thm:general-moving-target-SALD-discrete
    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.cycle59.theorem_route_rewire
    interface : String (explicit)

    Text describing intended mathematical interface.

    Route the five interfaces through the six faithful theorem skeletons in paper order, keeping every theorem contractOnly and every slow backend sourceCited or obligation unless already compiled locally.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteSource — 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.continuousSaldContract
    2. SALD.discreteSaldContract
    3. SALD.guidedResidualContract
    4. SALD.generalVaSaldContract
    5. SALD.unifiedForwardKlContract
    6. SALD.generalVaSaldDiscreteContract
    7. SALD.cycle55ForwardKlSkeletonMiddleObligation
    8. SALD.cycle56DiscreteForwardKlSkeletonMiddleObligation
    9. SALD.cycle57GuidedGeneralSkeletonMiddleObligation
    10. SALD.cycle58UnifiedDiscreteGeneralMiddleObligation
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. ASTIS-SALD-001 cycle 59 middle audit
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
  3. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle59.middle_interface_audit
    interface : String (explicit)

    Text describing intended mathematical interface.

    Middle audit of the cycle-59 analytic ledger against the six theorem consumers, with the lower packet kept on appendix.tex:1573-1600 endpoint stitching, coefficient regularity, Gronwall, and display matching.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteGronwallSideConditionSource — 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.cycle59MainSkeletonAnalyticMiddleContract
    2. SALD.cycle59MainSkeletonAnalyticMiddleObligation
    3. SALD.cycle59MainSkeletonAnalyticInterfaceObligation
    4. SALD.cycle58UnifiedDiscreteGeneralMiddleObligation
    5. SALD.cycle56DiscreteForwardKlGronwallLowerObligation
    6. SALD.cycle55ForwardKlSkeletonMiddleObligation
    7. SALD.cycle57GuidedGeneralSkeletonMiddleObligation
    8. SALD.generalMovingTargetDiscreteGronwallSideConditionContract
    9. SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged
    10. sald.general_moving_target_discrete.gronwall_side_conditions
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. thm:forward-KL
    2. thm:forward-KL-discrete
    3. prop:guided_path_residual
    4. thm:general-moving-target-SALD
    5. thm:unified-forward-KL
    6. thm:general-moving-target-SALD-discrete
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
  4. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle59.lower_packet.general_discrete_gronwall_side_conditions
    interface : String (explicit)

    Text describing intended mathematical interface.

    Selected lower packet for cycle 59: continue sald.general_moving_target_discrete.gronwall_side_conditions over appendix.tex:1573-1600, focusing endpoint stitching, coefficient regularity, and exact Gronwall-display matching after the cycle-58 pointwise Gronwall input wrapper.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteGronwallSideConditionSource — 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.cycle59MainSkeletonAnalyticMiddleObligation
    2. SALD.generalMovingTargetDiscreteGronwallInstantiationContract
    3. SALD.generalMovingTargetDiscreteGronwallSideConditionContract
    4. SALD.generalMovingTargetDiscreteGronwallSideConditionObligation
    5. SALD.cycle59GeneralMovingTargetDiscreteGronwallLowerObligation
    6. SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged
    7. SALD.generalMovingTargetDiscreteGronwallNamedCoefficientInput
    8. SALD.generalMovingTargetDiscreteGronwallEndpointRewriteScalar
    9. SALD.generalMovingTargetDiscreteConstantScheduleSquareScalar
    10. SALD.generalMovingTargetDiscreteResidualCoefficientRewriteScalar
    11. SALD.generalMovingTargetDiscreteGammaCoefficientRewriteScalar
    12. SALD.generalMovingTargetDiscreteDeltaCoefficientRewriteScalar
    13. sald.general_moving_target_discrete.gronwall_application
    14. sald.general_moving_target_discrete.constant_schedule_stitching
    15. sald.general_moving_target_discrete.gronwall_side_conditions
    16. sald.gronwall.integrating_factor
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. sald.general_moving_target_discrete.gronwall_side_conditions
    2. thm:general-moving-target-SALD-discrete
    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 cycle59MainSkeletonAnalyticInterfaceDag : List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.cycle59.analytic_interface_ledger"
      interface := "Upper global judgment and five-backend recheck after cycle 58: no recovery, narrow one-backend backfill only, and discrete general Gronwall/display side conditions remain the largest theorem-level risk."
      source := saldGeneralMovingTargetDiscreteGronwallSideConditionSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle59MainSkeletonAnalyticInterfaceLedger",
        "SALD.cycle59MainSkeletonAnalyticInterfaceObligation",
        "SALD.cycle58UnifiedDiscreteGeneralMiddleObligation",
        "SALD.cycle56DiscreteForwardKlGronwallLowerObligation",
        "SALD.saldGronwallEndpointCalculusContract",
        "dvVariationalFormulaInterface saldDvVariationSource",
        "SALD.saldLsiKlFiDensityTestContract",
        "SALD.forwardKlDerivativeSideConditionContract",
        "SALD.generalMovingTargetDiscreteDerivativeSideConditionContract"
      ]
      reusedBy := [
        "thm:forward-KL",
        "thm:forward-KL-discrete",
        "prop:guided_path_residual",
        "thm:general-moving-target-SALD",
        "thm:unified-forward-KL",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle59.theorem_route_rewire"
      interface := "Route the five interfaces through the six faithful theorem skeletons in paper order, keeping every theorem contractOnly and every slow backend sourceCited or obligation unless already compiled locally."
      source := saldGeneralMovingTargetDiscreteSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.continuousSaldContract",
        "SALD.discreteSaldContract",
        "SALD.guidedResidualContract",
        "SALD.generalVaSaldContract",
        "SALD.unifiedForwardKlContract",
        "SALD.generalVaSaldDiscreteContract",
        "SALD.cycle55ForwardKlSkeletonMiddleObligation",
        "SALD.cycle56DiscreteForwardKlSkeletonMiddleObligation",
        "SALD.cycle57GuidedGeneralSkeletonMiddleObligation",
        "SALD.cycle58UnifiedDiscreteGeneralMiddleObligation"
      ]
      reusedBy := ["ASTIS-SALD-001 cycle 59 middle audit"]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle59.middle_interface_audit"
      interface := "Middle audit of the cycle-59 analytic ledger against the six theorem consumers, with the lower packet kept on appendix.tex:1573-1600 endpoint stitching, coefficient regularity, Gronwall, and display matching."
      source := saldGeneralMovingTargetDiscreteGronwallSideConditionSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle59MainSkeletonAnalyticMiddleContract",
        "SALD.cycle59MainSkeletonAnalyticMiddleObligation",
        "SALD.cycle59MainSkeletonAnalyticInterfaceObligation",
        "SALD.cycle58UnifiedDiscreteGeneralMiddleObligation",
        "SALD.cycle56DiscreteForwardKlGronwallLowerObligation",
        "SALD.cycle55ForwardKlSkeletonMiddleObligation",
        "SALD.cycle57GuidedGeneralSkeletonMiddleObligation",
        "SALD.generalMovingTargetDiscreteGronwallSideConditionContract",
        "SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged",
        "sald.general_moving_target_discrete.gronwall_side_conditions"
      ]
      reusedBy := [
        "thm:forward-KL",
        "thm:forward-KL-discrete",
        "prop:guided_path_residual",
        "thm:general-moving-target-SALD",
        "thm:unified-forward-KL",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle59.lower_packet.general_discrete_gronwall_side_conditions"
      interface := "Selected lower packet for cycle 59: continue sald.general_moving_target_discrete.gronwall_side_conditions over appendix.tex:1573-1600, focusing endpoint stitching, coefficient regularity, and exact Gronwall-display matching after the cycle-58 pointwise Gronwall input wrapper."
      source := saldGeneralMovingTargetDiscreteGronwallSideConditionSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle59MainSkeletonAnalyticMiddleObligation",
        "SALD.generalMovingTargetDiscreteGronwallInstantiationContract",
        "SALD.generalMovingTargetDiscreteGronwallSideConditionContract",
        "SALD.generalMovingTargetDiscreteGronwallSideConditionObligation",
        "SALD.cycle59GeneralMovingTargetDiscreteGronwallLowerObligation",
        "SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged",
        "SALD.generalMovingTargetDiscreteGronwallNamedCoefficientInput",
        "SALD.generalMovingTargetDiscreteGronwallEndpointRewriteScalar",
        "SALD.generalMovingTargetDiscreteConstantScheduleSquareScalar",
        "SALD.generalMovingTargetDiscreteResidualCoefficientRewriteScalar",
        "SALD.generalMovingTargetDiscreteGammaCoefficientRewriteScalar",
        "SALD.generalMovingTargetDiscreteDeltaCoefficientRewriteScalar",
        "sald.general_moving_target_discrete.gronwall_application",
        "sald.general_moving_target_discrete.constant_schedule_stitching",
        "sald.general_moving_target_discrete.gronwall_side_conditions",
        "sald.gronwall.integrating_factor"
      ]
      reusedBy := ["sald.general_moving_target_discrete.gronwall_side_conditions", "thm:general-moving-target-SALD-discrete"]
      status := ProofStatus.obligation
    }
  ]

/-- Cycle-60 upper packet for the continuous forward-KL skeleton after the
accepted cycle-59 route audit.

The previous reviewer/build gate accepted the cycle-59 ledger.  This packet
therefore returns to the cycle focus: make the continuous theorem route consume
the source-cited analytic interfaces explicitly, and assign the next lower
work to the continuous KL derivative/Fokker-Planck backend rather than to a
new source-index rebaseline or a broad cited-theory port.
-/

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