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

AutoSamplingTheory.SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityDag

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 cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityDag :
    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.cycle88.global_phase_judgment
    interface : String (explicit)

    Text describing intended mathematical interface.

    Cycle 88 judgment: cycle 87 was accepted by reviewer/build and needs no recovery; Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill; the single lower packet that best reduces the active EM backend risk is log-ratio weak-test admissibility at appendix.tex:1358-1366.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource — 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.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryLowerObligation
    2. SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl
    3. sald.general_moving_target_discrete.em_interpolation_fp
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. thm:forward-KL-discrete
    2. thm:general-moving-target-SALD-discrete
    3. sald.general_moving_target_discrete.kl_derivative
    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.cycle88.middle_log_ratio_admissibility_boundary
    interface : String (explicit)

    Text describing intended mathematical interface.

    Middle source map: replace the broad hlog : Admissible logRatioTest input with a smaller theorem boundary for Admissible (llr hatRhoS tildePiS), using cycle-87 finite-KL llr regularity plus smoothing/Sobolev approximation, boundary control, and weak-FP action closure.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource — 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.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddleObligation
    2. SALD.generalMovingTargetDiscreteKlLogRatioLlrDef
    3. SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl
    4. SALD.GeneralMovingTargetDiscreteKlLogRatioAdmissibilityClosure
    5. SALD.generalMovingTargetDiscreteKlLogRatioAdmissibleOfFiniteKlClosure
    6. SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfSourceSignsWithLogAction
    7. SALD.generalMovingTargetDiscreteEndpointConditionalKlDerivativeWeakFpHandoffWithLogAction
    8. eq:general_KL_derivative_0_discrete
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. sald.general_moving_target_discrete.kl_derivative
    2. sald.general_moving_target_discrete.em_interpolation_fp
    3. thm:forward-KL-discrete
    4. thm:general-moving-target-SALD-discrete
    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.cycle88.lower_packet.log_ratio_admissibility
    interface : String (explicit)

    Text describing intended mathematical interface.

    Lower packet: SALD.generalMovingTargetDiscreteKlLogRatioAdmissibleOfFiniteKlClosure derives Admissible (llr hatRhoS tildePiS) from finite KL plus the named approximation/closure package, replacing the broad hlog hypothesis by the smaller closure theorem boundary. Classification: narrows-source-cited-boundary.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource — 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.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddlePacket
    2. SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddleObligation
    3. SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityLowerObligation
    4. SALD.GeneralMovingTargetDiscreteKlLogRatioAdmissibilityClosure
    5. SALD.generalMovingTargetDiscreteKlLogRatioAdmissibleOfFiniteKlClosure
    6. SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl
    7. Mathlib.MeasureTheory.Measure.LogLikelihoodRatio
    8. Mathlib.MeasureTheory.Integral.Bochner.Basic
    9. Mathlib.Analysis.Calculus.ParametricIntegral
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfRawKlAndSourceSignsWithLogAction
    2. sald.general_moving_target_discrete.kl_derivative
    3. sald.general_moving_target_discrete.em_interpolation_fp
    4. thm:forward-KL-discrete
    5. thm:general-moving-target-SALD-discrete
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

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

    Stable plan-node identifier.

    ASTIS.SALD.cycle88.reviewer_log_ratio_admissibility_check
    interface : String (explicit)

    Text describing intended mathematical interface.

    Reviewer check: reject wrapper churn, hidden KL differentiability or weak-FP closure, reintroduced AC/measurability/integrability hypotheses already discharged by finite KL, theorem-status promotion, SLT/Lake dependency changes, or drift away from appendix.tex:1358-1366.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource — 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.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddleObligation
    2. SALD.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryLowerObligation
    3. SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl
    4. sald.general_moving_target_discrete.em_interpolation_fp
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. thm:forward-KL-discrete
    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 cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityDag :
    List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.cycle88.global_phase_judgment"
      interface := "Cycle 88 judgment: cycle 87 was accepted by reviewer/build and needs no recovery; Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill; the single lower packet that best reduces the active EM backend risk is log-ratio weak-test admissibility at appendix.tex:1358-1366."
      source := saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryLowerObligation",
        "SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl",
        "sald.general_moving_target_discrete.em_interpolation_fp"
      ]
      reusedBy := [
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete",
        "sald.general_moving_target_discrete.kl_derivative"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle88.middle_log_ratio_admissibility_boundary"
      interface := "Middle source map: replace the broad hlog : Admissible logRatioTest input with a smaller theorem boundary for Admissible (llr hatRhoS tildePiS), using cycle-87 finite-KL llr regularity plus smoothing/Sobolev approximation, boundary control, and weak-FP action closure."
      source := saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddleObligation",
        "SALD.generalMovingTargetDiscreteKlLogRatioLlrDef",
        "SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl",
        "SALD.GeneralMovingTargetDiscreteKlLogRatioAdmissibilityClosure",
        "SALD.generalMovingTargetDiscreteKlLogRatioAdmissibleOfFiniteKlClosure",
        "SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfSourceSignsWithLogAction",
        "SALD.generalMovingTargetDiscreteEndpointConditionalKlDerivativeWeakFpHandoffWithLogAction",
        "eq:general_KL_derivative_0_discrete"
      ]
      reusedBy := [
        "sald.general_moving_target_discrete.kl_derivative",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle88.lower_packet.log_ratio_admissibility"
      interface := "Lower packet: SALD.generalMovingTargetDiscreteKlLogRatioAdmissibleOfFiniteKlClosure derives Admissible (llr hatRhoS tildePiS) from finite KL plus the named approximation/closure package, replacing the broad hlog hypothesis by the smaller closure theorem boundary. Classification: narrows-source-cited-boundary."
      source := saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddlePacket",
        "SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddleObligation",
        "SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityLowerObligation",
        "SALD.GeneralMovingTargetDiscreteKlLogRatioAdmissibilityClosure",
        "SALD.generalMovingTargetDiscreteKlLogRatioAdmissibleOfFiniteKlClosure",
        "SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl",
        "Mathlib.MeasureTheory.Measure.LogLikelihoodRatio",
        "Mathlib.MeasureTheory.Integral.Bochner.Basic",
        "Mathlib.Analysis.Calculus.ParametricIntegral"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfRawKlAndSourceSignsWithLogAction",
        "sald.general_moving_target_discrete.kl_derivative",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle88.reviewer_log_ratio_admissibility_check"
      interface := "Reviewer check: reject wrapper churn, hidden KL differentiability or weak-FP closure, reintroduced AC/measurability/integrability hypotheses already discharged by finite KL, theorem-status promotion, SLT/Lake dependency changes, or drift away from appendix.tex:1358-1366."
      source := saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddleObligation",
        "SALD.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryLowerObligation",
        "SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl",
        "sald.general_moving_target_discrete.em_interpolation_fp"
      ]
      reusedBy := [
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.obligation
    }
  ]

/-- Cycle-89 upper pressure test for the discrete forward-KL theorem route.

This packet does not introduce a new theorem wrapper.  It records the requested
post-cycle-84 pressure test: route `thm:forward-KL-discrete` through the
currently compiled EM, LSI, DV, and Gronwall interfaces, then identify the
first non-wrapper analytic blocker with source lines and Lean names.
-/

Existing module entry · Audited data-reader index · All teaching coverage