Samplinglib
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AutoSamplingTheory.SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalDag

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 cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalDag :
    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.cycle154.packet.laplacian_state_integral_from_trace_field_source_functional
    interface : String (explicit)

    Text describing intended mathematical interface.

    Compiled worker theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional derives hemGeneratorLaplacianStateIntegral from hemGeneratorTraceActionDef plus htraceFieldStdBasis by first recovering hemGeneratorStdBasisDef through SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField, then reusing the accepted cycle-153 state-integral standard-basis source-functional bridge.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpSource — 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.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalLowerObligation
    2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional
    3. SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField
    4. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfStdBasisSourceFunctional
    5. hemGeneratorTraceActionDef
    6. htraceFieldStdBasis
    7. hsourceLaplacianFunctional
    8. hsourceLaplacianFieldMeas
    9. appendix.tex:984-995
    10. appendix.tex:1368-1387
    11. appendix.tex:1379-1387
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfStdBasisSourceFunctional
    2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceLaplacianStateIntegralSourceAndEventFormula
    3. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceLaplacianStateIntegralSourceAndPointwiseEventFormula
    4. sald.general_moving_target_discrete.em_interpolation_fp
    5. sald.discrete_forward_kl.em_interpolation_fp
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

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

    Stable plan-node identifier.

    ASTIS.SALD.cycle154.lower_1_packet.laplacian_state_integral_from_trace_law_laplacian_field
    interface : String (explicit)

    Text describing intended mathematical interface.

    Compiled lower_1 scout theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField derives hemGeneratorLaplacianStateIntegral from hemGeneratorTraceLawIntegral and htraceFieldEqLaplacian by recovering hemGeneratorTraceActionDef through SALD.generalMovingTargetDiscreteEmGeneratorTraceActionDefOfTraceLawIntegral, recovering htraceFieldStdBasis through SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldStdBasisOfLaplacianField, and then reusing the cycle-154 trace-field source-functional state-integral bridge.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpSource — 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.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceLawIntegralLaplacianFieldScoutObligation
    2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField
    3. SALD.generalMovingTargetDiscreteEmGeneratorTraceActionDefOfTraceLawIntegral
    4. SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldStdBasisOfLaplacianField
    5. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional
    6. hemGeneratorTraceLawIntegral
    7. htraceFieldEqLaplacian
    8. hsourceLaplacianFunctional
    9. hsourceLaplacianFieldMeas
    10. appendix.tex:984-995
    11. appendix.tex:1368-1387
    12. appendix.tex:1379-1387
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional
    2. sald.general_moving_target_discrete.em_interpolation_fp
    3. sald.discrete_forward_kl.em_interpolation_fp
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

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

    Stable plan-node identifier.

    ASTIS.SALD.cycle154.lower_2_packet.laplacian_state_integral_from_trace_state_laplacian_field
    interface : String (explicit)

    Text describing intended mathematical interface.

    Compiled lower_2 theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField derives hemGeneratorLaplacianStateIntegral from hemGeneratorTraceStateIntegral, htraceFieldMeas, hhatRhoS, hhatX, and htraceFieldEqLaplacian by first recovering hemGeneratorTraceLawIntegral through SALD.generalMovingTargetDiscreteEmGeneratorTraceLawIntegralOfStateIntegral, then reusing the lower_1 trace-law/Laplacian-field state-integral bridge.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpSource — 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.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceStateIntegralLaplacianFieldLowerObligation
    2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField
    3. SALD.generalMovingTargetDiscreteEmGeneratorTraceLawIntegralOfStateIntegral
    4. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField
    5. hemGeneratorTraceStateIntegral
    6. htraceFieldMeas
    7. hhatRhoS
    8. hhatX
    9. htraceFieldEqLaplacian
    10. hsourceLaplacianFunctional
    11. hsourceLaplacianFieldMeas
    12. appendix.tex:984-995
    13. appendix.tex:1368-1387
    14. appendix.tex:1379-1387
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField
    2. sald.general_moving_target_discrete.em_interpolation_fp
    3. sald.discrete_forward_kl.em_interpolation_fp
    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.cycle154.remaining_trace_state_trace_field_source_functional
    interface : String (explicit)

    Text describing intended mathematical interface.

    Remaining exact theorem boundary after cycle 154 lower_2: prove hemGeneratorTraceStateIntegral for the named frozen EM trace-field action, htraceFieldMeas for map-law transport, and htraceFieldEqLaplacian for the trace-field/Laplacian identity. The direct hemGeneratorStdBasisDef, hemGeneratorTraceActionDef, htraceFieldStdBasis, and hemGeneratorTraceLawIntegral inputs are no longer primitive for this state-integral path; keep hsourceLaplacianFunctional, hsourceLaplacianFieldMeas, hemGeneratorLaplacianEventFieldStdBasisDef, hweakFpSourceFieldPointwiseEqLaplacian, state-event, and sibling EM leaves explicit.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpSource — 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.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField
    2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField
    3. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional
    4. SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField
    5. hemGeneratorTraceStateIntegral
    6. htraceFieldMeas
    7. htraceFieldEqLaplacian
    8. hhatRhoS
    9. hhatX
    10. appendix.tex:984-995
    11. appendix.tex:1368-1387
    12. appendix.tex:1379-1387
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. sald.general_moving_target_discrete.em_interpolation_fp
    2. sald.discrete_forward_kl.em_interpolation_fp
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

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

    Stable plan-node identifier.

    ASTIS.SALD.cycle154.reviewer_trace_field_source_functional_check
    interface : String (explicit)

    Text describing intended mathematical interface.

    Reviewer check: accept only if the packet classification is discharges-supplied-hypothesis for the first cycle-154 bridge and narrows-source-cited-boundary for the lower_1/lower_2 continuation bridges; hemGeneratorStdBasisDef is discharged under the accepted cycle-153 state-integral bridge, hemGeneratorTraceActionDef and htraceFieldStdBasis are narrowed to hemGeneratorTraceLawIntegral plus htraceFieldEqLaplacian, and hemGeneratorTraceLawIntegral is then narrowed to hemGeneratorTraceStateIntegral plus htraceFieldMeas, hhatRhoS, and hhatX. Sibling EM/weak-FP leaves remain explicit, and python3 tools/astis.py check passes without SLT import, non-EM fallback, theorem-status promotion, fake closure, broad audit, Lake/toolchain change, downstream wrapper churn, or sald_version_2 use.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpSource — 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.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalLowerObligation
    2. SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceLawIntegralLaplacianFieldScoutObligation
    3. SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceStateIntegralLaplacianFieldLowerObligation
    4. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional
    5. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField
    6. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField
    7. SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField
    8. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfStdBasisSourceFunctional
    9. appendix.tex:984-995
    10. appendix.tex:1368-1387
    11. appendix.tex:1379-1387
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. cycle 154 reviewer
    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 cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalDag :
    List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.cycle154.packet.laplacian_state_integral_from_trace_field_source_functional"
      interface := "Compiled worker theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional derives hemGeneratorLaplacianStateIntegral from hemGeneratorTraceActionDef plus htraceFieldStdBasis by first recovering hemGeneratorStdBasisDef through SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField, then reusing the accepted cycle-153 state-integral standard-basis source-functional bridge."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalLowerObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional",
        "SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfStdBasisSourceFunctional",
        "hemGeneratorTraceActionDef",
        "htraceFieldStdBasis",
        "hsourceLaplacianFunctional",
        "hsourceLaplacianFieldMeas",
        "appendix.tex:984-995",
        "appendix.tex:1368-1387",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfStdBasisSourceFunctional",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceLaplacianStateIntegralSourceAndEventFormula",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceLaplacianStateIntegralSourceAndPointwiseEventFormula",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle154.lower_1_packet.laplacian_state_integral_from_trace_law_laplacian_field"
      interface := "Compiled lower_1 scout theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField derives hemGeneratorLaplacianStateIntegral from hemGeneratorTraceLawIntegral and htraceFieldEqLaplacian by recovering hemGeneratorTraceActionDef through SALD.generalMovingTargetDiscreteEmGeneratorTraceActionDefOfTraceLawIntegral, recovering htraceFieldStdBasis through SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldStdBasisOfLaplacianField, and then reusing the cycle-154 trace-field source-functional state-integral bridge."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceLawIntegralLaplacianFieldScoutObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField",
        "SALD.generalMovingTargetDiscreteEmGeneratorTraceActionDefOfTraceLawIntegral",
        "SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldStdBasisOfLaplacianField",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional",
        "hemGeneratorTraceLawIntegral",
        "htraceFieldEqLaplacian",
        "hsourceLaplacianFunctional",
        "hsourceLaplacianFieldMeas",
        "appendix.tex:984-995",
        "appendix.tex:1368-1387",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle154.lower_2_packet.laplacian_state_integral_from_trace_state_laplacian_field"
      interface := "Compiled lower_2 theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField derives hemGeneratorLaplacianStateIntegral from hemGeneratorTraceStateIntegral, htraceFieldMeas, hhatRhoS, hhatX, and htraceFieldEqLaplacian by first recovering hemGeneratorTraceLawIntegral through SALD.generalMovingTargetDiscreteEmGeneratorTraceLawIntegralOfStateIntegral, then reusing the lower_1 trace-law/Laplacian-field state-integral bridge."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceStateIntegralLaplacianFieldLowerObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField",
        "SALD.generalMovingTargetDiscreteEmGeneratorTraceLawIntegralOfStateIntegral",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField",
        "hemGeneratorTraceStateIntegral",
        "htraceFieldMeas",
        "hhatRhoS",
        "hhatX",
        "htraceFieldEqLaplacian",
        "hsourceLaplacianFunctional",
        "hsourceLaplacianFieldMeas",
        "appendix.tex:984-995",
        "appendix.tex:1368-1387",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle154.remaining_trace_state_trace_field_source_functional"
      interface := "Remaining exact theorem boundary after cycle 154 lower_2: prove hemGeneratorTraceStateIntegral for the named frozen EM trace-field action, htraceFieldMeas for map-law transport, and htraceFieldEqLaplacian for the trace-field/Laplacian identity. The direct hemGeneratorStdBasisDef, hemGeneratorTraceActionDef, htraceFieldStdBasis, and hemGeneratorTraceLawIntegral inputs are no longer primitive for this state-integral path; keep hsourceLaplacianFunctional, hsourceLaplacianFieldMeas, hemGeneratorLaplacianEventFieldStdBasisDef, hweakFpSourceFieldPointwiseEqLaplacian, state-event, and sibling EM leaves explicit."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional",
        "SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField",
        "hemGeneratorTraceStateIntegral",
        "htraceFieldMeas",
        "htraceFieldEqLaplacian",
        "hhatRhoS",
        "hhatX",
        "appendix.tex:984-995",
        "appendix.tex:1368-1387",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle154.reviewer_trace_field_source_functional_check"
      interface := "Reviewer check: accept only if the packet classification is discharges-supplied-hypothesis for the first cycle-154 bridge and narrows-source-cited-boundary for the lower_1/lower_2 continuation bridges; hemGeneratorStdBasisDef is discharged under the accepted cycle-153 state-integral bridge, hemGeneratorTraceActionDef and htraceFieldStdBasis are narrowed to hemGeneratorTraceLawIntegral plus htraceFieldEqLaplacian, and hemGeneratorTraceLawIntegral is then narrowed to hemGeneratorTraceStateIntegral plus htraceFieldMeas, hhatRhoS, and hhatX. Sibling EM/weak-FP leaves remain explicit, and python3 tools/astis.py check passes without SLT import, non-EM fallback, theorem-status promotion, fake closure, broad audit, Lake/toolchain change, downstream wrapper churn, or sald_version_2 use."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalLowerObligation",
        "SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceLawIntegralLaplacianFieldScoutObligation",
        "SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceStateIntegralLaplacianFieldLowerObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField",
        "SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfStdBasisSourceFunctional",
        "appendix.tex:984-995",
        "appendix.tex:1368-1387",
        "appendix.tex:1379-1387"
      ]
      reusedBy := ["cycle 154 reviewer"]
      status := ProofStatus.obligation
    }
  ]

/-! ### Cycle 155: trace state integral from trace-field/Laplacian identity -/

/-- Cycle-155 narrowing of the trace-state integral source boundary. -/

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