AutoSamplingTheory.SALD.cycle202GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedEndpointCoordinateLineLower2Dag

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 cycle202GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedEndpointCoordinateLineLower2Dag :
    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.cycle202.lower_2_packet.selected_endpoint_coordinate_line_source_gap
interface : String (explicit)
Text describing intended mathematical interface.
Typed source-cited boundary: hSelectedEndpointCoordinateLineDef is not closed by another wrapper; the existing cycle-190 bridge already shows that this field is the smaller endpoint-coordinate source contract needed for hSelectedIncrementCoordinateLineDef and hSourceTaylorIntegrandRawDef.
source : AutoSamplingTheory.SourceAnchor (explicit)
Source pointer.
AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteEmSource — 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.cycle202GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedEndpointCoordinateLineLower2Obligation
2. SALD.selectedWeakTestSelectedIncrementCoordinateLineDefOfEndpointAndLineDef
3. SALD.selectedWeakTestSourceTaylorIntegrandRawDefOfSelectedIncrementEndpointAndLineDef
4. hSelectedEndpointCoordinateLineDef
5. hSelectedIncrementEndpointDef
6. sourceSelectedEndpoint
7. appendix.tex:958-970
8. appendix.tex:983-996
9. appendix.tex:1161-1170
10. appendix.tex:1379-1387
11. source_contract_gap_missing_selected_endpoint_coordinate_line_definition
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. hSelectedIncrementCoordinateLineDef
2. hSourceTaylorIntegrandRawDef
3. hBrownianCoordinateGeneratorTaylorIntegralDef
4. sald.general_moving_target_discrete.em_interpolation_fp
5. sald.general_moving_target_discrete.kl_derivative
6. divergence/FI/IBP handoff
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 cycle202GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedEndpointCoordinateLineLower2Dag :
    List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.cycle202.lower_2_packet.selected_endpoint_coordinate_line_source_gap"
      interface := "Typed source-cited boundary: hSelectedEndpointCoordinateLineDef is not closed by another wrapper; the existing cycle-190 bridge already shows that this field is the smaller endpoint-coordinate source contract needed for hSelectedIncrementCoordinateLineDef and hSourceTaylorIntegrandRawDef."
      source := saldGeneralMovingTargetDiscreteEmSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle202GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedEndpointCoordinateLineLower2Obligation",
        "SALD.selectedWeakTestSelectedIncrementCoordinateLineDefOfEndpointAndLineDef",
        "SALD.selectedWeakTestSourceTaylorIntegrandRawDefOfSelectedIncrementEndpointAndLineDef",
        "hSelectedEndpointCoordinateLineDef",
        "hSelectedIncrementEndpointDef",
        "sourceSelectedEndpoint",
        "appendix.tex:958-970",
        "appendix.tex:983-996",
        "appendix.tex:1161-1170",
        "appendix.tex:1379-1387",
        "source_contract_gap_missing_selected_endpoint_coordinate_line_definition"
      ]
      reusedBy := [
        "hSelectedIncrementCoordinateLineDef",
        "hSourceTaylorIntegrandRawDef",
        "hBrownianCoordinateGeneratorTaylorIntegralDef",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.general_moving_target_discrete.kl_derivative",
        "divergence/FI/IBP handoff"
      ]
      status := ProofStatus.obligation
    }
  ]

/-! ### Cycle 203 lower_2: selected-increment endpoint definition source gap -/

/-- Cycle-203 lower_2 packet for the selected-increment endpoint field.

The cycle-190 local bridge already reduces the selected-increment coordinate
line and raw source Taylor integrand leaves to two endpoint-facing source
fields.  Cycle 202 recorded the endpoint coordinate-line field.  This packet
records the remaining companion field: the source selected-line increment must
be the selected weak-test value at the named endpoint minus its base value.
Local inspection found `sourceSelectedLineIncrement` only as an abstract
source-facing parameter of the compiled bridges, not as a reducible
definition, so this remains a precise source contract rather than a theorem
claim.
-/

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