AutoSamplingTheory.SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDag

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 cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDag :
    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.cycle160.middle_packet.brownian_stdbasis_from_frozen_scalar_ito_generator
interface : String (explicit)
Text describing intended mathematical interface.
Compiled middle theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator derives hEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDef from the named source-cited stochastic-generator interface hFrozenScalarBrownianItoGeneratorEventFieldDef by unfolding SALD.emFrozenScalarBrownianItoGeneratorEventField.
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.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoLowerObligation
2. SALD.emFrozenScalarBrownianItoGeneratorEventField
3. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator
4. hFrozenScalarBrownianItoGeneratorEventFieldDef
5. hEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDef
6. appendix.tex:984-995
7. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseDefOfStdBasis
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianDefOfPointwise
3. sald.general_moving_target_discrete.em_interpolation_fp
4. 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
id : String (explicit)
Stable plan-node identifier.
ASTIS.SALD.cycle160.remaining_frozen_scalar_brownian_ito_generator_event_field_def
interface : String (explicit)
Text describing intended mathematical interface.
Compiled lower_1 theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise derives hFrozenScalarBrownianItoGeneratorEventFieldDef from the smaller pointwise stochastic-generator display hFrozenScalarBrownianItoGeneratorEventFieldPointwiseDef by function extensionality over selected weak tests and state points.
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.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseScoutObligation
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise
3. hFrozenScalarBrownianItoGeneratorEventFieldDef
4. hFrozenScalarBrownianItoGeneratorEventFieldPointwiseDef
5. SALD.emFrozenScalarBrownianItoGeneratorEventField
6. eq:general_moving_target_SALD_frozen_interp
7. appendix.tex:984-995
8. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator
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
id : String (explicit)
Stable plan-node identifier.
ASTIS.SALD.cycle160.lower_2_packet.frozen_scalar_ito_pointwise_from_coordinate_generator
interface : String (explicit)
Text describing intended mathematical interface.
Compiled lower_2 theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator derives hFrozenScalarBrownianItoGeneratorEventFieldPointwiseDef from the smaller source-cited coordinate-generator pair hFrozenScalarBrownianItoEventFieldCoordinateSum plus hFrozenScalarBrownianItoCoordinateGeneratorDef by finite-sum congruence and unfolding SALD.emFrozenScalarBrownianItoGeneratorEventField.
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.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseCoordinateLowerObligation
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator
3. SALD.emFrozenScalarBrownianItoGeneratorEventField
4. hFrozenScalarBrownianItoEventFieldCoordinateSum
5. hFrozenScalarBrownianItoCoordinateGeneratorDef
6. eq:general_moving_target_SALD_frozen_interp
7. appendix.tex:984-995
8. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator
3. sald.general_moving_target_discrete.em_interpolation_fp
4. 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
id : String (explicit)
Stable plan-node identifier.
ASTIS.SALD.cycle160.remaining_frozen_scalar_brownian_ito_coordinate_generator
interface : String (explicit)
Text describing intended mathematical interface.
Remaining exact source boundary after lower_2: prove hFrozenScalarBrownianItoEventFieldCoordinateSum, identifying the abstract EM Laplacian event field as the sum of frozen Brownian coordinate generator contributions, and hFrozenScalarBrownianItoCoordinateGeneratorDef, identifying each coordinate contribution with the corresponding diagonal second derivative. The proof route is the scalar Brownian/Ito generator for the frozen increment in eq:general_moving_target_SALD_frozen_interp: the drift contributes to the first-order transport field, the Brownian increment has covariance sigma_eta^2 I per unit s-time, and the second-order Taylor/Ito term gives the coordinate Hessian trace while the coefficient sigma_eta^2/2 remains outside this event field in the weak-FP action.
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.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseCoordinateLowerObligation
2. hFrozenScalarBrownianItoEventFieldCoordinateSum
3. hFrozenScalarBrownianItoCoordinateGeneratorDef
4. eq:general_moving_target_SALD_frozen_interp
5. appendix.tex:984-995
6. appendix.tex:1379-1387
7. Mathlib.Probability.Distributions.Gaussian.Real
8. Mathlib.Probability.Moments.CovarianceBilin
9. Mathlib.Analysis.InnerProductSpace.Laplacian
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator
3. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator
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.obligation — stored label only; no proof certification
id : String (explicit)
Stable plan-node identifier.
ASTIS.SALD.cycle160.reviewer_frozen_scalar_brownian_ito_check
interface : String (explicit)
Text describing intended mathematical interface.
Reviewer check: accept only if the packet classification is narrows-source-cited-boundary, hEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDef is narrowed to hFrozenScalarBrownianItoGeneratorEventFieldDef through the compiled middle theorem, then to hFrozenScalarBrownianItoGeneratorEventFieldPointwiseDef through the compiled lower_1 theorem, and then to hFrozenScalarBrownianItoEventFieldCoordinateSum plus hFrozenScalarBrownianItoCoordinateGeneratorDef through the compiled lower_2 coordinate-generator theorem. Stale weak-FP source-field/trace-field/consumer wrappers are rejected, 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.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoLowerObligation
2. SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseScoutObligation
3. SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseCoordinateLowerObligation
4. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator
5. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise
6. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator
7. SALD.cycle159GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisLowerObligation
8. hFrozenScalarBrownianItoEventFieldCoordinateSum
9. hFrozenScalarBrownianItoCoordinateGeneratorDef
10. appendix.tex:984-995
11. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. cycle 160 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 cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDag :
    List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.cycle160.middle_packet.brownian_stdbasis_from_frozen_scalar_ito_generator"
      interface := "Compiled middle theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator derives hEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDef from the named source-cited stochastic-generator interface hFrozenScalarBrownianItoGeneratorEventFieldDef by unfolding SALD.emFrozenScalarBrownianItoGeneratorEventField."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoLowerObligation",
        "SALD.emFrozenScalarBrownianItoGeneratorEventField",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator",
        "hFrozenScalarBrownianItoGeneratorEventFieldDef",
        "hEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDef",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseDefOfStdBasis",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianDefOfPointwise",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle160.remaining_frozen_scalar_brownian_ito_generator_event_field_def"
      interface := "Compiled lower_1 theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise derives hFrozenScalarBrownianItoGeneratorEventFieldDef from the smaller pointwise stochastic-generator display hFrozenScalarBrownianItoGeneratorEventFieldPointwiseDef by function extensionality over selected weak tests and state points."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseScoutObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise",
        "hFrozenScalarBrownianItoGeneratorEventFieldDef",
        "hFrozenScalarBrownianItoGeneratorEventFieldPointwiseDef",
        "SALD.emFrozenScalarBrownianItoGeneratorEventField",
        "eq:general_moving_target_SALD_frozen_interp",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle160.lower_2_packet.frozen_scalar_ito_pointwise_from_coordinate_generator"
      interface := "Compiled lower_2 theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator derives hFrozenScalarBrownianItoGeneratorEventFieldPointwiseDef from the smaller source-cited coordinate-generator pair hFrozenScalarBrownianItoEventFieldCoordinateSum plus hFrozenScalarBrownianItoCoordinateGeneratorDef by finite-sum congruence and unfolding SALD.emFrozenScalarBrownianItoGeneratorEventField."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseCoordinateLowerObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator",
        "SALD.emFrozenScalarBrownianItoGeneratorEventField",
        "hFrozenScalarBrownianItoEventFieldCoordinateSum",
        "hFrozenScalarBrownianItoCoordinateGeneratorDef",
        "eq:general_moving_target_SALD_frozen_interp",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle160.remaining_frozen_scalar_brownian_ito_coordinate_generator"
      interface := "Remaining exact source boundary after lower_2: prove hFrozenScalarBrownianItoEventFieldCoordinateSum, identifying the abstract EM Laplacian event field as the sum of frozen Brownian coordinate generator contributions, and hFrozenScalarBrownianItoCoordinateGeneratorDef, identifying each coordinate contribution with the corresponding diagonal second derivative. The proof route is the scalar Brownian/Ito generator for the frozen increment in eq:general_moving_target_SALD_frozen_interp: the drift contributes to the first-order transport field, the Brownian increment has covariance sigma_eta^2 I per unit s-time, and the second-order Taylor/Ito term gives the coordinate Hessian trace while the coefficient sigma_eta^2/2 remains outside this event field in the weak-FP action."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseCoordinateLowerObligation",
        "hFrozenScalarBrownianItoEventFieldCoordinateSum",
        "hFrozenScalarBrownianItoCoordinateGeneratorDef",
        "eq:general_moving_target_SALD_frozen_interp",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387",
        "Mathlib.Probability.Distributions.Gaussian.Real",
        "Mathlib.Probability.Moments.CovarianceBilin",
        "Mathlib.Analysis.InnerProductSpace.Laplacian"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle160.reviewer_frozen_scalar_brownian_ito_check"
      interface := "Reviewer check: accept only if the packet classification is narrows-source-cited-boundary, hEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDef is narrowed to hFrozenScalarBrownianItoGeneratorEventFieldDef through the compiled middle theorem, then to hFrozenScalarBrownianItoGeneratorEventFieldPointwiseDef through the compiled lower_1 theorem, and then to hFrozenScalarBrownianItoEventFieldCoordinateSum plus hFrozenScalarBrownianItoCoordinateGeneratorDef through the compiled lower_2 coordinate-generator theorem. Stale weak-FP source-field/trace-field/consumer wrappers are rejected, 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.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoLowerObligation",
        "SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseScoutObligation",
        "SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseCoordinateLowerObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator",
        "SALD.cycle159GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisLowerObligation",
        "hFrozenScalarBrownianItoEventFieldCoordinateSum",
        "hFrozenScalarBrownianItoCoordinateGeneratorDef",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := ["cycle 160 reviewer"]
      status := ProofStatus.obligation
    }
  ]

/-! ### Cycle 161: per-coordinate scalar Brownian Ito Taylor boundary -/

/-- Cycle-161 narrowing of the per-coordinate frozen scalar Brownian Ito generator.

The remaining cycle-160 coordinate-generator pair included the supplied
per-coordinate theorem `hFrozenScalarBrownianItoCoordinateGeneratorDef`.  This
packet exposes the smaller one-dimensional Brownian/Ito Taylor boundary along a
fixed standard Brownian coordinate.  The sibling coordinate-sum theorem remains
explicit.
-/

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