AutoSamplingTheory.SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderDag

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 cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderDag :
    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.cycle162.middle_packet.one_dim_taylor_from_moment_remainder
interface : String (explicit)
Text describing intended mathematical interface.
Compiled theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder derives hFrozenScalarBrownianItoCoordinateGeneratorOneDimTaylor from a coordinate Taylor moment decomposition, quadratic-variation normalization, and vanishing normalized Taylor remainder, using SALD.gaussianRealZeroOneDimTaylorMomentContribution.
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.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderLowerObligation
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder
3. SALD.gaussianRealZeroOneDimTaylorMomentContribution
4. hFrozenScalarBrownianItoTaylorMomentDecomposition
5. hFrozenScalarBrownianItoQuadraticVariationNormalization
6. hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes
7. hFrozenScalarBrownianItoCoordinateGeneratorOneDimTaylor
8. eq:general_moving_target_SALD_frozen_interp
9. appendix.tex:984-995
10. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateGeneratorDefOfOneDimTaylor
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator
3. sald.general_moving_target_discrete.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.cycle162.remaining_normalized_taylor_remainder_boundary
interface : String (explicit)
Text describing intended mathematical interface.
Remaining exact source boundary after cycle 162: prove the selected-test second-order Taylor moment decomposition for one scalar Brownian coordinate, the Brownian quadratic-variation normalization after factoring sigma_eta^2/2 outside the event field, and the vanishing normalized Taylor remainder under C^2/integrability/dominated-convergence hypotheses.
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. hFrozenScalarBrownianItoTaylorMomentDecomposition
2. hFrozenScalarBrownianItoQuadraticVariationNormalization
3. hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes
4. Mathlib.Analysis.Calculus.Taylor
5. Mathlib.Analysis.Calculus.FDeriv.Basic
6. Mathlib.MeasureTheory.Integral.Bochner.Basic
7. eq:general_moving_target_SALD_frozen_interp
8. appendix.tex:984-995
9. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder
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.cycle162.lower_1_packet.normalized_taylor_remainder_dct_scout
interface : String (explicit)
Text describing intended mathematical interface.
Lower_1 proof-scout refinement: the next lower_2-ready theorem should target only the normalized Taylor remainder integral, not the whole scalar Brownian/Ito generator theorem. Expected compiled shape: SALD.gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfDCT, proving Tendsto (fun h => integral z, normalizedRemainder h z d gaussianReal 0 v) (nhdsWithin 0 (Set.Ioi 0)) (nhds 0) from eventual AEStronglyMeasurable, an eventual ae bound by an Integrable function, and ae pointwise Tendsto of normalizedRemainder h z to 0. The source C^2 Taylor step should then supply that pointwise limit via Mathlib Real.taylor_tendsto/taylor_isLittleO for r |-> selectedTest phi (x + r • e_i), while hFrozenScalarBrownianItoTaylorMomentDecomposition and hFrozenScalarBrownianItoQuadraticVariationNormalization remain separate source bookkeeping hypotheses.
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.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderScoutObligation
2. hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes
3. hFrozenScalarBrownianItoTaylorMomentDecomposition
4. hFrozenScalarBrownianItoQuadraticVariationNormalization
5. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder
6. MeasureTheory.tendsto_integral_filter_of_dominated_convergence
7. Real.taylor_tendsto
8. taylor_isLittleO
9. Mathlib.MeasureTheory.Integral.DominatedConvergence
10. Mathlib.Analysis.Calculus.Taylor
11. eq:general_moving_target_SALD_frozen_interp
12. appendix.tex:984-995
13. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder
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.cycle162.lower_2_packet.normalized_taylor_remainder_dct
interface : String (explicit)
Text describing intended mathematical interface.
Compiled lower_2 theorem: SALD.gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfDCT proves the normalized scalar Taylor remainder integral tends to zero under gaussianReal 0 v from eventual AEStronglyMeasurable, eventual a.e. domination by an integrable bound, and a.e. pointwise convergence to zero along nhdsWithin 0 (Set.Ioi 0). The remaining source theorem is the concrete selected-test scalar Taylor pointwise limit supplying hPoint, while hFrozenScalarBrownianItoTaylorMomentDecomposition and hFrozenScalarBrownianItoQuadraticVariationNormalization remain separate.
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.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderDctLowerObligation
2. SALD.gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfDCT
3. MeasureTheory.tendsto_integral_filter_of_dominated_convergence
4. MeasureTheory.AEStronglyMeasurable
5. MeasureTheory.Integrable
6. hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes
7. hFrozenScalarBrownianItoTaylorMomentDecomposition
8. hFrozenScalarBrownianItoQuadraticVariationNormalization
9. eq:general_moving_target_SALD_frozen_interp
10. appendix.tex:984-995
11. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder
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.cycle162.residual_coordinate_sum_boundary
interface : String (explicit)
Text describing intended mathematical interface.
Residual sibling boundary: hFrozenScalarBrownianItoEventFieldCoordinateSum remains explicit and is not changed by the scalar Taylor-remainder split.
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. hFrozenScalarBrownianItoEventFieldCoordinateSum
2. eq:general_moving_target_SALD_frozen_interp
3. appendix.tex:984-995
4. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator
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.cycle162.reviewer_taylor_remainder_check
interface : String (explicit)
Text describing intended mathematical interface.
Reviewer check: accept only if the packet is classified narrows-source-cited-boundary, the remaining hFrozenScalarBrownianItoTaylorRemainderGeneratorLimit boundary is split into a smaller normalized Taylor-remainder/decomposition theorem, hFrozenScalarBrownianItoEventFieldCoordinateSum stays explicit, and python3 tools/astis.py check passes.
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.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderLowerObligation
2. SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder
3. hFrozenScalarBrownianItoTaylorRemainderGeneratorLimit
4. hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes
5. hFrozenScalarBrownianItoEventFieldCoordinateSum
6. appendix.tex:984-995
7. appendix.tex:1379-1387
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. cycle 162 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 cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderDag :
    List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.cycle162.middle_packet.one_dim_taylor_from_moment_remainder"
      interface := "Compiled theorem: SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder derives hFrozenScalarBrownianItoCoordinateGeneratorOneDimTaylor from a coordinate Taylor moment decomposition, quadratic-variation normalization, and vanishing normalized Taylor remainder, using SALD.gaussianRealZeroOneDimTaylorMomentContribution."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderLowerObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder",
        "SALD.gaussianRealZeroOneDimTaylorMomentContribution",
        "hFrozenScalarBrownianItoTaylorMomentDecomposition",
        "hFrozenScalarBrownianItoQuadraticVariationNormalization",
        "hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes",
        "hFrozenScalarBrownianItoCoordinateGeneratorOneDimTaylor",
        "eq:general_moving_target_SALD_frozen_interp",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateGeneratorDefOfOneDimTaylor",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator",
        "sald.general_moving_target_discrete.em_interpolation_fp"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle162.remaining_normalized_taylor_remainder_boundary"
      interface := "Remaining exact source boundary after cycle 162: prove the selected-test second-order Taylor moment decomposition for one scalar Brownian coordinate, the Brownian quadratic-variation normalization after factoring sigma_eta^2/2 outside the event field, and the vanishing normalized Taylor remainder under C^2/integrability/dominated-convergence hypotheses."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "hFrozenScalarBrownianItoTaylorMomentDecomposition",
        "hFrozenScalarBrownianItoQuadraticVariationNormalization",
        "hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes",
        "Mathlib.Analysis.Calculus.Taylor",
        "Mathlib.Analysis.Calculus.FDeriv.Basic",
        "Mathlib.MeasureTheory.Integral.Bochner.Basic",
        "eq:general_moving_target_SALD_frozen_interp",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle162.lower_1_packet.normalized_taylor_remainder_dct_scout"
      interface := "Lower_1 proof-scout refinement: the next lower_2-ready theorem should target only the normalized Taylor remainder integral, not the whole scalar Brownian/Ito generator theorem. Expected compiled shape: SALD.gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfDCT, proving Tendsto (fun h => integral z, normalizedRemainder h z d gaussianReal 0 v) (nhdsWithin 0 (Set.Ioi 0)) (nhds 0) from eventual AEStronglyMeasurable, an eventual ae bound by an Integrable function, and ae pointwise Tendsto of normalizedRemainder h z to 0. The source C^2 Taylor step should then supply that pointwise limit via Mathlib Real.taylor_tendsto/taylor_isLittleO for r |-> selectedTest phi (x + r • e_i), while hFrozenScalarBrownianItoTaylorMomentDecomposition and hFrozenScalarBrownianItoQuadraticVariationNormalization remain separate source bookkeeping hypotheses."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderScoutObligation",
        "hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes",
        "hFrozenScalarBrownianItoTaylorMomentDecomposition",
        "hFrozenScalarBrownianItoQuadraticVariationNormalization",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder",
        "MeasureTheory.tendsto_integral_filter_of_dominated_convergence",
        "Real.taylor_tendsto",
        "taylor_isLittleO",
        "Mathlib.MeasureTheory.Integral.DominatedConvergence",
        "Mathlib.Analysis.Calculus.Taylor",
        "eq:general_moving_target_SALD_frozen_interp",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle162.lower_2_packet.normalized_taylor_remainder_dct"
      interface := "Compiled lower_2 theorem: SALD.gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfDCT proves the normalized scalar Taylor remainder integral tends to zero under gaussianReal 0 v from eventual AEStronglyMeasurable, eventual a.e. domination by an integrable bound, and a.e. pointwise convergence to zero along nhdsWithin 0 (Set.Ioi 0). The remaining source theorem is the concrete selected-test scalar Taylor pointwise limit supplying hPoint, while hFrozenScalarBrownianItoTaylorMomentDecomposition and hFrozenScalarBrownianItoQuadraticVariationNormalization remain separate."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderDctLowerObligation",
        "SALD.gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfDCT",
        "MeasureTheory.tendsto_integral_filter_of_dominated_convergence",
        "MeasureTheory.AEStronglyMeasurable",
        "MeasureTheory.Integrable",
        "hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes",
        "hFrozenScalarBrownianItoTaylorMomentDecomposition",
        "hFrozenScalarBrownianItoQuadraticVariationNormalization",
        "eq:general_moving_target_SALD_frozen_interp",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle162.residual_coordinate_sum_boundary"
      interface := "Residual sibling boundary: hFrozenScalarBrownianItoEventFieldCoordinateSum remains explicit and is not changed by the scalar Taylor-remainder split."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "hFrozenScalarBrownianItoEventFieldCoordinateSum",
        "eq:general_moving_target_SALD_frozen_interp",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := [
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle162.reviewer_taylor_remainder_check"
      interface := "Reviewer check: accept only if the packet is classified narrows-source-cited-boundary, the remaining hFrozenScalarBrownianItoTaylorRemainderGeneratorLimit boundary is split into a smaller normalized Taylor-remainder/decomposition theorem, hFrozenScalarBrownianItoEventFieldCoordinateSum stays explicit, and python3 tools/astis.py check passes."
      source := saldGeneralMovingTargetDiscreteWeakFpSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderLowerObligation",
        "SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder",
        "hFrozenScalarBrownianItoTaylorRemainderGeneratorLimit",
        "hFrozenScalarBrownianItoNormalizedTaylorRemainderVanishes",
        "hFrozenScalarBrownianItoEventFieldCoordinateSum",
        "appendix.tex:984-995",
        "appendix.tex:1379-1387"
      ]
      reusedBy := ["cycle 162 reviewer"]
      status := ProofStatus.obligation
    }
  ]

/-! ### Cycle 163: source Taylor pointwise limit for the scalar remainder -/

/-- Cycle-163 lower packet for the selected-test scalar Taylor pointwise limit.

The refreshed blueprint after cycle 162 names the source-specific `hPoint`
input of `gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfDCT` as
the next dynamic leaf.  This packet compiles the Mathlib Taylor step for the
one-dimensional line `r ↦ sourceTest (x + r • e)` and keeps the remaining
paper bookkeeping separate.
-/

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