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

AutoSamplingTheory.SALD.cycle13FirstAppendixSourceIndexAuditContract

Data definition / provenance and workflow record

Meaning and type

The result has data type AutoSamplingTheory.SALD.FirstAppendixSourceIndexAuditContract. 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 cycle13FirstAppendixSourceIndexAuditContract :
    FirstAppendixSourceIndexAuditContract

Construction and field-by-field explanation

Construct a data record from explicit fields and the audited defaults shown below.

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.

sourceIndexPath : String (explicit)

Descriptive text even when field names say formula, theorem, inequality, derivative, source gap, or proof.

research-wiki/source-index/SALD_original.jsonl
sourceRoot : String (explicit)

Descriptive text even when field names say formula, theorem, inequality, derivative, source gap, or proof.

AutoSamplingTheory.SALD.saldPaperRoot — audited data reference, not expanded and not a compiled dependency edge
excludedFiles : List String (explicit)

Ordered descriptive/naming checklist, not logical conjunction or compiler dependency list.

Ordered data items

  1. sald_version_2.tex
indexedLabels : List String (explicit)

Ordered descriptive/naming checklist, not logical conjunction or compiler dependency list.

Ordered data items

  1. appendix.tex:47 lem:gronwall
  2. appendix.tex:73 lem:dv_variation
  3. appendix.tex:86 def:PI
  4. main_body.tex:202 eq:LSI-KL-FI
sourceLineMap : List String (explicit)

Ordered descriptive/naming checklist, not logical conjunction or compiler dependency list.

Ordered data items

  1. lem:gronwall -> appendix.tex:47-71, integrating-factor proof on [0,t1].
  2. lem:dv_variation -> appendix.tex:73-79, Boucheron Corollary 4.15 with finite log-mgf condition.
  3. def:PI -> appendix.tex:86-94, variance bound with constant C_PI > 0.
  4. eq:LSI-KL-FI -> main_body.tex:202-215, LSI definition, phi=sqrt(rho/pi), KL/FI vocabulary, and coefficient 1/(2*C_LSI).
leanContractMap : List String (explicit)

Ordered descriptive/naming checklist, not logical conjunction or compiler dependency list.

Ordered data items

  1. lem:gronwall -> SALD.gronwallContract, SALD.saldGronwallCandidateContract, SALD.saldGronwallEndpointCalculusContract.
  2. lem:dv_variation -> SALD.dvContract, SALD.saldDvFiniteLogMgfContract, dvVariationalObligation saldDvVariationSource.
  3. def:PI -> SALD.piDefinitionContract, SALD.saldPIContract, SALD.saldPiVelocityNormDependencyContract.
  4. eq:LSI-KL-FI -> SALD.lsiKlFiVocabularyContract, SALD.saldKLContract, SALD.saldFIContract, SALD.saldLSIContract, SALD.saldLsiKlFiDensityTestContract.
obligationMap : List String (explicit)

Ordered descriptive/naming checklist, not logical conjunction or compiler dependency list.

Ordered data items

  1. lem:gronwall remains sald.gronwall.integrating_factor and sald.gronwall.endpoint_calculus obligations.
  2. lem:dv_variation remains probability.dv_variational_formula source-cited plus sald.dv_variation.finite_log_mgf_interface.
  3. def:PI is contract-only; appendix.tex:96-151 velocity-norm use remains sald.pi.velocity_norm_backend.
  4. eq:LSI-KL-FI remains sald.lsi_kl_fi.density_test_interface and probability.lsi_to_kl_fi obligations.
lowerPacket : List String (explicit)

Ordered descriptive/naming checklist, not logical conjunction or compiler dependency list.

Ordered data items

  1. Choose one focus label and refine its existing contract/obligation only.
  2. Use the source-index line as the first citation in any conversion-window or proof-obligation update.
  3. Keep sald_version_2.tex excluded and do not add labels outside the original source root.
  4. Leave theorem contracts for thm:forward-KL and later SALD results unchanged.
reviewerChecklist : List String (explicit)

Ordered descriptive/naming checklist, not logical conjunction or compiler dependency list.

Ordered data items

  1. The source-index file contains all four focus labels with the listed line numbers.
  2. No SourceAnchor path points to sald_version_2.tex.
  3. Each focus label maps to a Lean-facing contract and an honest non-formalized status.
  4. The mandatory source-index and check commands pass.
status : AutoSamplingTheory.ProofStatus (explicit)

Stored workflow tag; honor the exact default but do not infer mathematical certification.

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 cycle13FirstAppendixSourceIndexAuditContract :
    FirstAppendixSourceIndexAuditContract where
  sourceIndexPath := "research-wiki/source-index/SALD_original.jsonl"
  sourceRoot := saldPaperRoot
  excludedFiles := ["sald_version_2.tex"]
  indexedLabels := [
    "appendix.tex:47 lem:gronwall",
    "appendix.tex:73 lem:dv_variation",
    "appendix.tex:86 def:PI",
    "main_body.tex:202 eq:LSI-KL-FI"
  ]
  sourceLineMap := [
    "lem:gronwall -> appendix.tex:47-71, integrating-factor proof on [0,t1].",
    "lem:dv_variation -> appendix.tex:73-79, Boucheron Corollary 4.15 with finite log-mgf condition.",
    "def:PI -> appendix.tex:86-94, variance bound with constant C_PI > 0.",
    "eq:LSI-KL-FI -> main_body.tex:202-215, LSI definition, phi=sqrt(rho/pi), KL/FI vocabulary, and coefficient 1/(2*C_LSI)."
  ]
  leanContractMap := [
    "lem:gronwall -> SALD.gronwallContract, SALD.saldGronwallCandidateContract, SALD.saldGronwallEndpointCalculusContract.",
    "lem:dv_variation -> SALD.dvContract, SALD.saldDvFiniteLogMgfContract, dvVariationalObligation saldDvVariationSource.",
    "def:PI -> SALD.piDefinitionContract, SALD.saldPIContract, SALD.saldPiVelocityNormDependencyContract.",
    "eq:LSI-KL-FI -> SALD.lsiKlFiVocabularyContract, SALD.saldKLContract, SALD.saldFIContract, SALD.saldLSIContract, SALD.saldLsiKlFiDensityTestContract."
  ]
  obligationMap := [
    "lem:gronwall remains sald.gronwall.integrating_factor and sald.gronwall.endpoint_calculus obligations.",
    "lem:dv_variation remains probability.dv_variational_formula source-cited plus sald.dv_variation.finite_log_mgf_interface.",
    "def:PI is contract-only; appendix.tex:96-151 velocity-norm use remains sald.pi.velocity_norm_backend.",
    "eq:LSI-KL-FI remains sald.lsi_kl_fi.density_test_interface and probability.lsi_to_kl_fi obligations."
  ]
  lowerPacket := [
    "Choose one focus label and refine its existing contract/obligation only.",
    "Use the source-index line as the first citation in any conversion-window or proof-obligation update.",
    "Keep sald_version_2.tex excluded and do not add labels outside the original source root.",
    "Leave theorem contracts for thm:forward-KL and later SALD results unchanged."
  ]
  reviewerChecklist := [
    "The source-index file contains all four focus labels with the listed line numbers.",
    "No SourceAnchor path points to sald_version_2.tex.",
    "Each focus label maps to a Lean-facing contract and an honest non-formalized status.",
    "The mandatory source-index and check commands pass."
  ]
  status := ProofStatus.obligation

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