AutoSamplingTheory.SALD.firstAppendixSourceIndexAuditObligation

Data definition / provenance and workflow record

Meaning and type

The result has data type AutoSamplingTheory.ProofObligation. 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 firstAppendixSourceIndexAuditObligation : ProofObligation

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.

id : String (explicit)

Stable obligation identifier.

sald.first_appendix.source_index_audit

statement : String (explicit)

Desired mathematical or workflow content as String; it is not a proposition in Prop and the def does not prove it.

Maintain the first appendix/vocabulary source-index audit for lem:gronwall, lem:dv_variation, def:PI, and eq:LSI-KL-FI: each source label must be indexed from the original SALD paper, mapped to an existing Lean-facing contract, and left at its honest non-formalized status unless a local proof builds.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldAppendixSource — audited data reference, not expanded and not a compiled dependency edge

status : AutoSamplingTheory.ProofStatus (explicit)

Stored ProofStatus, default obligation; even an explicitly stored formalized does not independently certify a Lean theorem.

AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification

dependsOn : List String (explicit)

List of declared dependency names as strings; may mix theorem names, obligations, source labels, or descriptions. Not the compiled dependency DAG.

Ordered data items

SALD.cycle13FirstAppendixVocabularyPacket
SALD.cycle13FirstAppendixSourceIndexAuditContract
SALD.cycle17FirstAppendixVocabularyPacket
SALD.cycle17FirstAppendixMiddleAuditContract
SALD.cycle21FirstAppendixVocabularyPacket
SALD.cycle21FirstAppendixMiddleAuditContract
SALD.cycle25FirstAppendixVocabularyPacket
SALD.cycle25FirstAppendixMiddleAuditContract
SALD.cycle29FirstAppendixVocabularyPacket
SALD.saldFirstProofDag
SALD.gronwallContract
SALD.dvContract
SALD.piDefinitionContract
SALD.lsiKlFiVocabularyContract
research-wiki/source-index/SALD_original.jsonl

note : String (explicit)

Recorded evidence/caveats; may distinguish a compiled scalar helper from still-open source analysis.

This is a source-index synchronization obligation, not a mathematical theorem. Cycles 17, 21, 25, and 29 reuse it for the same first-appendix focus while keeping sald_version_2.tex excluded and not promoting Gronwall, DV, PI velocity bounds, or LSI-to-KL/FI beyond their current statuses.

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 firstAppendixSourceIndexAuditObligation : ProofObligation where
  id := "sald.first_appendix.source_index_audit"
  statement := "Maintain the first appendix/vocabulary source-index audit for lem:gronwall, lem:dv_variation, def:PI, and eq:LSI-KL-FI: each source label must be indexed from the original SALD paper, mapped to an existing Lean-facing contract, and left at its honest non-formalized status unless a local proof builds."
  source := saldAppendixSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle13FirstAppendixVocabularyPacket",
    "SALD.cycle13FirstAppendixSourceIndexAuditContract",
    "SALD.cycle17FirstAppendixVocabularyPacket",
    "SALD.cycle17FirstAppendixMiddleAuditContract",
    "SALD.cycle21FirstAppendixVocabularyPacket",
    "SALD.cycle21FirstAppendixMiddleAuditContract",
    "SALD.cycle25FirstAppendixVocabularyPacket",
    "SALD.cycle25FirstAppendixMiddleAuditContract",
    "SALD.cycle29FirstAppendixVocabularyPacket",
    "SALD.saldFirstProofDag",
    "SALD.gronwallContract",
    "SALD.dvContract",
    "SALD.piDefinitionContract",
    "SALD.lsiKlFiVocabularyContract",
    "research-wiki/source-index/SALD_original.jsonl"
  ]
  note := "This is a source-index synchronization obligation, not a mathematical theorem. Cycles 17, 21, 25, and 29 reuse it for the same first-appendix focus while keeping sald_version_2.tex excluded and not promoting Gronwall, DV, PI velocity bounds, or LSI-to-KL/FI beyond their current statuses."

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