AutoSamplingTheory.SALD.saldPiSource
Data definition / provenance and workflow record
Meaning and type
The result has data type AutoSamplingTheory.SourceAnchor. 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 saldPiSource : SourceAnchorConstruction 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.
Use the audited localTexAnchor field mapping.
key:String(helper-argument)Stable source/group identifier; multiple anchors may share it.
sald-original-appendixkind:AutoSamplingTheory.SourceKind(helper-fixed)SourceKind taxonomy tag identifying paper/localTex/externalLean/mathlib/citedResult/experimentNote.
AutoSamplingTheory.SourceKind.localTex— stored label only; no proof certificationpathOrUrl:String(helper-argument)Recorded location string; may be a local source path, package path, or URL. Existence and revision are not certified by the field.
Concatenate these expressions without evaluating them
AutoSamplingTheory.SALD.saldPaperRoot— audited data reference, not expanded and not a compiled dependency edge- /appendix.tex
label:String(helper-argument)Recorded equation/theorem/proof label or declaration/search target. It may be composite or descriptive, not necessarily a resolvable Lean declaration.
def:PInote:String(helper-argument)Human-authored scope, line-range, reuse, or caveat text. It is stored prose, not a checked assertion.
appendix.tex lines 86-94: Poincare inequality vocabulary.
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 saldPiSource : SourceAnchor :=
localTexAnchor "sald-original-appendix" (saldPaperRoot ++ "/appendix.tex") "def:PI"
"appendix.tex lines 86-94: Poincare inequality vocabulary."Existing module entry · Audited data-reader index · All teaching coverage