AMSLinter.lean`

Explanation legend Lean4 Domain Explanation Language (L4DEL)

L4DEL explanations are a separate layer. They do not change the Lean source. Intuition is explanatory prose; numbered items are a reading path; sources link the wording back to evidence.

L4DEL: Lean4 Domain Explanation Language

Annotation provenance. This overlay contains 10 curated AI-written annotations and 7190 mechanical source-derived annotations. They have not been human-reviewed as explanations; treat them as unverified and not mathematical authority. Retained generation history: The 71 original curated annotations were produced in a Claude Sonnet 5.5 session at medium effort; Claude Opus 5.5 is recorded in that session as the advisor model, not the direct author. The bulk source-derived expansion was generated mechanically from pinned source comments by tooling developed in a GPT-5.6 Sol session at ultra reasoning; GPT-5.6 Sol did not originate the quoted source prose. On 2026-10-17 the mechanically generated source-comment annotations of the Formal Conjectures, Carleson, FLT, PFR, CompFiles, Mathematics in Lean and Theorem Proving in Lean overlays were regenerated by the same generator after three corrections made in a Claude Sonnet 5.5 session: titles no longer cut a sentence inside mathematics or end on a dangling word, workflow markers are removed from the quoted prose, and declaration names follow the scanner's namespace resolution. The boilerplate step line was dropped, and comments that were only a row of dashes no longer yield annotations. No new prose was written and no human review is claimed.

Credit: The upstream authors and contributors retain credit for the project and mathematics. lean4-explainer only renders their pinned source and adds the separately disclosed explanation layer.

Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

3 declarations, 0 contain sorry, 0 declared as axioms

The AMS Linter

The AMSLinter is a linter to aid with formatting contributions to the Formal Conjectures repository by ensuring that results in a file have the appropriate subject tags.

Imports (3)

Imported by 2 files

def AMSLinter.toAMS Checks if a command has the AMS attribute line 42 source
Source documentation
Checks if a command has the AMS attribute.

standard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses: Lean.TSyntax, List.cons, Lean.SyntaxNodeKind, Lean.Name.mkStr4, List.nil, Lean.Elab.Command.CommandElabM, Array, Lean.TSyntaxArray, Lean.Name.mkStr1
Proof uses: ite, Eq, Bool, Lean.Syntax.isOfKind, Lean.TSyntax.raw, Bool.true, Lean.Syntax, Lean.Syntax.getArg, OfNat.ofNat, Nat, Lean.Syntax.matchesNull, Option, Array.mapM, Lean.TSyntax.mk, Option.some, Array.getSepElems, Lean.Syntax.getArgs, Array.filterMapM, Lean.Name.mkStr2, Lean.TSyntaxArray.mk and 12 more
9 instances, coercions and auxiliary constants left out.
```
def toAMS (stx : TSyntax ``Command.declModifiers) :
    CommandElabM (Array <| TSyntaxArray `num) := do
…
```
def AMSLinter.mkAMSSyntax line 52 source
standard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses: Lean.TSyntaxArray, List.cons, Lean.SyntaxNodeKind, Lean.Name.mkStr1, List.nil, Lean.Elab.Command.CommandElabM, Lean.TSyntax, Lean.Name.mkStr4
Proof uses: Bind.bind, Lean.SourceInfo, Lean.MonadRef.mkInfoFromRefPos, Lean.MacroScope, Lean.MonadQuotation.getCurrMacroScope, Lean.Name, Lean.MonadQuotation.getContext, Pure.pure, Lean.Elab.Command.Context, StateRefT', IO.RealWorld, Lean.Elab.Command.State, EIO, Lean.Exception, Lean.TSyntax.mk, Lean.Syntax.node2, Lean.Syntax.node1, Lean.Syntax.node, Array.mkArray0, Lean.Syntax and 4 more
8 instances, coercions and auxiliary constants left out.
def AMSLinter.AMSLinter The problem category linter checks that every theorem/lemma/example has been given an AMS attribute line 57 source
Source documentation
The problem category linter checks that every theorem/lemma/example has been given an AMS attribute.

standard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses: Lean.Elab.Command.Linter
Proof uses: Lean.Elab.Command.Linter.mk, Lean.withSetOptionIn, Lean.Syntax, ite, Lean.Elab.Command.CommandElabM, Unit, Eq, Bool, Lean.Syntax.isOfKind, Lean.Name.mkStr4, Bool.true, Lean.Syntax.getArg, OfNat.ofNat, Nat, cond, Bool.or, Bool.false, Lean.Syntax.matchesNull, Lean.TSyntax, List.cons and 58 more
31 instances, coercions and auxiliary constants left out.
```
def AMSLinter : Linter where
…
```