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lean4-theorem-value-access

Fix missing theorem proof terms when analyzing Lean 4 environments via importModules. Use when: (1) ConstantInfo.value? returns none for theorems despite TheoremVal.value being Expr, (2) building code graph / dependency extractor for Lean 4 and getting 0 proof dependency edges, (3) Lean 4.30+ project where theorem proofs appear missing from loaded environment, (4) analyzing Mathlib or any Lean 4 project and proof terms are empty. Root cause: breaking change in Lean 4.30 — value? treats theorems as opaque by default.

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Lean 4.30+ Theorem Value Access Breaking Change

Problem

When loading a Lean 4 environment via importModules and iterating over constants, ConstantInfo.value? returns none for ALL theorems, even though the proof terms are present in the .olean.private files and loaded into memory.

Context / Trigger Conditions

  • Building a Lean 4 code analyzer, dependency extractor, or proof graph tool
  • Using importModules to load an environment (e.g., Mathlib)
  • ci.value? returns none for .thmInfo constants
  • 0 proof dependency edges in output despite theorems existing
  • Lean toolchain version is 4.30.0-rc1 or later

Root Cause

Breaking change between Lean 4.29.1 and 4.30.0-rc2 in ConstantInfo.value?:

-- Lean 4.29.1 (old behavior):
| .thmInfo  {value, ..}   => some value

-- Lean 4.30.0-rc2 (new behavior):
| .thmInfo  {value, ..}   => if allowOpaque then some value else none

In 4.30+, theorems are treated the same as opaqueInfo — their values are hidden unless allowOpaque := true is explicitly passed. The default allowOpaque = false causes value? to return none for all theorems.

The proof terms ARE loaded into memory (.olean.private files contain them, and importModules loads at OLeanLevel.private by default). The data is there — the accessor just hides it.

Solution

Option A: Pass allowOpaque := true (simplest fix)

if let some val := ci.value? (allowOpaque := true) then
  -- val is the proof term

Option B: Pattern match directly (most reliable)

let valInfo := match ci with
  | .defnInfo v => some (v.value, "VALUE_USES")
  | .thmInfo v  => some (v.value, "PROOF_USES")
  | _           => none
if let some (val, edgeType) := valInfo then
  let deps := val.getUsedConstantsAsSet
  -- process deps

Option B is preferred for tools that need to distinguish definition bodies from proof terms, since allowOpaque := true conflates theorems with opaque declarations.

Verification

-- This should print true for theorems in Lean 4.30+:
let some ci := env.find? `SomeTheorem | ...
match ci with
| .thmInfo v =>
  eprintln s!"value? default: {ci.value?.isSome}"           -- false
  eprintln s!"value? opaque:  {(ci.value? (allowOpaque := true)).isSome}" -- true
  eprintln s!"direct access:  {v.value.getUsedConstants.size}"  -- >0
| _ => ...

Related Facts

  • .olean files have THREE levels: .olean (public), .olean.server (IDE), .olean.private (full proofs)
  • importModules defaults to OLeanLevel.private — proofs are loaded
  • Expr.foldConsts signature: (e : Expr) (init : α) (f : Name → α → α) : α — Name is first arg, accumulator second
  • Expr.getUsedConstantsAsSet returns NameSet (= Std.TreeSet Name), NOT NameHashSet (= HashSet Name)
  • NameSet doesn't have .fold — use for dep in nameSet do instead
  • Mathlib scale: 354K declarations, 11.3M edges (including 4.4M PROOF_USES)

Notes

  • This change aligns with proof irrelevance: for type checking, proof content doesn't matter. Tools that DO need proofs (checkers, analyzers, graph builders) must opt in.
  • The value! function also changed — it panics for theorems unless allowOpaque := true.
  • ConstantInfo.getUsedConstantsAsSet (on ConstantInfo, not Expr) also uses value? internally, so it will miss proof dependencies too.

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