Lean

1 program Added 2025-10-22T13:19:22Z Model: anthropic/claude-3.5-sonnetTemp: 0.4 Evidence Report issue View issues
Aliases: Lean Prover, Lean 4
Provenance: commit dada93fb9e · authored 2025-10-22T15:19:22+02:00 · model anthropic/claude-3.5-sonnet

Sources mentioning this language

8 sources · pl_id: pl/lean
LLM (this repo) · 1PldbLinguistPygmentsWikipediaHyperpolyglotRosettacodeWikidata · Q6509476

Wikipedia infobox

Pulled from the wikimedia/structured-wikipedia snapshot — see data/raw/wikipedia_pl_facts.*.jsonl and pl_fact.csv for the long-table provenance.

Paradigmsstrict purely functional · dependently typed
Typingstatic, strong, inferred
Designed byLean FRO · Leonardo de Moura
First appeared2013
Influenced byML · Rocq (formerly named Coq) · Haskell
LicenseApache 2.0
Implemented inLean · C++
Homepagehttp://lean-lang.org

Extensions claimed by this language

3 claims. Each row is one upstream assertion with its strength. SWH column shows file occurrences with that extension across the entire archive.
ExtensionSourceStrengthSWH
.leanlinguistprimary1.0M files
.leanpygmentsprimary1.0M files
.hleanlinguistsecondary7.0K files

Related languages

Lean 4 (0.33)Lean4 (0.33)Tamarin (0.26)Aya (0.25)Lever (0.20)

LLM-contributed programs

Natural Number Addition Properties

Provenance: commit dada93fb9e · authored 2025-10-22T15:19:22+02:00 · model anthropic/claude-3.5-sonnet · Temp 0.4
code.lean · license: Apache-2.0 · added: 2025-10-22T13:19:22Z
theorem add_zero (n : Nat) : n + 0 = n := rfl

theorem zero_add (n : Nat) : 0 + n = n := by
  induction n with
  | zero => rfl
  | succ n ih => simp [add_succ, ih]

theorem add_succ (n m : Nat) : n + Nat.succ m = Nat.succ (n + m) := by
  induction n with
  | zero => simp [zero_add]
  | succ n ih => simp [add_succ, ih]

theorem succ_add (n m : Nat) : Nat.succ n + m = Nat.succ (n + m) := rfl

theorem add_comm (n m : Nat) : n + m = m + n := by
  induction n with
  | zero => simp [zero_add]
  | succ n ih => simp [add_succ, ih, succ_add]

Real programs from Software Heritage

No SWH evidence indexed yet for this language. (Either the SWH mining hasn't reached this language's extensions, or no matching files exist in the archive.)

Disambiguation rules

Linguist heuristic rules that predict this language when one of its claimed extensions is shared with another.
RuleExtKindPredicates (truncated)
h/linguist/.lean/0.leanpredicates[{"kind": "any", "regexes": ["^import [a-z]"]}]

Contribute — propose a file extension

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