README.md

metadata

license: apache-2.0
task_categories:
  - text-generation
  - feature-extraction
language:
  - en
tags:
  - theorem-proving
  - formal-methods
  - lean4
  - batteries
  - standard-library
size_categories:
  - 1K<n<10K
dataset_info:
  features:
    - name: statement
      dtype: string
    - name: proof
      dtype: string
    - name: type
      dtype: string
    - name: symbolic_name
      dtype: string
    - name: library
      dtype: string
    - name: filename
      dtype: string
    - name: imports
      list: string
    - name: deps
      list: string
    - name: docstring
      dtype: string
    - name: source_url
      dtype: string
    - name: commit
      dtype: string
  splits:
    - name: train
      num_examples: 3061
  config_name: default
configs:
  - config_name: default
    data_files:
      - split: train
        path: data/train-*

Lean4-Batteries

Structured dataset from Lean 4 Batteries - the community standard library extensions.

Source

• Repository: https://github.com/leanprover-community/batteries
• Commit: 41680f5d84023c7406c841d08ef83bf15a9782a6
• Files: 187
• License: apache-2.0

Schema

Column	Type	Description
statement	string	Declaration signature/claim with the leading keyword removed (verbatim slice); the full declaration minus its proof
proof	string	Verbatim proof/body, empty if the declaration has none
type	string	Declaration keyword
symbolic_name	string	Declaration identifier
library	string	Sub-library
filename	string	Repository-relative source path
imports	list[string]	File-level Require/Import modules
deps	list[string]	Intra-corpus identifiers referenced
docstring	string	Preceding documentation comment, empty if absent
source_url	string	Upstream repository
commit	string	Upstream commit extracted

Statistics

• Entries: 3,061
• With proof: 2,965 (96.9%)
• With docstring: 1,199 (39.2%)
• Libraries: 35

By type

Type	Count
theorem	1,874
def	1,005
abbrev	48
structure	37
elab	30
inductive	24
class	22
macro	11
instance	9
opaque	1

Example

Function.id_def : @id α = fun x => x
rfl

/-! ## decidable -/

protected alias ⟨Decidable.exists_not_of_not_forall, _⟩ := Decidable.not_forall

• type: theorem | symbolic_name: Function.id_def | Batteries/Logic.lean

Use

Each declaration is split into a statement (signature/claim) and a proof (body) that are disjoint and together form the complete declaration, for proof modeling, autoformalization, retrieval, and dependency analysis via deps.

Citation

@misc{lean4_batteries_dataset,
  title  = {Lean4-Batteries},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/leanprover-community/batteries, commit 41680f5d8402},
  url    = {https://huggingface.co/datasets/phanerozoic/Lean4-Batteries}
}