Lean4-Paperproof

Structured dataset from Paperproof — Visual proof assistant.

Source

• Repository: https://github.com/Paper-Proof/paperproof
• Commit: c944afd12974e745b26f803acf67af02e7820271
• Files: 30
• License: mit

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: 150
• With proof: 135 (90.0%)
• With docstring: 9 (6.0%)
• Libraries: 7

By type

Type	Count
theorem	90
def	41
structure	11
inductive	5
elab	3

Example

simple_ex (n m : ℕ)
  (h1 : ∀ {a b : Nat}, a + b = b + a)
  (h2 : ∀ {a b : Nat}, a = b + b):
    n + m = m + n
by
  simp [h1, h2]

• type: theorem | symbolic_name: simple_ex | Examples.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_paperproof_dataset,
  title  = {Lean4-Paperproof},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/Paper-Proof/paperproof, commit c944afd12974},
  url    = {https://huggingface.co/datasets/phanerozoic/Lean4-Paperproof}
}