Datasets:

phanerozoic
/

Lean4-Mathlib

@@ -1,121 +1,130 @@
----
-license: apache-2.0
-task_categories:
-- text-generation
-- feature-extraction
-language:
-- en
-tags:
-- theorem-proving
-- formal-methods
-- lean4
-- mathlib
-- mathematics
-size_categories:
-- 100K<n<1M
-dataset_info:
-  features:
-  - name: fact
-    dtype: string
-  - name: type
-    dtype: string
-  - name: library
-    dtype: string
-  - name: imports
-    list: string
-  - name: filename
-    dtype: string
-  - name: symbolic_name
-    dtype: string
-  - name: docstring
-    dtype: string
-  splits:
-  - name: train
-    num_bytes: 110117432
-    num_examples: 193047
-  download_size: 26646919
-  dataset_size: 110117432
-configs:
-- config_name: default
-  data_files:
-  - split: train
-    path: data/train-*
----
-# Mathlib4
-Structured dataset of mathematical formalizations from the Mathlib4 library for Lean 4.
-## Dataset Description
-- **Source:** [leanprover-community/mathlib4](https://github.com/leanprover-community/mathlib4)
-- **Entries:** 193,047
-- **Files processed:** 6,943
-- **License:** Apache 2.0
-## Schema
-| Column | Type | Description |
-|--------|------|-------------|
-| fact | string | Full declaration body |
-| type | string | theorem, lemma, def, class, structure, instance, inductive, abbrev, axiom |
-| library | string | Top-level Mathlib module (Algebra, Analysis, Topology, etc.) |
-| imports | list | Import statements from source file |
-| filename | string | Source file path within Mathlib |
-| symbolic_name | string | Declaration identifier |
-| docstring | string | Documentation comment (30% coverage) |
-## Statistics
-### By Type
-| Type | Count | Percentage |
-|------|-------|------------|
-| theorem | 111,804 | 57% |
-| lemma | 36,970 | 19% |
-| def | 27,965 | 14% |
-| instance | 10,322 | 5% |
-| abbrev | 2,570 | 1% |
-| class | 1,710 | 1% |
-| structure | 1,387 | 1% |
-| inductive | 310 | <1% |
-### By Library (Top 10)
-| Library | Count |
-|---------|-------|
-| Algebra | 30,936 |
-| Analysis | 20,343 |
-| Data | 20,327 |
-| CategoryTheory | 18,553 |
-| Topology | 16,800 |
-| Order | 13,686 |
-| RingTheory | 12,566 |
-| LinearAlgebra | 9,279 |
-| MeasureTheory | 8,927 |
-| Combinatorics | 4,949 |
-### Docstring Coverage
-| Type | With Docstring |
-|------|----------------|
-| def | 98% |
-| class | 98% |
-| structure | 93% |
-| theorem | 15% |
-| lemma | 14% |
-## Use Cases
-- Retrieval / RAG for Lean 4 theorem proving
-- Mathematical content search and exploration
-- Training embeddings for formal mathematics
-- Documentation generation
-- Semantic search over mathematical definitions
-## Example Entry
-## Citation
-If you use this dataset, please cite Mathlib:

+---
+license: apache-2.0
+task_categories:
+  - text-generation
+  - feature-extraction
+language:
+  - en
+tags:
+  - theorem-proving
+  - formal-methods
+  - lean4
+  - mathlib
+  - mathematics
+size_categories:
+  - 100K<n<1M
+dataset_info:
+  features:
+  - {name: fact, dtype: string}
+  - {name: statement, dtype: string}
+  - {name: proof, dtype: string}
+  - {name: type, dtype: string}
+  - {name: kind, 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: line_start, dtype: int64}
+  - {name: line_end, dtype: int64}
+  - {name: has_proof, dtype: bool}
+  - {name: source_url, dtype: string}
+  - {name: commit, dtype: string}
+  - {name: content_level, dtype: string}
+  splits:
+  - {name: train, num_examples: 322745}
+  config_name: default
+configs:
+- config_name: default
+  data_files:
+  - split: train
+    path: data/train-*
+---
+# Lean4-Mathlib
+Structured dataset of mathematical formalizations from the Mathlib4 library for Lean 4.
+## Source
+- Repository: https://github.com/leanprover-community/mathlib4
+- Commit: `b9f14353520df73472ae3825fb53f86559a01319`
+- Files: 8170
+- License: apache-2.0
+## Schema
+| Column | Type | Description |
+|--------|------|-------------|
+| fact | string | Verbatim declaration: statement followed by proof where present |
+| statement | string | Verbatim statement (keyword through the closing period) |
+| proof | string | Verbatim proof block (`Proof. ... Qed.`/`Defined.`), empty if none |
+| type | string | Raw declaration keyword |
+| kind | string | Normalized kind |
+| 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, null if absent |
+| line_start | int | First source line |
+| line_end | int | Last source line |
+| has_proof | bool | Whether a proof block was captured |
+| source_url | string | Upstream repository |
+| commit | string | Upstream commit extracted |
+| content_level | string | `statement+proof` |
+## Statistics
+- Entries: 322,745
+- With proof: 182,164 (56.4%)
+- With docstring: 69,271 (21.5%)
+- Libraries: 1106
+### By type
+| Type | Count |
+|---|---|
+| theorem | 169,373 |
+| lemma | 71,480 |
+| def | 43,147 |
+| instance | 29,137 |
+| abbrev | 3,785 |
+| class | 2,373 |
+| structure | 2,022 |
+| example | 532 |
+| inductive | 342 |
+| elab | 202 |
+| macro | 186 |
+| elab_rules | 83 |
+| macro_rules | 80 |
+| opaque | 3 |
+## Example
+```coq
+theorem infinite_of_charZero (R A : Type*) [CommRing R] [Ring A] [Algebra R A]
+    [CharZero A] : { x : A | IsAlgebraic R x }.Infinite := by
+  letI := MulActionWithZero.nontrivial R A
+  exact infinite_of_injective_forall_mem Nat.cast_injective isAlgebraic_nat
+```
+- kind: theorem | symbolic_name: `infinite_of_charZero` | Mathlib/Algebra/AlgebraicCard.lean:32
+## Use
+Statement and proof are available both joined (`fact`) and split (`statement`, `proof`) for
+proof-term modeling, autoformalization, retrieval, and dependency analysis via `deps`.
+## Citation
+```bibtex
+@misc{lean4_mathlib_dataset,
+  title  = {Lean4-Mathlib},
+  author = {Norton, Charles},
+  year   = {2026},
+  note   = {Extracted from https://github.com/leanprover-community/mathlib4, commit b9f14353520d},
+  url    = {https://huggingface.co/datasets/phanerozoic/Lean4-Mathlib}
+}
+```

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