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Add dataset card

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  ---
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- dataset_info:
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- features:
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- - name: fact
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- dtype: string
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- - name: type
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- dtype: string
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- - name: library
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- dtype: string
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- - name: imports
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- list: string
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- - name: filename
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- dtype: string
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- - name: symbolic_name
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- dtype: string
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- - name: docstring
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- dtype: string
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- splits:
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- - name: train
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- num_bytes: 111483726
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- num_examples: 193047
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- download_size: 26854373
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- dataset_size: 111483726
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- configs:
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- - config_name: default
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- data_files:
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- - split: train
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- path: data/train-*
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  ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  ---
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+ license: apache-2.0
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+ task_categories:
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+ - text-generation
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+ - feature-extraction
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+ language:
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+ - en
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+ tags:
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+ - theorem-proving
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+ - formal-methods
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+ - lean4
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+ - mathlib
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+ - mathematics
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+ size_categories:
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+ - 100K<n<1M
 
 
 
 
 
 
 
 
 
 
 
 
 
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  ---
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+
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+ # Mathlib4
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+
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+ Structured dataset of mathematical formalizations from the Mathlib4 library for Lean 4.
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+
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+ ## Dataset Description
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+
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+ - **Source:** [leanprover-community/mathlib4](https://github.com/leanprover-community/mathlib4)
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+ - **Entries:** 193,047
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+ - **Files processed:** 6,943
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+ - **License:** Apache 2.0
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+
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+ ## Schema
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+
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+ | Column | Type | Description |
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+ |--------|------|-------------|
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+ | fact | string | Full declaration body |
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+ | type | string | theorem, lemma, def, class, structure, instance, inductive, abbrev, axiom |
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+ | library | string | Top-level Mathlib module (Algebra, Analysis, Topology, etc.) |
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+ | imports | list | Import statements from source file |
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+ | filename | string | Source file path within Mathlib |
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+ | symbolic_name | string | Declaration identifier |
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+ | docstring | string | Documentation comment (30% coverage) |
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+
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+ ## Statistics
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+
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+ ### By Type
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+ | Type | Count | Percentage |
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+ |------|-------|------------|
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+ | theorem | 111,804 | 57% |
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+ | lemma | 36,970 | 19% |
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+ | def | 27,965 | 14% |
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+ | instance | 10,322 | 5% |
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+ | abbrev | 2,570 | 1% |
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+ | class | 1,710 | 1% |
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+ | structure | 1,387 | 1% |
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+ | inductive | 310 | <1% |
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+
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+ ### By Library (Top 10)
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+ | Library | Count |
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+ |---------|-------|
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+ | Algebra | 30,936 |
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+ | Analysis | 20,343 |
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+ | Data | 20,327 |
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+ | CategoryTheory | 18,553 |
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+ | Topology | 16,800 |
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+ | Order | 13,686 |
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+ | RingTheory | 12,566 |
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+ | LinearAlgebra | 9,279 |
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+ | MeasureTheory | 8,927 |
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+ | Combinatorics | 4,949 |
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+
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+ ### Docstring Coverage
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+ | Type | With Docstring |
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+ |------|----------------|
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+ | def | 98% |
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+ | class | 98% |
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+ | structure | 93% |
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+ | theorem | 15% |
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+ | lemma | 14% |
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+
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+ ## Use Cases
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+
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+ - Retrieval / RAG for Lean 4 theorem proving
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+ - Mathematical content search and exploration
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+ - Training embeddings for formal mathematics
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+ - Documentation generation
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+ - Semantic search over mathematical definitions
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+
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+ ## Example Entry
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+
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+
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+
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+ ## Citation
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+
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+ If you use this dataset, please cite Mathlib:
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+
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+