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README.md
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num_examples: 19924
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download_size: 1831496
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dataset_size: 10138967
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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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license: other
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license_name: cecill-b
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license_link: https://cecill.info/licences/Licence_CeCILL-B_V1-en.html
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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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- coq
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- mathcomp
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- algebra
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- mathematics
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size_categories:
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- 10K<n<100K
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---
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# Coq-MathComp
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Structured dataset from the Mathematical Components library (MathComp) for Coq.
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## Dataset Description
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- **Source:** [math-comp/math-comp](https://github.com/math-comp/math-comp) (v2.5.0)
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- **Entries:** 19,924
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- **Files processed:** 115
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- **License:** CeCILL-B
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## Schema
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| Column | Type | Description |
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|--------|------|-------------|
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| fact | string | Declaration body |
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| type | string | Lemma, Definition, HB.structure, HB.mixin, Canonical, etc. |
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| library | string | Module (algebra, boot, fingroup, character, etc.) |
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| imports | list | Require/Import statements |
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| filename | string | Source file path |
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| symbolic_name | string | Declaration identifier |
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## Statistics
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### By Type
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| Type | Count |
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|------|-------|
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| Lemma | 14,917 |
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| Definition | 2,850 |
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| Notation | 808 |
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| Canonical | 425 |
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| HB.instance | 247 |
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| Fixpoint | 138 |
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| Coercion | 116 |
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| Variant | 104 |
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| Theorem | 63 |
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| HB.structure | 51 |
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| HB.mixin | 50 |
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### By Library
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| Library | Count |
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|---------|-------|
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| algebra | 7,455 |
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| boot | 4,591 |
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| fingroup | 1,995 |
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| character | 1,864 |
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| solvable | 1,747 |
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| order | 1,197 |
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| field | 1,048 |
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## About MathComp
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Mathematical Components is a library of formalized mathematics for Coq, including algebra, number theory, and finite group theory. It uses the SSReflect proof language and Hierarchy Builder (HB) for structure definitions.
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## Use Cases
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- Retrieval/RAG for Coq/MathComp
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- Learning SSReflect patterns
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- Algebraic formalization research
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- Training embeddings for formal proofs
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## Related Datasets
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- [Coq-HoTT](https://huggingface.co/datasets/phanerozoic/Coq-HoTT)
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- [Coq-UniMath](https://huggingface.co/datasets/phanerozoic/Coq-UniMath)
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- [Coq-Stdlib](https://huggingface.co/datasets/phanerozoic/Coq-Stdlib)
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- [Coq-Iris](https://huggingface.co/datasets/phanerozoic/Coq-Iris)
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