--- license: mit task_categories: - text-generation - feature-extraction language: - en tags: - theorem-proving - formal-methods - coq - quickchick - testing - property-based-testing - quickcheck size_categories: - 1K nat -> nat -> Prop := | between_n : forall n m, le n m -> between n (S n) (S (S m)) | between_S : forall n m o, between n m o -> between n (S m) (S o). ``` - type: Inductive | symbolic_name: `between` | benchmarks/BST/BST.v ## 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 ```bibtex @misc{coq_quickchick_dataset, title = {Coq-QuickChick}, author = {Norton, Charles}, year = {2026}, note = {Extracted from https://github.com/QuickChick/QuickChick, commit 5a6c291b11e9}, url = {https://huggingface.co/datasets/phanerozoic/Coq-QuickChick} } ```