README.md

metadata

license: other
task_categories:
  - text-generation
  - feature-extraction
language:
  - en
tags:
  - theorem-proving
  - formal-methods
  - redtt
  - cubical-type-theory
  - homotopy-type-theory
size_categories:
  - 10K<n<100K
dataset_info:
  features:
    - name: fact
      dtype: string
    - name: statement
      dtype: string
    - name: proof
      dtype: string
    - name: type
      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
  splits:
    - name: train
      num_examples: 501
  config_name: default
configs:
  - config_name: default
    data_files:
      - split: train
        path: data/train-*

redtt

Declarations from redtt, a cubical/computational type theory system.

Source

• Repository: https://github.com/RedPRL/redtt
• Commit: ae76658873a647eb43d8cf84365a9d68e9a3273c
• Files: 66
• License: other

Schema

Column	Type	Description
fact	string	Verbatim declaration with the leading keyword removed: signature and body/proof joined
statement	string	Signature with the leading keyword removed (verbatim slice)
proof	string	Verbatim proof/body, empty if 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 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

Statistics

• Entries: 501
• With proof: 501 (100.0%)
• With docstring: 19 (3.8%)
• Libraries: 6

By type

Type	Count
def	478
data	23

Example

biinv-equiv→iso (A B : type) : biinv-equiv A B → iso A B =
  λ (f,(g,α),h,β) →
  let β' (a : A) : path _ (g (f a)) a =
    λ i →
    comp 0 1 (h (α (f a) i)) [
    | i=0 j → β (g (f a)) j
    | i=1 j → β a j
    ]
  in
  (f,g,α,β')

• type: def | symbolic_name: biinv-equiv→iso | library/basics/biinv-equiv.red:12

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

@misc{redtt_dataset,
  title  = {redtt},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/RedPRL/redtt, commit ae76658873a6},
  url    = {https://huggingface.co/datasets/phanerozoic/redtt}
}