README.md

metadata

license: other
task_categories:
  - text-generation
  - feature-extraction
language:
  - en
tags:
  - theorem-proving
  - formal-methods
  - arend
size_categories:
  - 10K<n<100K
dataset_info:
  features:
    - 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: source_url
      dtype: string
    - name: commit
      dtype: string
  splits:
    - name: train
      num_examples: 2690
  config_name: default
configs:
  - config_name: default
    data_files:
      - split: train
        path: data/train-*

Arend

Declarations from Arend.

Source

• Repository: https://github.com/JetBrains/arend-lib
• Commit: 373ed3c493f40a6b7b04a6b81c4e809338e568c4
• Files: 280
• License: other

Schema

Column	Type	Description
statement	string	Declaration signature/claim with the leading keyword removed (verbatim slice); the full declaration minus its proof
proof	string	Verbatim proof/body, empty if the declaration has 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 Require/Import modules
deps	list[string]	Intra-corpus identifiers referenced
docstring	string	Preceding documentation comment, empty if absent
source_url	string	Upstream repository
commit	string	Upstream commit extracted

Statistics

• Entries: 2,690
• With proof: 2,682 (99.7%)
• With docstring: 0 (0.0%)
• Libraries: 53

By type

Type	Count
\func	968
\lemma	920
\class	334
\instance	249
\record	93
\data	59
\type	37
\sfunc	12
\cons	9
\meta	7
\axiom	2

Example

Mono
\extends Map
  | isMono {x : C} {g h : Hom x dom} : f ∘ g = f ∘ h -> g = h
  \where {
    \func comp {C : Precat} {x y z : C} (g : Mono {C} {y} {z}) (f : Mono {C} {x} {y}) : Mono {C} {x} {z} (g.f ∘ f) \cowith
      | isMono p => f.isMono (g.isMono (inv o-assoc *> p *> o-assoc))
  }

• type: \record | symbolic_name: Mono | src/Category.ard

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

@misc{arend_dataset,
  title  = {Arend},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/JetBrains/arend-lib, commit 373ed3c493f4},
  url    = {https://huggingface.co/datasets/phanerozoic/Arend}
}