cubicaltt

Declarations from cubicaltt, an experimental cubical type theory.

Source

• Repository: https://github.com/mortberg/cubicaltt
• Commit: 9baa6f2491cc61dbd4fd81d58323c04100381451
• Files: 78
• 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: 1,874
• With proof: 1,874 (100.0%)
• With docstring: 316 (16.9%)
• Libraries: 3

By type

Type	Count
def	1,829
data	44
hdata	1

Example

propisAssociative (M : U) (sM : set M) (op : M -> M -> M)
  : prop (isAssociative M op)
= let
    B (a b c : M) : U
      = Path M (op a (op b c)) (op (op a b) c)
    h (a b c : M) : prop (B a b c)
      = sM (op a (op b c)) (op (op a b) c)
  in propPi3 M B h

• type: def | symbolic_name: propisAssociative | examples/algstruct.ctt

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{cubicaltt_dataset,
  title  = {cubicaltt},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/mortberg/cubicaltt, commit 9baa6f2491cc},
  url    = {https://huggingface.co/datasets/phanerozoic/cubicaltt}
}