Proofs — vector_behavior
Companion to the theorem/embedding bundle. Extracted from LeanDojo's traced tactics.
| file | contents |
|---|---|
proofs.json.gz |
{theorem: [{tactic, premises}, ...]} — the tactic script and the lemmas each step invokes |
proofs_full.json.gz |
the same, plus state_before / state_after per tactic |
import gzip, json
proofs = json.load(gzip.open("proofs.json.gz", "rt"))
p = proofs["Finpartition.energy_le_one"]
for step in p:
print(step["tactic"], " uses:", step["premises"])
Theorem names match results_shared/pool.json and every idx_to_name.json in the
bundle, so a row index in an embedding array maps straight to its proof.
Coverage
Not every theorem has a traced proof — many are proved by a single term or by automation that leaves no tactic trace. Coverage figures are printed when this file is generated and repeated at the bottom.
Please read this before using them
In the parent study, proofs are held back deliberately. They are the answer key: every claim about discovered structure is checked by asking whether the grouped pairs share proof premises, and that check has force only because no encoder was ever shown a proof.
If you use proofs to find structure, validate it with something else — human judgement, a held-out corpus, or the source-file organisation. Finding a pattern with proofs and confirming it with the same proofs proves nothing.
Coverage in this export
- 61,542 theorems with a tactic proof, 259,580 tactic steps
- 56,467 of the 99,552 pool theorems (56.7%)