four triples are closed under the mirror
lean
theorem four_triples_are_closed_under_the_mirror :
triples.filter closedUnderMirror = [[1, 5, 9], [2, 5, 8], [3, 5, 7], [4, 5, 6]]Accepted by the Lean 4 kernel. The proof rests on no axioms at all.
Proven means three things together: the kernel accepted the file, the proof contains no sorry, and #print axioms reports a dependency set within {propext, Quot.sound}. The dependency set above is the evidence, recorded per theorem rather than summarised.
| source | lean/DigitSpace.lean:471 |
| archive | doi:10.5281/zenodo.22178675 — the concept DOI, resolving to the newest release |
| corpus | every statement · the ledger |
| reproduce | git clone https://github.com/ceccec/zeropoint-node && npm run lean:check |
Speaks of the same objects as
- no triple is closed under both maps
- the axis is the only triple closed under doubling
- the digit root nine sum does not single out the axis
- there are eighty four triples
What this does not establish
A theorem is a statement the kernel accepted. It says nothing about whether the surrounding package is useful, whether the idea is novel, or whether anything physical follows. Novelty is a universal negative no finite search decides; a dated deposit establishes priority, which is the defensible claim.