whole axis and root nine is exactly thirty six

theorem whole_axis_and_root_nine_is_exactly_thirty_six :
  ∀ b ∈ List.range 100, (((b * 3) % 12 = 0 ∧ (b * 6) % 12 = 0 ∧ (b * 9) % 12 = 0) ∧ b % 9 = 0) ↔ b % 36 = 0

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:152
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

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.