the digit root nine sum does not single out the axis

theorem the_digit_root_nine_sum_does_not_single_out_the_axis :
  (triples.filter (fun t => dr (t.foldl (· + ·) 0) == 9)).length = 10

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:484
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

• astronomical unit has digital root three
• base frequency has digital root nine
• dr and drTS differ at zero
• dr idempotent
• dr invariant under nine
• dr is drTS above zero
• four triples are closed under the mirror
• light year has digital root nine

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.