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the four pairs are one nine two eight three seven four six

lean
theorem the_four_pairs_are_one_nine_two_eight_three_seven_four_six :
  tv 1 = 9 ∧ tv 2 = 8 ∧ tv 3 = 7 ∧ tv 4 = 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.

sourcelean/DigitSpace.lean:199
archivedoi:10.5281/zenodo.22178675 — the concept DOI, resolving to the newest release
corpusevery statement · the ledger
reproducegit clone https://github.com/ceccec/zeropoint-node && npm run lean:check

Speaks of the same objects as

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.