mirror table is through void axiom free

theorem mirror_table_is_through_void_axiom_free :
  nonzero.all (fun d => (affineTable 8 1).getD (d % 9) 0 == tv d % 9) = true

Accepted by the Lean 4 kernel. The proof rests on propext.

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:304
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

• doubling and mirror are affine
• doubling and mirror are affine axiom free
• every axis digit mirrors an orbit digit
• every axis digit mirrors an orbit digit axiom free
• every mirror orbit sums to ten
• every mirror orbit sums to ten axiom free
• exactly two digits are their own mirror
• mirror is affine only off the void

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.