# Verification report

The five-page English manuscript gives a complete attributed corollary
for finite Artin presentations satisfying the strict triple condition.
The unmodified Martin-Przytycki coned-off action is strongly largest
exactly when every standard generator has a finite-labelled neighbour.
The known ABO free-product combination handles isolated generators.

The originating researcher's written self-audit checks the finite edge
quotient, transfer between the simplicial complex and its graph metric,
universal ellipticity of whole stabilizer subgroups via Osin's trichotomy,
the direction of the domination order, the isolated-generator obstruction,
and the strong hypotheses needed for the free-product combination.
A second stabilizer argument uses infinite centre together with embedded
Z^2, not the invalid infinite-centre-only inference for cyclic groups.

The exact Python controls cover 15,756 finite labelled presentations,
eight fixtures and the mixed-label MP example's finite quotient ranks.
Normal and optimized Python agree. These are finite hypothesis and
graph-bookkeeping regressions, not a proof of the infinite-group action
or formal verification of the mathematical argument.

The desktop LaTeX compiler reports success. The exported five-page PDF
was rendered and every page visually inspected. The final TeX log has
no errors, undefined references, missing glyphs or box warnings. Title,
author footnote, equations, theorem, proof, scope and bibliography are
legible without clipping. File integrity, source archive contents and
portable checks are bound by manifest.json and the readiness receipt.

The original broad AIM Question 4.5 is not resolved. The result is a
consequence of explicitly credited published theorems. The known
large-type overlap and MP example are disclosed. Novelty confidence is
low; originality and absolute priority are not certified. This is an
AI-assisted, self-audited, unrefereed preprint without independent review
or proof-assistant verification. Publication does not add a full-source
closure to the research counts.
