# Verification and scope report

The six-page manuscript gives a written proof that the union of the common support lines of three pairwise disjoint convex subsets of R^3 has Lebesgue outer measure zero. This is the exact assertion of source record OWR-2090-028, not its neighboring stronger manifold-cover conjecture.

The originating-researcher audit checks the local convex graph at a corner, strict diagonal and small cross gap variations, fixed-point existence and Lipschitz dependence, equivalence to genuine support lines, measurability, the two-sided density-point argument without differentiating contact points, the rank obstruction, and the countable reductions for lower-dimensional and nonclosed sets. The specialized external input is Ivanov's full-line boundary-segment theorem as stated in Makai-Soltan's Lemma 2 proof.

The exact standard-library diagnostic checks 30,720 distinct-contact rank cases and 289 nonsmooth chart models, plus a coincident-contact regression and rational contraction bounds. Normal and optimized executions agree. They are executions of the same implementation, not independent algorithms. These finite tests are not a proof assistant or a substitute for the analytic proof.

Eight complete source pages and all six final manuscript pages were visually reviewed. The saved source compiles with the desktop LaTeX compiler and Tectonic. The upload package is intended to contain no third-party PDFs.

No mathematical gap was found in this self-audit. The preprint is unrefereed and AI-assisted. No independent human review, formal certification, or exhaustive novelty determination is asserted. The full scope, source comparison and audit are included in the reproducibility folder.