# LIB2-032 — The frozen H2 conditions do not select the coefficient map

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.171)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

At the frozen H2 tier, two disjoint symbolic candidates of rank 2 pass the same 13 gates and 30 controls, and no banked selection polynomial separates them.

## Caution

A higher-tier Sjoint, if supplied, may still derive the coefficients; the present countermodels do not exclude it.

## Primary source

Appendix E, §8, C0 independence theorem, PDF p.177: "At the frozen H2 tier the six-coefficient freedom is countermodel-grade: two disjoint symbolic rank-2 candidates pass all 13 gates and 30 controls identically, and no banked selection polynomial separates them"

## Machine

- url: /library-v2/LIB2-032/
- content_sha256: 1059963442cf9df8b765b6459a8245428ce33e2d7986d305e8e1ef0700ba47d7
- candidate_ids: C2-118

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP