# Case 05: Single normal form with added rewrites

Self-authored synthetic review scenario, not a published software claim or customer assertion. The source material is public and pinned to `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`.

## Proposed claim

Finding one term normal form guarantees system-wide termination after adding beta-eta and application-specific rewrite rules.

Review the [declared model and statuses](input.json) against the source. Cases 09/10 deliberately supply synthetic statuses to test documentary completeness. Those statuses are not authenticated evidence or proven hypotheses. Other cases explicitly leave operational obligations unknown.

## Source pointers

- [lean/docs/245.md](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/docs/245.md), SHA-256 `d05302b4c350e522680f61473d849ae2eae567d20a73da624948f533fee813f6`.
- [preprints/Weak-and-strong-normalization-in-pure-type-systems-September-25-2026/paper.pdf](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Weak-and-strong-normalization-in-pure-type-systems-September-25-2026/paper.pdf), SHA-256 `9db295a439634e3169700af595760553afafc9c5db979de9d2ac27a534af63ef`.

Pointers identify exact files, not a new complete-file reading, theorem proof or selected-run certificate. Determine the statement, hypotheses, formal coverage and missing model/implementation bridges from the source itself.

## Review fields

Record preparation seconds, material gaps with exact evidence locations, unsure items, false alarms after adjudication and correction seconds in the [blank result template](../review-results-template.json). Do not open the report/key during the source-only arm. No expert has completed either arm.