## Problem 264 — rank:110

**Title:** Evolutionary stability of engineered functions

**Added binding assumptions (LaTeX):**

```latex
For retention through generation $G$ inclusive, use $T_{\rm loss}>G$; loss exactly at $G$ fails that endpoint. Fix the initial functional fraction and the census convention, including recovery after transient silencing. Population bottlenecks and lineage dependence enter the full loss-time law. A lower confidence bound is evaluated across independent populations and must include uncertainty in unobserved failure routes within the declared model envelope.
```

**Direct edits:** 1. **Fresh external checks:** None; supplied sources retained as provenance.