In the below proof, I cannot figure out how we get the final inequality. Namely, how do we show that $$P[\tau_i^n - \tau_{i-1}^n \ge \delta' | \tau_q^n < m] \ge 1-\eta/P[\tau_q^n < m]$$ from (16.29)?
2026-03-30 05:29:14.1774848554
Understanding a probability inequality from Billingsley's Converegence of Probability Measures
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