theorem fragility_total {ρ : ℝ} (hρ : ρ ≤ 0) : fragilityIndex J ρ = 1 := by simp only [fragilityIndex] rw [knockout_total_failure hρ (by omega : 0 < 1)] ring
thesis/CESProofs/Potential/FirmScope.lean:173
Propositions 12-17 and Corollary 5: