Theorem ails_alarm_tau_gt0 : forall (intr : Trajectory) (evad : EvaderTrajectory) (T : TimeT), h intr = V -> h (tr evad) = V -> (MinDistance T <= l intr evad T)%R -> (l intr evad T <= MaxDistance T)%R -> Omega (beta intr evad T + thetat intr 0) = false -> (0 < tau (measure2state intr 0) (measure2state (tr evad) 0) 0)%R -> conflict intr evad T = true -> ails_alert (measure2state intr 0) (measure2state (tr evad) 0).