Qed.

Lemma conflict_beta_theta :
forall (intr : Trajectory) (evad : EvaderTrajectory) (T : TimeT),
h intr = V ->
(MinDistance T <= l intr evad T)%R ->
(l intr evad T <= MaxDistance T)%R ->
Omega (beta intr evad T + thetat intr 0) = false ->
conflict intr evad T = true ->
(beta intr evad T + thetat intr 0 <= MinBeta)%R \/
(2 * PI - MinBeta < beta intr evad T + thetat intr 0)%R.