(*** Verifiable in MuPAD ***)
Axiom
  cos_beta_NOT_Alpha :
    Alpha (beta intr evad T) = false ->
    h intr = V ->
    h (tr evad) = V ->
    (MinDistance T <= l intr evad T)%R ->
    (l intr evad T <= MaxDistance T)%R ->
    (cos (beta intr evad T) <= cos MinBeta)%R.

(* Specifications: *)
Lemma tau_le_0_diverg : (tau (measure2state intr 0) (measure2state (tr evad) 0) 0 <= 0)%R -> (d intr evad <= RR (measure2state intr 0) (measure2state (tr evad) 0) T)%R.
Lemma R_T_d_diff_0 : h (tr evad) = V -> (0 < l intr evad T)%R -> (d intr evad <= RR (measure2state intr 0) (measure2state (tr evad) 0) T)%R -> (cos (beta intr evad T + thetat intr 0) <= cos (beta intr evad T))%R.
Lemma R_T_d_diff_1 : h (tr evad) = V -> (cos (beta intr evad T + thetat intr 0) <= cos (beta intr evad T))%R -> (d intr evad <= RR (measure2state intr 0) (measure2state (tr evad) 0) T)%R.
Lemma cos_no_conflict : h intr = V -> h (tr evad) = V -> Alpha (beta intr evad T) = false -> (MinDistance T <= l intr evad T)%R -> (l intr evad T <= MaxDistance T)%R -> (cos (beta intr evad T + thetat intr 0) <= cos (beta intr evad T))%R -> Omega (thetat intr 0 + beta intr evad T) = false -> conflict intr evad T = false.
Theorem ails_no_conflict_tau_le0 : h intr = V -> h (tr evad) = V -> (MinDistance T <= l intr evad T)%R -> (l intr evad T <= MaxDistance T)%R -> (AlertRange < d intr evad)%R -> Omega (thetat intr 0 + beta intr evad T) = false -> (tau (measure2state intr 0) (measure2state (tr evad) 0) 0 <= 0)%R -> conflict intr evad T = false.