Definition hx (t : R) : R := (r_vi * sin (rho_vi * t))%R.

Lemma no_conflict_lt_min_t : forall t : R, let MinDistance := (2 * r_vi * sin (rho_vi * (t / 2)) - ConflictRange)%R in (0 <= t)%R -> (0 <= rho_vi * t)%R -> (rho_vi * t < 2)%R -> (l < MinDistance)%R -> (ConflictRange < e t)%R.