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

Theorem no_conflict_lt_min : let MinDistance := (2 * r_vi * sin (rho_vi * (T / 2)) - ConflictRange)%R in (0 <= rho_vi * T)%R -> (rho_vi * T < 2)%R -> (l < MinDistance)%R -> conflict T = false.