intervals1 = [[0,2],[5,10],[13,23],[24,25]]
intervals2 = [[1,5],[8,12],[15,24],[25,26]]

def get_intersection(interval1, interval2):
    new_min = max(interval1[0], interval2[0])
    new_max = min(interval1[1], interval2[1])
    return [new_min, new_max] if new_min <= new_max else None

interval_intersection = [x for x in (get_intersection(y, z) for y in intervals1 for z in intervals2) if x is not None]
print(interval_intersection)