against the rule是介词词组; 而be against the rule是动词词组。用法不一样。I drive the car against the rule. 我违规驾驶。I am against the rule. 我违规。或是理解为我反对这规定。(be against 有“反对”一意)精锐松江
没有区别,第二个是完整句型, Smoking here is against the rule, 在这里吸烟是违反规则的