(** Since applying a theorem with hypotheses to some goal has the
    effect of generating as many subgoals as there are hypotheses for
    that theorem, we can apply [and_intro] to achieve the same effect
    as [split]. *)

Example and_example' : 3 + 4 = 7 /\ 2 * 2 = 4.(** **** Exercise: 2 stars (and_exercise)  *)
Example and_exercise :
  forall n m : nat, n + m = 0 -> n = 0 /\ m = 0.

Lemma or_example : forall n m : nat, n = 0 \/ m = 0 -> n * m = 0.