Consider the following premises. There is at least one x for which x will not drive a car. For all x, if x plays squash, then x is playing a game. For all x, if x plays a game, then x is playing squash. For all x, x will drive a car if and only if x will play squash. Can we infer the following from them? For all x, x will play a game.
 From the fact that for all x, x will drive a car if and only if x will play squash, and that there is at least one x for which x will not drive a car we can infer that there is at least one x for which x will not play squash. From the fact that for all x, if x plays a game, then x is playing squash, and that for all x, if x plays squash, then x is playing a game we can infer that for all x, x will play a game if and only if x will play squash. Finally, from the fact that for all x, x will play a game if and only if x will play squash, and that there is at least one x for which x will not play squash we can infer that there is at least one x for which x will not play a game, which contradicts that For all x, x will play a game. Therefore, the answer is no.