Consider the following premises. Barbara is not playing a game. Barbara is playing a game if and only if it is cold. Patricia is playing tennis or it is cold. Can we infer the following from them? Patricia is not playing tennis.
 From the fact that Barbara is playing a game if and only if it is cold, and that Barbara is not playing a game we can infer that it is not cold. From the fact that Patricia is playing tennis or it is cold we can infer that if it is not cold, then Patricia is playing tennis. Finally, from the fact that if it is not cold, then Patricia is playing tennis, and that it is not cold we can infer that Patricia is playing tennis, which contradicts that Patricia is not playing tennis. Therefore, the answer is no.