Consider the following premises. For all x_11, x_11 will cook. Robert is a carpenter if and only if Joseph is playing a game. Joseph is not playing a game. Can we infer the following from them? If we can, name the inference rule being used: Jessica is cooking.
 From the fact that Robert is a carpenter if and only if Joseph is playing a game, and that Joseph is not playing a game we can infer that Robert is not a carpenter via biconditional elimination. Finally, from the fact that for all x_11, x_11 will cook we can infer that Jessica is cooking via universal instantiation. Therefore, the answer is yes.