What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x_17, x_17 will play a game if and only if x_17 will play squash. For all x_17, x_17 is poor. There is at least one x_17 for which x_17 will drive a car or x_17 will play squash. For all x_17, if x_17 drives a car, then x_17 is playing a game. For all x_17, if x_17 were poor, then x_17 is cooking.
For all x_17, x_17 will cook can be inferred via the universal modus ponens rule. For all x_17, if x_17 plays a game, then x_17 is playing squash can be inferred via the universal biconditional elimination rule. For all x_17, if x_17 plays squash, then x_17 is playing a game can be inferred via the universal biconditional elimination rule.