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_7, x_7 is an astronaut if and only if x_7 will play a game. If Jennifer were an astronaut, then William is playing tennis.
For all x_7, if x_7 were an astronaut, then x_7 is playing a game can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 plays a game, then x_7 is an astronaut can be inferred via the universal biconditional elimination rule.