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: If Karen were a politician, then Sarah is playing tennis. For all z_3, z_3 is excited if and only if z_3 will play a game. Karen is a politician. Susan is not playing a game.
Sarah is playing tennis can be inferred via the modus ponens rule. Karen is a politician and Susan is not playing a game can be inferred via the conjunction rule. Susan is not playing a game and Karen is a politician can be inferred via the conjunction rule. For all z_3, if z_3 were excited, then z_3 is playing a game can be inferred via the universal biconditional elimination rule. For all z_3, if z_3 plays a game, then z_3 is excited can be inferred via the universal biconditional elimination rule.