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_15, x_15 will not play a game. For all x_15, x_15 is bored if and only if x_15 is a musician. For all x_15, x_15 will play a game or x_15 is not bored. Thomas is a musician if and only if Sarah is excited.
If Thomas were a musician, then Sarah is excited can be inferred via the biconditional elimination rule. If Sarah were excited, then Thomas is a musician can be inferred via the biconditional elimination rule. For all x_15, if x_15 were bored, then x_15 is playing a game can be inferred via the universal rewriting rule. For all x_15, if x_15 were bored, then x_15 is a musician can be inferred via the universal biconditional elimination rule. For all x_15, if x_15 were a musician, then x_15 is bored can be inferred via the universal biconditional elimination rule.