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: It is snowing if and only if Michael is listening to a song. John is not climbing a mountain. If Michael plays squash, then John is climbing a mountain. For all x, x will listen to a song if and only if x will play squash.
Michael is not playing squash can be inferred via the modus tollens rule. If it snows, then Michael is listening to a song can be inferred via the biconditional elimination rule. If Michael listens to a song, then it is snowing can be inferred via the biconditional elimination rule. For all x, if x listens to a song, then x is playing squash can be inferred via the universal biconditional elimination rule. For all x, if x plays squash, then x is listening to a song can be inferred via the universal biconditional elimination rule.