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 it is sunny, then Michael is listening to a song. If Robert were a mechanic, then it is sunny. It is overcast if and only if Michael is listening to a song.
If Robert were a mechanic, then Michael is listening to a song can be inferred via the transitivity rule. If it is overcast, then Michael is listening to a song can be inferred via the biconditional elimination rule. If Michael listens to a song, then it is overcast can be inferred via the biconditional elimination rule.