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: Michael is making tea if and only if it is overcast. Michael is not making tea. If Thomas listens to a song, then it is windy. If it is windy, then it is overcast.
If Thomas listens to a song, then it is overcast can be inferred via the transitivity rule. If Michael makes tea, then it is overcast can be inferred via the biconditional elimination rule. If it is overcast, then Michael is making tea can be inferred via the biconditional elimination rule. It is not overcast can be inferred via the biconditional elimination rule.