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 sunny if and only if it is snowing. James is a musician if and only if it is sunny. If it doesn't snow, then it is raining. James is not a musician.
If it is sunny, then it is snowing can be inferred via the biconditional elimination rule. If James were a musician, then it is sunny can be inferred via the biconditional elimination rule. If it snows, then it is sunny can be inferred via the biconditional elimination rule. If it is sunny, then James is a musician can be inferred via the biconditional elimination rule. It is not sunny can be inferred via the biconditional elimination rule.