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 cloudy if and only if Joseph is an artist. It is sunny if and only if it is snowing. It is sunny if and only if Joseph is an artist. It is not snowing.
If it is cloudy, then Joseph is an artist can be inferred via the biconditional elimination rule. If it is sunny, then it is snowing can be inferred via the biconditional elimination rule. If it is sunny, then Joseph is an artist can be inferred via the biconditional elimination rule. If Joseph were an artist, then it is cloudy can be inferred via the biconditional elimination rule. If it snows, then it is sunny can be inferred via the biconditional elimination rule. If Joseph were an artist, then it is sunny can be inferred via the biconditional elimination rule. It is not sunny can be inferred via the biconditional elimination rule.