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 Linda is a poet. Linda is a poet if and only if it is windy. If it is windy, then it is sunny. Linda is not a poet.
It is not sunny can be inferred via the modus tollens rule. If it is windy, then Linda is a poet can be inferred via the transitivity rule. If Linda were a poet, then it is windy can be inferred via the biconditional elimination rule. If it is windy, then Linda is a poet can be inferred via the biconditional elimination rule. It is not windy can be inferred via the biconditional elimination rule.