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 Michael were a server, then Linda is a carpenter. It is late if and only if it is cloudy. If it is cloudy, then Sarah is an office clerk. It is late if and only if Linda is a carpenter.
If it is late, then it is cloudy can be inferred via the biconditional elimination rule. If it is late, then Linda is a carpenter can be inferred via the biconditional elimination rule. If it is cloudy, then it is late can be inferred via the biconditional elimination rule. If Linda were a carpenter, then it is late can be inferred via the biconditional elimination rule.