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 Jennifer were an office clerk, then Patricia is playing tennis. Patricia is playing tennis if and only if John is an astronaut. If Patricia plays tennis, then Jennifer is an office clerk.
Jennifer is an office clerk if and only if Patricia is playing tennis can be inferred via the biconditional introduction rule. Patricia is playing tennis if and only if Jennifer is an office clerk can be inferred via the biconditional introduction rule. If Patricia plays tennis, then John is an astronaut can be inferred via the biconditional elimination rule. If John were an astronaut, then Patricia is playing tennis can be inferred via the biconditional elimination rule.