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 soldier, then Jennifer is making tea. If Jennifer makes tea, then Michael is a soldier. If Michael were a soldier, then Thomas is a writer. If Thomas were a writer, then Jennifer is making tea.
If Jennifer makes tea, then Thomas is a writer can be inferred via the transitivity rule. If Michael were a soldier, then Jennifer is making tea can be inferred via the transitivity rule. If Thomas were a writer, then Michael is a soldier can be inferred via the transitivity rule. Michael is a soldier if and only if Jennifer is making tea can be inferred via the biconditional introduction rule. Jennifer is making tea if and only if Michael is a soldier can be inferred via the biconditional introduction rule.