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: Michael is a politician. Thomas is a writer if and only if Patricia is a bartender. Patricia is not a bartender.
Michael is a politician and Patricia is not a bartender can be inferred via the conjunction rule. Patricia is not a bartender and Michael is a politician can be inferred via the conjunction rule. If Thomas were a writer, then Patricia is a bartender can be inferred via the biconditional elimination rule. If Patricia were a bartender, then Thomas is a writer can be inferred via the biconditional elimination rule. Thomas is not a writer can be inferred via the biconditional elimination rule.