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: Thomas is not a carpenter. Elisabeth is an electrician. For all x_16, x_16 is a taxi driver if and only if x_16 is a carpenter. Thomas is a taxi driver if and only if it is late.
Thomas is not a carpenter and Elisabeth is an electrician can be inferred via the conjunction rule. Elisabeth is an electrician and Thomas is not a carpenter can be inferred via the conjunction rule. If Thomas were a taxi driver, then it is late can be inferred via the biconditional elimination rule. If it is late, then Thomas is a taxi driver can be inferred via the biconditional elimination rule. For all x_16, if x_16 were a taxi driver, then x_16 is a carpenter can be inferred via the universal biconditional elimination rule. For all x_16, if x_16 were a carpenter, then x_16 is a taxi driver can be inferred via the universal biconditional elimination rule.