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: For all z, z is a carpenter if and only if z is bored. There is at least one z for which z is a carpenter. For all z, z is a poet.
Some carpenters are poets can be inferred via the existential conjunction rule. Some poets are carpenters can be inferred via the existential conjunction rule. For all z, if z were a carpenter, then z is bored can be inferred via the universal biconditional elimination rule. For all z, if z were bored, then z is a carpenter can be inferred via the universal biconditional elimination rule.