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 y, if y were bored, then y is a carpenter. For all y, y is a carpenter if and only if y is bored. For all y, if y were a carpenter, then y is bored.
For all y, y is bored if and only if y is a carpenter can be inferred via the universal biconditional introduction rule. For all y, y is a carpenter if and only if y is bored can be inferred via the universal biconditional introduction rule. For all y, if y were a carpenter, then y is bored can be inferred via the universal biconditional elimination rule. For all y, if y were bored, then y is a carpenter can be inferred via the universal biconditional elimination rule.