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 bored if and only if Joseph is a musician. If Thomas were not bored, then it is overcast. If Thomas were bored, then Joseph is a musician. Joseph is not a musician.
Thomas is not bored can be inferred via the modus tollens rule. If Thomas were bored, then Joseph is a musician can be inferred via the biconditional elimination rule. If Joseph were a musician, then Thomas is bored can be inferred via the biconditional elimination rule. Thomas is not bored can be inferred via the biconditional elimination rule.