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: Elisabeth is a scientist if and only if Richard is a sailor. Joseph is not bored. Joseph is bored if and only if Elisabeth is a scientist.
If Elisabeth were a scientist, then Richard is a sailor can be inferred via the biconditional elimination rule. If Joseph were bored, then Elisabeth is a scientist can be inferred via the biconditional elimination rule. If Richard were a sailor, then Elisabeth is a scientist can be inferred via the biconditional elimination rule. If Elisabeth were a scientist, then Joseph is bored can be inferred via the biconditional elimination rule. Elisabeth is not a scientist can be inferred via the biconditional elimination rule.