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: Sarah is climbing a mountain if and only if Linda is curious. Sarah is not a janitor. For all x, x is a janitor if and only if x will climb a mountain.
If Sarah climbs a mountain, then Linda is curious can be inferred via the biconditional elimination rule. If Linda were curious, then Sarah is climbing a mountain can be inferred via the biconditional elimination rule. For all x, if x were a janitor, then x is climbing a mountain can be inferred via the universal biconditional elimination rule. For all x, if x climbs a mountain, then x is a janitor can be inferred via the universal biconditional elimination rule.