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 x_10, x_10 is a mechanic if and only if x_10 will drink water. For all x_10, x_10 will work. For all x_10, x_10 is a cashier or x_10 is a mechanic. For all x_10, x_10 will not drink water. For all x_10, x_10 is not a cashier or x_10 will climb a mountain.
For all x_10, x_10 is a mechanic or x_10 will climb a mountain can be inferred via the universal resolution rule. For all x_10, if x_10 were a mechanic, then x_10 is drinking water can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 drinks water, then x_10 is a mechanic can be inferred via the universal biconditional elimination rule. For all x_10, x_10 is not a mechanic can be inferred via the universal biconditional elimination rule.