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: Robert is not sleeping. Mary is an electrician if and only if James is climbing a mountain. Robert is sleeping if and only if Mary is an electrician. Mary is a server if and only if James is climbing a mountain.
If Mary were an electrician, then James is climbing a mountain can be inferred via the biconditional elimination rule. If Robert sleeps, then Mary is an electrician can be inferred via the biconditional elimination rule. If Mary were a server, then James is climbing a mountain can be inferred via the biconditional elimination rule. If James climbs a mountain, then Mary is an electrician can be inferred via the biconditional elimination rule. If Mary were an electrician, then Robert is sleeping can be inferred via the biconditional elimination rule. If James climbs a mountain, then Mary is a server can be inferred via the biconditional elimination rule. Mary is not an electrician can be inferred via the biconditional elimination rule.