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: Joseph is an electrician if and only if it is cloudy. It is not cloudy. For all x_12, x_12 will make tea if and only if x_12 is an electrician.
If Joseph were an electrician, then it is cloudy can be inferred via the biconditional elimination rule. If it is cloudy, then Joseph is an electrician can be inferred via the biconditional elimination rule. Joseph is not an electrician can be inferred via the biconditional elimination rule. For all x_12, if x_12 makes tea, then x_12 is an electrician can be inferred via the universal biconditional elimination rule. For all x_12, if x_12 were an electrician, then x_12 is making tea can be inferred via the universal biconditional elimination rule.