Consider the following premises. If Susan were a cashier, then John is a soldier. For all x_20, if x_20 were a soldier, then x_20 is an electrician. Richard is a politician if and only if Michael is drinking water. If Richard were a politician, then Susan is a cashier. Can we infer the following from them? If Richard were a politician, then Susan is a cashier.
That is one of the premises. Therefore, the answer is yes.