Consider the following premises. For all x, if x were a politician, then x is making tea. For all x, x is not a server. For all x, x is a politician if and only if x will make tea. For all x, x is a politician if and only if x is a server. Can we infer the following from them? For all x, x is a politician if and only if x will make tea.
That is one of the premises. Therefore, the answer is yes.