Consider the following premises. For all x_6, x_6 will read a book or x_6 will not make tea. For all x_6, if x_6 were an astronaut, then x_6 is making tea. For all x_6, if x_6 reads a book, then x_6 is an astronaut. Can we infer the following from them? For all x_6, x_6 is an astronaut if and only if x_6 will make tea.
 From the fact that for all x_6, x_6 will read a book or x_6 will not make tea we can infer that for all x_6, if x_6 makes tea, then x_6 is reading a book. From the fact that for all x_6, if x_6 makes tea, then x_6 is reading a book, and that for all x_6, if x_6 reads a book, then x_6 is an astronaut we can infer that for all x_6, if x_6 makes tea, then x_6 is an astronaut. Finally, from the fact that for all x_6, if x_6 were an astronaut, then x_6 is making tea, and that for all x_6, if x_6 makes tea, then x_6 is an astronaut we can infer that for all x_6, x_6 is an astronaut if and only if x_6 will make tea. Therefore, the answer is yes.