Consider the following premises. There is at least one x_7 for which if x_7 writes a letter, then x_7 is a carpenter. For all x_7, if x_7 makes tea, then x_7 is not a carpenter. For all x_7, if x_7 drinks water, then x_7 is a carpenter. For all x_7, x_7 will write a letter or x_7 will drink water. Can we infer the following from them? If we can, name the inference rule being used: For all x_7, x_7 will make tea.
 From the fact that there is at least one x_7 for which if x_7 writes a letter, then x_7 is a carpenter, that for all x_7, if x_7 drinks water, then x_7 is a carpenter, and that for all x_7, x_7 will write a letter or x_7 will drink water we can infer that there is at least one x_7 for which x_7 is a carpenter via existential disjunction elimination. Finally, from the fact that for all x_7, if x_7 makes tea, then x_7 is not a carpenter, and that there is at least one x_7 for which x_7 is a carpenter we can infer that there is at least one x_7 for which x_7 will not make tea via existential modus tollens, which contradicts that For all x_7, x_7 will make tea. Therefore, the answer is no.