Consider the following premises. For all x_10, if x_10 writes a letter, then x_10 is not making tea. For all x_10, x_10 will make tea. For all x_10, x_10 is a lawyer or x_10 will write a letter. For all x_10, x_10 is not a lawyer or x_10 is happy. Can we infer the following from them? There is at least one x_10 for which neither x_10 is happy nor x_10 is a doctor.
 From the fact that for all x_10, x_10 is a lawyer or x_10 will write a letter, and that for all x_10, x_10 is not a lawyer or x_10 is happy we can infer that for all x_10, x_10 will write a letter or x_10 is happy. From the fact that for all x_10, if x_10 writes a letter, then x_10 is not making tea, and that for all x_10, x_10 will make tea we can infer that for all x_10, x_10 will not write a letter. From the fact that for all x_10, x_10 will write a letter or x_10 is happy, and that for all x_10, x_10 will not write a letter we can infer that for all x_10, x_10 is happy. Finally, from the fact that for all x_10, x_10 is happy we can infer that for all x_10, x_10 is happy or x_10 is a doctor, which contradicts that There is at least one x_10 for which neither x_10 is happy nor x_10 is a doctor. Therefore, the answer is no.