![](attachments/Pasted%20image%2020221111231621.png)![](attachments/Pasted%20image%2020221106015134.png) ![](attachments/Pasted%20image%2020220124224058.png) ![](attachments/Pasted%20image%2020221106015107.png) ![Statement of Nakayama's lemma](attachments/Pasted%20image%2020220114164559.png) ![Proof](attachments/Pasted%20image%2020220114164618.png) ![](attachments/Pasted%20image%2020220120131628.png)