Question: Help soving ONLY part (1).... Using theorem 1.5.5 and 1.5.6 prove (1) Exercise 1.5.3. [Used in Theorem 1.5.5 and Theorem 15.6.] Letre Z and y
Help soving ONLY part (1).... Using theorem 1.5.5 and 1.5.6 prove (1)

![Exercise 1.5.3. [Used in Theorem 1.5.5 and Theorem 15.6.] Letre Z and](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/10/6714c7152aed2_9336714c71505908.jpg)
![y e Z". (1) Prove that (x, y)] = 0 if and](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/10/6714c71574674_9336714c71565aa3.jpg)
Exercise 1.5.3. [Used in Theorem 1.5.5 and Theorem 15.6.] Letre Z and y e Z". (1) Prove that (x, y)] = 0 if and only if r= 0. (2) Prove that (x, y)] = 1 if and only ifx = y. (3) Prove that 0 sholds (Trichotomy Law). II. Ifr 0, then ri
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