What is the first line of the proof? If a divides b, then a divides b – c.

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What is the first line of the proof? If a divides b, then a divides b – c.

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What is the first line of the proof? If a divides b, then a divides b – c.

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- What is the first line of the proof?
- If a divides b, then a divides b – c.
- If a divides b, then a divides c.
- Assume a divides b – c.
- Assume a divides b and a divides c.
- Assume a does not divide b and a does not divide c.

- What is the next line of the proof?
- Then a must divide b – c.
- Then a does not divide b – c.
- Then b = ka and c = ka for some integer k.
- Then b = ka and c = ja for some integers j and k.
- Then a = kb and a = kc for some integer k.
- Then a = kb and a = jc for some integers j and k.

- What is the next line of the proof?
- Then b – c = ka.
- Then division is distributive so a divides b – c.
- Then a divides b – c.
- Then k – j = …
- Then b – c = …
- Then a = …

- What is the first line of the proof?
- Assume a divides c.
- Assume c divides a.
- Assume a divides b and b divides c.
- Assume b divides a and c divides b.
- Assume a does not divide b and b does not divide c.
- Assume a does not divide b or b does not divide c.

- What is the next line of the proof?
- Assume xy is odd.
- Assume xy is even.
- Assume x and y are both odd.
- Assume x and y are both even.
- Assume x or y is odd.
- Assume x or y is even.

- What is the next line of the proof?
- Assume xy is odd.
- Assume xy is even.
- Assume x and y are both odd.
- Assume x and y are both even.
- Assume x or y is odd.
- Assume x or y is even.

- What is the next line of the proof?
- Then x = 2m and y = 2m for some integer m.
- Then x = 2m and y = 2n for some integers m and n.
- Then xy is even.
- Case 1.