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Exercise 8

[1ZR]Prove 1 that in a group:

  1. If \(x + y= x + z\) then \(y= z\).

  2. If \(x + y= x\) then \(y=0\).

  3. If \(x + y=0\) then \(y= -x\).

  4. \(-(-x) = x\).

  1. [ 16 ] Prop. 1.14
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Authors: "Mennucci , Andrea C. G." .
Bibliography
  • [26] Walter Rudin. Principles of Mathematical Analysis. McGraw–Hill, New York, 3rd edition, 1964.

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