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Math Help - Did I do this proof correct?

  1. #1
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    Did I do this proof correct?

    Prove or Disprove

    Given: For every nonempty set A, there exists a set B such that l A-B l = l B-A l.

    Proof: Statement is true. Let A not equal an empty set. Then let B=A. Then A-B=B-A=empty set. So l A-B l = l B-A l = 0.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Possible actuary View Post
    Prove or Disprove

    Given: For every nonempty set A, there exists a set B such that l A-B l = l B-A l.

    Proof: Statement is true. Let A not equal an empty set. Then let B=A. Then A-B=B-A=empty set. So l A-B l = l B-A l = 0.
    Seems ok to me
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