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Math Help - Least Upper Bound proof

  1. #1
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    Least Upper Bound proof

    Any help with this proof would be appreciated:

    If x1 and x2 are least upper bounds for A, then x1 = x2

    least upper bound of A is denoted by sup(A)

    Thanks!
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  2. #2
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    The least upper bound means "less than or equal to any upper bound." Thus, x1 <= x2 and x2 <= x1. Also, <= is antisymmetric.
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