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Math Help - Least Upper bound 61.1

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    Least Upper bound 61.1

    Prove that if A has a least upper bound, then it is unique. Thus prove: If b and b' are both least upperbound of A, then b = b'.
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    Quote Originally Posted by tigergirl View Post
    Prove that if A has a least upper bound, then it is unique. Thus prove: If b and b' are both least upperbound of A, then b = b'.
    In general if t=\text{lub}(A) and s<t then this must be true \left( {\exists x \in A} \right)\left[ {s < x \leqslant t} \right]

    If b\ne b' then b<b'\text{ or }b'<b.
    There are contradictions either way.
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