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