let an be sequence of real numbers define a set s


Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai < aj }. Assume that S is infinite with elements i1 < i2 < i3..... Prove that {Ain} is a strictly increasing sequence of of {An}

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Mathematics: let an be sequence of real numbers define a set s
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