Let a∈R . Assume a<ε for all ε>0.
if a>0, take eps = a/2
eps>0 but it is not true that a<eps
which is a contradiction
a can not be larger than zero
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Let a∈R . Assume a<ε for all ε>0.
if a>0, take eps = a/2
eps>0 but it is not true that a<eps
which is a contradiction
a can not be larger than zero