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Let in Lemma 2.1.
Let and in Lemma 2.2.
In Lemma 2.4, we take.
Let and be given in Lemma 2.8.
This will be done in Lemma 2.1.
where is given in Lemma 3.1.
Let, where is given in Lemma 2.1.
where is as in Lemma 2.4.
where is the constant in Lemma 2.5.
end{aligned} defined in Lemma 2.1.
Hence assumption (ii) in Lemma 2.8 holds.
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