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We will need the following elementary result, which is given here without a proof.
The following elementary result on real sequences is quite well known.
We will use the following elementary result for a semimodular, which is Corollary 2.1.15 in [6].
By using the technique of [20], we can readily obtain the following elementary result.
Finally, we state the following elementary result on convergence of real sequences.
An important elementary result is that an equation holds in all BAs if and only if it holds in the two-element BA.
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When he was 15 years old, he obtained a copy of George Shoobridge Carr's Synopsis of Elementary Results in Pure and Applied Mathematics, 2 vol. (1880 86).
Firstly, the following elementary results are presented.
In this section, we recall some elementary results.
Therefore, it can be applied to some elementary results in [4, 7, 15, 23 26].
For the sake of completeness, we recollect some basic definitions and elementary results.
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