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Exact(3)
We omit its proof to the reader.
We state our main result here and leave its proof to the next section.
Therefore, we will restrict its proof to the main points only.
Similar(57)
I bring my proof to the people".
This is proof to the world".
For any given philosopher, the Green-Tao theorem and its proof are to be assessed by the standards of the first column.
We omit the proof of the previous result since its proof is similar to the main theorem in [17] and it can be concluded by following, point by point, all of its arguments.
Its proof is analogous to the proof of Theorem 2.4 and it is left to the reader.
Indeed the next theorem is animprovement of Theorem 3.2 in [6] without using the lower semi-continuity of the mapping K : Λ 1 → 2 E ; its proof is similar to the proof presented for thesecond part of Theorem 2.4 and so we omit the proof.
The following result is based on Lemma 2.12 and its proof is similar to the proof of Theorem 3.2 above.
Its proof is similar to the proof of Theorem 7.11, therefore it is omitted.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com