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Exact(17)
Replacing (F x,y)) by (G x,y)) in Lemma 2.14, we can get the conclusions.
Similar to the proof of Case 2 in (I), we get the conclusions of Theorem 1.4.
As an application of Lemma 2.4, we can get the conclusions (2 -(4).
Similar to the proof of Case 2 in (I), we get the conclusions of Theorem 1.4 easily.
Proof By using the idea of [[22], p.47], we can get the conclusions of Lemma 2.6 easily.
If we want to get the conclusions of Sections 3-5, some new methods and techniques need to be explored.
Similar(43)
So we get the conclusion.
Thus, we get the conclusion.
Therefore we get the conclusion.
Applying [26, Theorem ], we get the conclusion.
Letting (nurightarrow1), we get the conclusion.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com