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(H4 There exists such that ; (H5)There exists such that.
If there exists such that, then there exists such that.
From, there exists such that.
Clearly, there exists, such that.
From Lemma 2.4, there exists such that.
So there exists such that ext .
Let with, then there exists such that.
Because, there exists such that if.
If, according to, there exists such that.
By Theorem 2.7, there exists such that.
Since, for any, there exists, such that.
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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