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Discover LudwigSuggestions(5)
"conclude the proof" is correct and usable in written English.
You can use it to indicate that the reader should finish the proof or argument they have started. EXAMPLE: After introducing the theorem and showing its premises, we can now conclude the proof.
Exact(60)
As we explained at the beginning of this post this will conclude the proof of the regret bound.
Finally, defining, we conclude the proof.
Now we can conclude the proof.
According to [17], we conclude the proof.
Applying Corollary 5, we conclude the proof.
We now easily conclude the proof of Theorem 1.1.
Thus, (10) is valid, and we can conclude the proof.
To conclude the proof, one should use the formula (3.8).□.□
To conclude the proof, we must verify that.
Therefore, we conclude the proof of Theorem 1.4.
This will conclude the proof of Theorem 3.2.
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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