Sentence examples for concludes the proof from inspiring English sources

which concludes the proof.

This contradiction concludes the proof.

This fact concludes the proof.

The contradiction concludes the proof.

end{aligned} (43) This concludes the proof.

This last step concludes the proof.

which concludes the proof of Theorem 1.

This concludes the proof of Part (i).

This concludes the proof of the lemma.

This concludes the proof of Proposition 3.4.

This concludes the proof of the theorem.