Sentence examples for completed the proof from inspiring English sources

"For me, the big moment was when I completed the proof," Dr. Hales said.

So this completed the proof — and (as I'd hoped) with no need for linear programming.

Now a famous mathematician named Björn Lindquist has "taken the risk Nachman cautiously declined: making a bid for greatness," and has completed the proof.

We have completed the proof.

(4.24) We completed the proof.

We have thus completed the proof.

Massachusetts-based Trenergi Corporation has successfully completed the proof-of-concept development phase of its Trion™ residential micro CHP product.

This completes the proof of the theorem.

contradicting (4.2), and completing the proof.

We completes the proof.

The completes the proof.