Sentence examples for concluding the proof from inspiring English sources

This is exactly what Conway did, while concluding the proof.

so that, concluding the proof.

showing that and concluding the proof.

This contradiction proves the Claim, thus concluding the proof of the quantitative inequality.

Consequently one has (d_epsilon (i_j)=d k)>1) and (x_k=u_j ), concluding the proof.

from the given conditions on and and thus concluding the proof.

which concludes the proof.

The contradiction concludes the proof.

This contradiction concludes the proof.

This fact concludes the proof.

This concludes the proof of the theorem.