Sentence examples for which completes proof from inspiring English sources

Employing arguments which are similar to those used in the proof of Theorem 3.3, we obtain that the whole sequence ((x^{k},y^{k})) weakly converges to a solution of SEP (1), which completes proof.

Employing arguments which are similar to those used in the proof of Theorem 3.1, we obtain that the whole sequence ((z^{k})) weakly converges to a solution of SEP (1), which completes proof.

which completes the proof.

Consequently, which completes this proof.

Consequently,, which completes the proof.

which completes the proof of Theorem 1.6.

Consequently, as, which completes the proof.

which completes the proof of Lemma 3.2.

Therefore, (u=v), which completes the proof.

Therefore, ({D}_{0}=emptyset), which completes the proof.

So (5) holds, which completes the proof.