Sentence examples for obtained the proof from inspiring English sources

In [49], Deng obtained the proof of the improved inequality as an application of suitable algebraic inequalities.

Furthermore, the existence of problem (1.1) is obtained, the proof has many analogies with the case (0

According to Lemma 3 and the definition of the Riemann integral, we obtained the proof of Theorem 2.

Based on these theories, we obtained Theorem 1 and Lemmas 4-7, accordingding to Theorem 1 and Lemmas 4-7, we obtained the proof of Theorem 3.

The police and health agencies have dramatically improved the way victims of sexual violence are treated; but it is still increasingly difficult to obtain the proof necessary to bring charges – let alone secure a conviction.

Proof We shall obtain the proof by contradiction.

Similarly, we can obtain the proof of (ii).

Then we obtain the proof of Proposition 3.2.

Applying Theorem 3.4, we obtain the proof of this Theorem.

By Lemma 1.1(i) we obtain the proof.

Then we easily obtain the proof of Corollary 3.2.