Sentence examples for proving in the same from inspiring English sources

By proving in the same manner, we can conclude that and for all.

Moreover, by proving in the same manner as in Theorem  3.2 of [25], we can show that (4.24).

Any public key-based security system must be provided by an efficient way of making the public key of a node available to another and proving in the same time the authenticity of this key.

"He thought big in the same way Obama did, he had something to prove in the same way Obama did," said Mr. Maraniss.

The following was proved in the same.

The lower bound is proved in the same way.

The following statement is proved in the same way.

Other cases can be proved in the same way.

The second part is proved in the same way as the first one.

Since (ii) can be proved in the same way, we just prove (i).

The remainder can be proved in the same way as in Theorem 3.1.