Sentence examples for the same proof from inspiring English sources

The imaginary machine had found a proof, and it wasn't even the same proof that is given in Euclid.

Both gatherings were shown the same "proof of life" video, provided by the Taliban to show the 28-year-old soldier was alive.

Follows the same proof of Theorem 1.2.

The same proof as for leads to (3.14).

It is the same proof as in [9], Lemma 3.1.

The same proof as for Theorem 8 holds.

How different can distinct presentations be and yet be presentations of the same proof?

By Lemma 3.1 and the same proof in Lemma 3.2, we have the following lemma.

By using the same proof, we obtain that and are nonexpansive.

The same proof yields an analogous result for even values of n.

Proof The same proof as of Theorem 2.5 of Hansen [3] works.