Sentence examples for same proofs from inspiring English sources

The same proofs serve to show that the same result holds for pure predicate logic.

In fact, the same proofs, based on Lemma 9, can be followed through point by point.

However, as pointed out in [4], we need only assume the weaker inequality L φ ≥ w i i - C 0, (3.2)for some constant C 0 to carry out the same proofs.

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.

He said that to approve an herbal product as a drug, the federal agency insisted that its manufacturer provide the same proof of safety and efficacy as other new drugs.

As far as the examination of the instrument goes, there is precisely the same proof that the eye was made for vision, as there is that the telescope was made for assisting it.

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.