Sentence examples for the proof of facts from inspiring English sources

Commonly, if one knows that the qualitative behaviour of a system does not depend on the specific values of data inputs, the proof of facts about its behaviour can be simplified.

It then said that the trial court "was clearly right in instructing the jury that the testimony given on the former trial was proved to be material," since "it merely decided a question of law, arising upon the proof of facts as to which there was no dispute or contrariety of testimony," id., at 456.

The proof of this fact is one of the main results of this paper.

The proof of this fact, given in 1914 by the German mathematician Felix Hausdorff, can be generalized to demonstrate that every metric space has such a completion.

"This is the proof of the fact that the Mafia is dynamic and able to interpret the new needs of our society," said Francesco Forgione, President of the parliamentary Anti-Mafia Commission in the previous government and author of the book "Mafia Exports".

The proof of this fact is accomplished in several steps.

Hence (5.66) holds, completing the proof of the fact that ({overline{T}}_pm =S_{max,pm }).

Claim 2: The proof of this fact is made as in the proof of Claim 1.

For the sake of completeness, we give the proof of this fact.

The proof of this fact is analog to Lemma 4.2 and Corollary 4.3 in [18].

The proof of this fact is very easy, therefore we omit it.