Sentence examples for some proofs from inspiring English sources

Can you correct some proofs for him?

25 years ago, Alfred Pach delivered some proofs to John D. Rockefeller at Pocantico.

But as mathematicians spun out ever more intuitive arguments, some "proofs" turned out to be false, leading them to shore up the foundations of their earlier work.

In some proofs, however, universal instantiations are required in such large numbers as the proof proceeds that even the most powerful computers cannot produce them fast enough.

In addition they allowed a record of whatever changes were made: instead of worrying whether a possible adjustment might ruin an image, an artist could simply stop work, make some proofs of the current image, or even a formal edition, and resume work.

Some proofs are provided in the appendices.

But I needed some proof.

"There is some proof.

I want some proof.

Here is some proof.

So here's finally some proof".