Sentence examples for proofs themselves from inspiring English sources

However, some of the proofs themselves are complicated, and we thus refer to the reader to the original literature.

Having clarified what Anselm takes himself to be doing in his theistic proofs, we can now examine the proofs themselves.

Mizar's goal is to assist the practitioner in the formalization of proofs and to help check their correctness; other systems aim at finding the proofs themselves.

For if the opinion of the P. not the facts & proofs themselves are to sway the judgment of Congress, in declaring war, and if the President in the recess of Congrs.

It is therefore evident that another requirement - for the successful use of proof techniques in the development of systems from formal descriptions - is the availability of software tools which support the manipu­ lation of large bodies of formulae and help the user in the design of the proofs themselves.

Can his proofs themselves be proven, or do they already assume what he's trying to prove?

How can pharma businesses future-proof themselves?

The companies that prioritised short-term profits rather than future-proofing themselves ultimately paid the price.

Their long-term planning has given them the flexibility to future proof themselves against the decline in newsprint.

And anyone about to buy a video camera should future-proof themselves by opting for a high-definition version, even though they currently cost more.

But he also says that the businesses that have made their way into the area were proof themselves of a new momentum.