Sentence examples for this case proof from inspiring English sources

"In this case, proof of citizenship is the core theme, so it makes it seem like it's aimed at excluding non-citizens who are trying to vote, which we currently have no evidence that there's a problem of that.

In this case, proof of ownership is by production of the historical Title Deeds.

A more important result, now known as Fermat's lesser theorem, asserts that if p is a prime number and if a is any positive integer, then ap - a is divisible by p. Fermat seldom gave demonstrations of his results, and in this case proofs were provided by Gottfried Leibniz, the 17th-century German mathematician and philosopher, and Leonhard Euler, the 18th-century Swiss mathematician.

In this case, the proof is the analog of the proof of Theorem 2.1.

In this case, the proof is similar to that of the above case, so here we omit the detailed proof.

"This case is proof positive that the U.S. Trustee intends to enforce creditor abuses against consumers in bankruptcy cases, and I welcome that," said O. Max Gardner III, a lawyer in North Carolina who represents troubled borrowers.

In this case, the proof is finished.

In this case, the proof can be treated as case (ii), so we omit it here.

In this case the proof is similar, but rather more complicated.

Also in this case the proof is based on a convexity argument.

In this case, the proof of Theorem 1 is considerably simplified, since the embedding H 0 1 ↪ L α + β is now compact.