Sentence examples for proof statements from inspiring English sources

Proof Statements 1-4 can be proved by taking F = H in Theorem 2.1 and 5 obtained from Remark 2.2.

Proof Statements (i) and (ii) follow by [[1], Theorems 3.2-3.3] 3.2-3.3] froms thet D k and C k coincide respectively with the Weyl disk and Weyl circle in (4.13).

They offered as proof statements by coalition forces and Afghan intelligence officials, according to court records.

The playing field is flattened as websites, blogs, tweets, white papers from small firms to large ones become the digital footprint and online "proof statements" to the next gen consumers.

Proof Statement (a) follows immediately from Theorem 2.1 if we only show that the operator C satisfies the condition ( S + ) D ( C ) with D ( C ) = X.

The EC50 values of the second experiment proof the statements of the first experiments.

Proof Both statements of the theorem follow by using Lemmas 3.2, 4.10, 2.3 and 2.1.

The EC50 values of the second experiment are presented in Table 1 and proof the statements of the first experiments.

Judges should (and often will) be scrupulous - they should look at the proof, the statements, the factors solely concerning the defendant before him when imposing a sentence.

Proof The statements (i)–(vii) are straightforward verifications invoking Lemma 5.1.

First we have proofs of statements of the form t : A. These statements are called judgements, their proofs are called demonstrations.