Sentence examples for proof items from inspiring English sources

Proof Items (1) and (2) follow by Theorem 2 in [23].

Not only that: people believe they are entitled to expect that, as Walser writes to Otto Pick, "every year they will bring to the light of day some new one hundred percent proof item".

A point ( x, y ) ∈ X 2 is a coupled coincidence point of F and G if and only if it is a coincidence point of T F and T G. Proof Item (1) follows from Lemma 2.1 and items (2), (3), (5), (6) and (9) are obvious.

On a flame-proof item (such as a ceramic plate), hold a match to the strands.

He said the group has never received concrete proof that items sold by its members were manufactured in sweatshops.

(45) By using inequalities (42), (44) and (45), we can get the desired result similarly to the proof of items II and III of Theorem 3.2 in [9].

Summing the above inequality from k=1 to +∞ and using item (i) we get the proof of item (iii).

Sotheby's has argued that Cambodia never declared ownership of the statue before the auction house sought to sell it for as much as $3 million on behalf of its Belgian owner and that no one has provided proof the item was stolen.

The proof of item (a) of Theorem 4 is based on the following lemmas.

The proof of item (iv) is an immediate consequence of Lemma 2.3(i).

Another common criterion reported by informants was a good command of English, but it seemed that no proof of item-writers' language ability was required.