Sentence examples for proof of statements from inspiring English sources

In a corrective 1977 Village Voice interview, Solanas said the book would not be autobiographical other than a small portion and that it would be about many things, include proof of statements in the manifesto, and "deal very intensively with the subject of bullshit", but she said nothing about parody.

This completes the proof of statement (i).

The proof of statement (b) is similar.

We now turn to the proof of Statement (v).

We turn to the proof of statement (3) of the lemma.

The proof of statement (c) is similar and we will skip it.

(i) If (3.36) holds then from (3.10), (3.41), (3.42), and statement (i) of Proposition B, we get that (3.43) This completes the proof of statement (i).

Summarizing, we get {lim}_{nrightarrowinfty}Dleft(s_{n},xright)=Dleft s,xright) and the proof of statement (2) of the lemma finished.

Since W s ( E 1 ) ∪ C 1 + is the boundary of B ( 0, ∞ ) similar as in the proof of statement (d) of Claim 1, we have that T ( W s ( E 1 ) ∪ C 1 + ) ⊆ W s ( E 1 ) ∪ C 1 +.

By using the blow-up rate estimate in Lemma 2.2 instead of the estimate in Lemma 2.1, Theorem 1.3 can be proved by the same steps as in the proof of statement (i) in Theorem 1.1.

By substituting this into equation (13), we obtain x 2 2 ( y 1 2 − y 2 2 ) ( a 2 − A 1 c 2 ) A 1 + y 2 2 = 0, from which it follows that y 1 = y 2 since a 2 ≠ A 1 c 2. From (14) we have x 1 = x 2, which completes the proof of statement (a).