Sentence examples for shall only prove from inspiring English sources

We shall only prove the equivalence at (0,0).

Without loss of generality, we shall only prove u 1 0,0)≤u 2 0,0).

"⇒": We shall only prove the result for the first statement of the theorem.

We shall only prove for the first and fourth vectors, the other two cases being similar.

We shall only prove the case of (i) since the proofs of the cases for (ii), (iii), and (iv) are completely analogous.

We shall only prove the result for ((x t))) since the result for ((y(t))) can be done in the same way.

So in the present paper, by the Riesz-Thorin theorem, we shall only need to prove the case where (p=1).

We shall prove only the third equivalence.

Proof We shall prove only (c) in Theorem 2 and other identities are proved similarly.

We shall prove only (3.10) because the proof of (3.9) is similar.

We shall prove only Theorems 1(1), 1(3), 2(1), and 2(4), and other identities are proved similarly and omitted.