Sentence examples for auxiliary statement from inspiring English sources

In the sequel, we will need the following auxiliary statement.

Let us cite the following auxiliary statement from [3].

Here these results are formulated into an auxiliary statement in the form of Lemma 1, and they will be further used to solve the problem (1), (2).

Before continuing, we give some auxiliary statements.

Moreover, in this section we give some auxiliary statements.

In Section 2 some auxiliary statements and in Section 3 main statements are given.

In Section 5.1 we present several auxiliary statements about the limits of the martingales.

In this section, auxiliary statements necessary for the subsequent analysis are formulated.

Here we give the following auxiliary statements which are introduced in [27].

To prove this result we need to prove some auxiliary statements.

The paper is organized as follows: In order not to disturb our discussions later on some auxiliary statements are given in Section 2.