Sentence examples for auxiliary results from inspiring English sources

We need the following auxiliary results.

Auxiliary results are gathered in Appendices.

First, we establish some auxiliary results.

We first establish some auxiliary results.

We have the following two auxiliary results.

We first present some auxiliary results.

Section 2 gives some auxiliary results.

To prove Theorem 2.8, we need the following auxiliary results.

For this reason, we need the following auxiliary results.

In Section 3, we give some auxiliary results.

In Section 2, some auxiliary results are introduced.