Sentence examples for four key lemmas from inspiring English sources

First, we given the following four key lemmas.

To prove our theorems, we prepare another two key lemmas.

In this section, we first prove two key lemmas and then present the main result of the paper.

One of the two key lemmas asserts that if S is complete under compositions of multiplication then every element of the ideal generated by S is a linear combination of normal S -terms.

The method is based upon three fundamental lemmas: A compactness result (Lemma 3), a regularity result (Lemma 7), and an integration by parts (Lemma 2).

I see four key elements.

Four Key Model Assumptions.

There are four key ways.

To proceed, we define three functions and establish a key lemma.

which proves the key lemma.

The following lemma is the key lemma of this section.