Sentence examples for proved in next from inspiring English sources

Then the key theorem, i.e. the following Theorem 3.1 will be proved in next subsection.

We will use the following, which will be proved in the next section: ((VC1′) is a variant of (VC1) which we prove explicitly in the next section).

An existence result for problem (2.1 - 2.3) will be proved in the next sections under the basic assumption (2.4) and the following additional assumptions imposed on f, ℓ, and γ.

This will be proved in the next section.

Theorem 1.1 will be proved in the next section.

The above conclusion will be proved in the next section.

As it is proved in the next proposition for this map.

Our main result is stated and proved in the next theorem.

Another a priori estimate will be proved in the next theorem.

Let us assume that (3.2). holds (this will be proved in the next section).

The summability of u depends on the summability of f, which is proved in the next lemma.