Sentence examples for result was proven from inspiring English sources

This result was proven by Jayme and his coauthors in the paper I just mentioned.

The following result was proven by Matsen, Mossel and Steel in [ 26] for the two state random cluster model but, as proved below, it can be easily generalized to any evolutionary model.

In [10] the following result was proved.

This result was proved independently by Nemytskii [10].

The following result was proved by Xu [14].

The next result was proved in [8, Lemma (b)].

The following result was proved in [5] (also see [6]).

In [8, Theorem 1], the following existence result was proved.

The following result was proved by Aoyama et al. [6].

This result was proved by Kusuoka in a different form.

The following result was proved by Aydi et al. in [21].