Sentence examples for proofing using from inspiring English sources

With visual proofing using GEvo, we confirmed that there is a syntenic sequence match in barley, whereas there are no matching sequences in rice and sorghum as indicated by SynFind (fig. 4 B).

Proof Using mathematical induction.

Proof Using L'Hospital's rule gives (2.5).

Proof Using Hölder's inequality, we get.

The proof using (2.2) is similar.

We complete the proof using Lemma 1.

But Rabin's proof, using automata, was notoriously difficult to follow.

There is another proof using the elementary amalgamation theorem and the elementary chain theorem.

Proof Using (3) in (8), (9) is obtained.

For a classical proof using different arguments, see, e.g., [3].

Proof Using Theorem 2.4, we have { F = a.