Sentence examples for we give a proof from inspiring English sources

We give a proof by contradiction.

For completeness, we give a proof.

Here we give a proof for it.

In this section, we give a proof of Theorem 1.1.

Here we give a proof by the Bony paraproduct technique.

Now, we give a proof of Lemma 2.1.

We gave a proof of concept and showed the feasibility of a future optimization by applying our model chain to an industrial set-up.

Proof Although there is a proof in [54], we give a different proof for completeness.

For completeness, here we give a different proof by following the proof.

For result (ii), we will give a proof by contradiction.

Now we will give a proof of our main result.