Sentence examples for proof of the result from inspiring English sources

The proof of the result is completed.

This is a proof of the result.

This completes the proof of the result (2).

The proof of the result is provided next.

Later, Kalamajska [6] gave a shorter proof of the result in [5].

The proof of the result (ii) of Theorem 1.2 is completed.

The proof of the results in the Euclidean case was given in [6].

In [5], Sun and Zhu gave a simple proof of the results.

The proof of the results equivalent to the part (b) of the Theorem is considered in [5, 7].

end{aligned} The proof of the results in [8] involves the definition of a Lyapunov-Krasovskii type functional.

For the complete proofs of the result, we refer the reader to [24].