Sentence examples for brief proof is given from inspiring English sources

In Appendix 1, a brief proof is given.

A similar proof is given for S4.

A rigorous mathematical stability proof is given.

Proof: The proof is given in[14].

The proof is given below.

A convergence proof is given for the random waveform case.

The proof is given in [ 79].

The proof is given in Appendix  1.

The proof is given in [Additional file 2].

The proof is given in the Mathematical Appendix.

The proof is given in the Supplementary Material.