Sentence examples for the proofs are given from inspiring English sources

The proofs are given in [3].

Our main results are stated in Section 2 and the proofs are given in Section 3.

The proofs are given in the Appendix: Proof of the new results in Section 6.

The results are shown in Section 2 and the proofs are given in Section 3.

Not all the details of the proofs are given, but we have tried to explain the main ideas and the novel techniques.

Elements of the proof are given in the appendix, and we simply note here that a small "representation "error e r should be considered for both Eqs.

The proof is given below.

Proof: The proof is given in[14].

The proof is given in the Appendix.

The proof is given in Appendix B. □.

The proof is given in Appendix C. □.