Sentence examples for proof can be obtained from inspiring English sources
Proof The proof can be obtained immediately from Theorem 10.
The proof can be obtained by a straightforward calculation.
By using Lemma 3.2, the proof can be obtained immediately.
The second part of the proof can be obtained similarly.
Use Lemma 2.2, the proof can be obtained by the similar way to [[7], Lemma 2.3].
The proof can be obtained as follows: Step 1: determine the multiple integral area.
The proofs can be obtained by recalling Remark 3.6 and by using suitable characterizations of convexity.
The proofs are abbreviated here for the reasons that the similar proofs can be obtained from Appendix B and Appendix A in [22] for the conditions of bound-optimization method and the convergence, respectively.
Proof It can be obtained by similar arguments as Theorem 1.
The following comparison lemma plays a crucial role in our proof which can be obtained by similar arguments as in [24, 38 40].
Then, for any n ≥ 1, λ > 0, sup a P ( a ≤ S n n ≤ a + λ ) ≤ A λ. with some absolute constant A, provided λ n ≥ L. Proof It can be obtained from Berkes et al. [3].
