Sentence examples for moreover in the proof of from inspiring English sources

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Moreover, in the proof of Theorem 3.6 of [2], Xu showed the following lemma.

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Moreover, as in the proof of Theorem 1 in [30], one can show that S is compact.

Moreover, as in the proof of Proposition 4.3 we use again Remark 4.4 to shorten the presentation.

Moreover, as in the proof of Theorem 1, we can easily show that conditions (a -(c) hold.

Moreover, as in the proof of Theorem 1, we can prove that the series ∑ n = 1 ∞ B n z n converges in a neighborhood of the origin.

Moreover, as in the proof of Theorem 1.2, it can be verified that g ( t ) is a super-solution of (1.1).

Moreover, as in the proof of Lemma 4.2, under an adequate subsequence, ({w_{n}}) converges to w in (C^{1} overline{Omega})), which is a nonzero solution of the eigenvalue problem left { textstylebegin{array}{l} -Delta w=hat{lambda}frac{1}{a_{0}}w, quad xinOmega, w = 0 quad mbox{on }partialOmega, end{array}displaystyle right.

Moreover, working as in the proof of Theorem 3.1, it follows that (delta<+infty), and also (Lambda'subset 0,frac {1}{delta})).

Moreover, as shown in the proof of Lemma 2.3, the inverse function (H^{-1}_{2}(s)) is equivalent near infinity to e^{s^{frac{1}{delta}} ( loglog s )^{-frac{beta }{2delta}}}.

Moreover, from the proof of Theorem 4.1 in [19], we deduce that the characteristic function corresponding to the characteristic value (frac{lambda_{1}}{f_{0}}) satisfies (mu_{1} eleqpsileqmu_{2} e), where (mu_{1}>0) and (mu_{2}>0).

Moreover, from the proof of Theorem 10 in [36], for all i it holds that Z γ τ, i ⊆ Z α − β τ, i implies X γ, τ i ̂ ⊆ X α i.

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