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

Suggestions(5)

as those in the proof of

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The phrase "as in the proof of" is correct and usable in written English.
It can be used when referring to a specific proof or example that has been previously established or discussed in a mathematical or logical context.
Example: "The theorem holds true, as in the proof of the previous lemma."
Alternatives: "similar to the proof of" or "as demonstrated in the proof of".

Exact(60)

We proceed as in the proof of Corollary 5.1.

Boundary Value Problems

We proceed as in the proof of Theorem 4.1.

Boundary Value Problems

The rest follows as in the proof of Theorem 4.1.

Fixed Point Theory and Applications

Hereafter, we proceed as in the proof of Lemma 2.4.

Advances in Difference Equations

Thus we proceed as in the proof of Lemma 3.3.

Boundary Value Problems

Let,,, and be as in the proof of Theorem 3.3.

Fixed Point Theory and Applications

We proceed as in the proof of Proposition 2.1.

Journal of Inequalities and Applications

We argue similarly as in the proof of Lemma 3.1.

Advances in Difference Equations

It is easy to show that for all and as in the proof of Theorem 2.2.

Journal of Inequalities and Applications

The lower bound follows as in the proof of Theorem 4.1 (ii) by use of Lemma 7.4 (i).

Computers and Mathematics with Applications

as in the proof of.

Journal of Inequalities and Applications

More suggestions(17)

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