Sentence examples for first case of the proof of from inspiring English sources

Obviously, the first case of the proof of Theorem 1 obeys the desired bound.

Proof The proof will be similar to the first case of Theorem 3.9.

The proof of global existence part is similar to the first case of Theorem 1.1.

Here, we report first results showing the proof of principle.

Recall the four cases in the proof of Lemma 2. In the the first three cases we eliminate the delete operation without increasing the number of duplicate operations.

Proof We first provide the proof of (i).

Proof First, we look at the proof of part (i).

Proof First of all, we give the proof of (36).

The rest of the proof is similar to the proof of the first case.

The proof is the same as the proof of the first case.

As in the proof of Case 1 stated first, we conclude similarly the conclusion of Case 1 stated after then.