Sentence examples for proof of remaining from inspiring English sources

The proof of remaining part closely follows the proof of [2, Theorem 3.8], simply replacing with.

The proof of remaining part closely follows the proof of of [2, Theorem 3.8], simply replacing with.

The proof of remained part is omitted because it is similar to the proof of Theorem  3.8 in [13].

The proof of the remaining results is similar.

The proof of the remaining assertions is straightforward.

We sketch the proof of the remaining cases.

Therefore, the proof of the remaining part follows from that of Theorem 3.7.

The proof of the remaining case is similar and will be omitted.

We will only show that,, with the proof of the remaining inequalities being similar.

The proof of the remaining part follows the proof of Theorem 3.2 in [38], therefore we omit it.

The proof of the remaining part is identical to the proof of [25], Lemma 4.8 iii)] upon replacing d with ∥ ⋅ ∥. □.