Sentence examples for proof is standard from inspiring English sources

The proof is standard.

(i) The proof is standard.

The proof is standard and omitted.

The proof is standard, see [18, 25] for example.

The proof is standard, and so it is omitted here.

The proof is standard, so we omit it.

The proofs are standard and will be omitted.

The following two lemmas are well known and their proofs are standard.

Having obtained (3.54), the proof of (2.19) is standard, we thus omit the details for brevity.

Since the proof of (i) is standard, we only need to prove (ii).

The proof of this is standard by making minor modifications with Theorems 3 and 4 on p.967 in [3], and we will outline its proof in the Appendix for completeness.