Sentence examples for identical proof from inspiring English sources

We include the identical proof for completeness.

The algorithm for has an essentially identical proof.

This case is symmetric to the previous case and has an almost identical proof.

We will prove Lemma 1 for ({varepsilon }_{infty downarrow }^{text {in}} = V_{{b}}(s_{i})), but the case ({varepsilon }_{infty downarrow }^{text {out}} = V_{{b}}^{not parallel }(s_{i})) has an essentially identical proof.

Each applicant must submit two identical tapes, proof of age, two recommendations from established teachers or conservatories and an entry fee of $150.

The rest is identical to the proof of Theorem 2.5.

The proofs of the three results below are identical to the proofs of [9, Theorems 7.3-7.5] and they are therefore omitted.

An indistinguishable placebo was manufactured and packaged in identical plastic light-proof bottles.

The two rows of radishes came up identical, and this was proof for me that no God existed.

The proof is identical to the proof of Theorem 4.1 with replaced by.

Now the remainder of the proof is identical to the proof of Theorem 1.2.