Sentence examples for proof is ended from inspiring English sources
By Theorem 2.13, the proof is ended.
If n 3 ≤ k, the proof is ended.
end{aligned} We may suppose that L has no fixed points on (partial Omega_{R}) (otherwise, the proof is ended).
end{aligned} (5.8) This together with the closeness of W and the fact that begin{aligned} tilde{y}_{n}bigl(t^{u_{n}}bigr)in W end{aligned} (5.9) yields begin{aligned} y^(t_{0} in W. end{aligned} (5.10) The proof is ended.
The proof of Lemma 1 is ended.
(4.11) Therefore, the proof of Lemma 4.6 is ended.
"The most basic reading of the amendment makes it clear that proof is required that 'life' has been ended and in each instance cited there is no proof that life ever began whether that is viewed as fertilisation or implantation".
The proof is given at the end of the subsection after some preparatory lemmata.
The proof is given towards the end of Sect. 3. It is known for the Umegaki relative entropy [21], but the proof uses only the properties (1), (2) and (3).
