Sentence examples for 1 proposition from inspiring English sources

See Appendix 7.1 Proof of Lemma 1, Proposition 1. □.

37. Book 1, Proposition 4, Corollary 7, which was added in the second edition.

It is quite straightforward to prove the following Corollary 1, Proposition 1, and Proposition 2.

Consequently, a more relaxed matching like that of (CC_{rg}(C,D_i)) will always be 1 (Proposition 0.3).

Theorem 1, Proposition 1, and Theorem 4 play a fundamental role in our specification of the robust fundamental value.

(1) Proposition 2.1 ii) and (iii) guarantee that (T^{(i)}) defined by (1) satisfies the firm nonexpansivity condition.

Lemma 3.1 (see [1, Proposition ]).

Meanwhile, (A1) implies that [1, proposition 4.1].

Lemma 2.2 ({Kamimura and Takahashi [4], [1, Proposition 2.1]}).

By a proof in a standard way ([1], Proposition 3.11), we can get the next lemma.

Proposition 7.1 (See also [[1], Proposition 9.1] for the bounded case).