Sentence examples for proposition proved from inspiring English sources

"Lemma," the dictionary says, is "a proposition proved, or sometimes assumed, to be true".

It still met with opposition; but, with some mutilations in the preamble, it was finally past; and a singular proposition proved that it's protection of opinion was meant to be universal.

The following proposition proved by Allali and Amahroq [1] plays an important role in the sequel in a finite-dimensional setting.

The following proposition, proved in [49, Proposition 2.1], shows that the data reduction and construction of M Z quadrature formulas c an be done in a consistent manner.

The limit in probability is unique in M̃. xn → x in probability ⇔∃en∈ProjM en→1 strongly and ∥(xn − x) en∥ → 0. The following proposition proves to be important in the investigation of M̃.

The following proposition proves that the number of infected nodes for class m, (I^m(t)) is strictly positive for every (t in [0,T]).

Although it can be less than 1, the following proposition proves that it is natural that this number takes the value 1.

In any case, this willfully naïve proposition proves a key step in Rothstein's emerging argument.

This proposition proves the arguably intuitive idea that having a change-point between t1 and t2 is never beneficial in terms of cost.

By using [9, Proposition  2.5], the following proposition is proved.

In the end, though, Omidyar's hundred-million-dollar proposition had proved irresistible.