Sentence examples for a proper generalization of from inspiring English sources

An example in [3] shows that condition (3) is a proper generalization of (1) and (2).

So, our theorem is a proper generalization of the mentioned theorem from [13].

The following examples show that Theorem 2.1 is a proper generalization of Corollary 2.2.

It should be noted, however, that there is a sense in which it is a proper generalization of Dirac's framework.

The following example shows that Theorem 9 is a proper generalization of the fixed point results in [7 10].

The next example shows that Theorem 2.3 is a proper generalization of the main result from [11].

The following example reveals that Theorem 3.1 is a proper generalization Theorem 1.2.

Al-Thagafi and Shahzad [5] gave a definition which is proper generalization of nontrivial weakly compatible maps which have coincidence points.

With the proper generalization of the group axioms this gives rise to an n-ary group.

The proper generalization of directed paths to hypergraphs is that of hyperpaths.

We give several examples to show that our results are proper generalization of the existing one.