Sentence examples for converse assertion from inspiring English sources

property but the converse assertion is not necessarily true.

Clearly, R-subweakly commuting maps are compatible but the converse assertion is not necessarily true (see [31], Example 15).

On account of Theorem 3.1 again, the converse assertion follows directly by taking, and the proof is complete.

A set M is called starshaped if it is q-starshaped with respect to any q ∈ M. Clearly, each convex set M is starshaped but the converse assertion is not true.

The converse assertions of (iii) and (iv) do not hold.

The converse assertions of (d) and (e) do not hold as the following easy example shows.

The following example shows that the converse assertions do not hold.

The following example shows that the converse assertions of (a) and (b) do not hold.  .

The converse assertions of (c) and (d) do not hold as the following easy example shows.

Hence, it is obvious that every -function is a -function and every -function is a -function, but the converse assertions do not hold.

It is obvious that every 0-Cauchy sequence is a Cauchy sequence in the quasi-b-metric-like space ( X, b ), and every complete quasi-b-metric-like space is a 0-complete quasi-b-metric-like space, but the converse assertions of these facts may not be true.