Sentence examples for this implication holds from inspiring English sources

This implication holds for the following reasons.

It turns out that the converse of this implication holds if and only if the space Y is normal, i.e., the sandwich theorem holds in Y.

Then f ∈ C n. Proof (i) First, we will show that this implication holds for j 0 = 2. Letting F ( z ) = z f ′ ( z ), then f ∈ C n if and only if F ∈ S n ∗.

In order to test whether this implication holds true, we employed a system we previously used to determine the active orientations of the transmembrane and cytosolic domains of the Epo receptor [34].

He thinks that that implication holds only for "real" objects.

Nonetheless, since the implication holds in only one direction, skepticism about moral truth is still distinct from all kinds of epistemological moral skepticism.

and this conclusion is sharp, i.e., in inequality (1.5), μ cannot be replaced by a smaller number such that the implications holds.

The following implication holds: (3.23).

For the following implication holds: (1.6).

(i) For the following implication holds:  .

Thus, we must conclude that the following implication holds (4.7).