Sentence examples for this proposition holds from inspiring English sources

Then, this proposition holds.

Thus, this proposition holds only partly.

Thus we have H α ⪯ G α so that the first inequality of this proposition holds thanks to Theorem 2.2.

Framed another way, one might say globalization and democracy go hand in hand, and, with empirical tests based on plausible instruments, this proposition holds up reasonably well (López-Córdova and Meissner 2008).

This proposition holds even in the year of Trump.

A corollary to this proposition held that Mr. Bloomberg was overcompensating for underperforming in last December's blizzard, a lasting stain on his third term.

So, the proposition holds.

then, by (2.2), the proposition holds.

Hence, the proposition holds for m=T.

As a result, the proposition holds through the transitivity.

Now suppose the proposition holds for games having at most m = r potential moves.