Sentence examples for both of these assertions from inspiring English sources

Both of these assertions are at odds with Tibet's history.

It should be kept in mind that both of these assertions mirror ones frequently made in "the West," which has—as Edward Said and other critics of "Orientalism" have demonstrated maintained its own identity and sense of superiority in large part by positing an ultimately degrading image of its "Other" as "the East" or "the Orient" (see Said 1978 and 1993).

Both of these assertions deserve nothing but derision.

Both of these assertions fly in the face of the facts available (as the Bloomberg response makes clear).

Both of those assertions are sometimes true and sometimes not.

Neither of these assertions is true.

None of these assertions is refutable.

All of these assertions are demonstrably false.

Neither of these assertions seems to me to be true.

There was no proof for any of these assertions.

We'll be examining the validity of these assertions today.