Sentence examples for both these assertions are from inspiring English sources

Both these assertions are wrong.

Yet both these assertions are totally false.

There are important pedagogical ramifications if both these assertions are true.

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

These assertions are both dangerous and false, yet they're gaining currency.

Both these assertions were made from a bed in a military hospital, where, he reported, "the heavy footsteps of anti-Semitism are always thumping behind my back".

All of these assertions are demonstrably false.

These assertions are not new.

These assertions are basically true.

These assertions are difficult to refute.

"None of these assertions are valid".