The phrase "assert their superiority" is correct and usable in written English.
It can be used in contexts where someone is claiming or demonstrating that they are better than others in some way.
Example: "In the debate, he tried to assert their superiority by highlighting his extensive experience in the field."
Alternatives: "claim their dominance" or "proclaim their superiority."
Gatland will come armed with a plan, but one area Wales will need to assert their superiority is the scrum, which has had a major influence on the outcome of the past three meetings between the sides.
Tiger Woods was lost, Phil Mickelson injured and the massed ranks of the PGA Tour content with well-remunerated mediocrity, giving the Europeans a gilt-edged chance to assert their superiority.
Brighton midfielder Liam Bridcutt says his side have the quality to make the Championship play-offs but admits they must assert their superiority in games.
And a mistake by visiting keeper Joslain Mayebi handed Brighton an early opportunity to assert their superiority - but LuaLua could only direct his shot across the face of goal.
While the concept of gladiators is in line with the "man over nature" paradigm equally pronounced in other blood sports such as bullfighting and hunting, wherein men assert their superiority over animals by killing them, gladiators were historically an oppressed group.
The Yankees asserted their superiority in the first two games, outscoring the Red Sox, 24-6.
They marched into the home ballparks of their main competition in the division — the entire league, perhaps — and asserted their superiority.
As if this ritual humiliation wasn't enough, Germany were also the last team to beat England at the old Wembley, and the first to beat them at the new version, asserting their superiority at just about every turn.
I refer of course to the steps being taken by state legislatures around the country to give religious cover to those who continue to find satisfaction in asserting their superiority to others by invoking whatever God they happen to be worshipping.
In turn, dentists were also aware of a 'divide' between themselves and their medical colleagues, and perceived the negativity that they detected as doctors asserting their superiority (box 3(4)).
Baldwin attributes the Continental conception of copyright as a moral right to the desire of countries like France and Germany to assert their cultural superiority.
