To cross your mind is for a thought to pass through briefly. It never crossed your mind.
It is used most in the negative, as a denial that something was even considered. A thought that does cross your mind arrives and leaves without any commitment behind it.
1phrasecross your mindFor a thought to pass through briefly.
“It did cross your mind that the door had been left open.”
cross your mind is a phrase.
Practised in Thinking & Memory