allege · verb T /əˈledʒ/
allege
C2 to say that something is true or state something as a fact without giving proof
Dictionary examples:
The teacher is alleged to have hit a student.
He alleges that Bates attacked him.
Learner example:
Advocates of perpetual economic growth allege that the world in which we live is a better place compared to what it was a long time ago. (Certificate of Proficiency in English; C2; Greek)
