The term 'assert to be the case' can be broken down into three words: AVER, AVOW, and ALLEGE. AVER is a verb meaning to state or declare positively, often as a matter of fact or belief. AVOW is also a verb, meaning to declare openly and boldly, often in a proud or defiant manner. ALLEGE is a verb meaning to assert without proof, or to state something as a fact without providing evidence. All three words are related to the idea of making a statement or declaration, but they differ in terms of the strength of the assertion and the level of confidence with which it is made.