laying claim vs assumption

laying claim and assumption both are nouns.

Word	Noun	Adjective	Verb	Adverb
laying claim	Yes	No	No	No
assumption	Yes	No	No	No

As nouns, laying claim and assumption are synonyms defined as:

laying claim and assumption: the act of taking possession of or power over something

laying claim (noun)	assumption (noun)
the act of taking possession of or power over something	the act of taking possession of or power over something
	the act of assuming or taking for granted
	audacious (even arrogant) behavior that you have no right to
	a hypothesis that is taken for granted
	a statement that is assumed to be true and from which a conclusion can be drawn