Say, say (5)
(Other definitions for claim that I've seen before include "Right; demand this" , "Assert one's right to" , "Put in for" , "State to be the case" , "Assertion of right" .)
(Other definitions for aver that I've seen before include "Formally state" , "Assert, state as true" , "Maintain - state" , "Maintain - assert - allege" , "To declare or affirm solemnly as true" .)