Definition of rightfully adverb from the Oxford Advanced Learner's Dictionary

 

rightfully

 adverb
adverb
BrE BrE//ˈraɪtfəli//
 
; NAmE NAmE//ˈraɪtfəli//
 
(formal)
 
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according to the law or to what is right or correct She was only claiming what was rightfully hers. The property rightfully belonged to his brother, not to him.