Synonyms for Assumed (same or very similar meaning)
WordNet sense 1 (taken as your right without justification):
arrogated
WordNet sense 2 (having possession gained especially by force or effort):
taken
WordNet sense 3 (adopted in order to deceive):
fictitious, fictive, sham, false, pretended, put on
WordNet sense 4 (not genuine; imitating something superior):
counterfeit, imitative
WordNet sense 5 (accepted as real or true without proof):
assumptive
WordNet sense 6 (recognized or made known or admitted):
acknowledged
From the ODE community, based on WordNet
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