WordNet records no synonym and no antonym for affidavit. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
written declaration made under oath; a written statement sworn to be true before someone legally authorized to administer an oath
Synonyms, antonyms and the broader and narrower relations for affidavit come from Princeton University’s WordNet. Full sources and licences.