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§580-21 Grounds for annulment. The family court, by a decree of nullity, may declare void the marriage contract for any of the following causes, existing at the time of the marriage:
(1) That the parties stood in relation to each other of ancestor and descendant of any degree whatsoever, brother and sister of the half as well as the whole blood, uncle and niece, aunt and nephew, whether the relationship is the result of the issue of parents married or not married to each other;
(2) That the parties, or either of them, had not attained the legal age of marriage;
(3) That the husband had an undivorced wife living, or the wife had an undivorced husband living;
(4) That one of the parties lacked the mental capacity to consent to the marriage;
(5) That consent to the marriage of the party applying for annulment was obtained by force, duress, or fraud, and there has been no subsequent cohabitation; and
(6) That one of the parties was a sufferer of or afflicted with any loathsome disease and the fact was concealed from, and unknown to, the party applying for annulment. [CC 1859, §1313; am imp L 1866, p 3; rep L 1870, c 10; ree L 1876, c 48; am imp L 1870, c 24, §1; rep L 1872, c 23, §2; am imp L 1872, c 23, §1; am L 1903, c 22, §1; RL 1925, §2955; RL 1935, §4450; am L 1935, c 184, §1; RL 1945, §12201; am L 1949, c 53, §29; RL 1955, §324-1; am L 1957, c 72, §1; am imp L 1965, c 232, §1; HRS §580-21; am L 1980, c 43, §1; am L 1984, c 119, §2; am L 1997, c 52, §8]
Attorney General Opinions
Uncle and niece by adoption not disqualified to intermarry. Att. Gen. Op. 62-49.
Now,
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§580-23 Former husband or wife living. A marriage may be declared null on the ground that one of the parties has an undivorced husband or wife living, on the application of either of the parties during the lifetime of the other, or on the application of the former husband or wife. [CC 1859, §1315; RL 1925, §2957; RL 1935, §4452; RL 1945, §12203; RL 1955, §324-3; HRS §580-23]
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§580-29 No annulment solely on confessions. No sentence of nullity of marriage shall be pronounced solely on the declarations or confessions of the parties. The court shall, in all cases, require other satisfactory evidence of the facts on which the allegation of nullity is founded. [CC 1859, §1322; am L 1903, c 22, §2; RL 1925, §2964; RL 1935, §4459; RL 1945, §12209; RL 1955, §324-9; HRS §580-29; am L 1973, c 211, §5(n)]
Since there are a stream of citations to statutes dating back to the time before statehood for this proposition, it's possible that the RL 1955 Sections 324-9 had the same kind of requirements which later, after statehood, became a part of the Hawaii Revised Statutes (HRS) and then had some further amendments in 1973 (later-in-time, whatever they were, than the relevant birth of '61 and divorce of '64). But, if only "other evidence" was going to be enough, and not just admissions from the parties themselves, how do you go about getting that since proof of non-existence, as you noted, consists of a vacuum of information and not something tangible?