hol bool Sections HOLlib Doc
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Def exists_unique == p:'a. b_exists_unique('a;x.p(x))

is mentioned by

Thm* 'a:S. 
Thm* equal
Thm* (exists_unique
Thm* ,P:'a  hbool. and
Thm* ,P:'a  hbool. (exists(P)
Thm* ,P:'a  hbool. ,all
Thm* ,P:'a  hbool. ,(x:'a. all(y:'a. implies(and(P(x),P(y)),equal(x,y))))))
[hexists_unique_def]

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hol bool Sections HOLlib Doc