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Def exists == p:'ax:'a. (p(x))

is mentioned by

Thm* 'a:S. 
Thm* all
Thm* (P:'a  hbool. all
Thm* (P:'a  hbool. (B:'a  hbool. equal
Thm* (P:'a  hbool. (B:'a  hbool. (res_exists(P,B)
Thm* (P:'a  hbool. (B:'a  hbool. ,exists(x:'a. and(P(x),B(x))))))
[hres_exists_wd]

In prior sections: hol bool

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hol restr binder Sections HOLlib Doc