hol restr binder Sections HOLlib Doc
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Def res_select == P:'aQ:'a. res_choose('a;x.(P(x));x.(Q(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_select(P,B)
Thm* (P:'a  hbool. (B:'a  hbool. ,select(x:'a. and(P(x),B(x))))))
[hres_select_wd]

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hol restr binder Sections HOLlib Doc