hol restr binder Sections HOLlib Doc
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Def res_lambda('a;'b;x.P(x);x.f(x)) == x:'a. if P(x) then f(x) else arb('b) fi 

is mentioned by

Def res_abstract == P:'af:'a'b. res_lambda('a;'b;x.P(x);x.f(x))[hres_abstract]

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hol restr binder Sections HOLlib Doc