hol bool Sections HOLlib Doc
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Def select == p:'a. @x:'a. (p(x))

is mentioned by

Thm* 'a:S. all(P:'a  hbool. all(x:'a. implies(P(x),P(select(P)))))[hselect_ax]
Thm* 'a:S. 
Thm* equal
Thm* (cond
Thm* ,t:hbool. t1:'at2:'a. select
Thm* ,t:hbool. t1:'at2:'a(x:'a. and
Thm* ,t:hbool. t1:'at2:'a. (x:'a(implies(equal(t,t),equal(x,t1))
Thm* ,t:hbool. t1:'at2:'a. (x:'a,implies(equal(t,f),equal(x,t2)))))
[hcond_def]
Thm* 'a:S. equal(exists,P:'a  hbool. P(select(P)))[hexists_def]

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hol bool Sections HOLlib Doc