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Def @x:TP(x) == InjCase(lem({x:TP(x) }); xx, arb(T))

is mentioned by

Thm* 'a:S, P,Q:('aProp).
Thm* (x:'aQ(x P(x))  (x:'aQ(x))  P(@x:'aQ(x))
[choose_elim_pos]
Thm* 'a:S, P,Q:('aProp).
Thm* (x:'aQ(x P(x))
Thm* 
Thm* ((x:'aQ(x))  (x:'aP(x)))  P(@x:'aQ(x))
[choose_elim_neg]
Thm* P:('aProp), x:'aP(x P(@x:'aP(x))[choose_true]
Thm* P:('aType), x:'aP(x (y:'aP(y x = y (@y:'aP(y)) = x[choose_unique]
Thm* T:S, P,Q:(TType). (x:TP(x Q(x))  (@x:TP(x)) = (@x:TQ(x))[choose_functionality_axiom]
Def iso_pair('a;'b;P;rep;abs)
Def == (r:'babs(r) = (@a:'a. (r = rep(a)))) & type_definition('b;'a;P;rep)
[iso_pair]

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hol Sections HOLlib Doc