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Def P & Q == PQ

is mentioned by

Thm* P & False  False[and_false]
Thm* False & P  False[false_and]
Thm* P & True  P[and_true]
Thm* True & P  P[true_and]
Thm* 'a,'b:S, P:('b), rep:('a'b), abs:('b'a).
Thm* iso_pair('a;'b;P;rep;abs)
Thm* 
Thm* (a:'aabs(rep(a)) = a) & (r:'bP(r) = ((rep(abs(r))) = r))
[iso_pair_char]
Thm* p,q:(p  q p & q[not_or]
Thm* p,q:(p & q p  q[not_and]
Thm* A = B  A  B & B  A[ext_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]
Def type_definition('a;'b;P;rep)
Def == (x',x'':'brep(x') = rep(x'' 'a  x' = x'')
Def == & (x:'a(P(x))  (x':'bx = rep(x')))
[type_definition]

In prior sections: core int 1 bool 1 fun 1

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hol Sections HOLlib Doc