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If it can be shown that 
 is true, then 
 is
called either a `fixed point' or a `fixpoint' of 
. 
According to H. Curry, there exists a function, that
generates  such a fixed point of 
. This function is
the so-called Y-combinator introduced above. 
According to the above definition a fixpoint of a function can be 
seen as a lambda expression that, if passed as argument to this
function is returned by the function.
Georg Loczewski
2003-08-07