Fixed-point lemma for normal functions: Difference between revisions

Content deleted Content added
cat
m +cat
Line 18:
It is easily checked that the function ''f'' : Ord &rarr; Ord, ''f''(&alpha;) = &#1488;<sub>&alpha;</sub> is normal (see [[aleph number]]); thus, there exists an ordinal &Theta; such that &Theta; = &#1488;<sub>&Theta;</sub>. In fact, the above lemma shows that there are infinitely many such &Theta;.
 
[[Category:Set theory]]
[[Category:LemmasFixed points]]
[[Category:Lemmas]]