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By A.S. Troelstra, D.van Dalen

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Extra info for The L.E.J. Brouwer centenary symposium: Proceedings Noordwijkerhout, 1981

Example text

Dom h. iclc(B is By ). Then regular, F(i)c_X there there +I. It is follows s a set an ordinal Dc [B]

F not ] sequences a limit then there exists a set let us B ~B[3 Dc [B]

Will play an ~. a matching a marriage in F for 50 Lemma 4 . 5 . The empty m a t c h i n g Proof. is Let Mo-positive, positive. g~f F If set, Proof. IDl-positive It is so I I F D I I- -< I D I < N the subfamily Since 2" FD i s F DI- by Case 1. 6 for the special case two c a s e s . f. h be a m a r r i a g e of F rng f \ f. By a s s u m p t i o n , i c dom h. Put f u{(i,h(i))}. Claim. F ~ \ g has a m a r r i a g e , Let assume us that marriage. Since marriage. By (F~\f) there f is F rng f \ f. 11, f Therefore hiLl Case B.

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