begin
:: deftheorem Def1 defines is_unbounded_in CARD_LAR:def 1 :
:: deftheorem Def2 defines is_closed_in CARD_LAR:def 2 :
:: deftheorem Def3 defines is_club_in CARD_LAR:def 3 :
:: deftheorem Def4 defines unbounded CARD_LAR:def 4 :
:: deftheorem Def5 defines closed CARD_LAR:def 5 :
theorem
canceled;
theorem Th2:
theorem Th3:
theorem Th4:
theorem Th5:
theorem Th6:
theorem Th7:
theorem Th8:
theorem Th9:
:: deftheorem Def6 defines LBound CARD_LAR:def 6 :
theorem Th10:
theorem Th11:
theorem Th12:
theorem Th13:
:: deftheorem Def7 defines stationary CARD_LAR:def 7 :
theorem Th14:
:: deftheorem Def8 defines is_stationary_in CARD_LAR:def 8 :
theorem
theorem
:: deftheorem defines limpoints CARD_LAR:def 9 :
theorem Th17:
theorem
theorem Th19:
theorem Th20:
theorem Th21:
theorem Th22:
theorem Th23:
theorem
theorem Th25:
theorem
:: deftheorem Def10 defines Mahlo CARD_LAR:def 10 :
:: deftheorem Def11 defines strongly_Mahlo CARD_LAR:def 11 :
theorem Th27:
theorem Th28:
theorem Th29:
theorem
theorem Th31:
theorem
begin
theorem Th33:
theorem Th34:
deffunc H1( Ordinal) -> set = Rank $1;
theorem Th35:
theorem Th36:
theorem Th37:
theorem Th38:
theorem Th39:
theorem