:: CLASSES1 semantic presentation
:: deftheorem Def1 defines subset-closed CLASSES1:def 1 :
:: deftheorem Def2 defines being_Tarski-Class CLASSES1:def 2 :
:: deftheorem Def3 defines is_Tarski-Class_of CLASSES1:def 3 :
:: deftheorem Def4 defines Tarski-Class CLASSES1:def 4 :
theorem :: CLASSES1:1
canceled;
theorem :: CLASSES1:2
theorem :: CLASSES1:3
canceled;
theorem :: CLASSES1:4
canceled;
theorem Th5: :: CLASSES1:5
theorem Th6: :: CLASSES1:6
theorem Th7: :: CLASSES1:7
theorem Th8: :: CLASSES1:8
theorem :: CLASSES1:9
:: deftheorem Def5 defines Tarski-Class CLASSES1:def 5 :
theorem :: CLASSES1:10
theorem :: CLASSES1:11
theorem Th12: :: CLASSES1:12
theorem Th13: :: CLASSES1:13
theorem :: CLASSES1:14
theorem :: CLASSES1:15
theorem Th16: :: CLASSES1:16
theorem :: CLASSES1:17
theorem Th18: :: CLASSES1:18
theorem Th19: :: CLASSES1:19
theorem Th20: :: CLASSES1:20
theorem Th21: :: CLASSES1:21
theorem Th22: :: CLASSES1:22
theorem :: CLASSES1:23
theorem :: CLASSES1:24
theorem Th25: :: CLASSES1:25
theorem :: CLASSES1:26
theorem Th27: :: CLASSES1:27
theorem Th28: :: CLASSES1:28
theorem Th29: :: CLASSES1:29
theorem Th30: :: CLASSES1:30
theorem Th31: :: CLASSES1:31
theorem :: CLASSES1:32
:: deftheorem Def6 defines Rank CLASSES1:def 6 :
deffunc H1( Ordinal) -> set = Rank $1;
theorem :: CLASSES1:33
theorem :: CLASSES1:34
theorem Th35: :: CLASSES1:35
theorem Th36: :: CLASSES1:36
theorem Th37: :: CLASSES1:37
theorem Th38: :: CLASSES1:38
theorem :: CLASSES1:39
theorem Th40: :: CLASSES1:40
theorem :: CLASSES1:41
theorem Th42: :: CLASSES1:42
theorem Th43: :: CLASSES1:43
theorem Th44: :: CLASSES1:44
theorem :: CLASSES1:45
theorem :: CLASSES1:46
theorem Th47: :: CLASSES1:47
theorem Th48: :: CLASSES1:48
theorem Th49: :: CLASSES1:49
theorem Th50: :: CLASSES1:50
theorem :: CLASSES1:51
theorem Th52: :: CLASSES1:52
theorem Th53: :: CLASSES1:53
theorem Th54: :: CLASSES1:54
theorem Th55: :: CLASSES1:55
theorem :: CLASSES1:56
deffunc H2( set , set ) -> set = union $2;
:: deftheorem Def7 defines the_transitive-closure_of CLASSES1:def 7 :
theorem :: CLASSES1:57
canceled;
theorem Th58: :: CLASSES1:58
theorem Th59: :: CLASSES1:59
theorem Th60: :: CLASSES1:60
theorem Th61: :: CLASSES1:61
theorem Th62: :: CLASSES1:62
theorem :: CLASSES1:63
theorem :: CLASSES1:64
theorem Th65: :: CLASSES1:65
theorem :: CLASSES1:66
theorem :: CLASSES1:67
theorem :: CLASSES1:68
theorem Th69: :: CLASSES1:69
:: deftheorem Def8 defines the_rank_of CLASSES1:def 8 :
theorem :: CLASSES1:70
canceled;
theorem Th71: :: CLASSES1:71
theorem :: CLASSES1:72
theorem Th73: :: CLASSES1:73
theorem Th74: :: CLASSES1:74
theorem :: CLASSES1:75
theorem Th76: :: CLASSES1:76
theorem Th77: :: CLASSES1:77
theorem Th78: :: CLASSES1:78
theorem :: CLASSES1:79
theorem Th80: :: CLASSES1:80
theorem :: CLASSES1:81
theorem :: CLASSES1:82