:: Completeness of the Lattices of Domains of a Topological Space
:: by Zbigniew Karno and Toshihiko Watanabe
::
:: Received July 16, 1992
:: Copyright (c) 1992 Association of Mizar Users
theorem Th1: :: TDLAT_2:1
theorem Th2: :: TDLAT_2:2
theorem :: TDLAT_2:3
theorem Th4: :: TDLAT_2:4
theorem Th5: :: TDLAT_2:5
theorem Th6: :: TDLAT_2:6
theorem Th7: :: TDLAT_2:7
theorem :: TDLAT_2:8
theorem Th9: :: TDLAT_2:9
theorem :: TDLAT_2:10
theorem :: TDLAT_2:11
theorem :: TDLAT_2:12
theorem Th13: :: TDLAT_2:13
theorem Th14: :: TDLAT_2:14
theorem Th15: :: TDLAT_2:15
:: deftheorem Def1 defines Int TDLAT_2:def 1 :
theorem Th16: :: TDLAT_2:16
theorem :: TDLAT_2:17
theorem Th18: :: TDLAT_2:18
theorem Th19: :: TDLAT_2:19
theorem Th20: :: TDLAT_2:20
theorem :: TDLAT_2:21
theorem Th22: :: TDLAT_2:22
theorem :: TDLAT_2:23
theorem :: TDLAT_2:24
theorem :: TDLAT_2:25
theorem Th26: :: TDLAT_2:26
theorem :: TDLAT_2:27
theorem Th28: :: TDLAT_2:28
theorem Th29: :: TDLAT_2:29
theorem :: TDLAT_2:30
theorem Th31: :: TDLAT_2:31
theorem Th32: :: TDLAT_2:32
theorem Th33: :: TDLAT_2:33
theorem Th34: :: TDLAT_2:34
theorem :: TDLAT_2:35
theorem :: TDLAT_2:36
theorem :: TDLAT_2:37
theorem :: TDLAT_2:38
theorem :: TDLAT_2:39
theorem :: TDLAT_2:40
theorem :: TDLAT_2:41
theorem :: TDLAT_2:42
theorem :: TDLAT_2:43
theorem :: TDLAT_2:44
theorem :: TDLAT_2:45
theorem :: TDLAT_2:46
theorem :: TDLAT_2:47
theorem :: TDLAT_2:48
theorem Th49: :: TDLAT_2:49
theorem Th50: :: TDLAT_2:50
theorem Th51: :: TDLAT_2:51
theorem Th52: :: TDLAT_2:52
theorem :: TDLAT_2:53
theorem :: TDLAT_2:54
theorem :: TDLAT_2:55
theorem :: TDLAT_2:56
theorem Th57: :: TDLAT_2:57
theorem Th58: :: TDLAT_2:58
theorem Th59: :: TDLAT_2:59
theorem :: TDLAT_2:60
theorem :: TDLAT_2:61
theorem :: TDLAT_2:62
theorem :: TDLAT_2:63
theorem Th64: :: TDLAT_2:64
:: deftheorem Def2 defines domains-family TDLAT_2:def 2 :
theorem Th65: :: TDLAT_2:65
theorem Th66: :: TDLAT_2:66
theorem Th67: :: TDLAT_2:67
theorem Th68: :: TDLAT_2:68
theorem Th69: :: TDLAT_2:69
theorem Th70: :: TDLAT_2:70
theorem Th71: :: TDLAT_2:71
:: deftheorem Def3 defines closed-domains-family TDLAT_2:def 3 :
theorem Th72: :: TDLAT_2:72
theorem Th73: :: TDLAT_2:73
theorem Th74: :: TDLAT_2:74
theorem :: TDLAT_2:75
theorem Th76: :: TDLAT_2:76
theorem Th77: :: TDLAT_2:77
theorem Th78: :: TDLAT_2:78
:: deftheorem Def4 defines open-domains-family TDLAT_2:def 4 :
theorem Th79: :: TDLAT_2:79
theorem Th80: :: TDLAT_2:80
theorem Th81: :: TDLAT_2:81
theorem :: TDLAT_2:82
theorem Th83: :: TDLAT_2:83
theorem Th84: :: TDLAT_2:84
theorem Th85: :: TDLAT_2:85
theorem Th86: :: TDLAT_2:86
theorem Th87: :: TDLAT_2:87
theorem :: TDLAT_2:88
theorem Th89: :: TDLAT_2:89
theorem Th90: :: TDLAT_2:90
theorem Th91: :: TDLAT_2:91
theorem Th92: :: TDLAT_2:92
theorem Th93: :: TDLAT_2:93
theorem Th94: :: TDLAT_2:94
theorem Th95: :: TDLAT_2:95
theorem :: TDLAT_2:96
theorem Th97: :: TDLAT_2:97
theorem Th98: :: TDLAT_2:98
theorem Th99: :: TDLAT_2:99
theorem :: TDLAT_2:100
theorem :: TDLAT_2:101
theorem :: TDLAT_2:102
theorem Th103: :: TDLAT_2:103
theorem Th104: :: TDLAT_2:104
theorem :: TDLAT_2:105
theorem Th106: :: TDLAT_2:106
theorem Th107: :: TDLAT_2:107
theorem Th108: :: TDLAT_2:108
theorem :: TDLAT_2:109
theorem :: TDLAT_2:110
theorem :: TDLAT_2:111