:: BOOLEALG semantic presentation
:: deftheorem Def1 defines \ BOOLEALG:def 1 :
:: deftheorem Def2 defines \+\ BOOLEALG:def 2 :
:: deftheorem Def3 defines = BOOLEALG:def 3 :
:: deftheorem Def4 defines meets BOOLEALG:def 4 :
Lemma11:
for L being Lattice
for X, Z, Y being Element of L st X [= Z & Y [= Z holds
X "\/" Y [= Z
theorem Th1: :: BOOLEALG:1
canceled;
theorem Th2: :: BOOLEALG:2
canceled;
theorem Th3: :: BOOLEALG:3
theorem Th4: :: BOOLEALG:4
theorem Th5: :: BOOLEALG:5
canceled;
theorem Th6: :: BOOLEALG:6
theorem Th7: :: BOOLEALG:7
theorem Th8: :: BOOLEALG:8
theorem Th9: :: BOOLEALG:9
theorem Th10: :: BOOLEALG:10
theorem Th11: :: BOOLEALG:11
theorem Th12: :: BOOLEALG:12
theorem Th13: :: BOOLEALG:13
canceled;
theorem Th14: :: BOOLEALG:14
theorem Th15: :: BOOLEALG:15
canceled;
Lemma16:
for L being Lattice
for X, Y being Element of L st X meets Y holds
Y meets X
theorem Th16: :: BOOLEALG:16
Lemma17:
for L being Lattice
for X, Y being Element of L st X misses Y holds
Y misses X
theorem Th17: :: BOOLEALG:17
canceled;
theorem Th18: :: BOOLEALG:18
canceled;
theorem Th19: :: BOOLEALG:19
canceled;
theorem Th20: :: BOOLEALG:20
canceled;
theorem Th21: :: BOOLEALG:21
canceled;
theorem Th22: :: BOOLEALG:22
theorem Th23: :: BOOLEALG:23
canceled;
theorem Th24: :: BOOLEALG:24
theorem Th25: :: BOOLEALG:25
theorem Th26: :: BOOLEALG:26
theorem Th27: :: BOOLEALG:27
theorem Th28: :: BOOLEALG:28
theorem Th29: :: BOOLEALG:29
theorem Th30: :: BOOLEALG:30
theorem Th31: :: BOOLEALG:31
theorem Th32: :: BOOLEALG:32
theorem Th33: :: BOOLEALG:33
theorem Th34: :: BOOLEALG:34
theorem Th35: :: BOOLEALG:35
theorem Th36: :: BOOLEALG:36
theorem Th37: :: BOOLEALG:37
theorem Th38: :: BOOLEALG:38
theorem Th39: :: BOOLEALG:39
theorem Th40: :: BOOLEALG:40
theorem Th41: :: BOOLEALG:41
theorem Th42: :: BOOLEALG:42
theorem Th43: :: BOOLEALG:43
theorem Th44: :: BOOLEALG:44
theorem Th45: :: BOOLEALG:45
theorem Th46: :: BOOLEALG:46
theorem Th47: :: BOOLEALG:47
theorem Th48: :: BOOLEALG:48
theorem Th49: :: BOOLEALG:49
theorem Th50: :: BOOLEALG:50
theorem Th51: :: BOOLEALG:51
theorem Th52: :: BOOLEALG:52
theorem Th53: :: BOOLEALG:53
theorem Th54: :: BOOLEALG:54
theorem Th55: :: BOOLEALG:55
theorem Th56: :: BOOLEALG:56
theorem Th57: :: BOOLEALG:57
theorem Th58: :: BOOLEALG:58
theorem Th59: :: BOOLEALG:59
theorem Th60: :: BOOLEALG:60
theorem Th61: :: BOOLEALG:61
theorem Th62: :: BOOLEALG:62
theorem Th63: :: BOOLEALG:63
theorem Th64: :: BOOLEALG:64
canceled;
theorem Th65: :: BOOLEALG:65
canceled;
theorem Th66: :: BOOLEALG:66
theorem Th67: :: BOOLEALG:67
theorem Th68: :: BOOLEALG:68
theorem Th69: :: BOOLEALG:69
theorem Th70: :: BOOLEALG:70
theorem Th71: :: BOOLEALG:71
theorem Th72: :: BOOLEALG:72
theorem Th73: :: BOOLEALG:73
theorem Th74: :: BOOLEALG:74
theorem Th75: :: BOOLEALG:75
theorem Th76: :: BOOLEALG:76
theorem Th77: :: BOOLEALG:77
theorem Th78: :: BOOLEALG:78
theorem Th79: :: BOOLEALG:79
theorem Th80: :: BOOLEALG:80
theorem Th81: :: BOOLEALG:81
Lemma42:
for L being B_Lattice
for X, Y being Element of L holds (X "\/" Y) \ (X \+\ Y) = X "/\" Y
theorem Th82: :: BOOLEALG:82
theorem Th83: :: BOOLEALG:83
theorem Th84: :: BOOLEALG:84
theorem Th85: :: BOOLEALG:85
theorem Th86: :: BOOLEALG:86
theorem Th87: :: BOOLEALG:87
theorem Th88: :: BOOLEALG:88