:: Robbins Algebras vs. Boolean Algebras
:: by Adam Grabowski
::
:: Received June 12, 2001
:: Copyright (c) 2001 Association of Mizar Users
:: deftheorem defines TrivComplLat ROBBINS1:def 1 :
:: deftheorem defines TrivOrtLat ROBBINS1:def 2 :
:: deftheorem defines ` ROBBINS1:def 3 :
:: deftheorem defines *' ROBBINS1:def 4 :
:: deftheorem Def5 defines Robbins ROBBINS1:def 5 :
:: deftheorem Def6 defines Huntington ROBBINS1:def 6 :
:: deftheorem Def7 defines join-idempotent ROBBINS1:def 7 :
theorem Th1: :: ROBBINS1:1
theorem Th2: :: ROBBINS1:2
theorem Th3: :: ROBBINS1:3
theorem Th4: :: ROBBINS1:4
theorem Th5: :: ROBBINS1:5
theorem Th6: :: ROBBINS1:6
:: deftheorem Def8 defines Top ROBBINS1:def 8 :
theorem Th7: :: ROBBINS1:7
theorem Th8: :: ROBBINS1:8
:: deftheorem Def9 defines Bot ROBBINS1:def 9 :
theorem Th9: :: ROBBINS1:9
theorem Th10: :: ROBBINS1:10
theorem Th11: :: ROBBINS1:11
theorem Th12: :: ROBBINS1:12
theorem Th13: :: ROBBINS1:13
theorem Th14: :: ROBBINS1:14
theorem :: ROBBINS1:15
theorem Th16: :: ROBBINS1:16
theorem Th17: :: ROBBINS1:17
theorem Th18: :: ROBBINS1:18
theorem :: ROBBINS1:19
theorem :: ROBBINS1:20
theorem Th21: :: ROBBINS1:21
theorem Th22: :: ROBBINS1:22
theorem Th23: :: ROBBINS1:23
theorem Th24: :: ROBBINS1:24
theorem Th25: :: ROBBINS1:25
theorem Th26: :: ROBBINS1:26
theorem Th27: :: ROBBINS1:27
theorem Th28: :: ROBBINS1:28
theorem Th29: :: ROBBINS1:29
theorem Th30: :: ROBBINS1:30
theorem Th31: :: ROBBINS1:31
theorem :: ROBBINS1:32
:: deftheorem Def10 defines well-complemented ROBBINS1:def 10 :
theorem Th33: :: ROBBINS1:33
theorem Th34: :: ROBBINS1:34
:: deftheorem Def11 defines CLatt ROBBINS1:def 11 :
theorem :: ROBBINS1:35
theorem Th36: :: ROBBINS1:36
:: deftheorem Def12 defines Huntington ROBBINS1:def 12 :
:: deftheorem Def13 defines with_idempotent_element ROBBINS1:def 13 :
:: deftheorem defines \delta ROBBINS1:def 14 :
:: deftheorem defines Expand ROBBINS1:def 15 :
:: deftheorem defines _0 ROBBINS1:def 16 :
:: deftheorem defines Double ROBBINS1:def 17 :
:: deftheorem defines _1 ROBBINS1:def 18 :
:: deftheorem defines _2 ROBBINS1:def 19 :
:: deftheorem defines _3 ROBBINS1:def 20 :
:: deftheorem defines _4 ROBBINS1:def 21 :
theorem Th37: :: ROBBINS1:37
theorem :: ROBBINS1:38
theorem :: ROBBINS1:39
theorem :: ROBBINS1:40
theorem Th41: :: ROBBINS1:41
theorem Th42: :: ROBBINS1:42
theorem :: ROBBINS1:43
canceled;
theorem Th44: :: ROBBINS1:44
theorem Th45: :: ROBBINS1:45
theorem Th46: :: ROBBINS1:46
theorem Th47: :: ROBBINS1:47
theorem :: ROBBINS1:48
theorem Th49: :: ROBBINS1:49
theorem Th50: :: ROBBINS1:50
theorem Th51: :: ROBBINS1:51
theorem Th52: :: ROBBINS1:52
theorem Th53: :: ROBBINS1:53
:: deftheorem defines \beta ROBBINS1:def 22 :
theorem Th54: :: ROBBINS1:54
theorem Th55: :: ROBBINS1:55
theorem :: ROBBINS1:56
theorem :: ROBBINS1:57
theorem Th58: :: ROBBINS1:58
theorem Th59: :: ROBBINS1:59
theorem Th60: :: ROBBINS1:60
:: deftheorem Def23 defines de_Morgan ROBBINS1:def 23 :
theorem Th61: :: ROBBINS1:61
theorem Th62: :: ROBBINS1:62
theorem Th63: :: ROBBINS1:63