:: RCOMP_1 semantic presentation
theorem Th1: :: RCOMP_1:1
theorem :: RCOMP_1:2
canceled;
theorem Th3: :: RCOMP_1:3
theorem Th4: :: RCOMP_1:4
theorem :: RCOMP_1:5
:: deftheorem defines [. RCOMP_1:def 1 :
:: deftheorem defines ]. RCOMP_1:def 2 :
theorem :: RCOMP_1:6
canceled;
theorem :: RCOMP_1:7
canceled;
theorem Th8: :: RCOMP_1:8
theorem :: RCOMP_1:9
theorem :: RCOMP_1:10
theorem :: RCOMP_1:11
theorem Th12: :: RCOMP_1:12
theorem Th13: :: RCOMP_1:13
theorem :: RCOMP_1:14
theorem Th15: :: RCOMP_1:15
theorem Th16: :: RCOMP_1:16
theorem :: RCOMP_1:17
theorem :: RCOMP_1:18
:: deftheorem Def3 defines compact RCOMP_1:def 3 :
:: deftheorem Def4 defines closed RCOMP_1:def 4 :
:: deftheorem Def5 defines open RCOMP_1:def 5 :
theorem :: RCOMP_1:19
canceled;
theorem :: RCOMP_1:20
canceled;
theorem :: RCOMP_1:21
canceled;
theorem Th22: :: RCOMP_1:22
theorem Th23: :: RCOMP_1:23
theorem :: RCOMP_1:24
theorem Th25: :: RCOMP_1:25
theorem Th26: :: RCOMP_1:26
theorem Th27: :: RCOMP_1:27
theorem Th28: :: RCOMP_1:28
theorem :: RCOMP_1:29
theorem Th30: :: RCOMP_1:30
theorem Th31: :: RCOMP_1:31
theorem :: RCOMP_1:32
theorem :: RCOMP_1:33
:: deftheorem RCOMP_1:def 6 :
canceled;
:: deftheorem Def7 defines Neighbourhood RCOMP_1:def 7 :
theorem :: RCOMP_1:34
canceled;
theorem :: RCOMP_1:35
canceled;
theorem :: RCOMP_1:36
canceled;
theorem :: RCOMP_1:37
theorem :: RCOMP_1:38
theorem Th39: :: RCOMP_1:39
theorem :: RCOMP_1:40
theorem Th41: :: RCOMP_1:41
theorem :: RCOMP_1:42
theorem Th43: :: RCOMP_1:43
theorem Th44: :: RCOMP_1:44
theorem :: RCOMP_1:45
theorem :: RCOMP_1:46
theorem :: RCOMP_1:47
theorem :: RCOMP_1:48
theorem :: RCOMP_1:49
theorem :: RCOMP_1:50
theorem :: RCOMP_1:51
theorem :: RCOMP_1:52