:: URYSOHN1 semantic presentation
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:: deftheorem defines R<0 URYSOHN1:def 1 :
:: deftheorem defines R>1 URYSOHN1:def 2 :
:: deftheorem Def3 defines dyadic URYSOHN1:def 3 :
:: deftheorem Def4 defines DYADIC URYSOHN1:def 4 :
:: deftheorem defines DOM URYSOHN1:def 5 :
theorem :: URYSOHN1:1
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canceled;
theorem :: URYSOHN1:2
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canceled;
theorem :: URYSOHN1:3
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canceled;
theorem :: URYSOHN1:4
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canceled;
theorem Th5: :: URYSOHN1:5
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theorem Th6: :: URYSOHN1:6
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theorem :: URYSOHN1:7
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theorem :: URYSOHN1:8
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canceled;
theorem Th9: :: URYSOHN1:9
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:: deftheorem Def6 defines dyad URYSOHN1:def 6 :
theorem :: URYSOHN1:10
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theorem Th11: :: URYSOHN1:11
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theorem Th12: :: URYSOHN1:12
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theorem Th13: :: URYSOHN1:13
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theorem Th14: :: URYSOHN1:14
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theorem Th15: :: URYSOHN1:15
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:: deftheorem Def7 defines axis URYSOHN1:def 7 :
theorem Th16: :: URYSOHN1:16
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theorem :: URYSOHN1:17
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theorem Th18: :: URYSOHN1:18
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theorem :: URYSOHN1:19
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canceled;
theorem Th20: :: URYSOHN1:20
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theorem Th21: :: URYSOHN1:21
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theorem Th22: :: URYSOHN1:22
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theorem Th23: :: URYSOHN1:23
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:: deftheorem defines Nbhd URYSOHN1:def 8 :
theorem Th24: :: URYSOHN1:24
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theorem :: URYSOHN1:25
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canceled;
theorem :: URYSOHN1:26
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:: deftheorem Def9 defines being_T1 URYSOHN1:def 9 :
theorem Th27: :: URYSOHN1:27
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theorem Th28: :: URYSOHN1:28
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theorem :: URYSOHN1:29
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theorem :: URYSOHN1:30
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theorem :: URYSOHN1:31
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:: deftheorem Def10 defines Between URYSOHN1:def 10 :
theorem :: URYSOHN1:32
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