:: MEMBERED semantic presentation
Lm1: 1 =
succ 0
.=
0 \/ {0}
by ORDINAL1:def 1
.=
{0}
;
:: deftheorem Def1 defines complex-membered MEMBERED:def 1 :
:: deftheorem Def2 defines real-membered MEMBERED:def 2 :
:: deftheorem Def3 defines rational-membered MEMBERED:def 3 :
:: deftheorem Def4 defines integer-membered MEMBERED:def 4 :
:: deftheorem Def5 defines natural-membered MEMBERED:def 5 :
theorem Th1: :: MEMBERED:1
theorem Th2: :: MEMBERED:2
theorem Th3: :: MEMBERED:3
theorem Th4: :: MEMBERED:4
theorem Th5: :: MEMBERED:5
theorem :: MEMBERED:6
theorem :: MEMBERED:7
theorem :: MEMBERED:8
theorem :: MEMBERED:9
theorem :: MEMBERED:10
theorem :: MEMBERED:11
theorem :: MEMBERED:12
theorem :: MEMBERED:13
theorem :: MEMBERED:14
theorem :: MEMBERED:15
theorem Th16: :: MEMBERED:16
theorem Th17: :: MEMBERED:17
theorem Th18: :: MEMBERED:18
theorem Th19: :: MEMBERED:19
theorem Th20: :: MEMBERED:20
:: deftheorem Def6 defines c= MEMBERED:def 6 :
:: deftheorem Def7 defines c= MEMBERED:def 7 :
:: deftheorem Def8 defines c= MEMBERED:def 8 :
:: deftheorem Def9 defines c= MEMBERED:def 9 :
:: deftheorem Def10 defines c= MEMBERED:def 10 :
:: deftheorem defines = MEMBERED:def 11 :
:: deftheorem defines = MEMBERED:def 12 :
:: deftheorem defines = MEMBERED:def 13 :
:: deftheorem defines = MEMBERED:def 14 :
:: deftheorem defines = MEMBERED:def 15 :
:: deftheorem defines meets MEMBERED:def 16 :
:: deftheorem defines meets MEMBERED:def 17 :
:: deftheorem defines meets MEMBERED:def 18 :
:: deftheorem defines meets MEMBERED:def 19 :
:: deftheorem defines meets MEMBERED:def 20 :
theorem :: MEMBERED:21
theorem :: MEMBERED:22
theorem :: MEMBERED:23
theorem :: MEMBERED:24
theorem :: MEMBERED:25
theorem :: MEMBERED:26
theorem :: MEMBERED:27
theorem :: MEMBERED:28
theorem :: MEMBERED:29
theorem :: MEMBERED:30