Type | Label | Description |
Statement |
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Theorem | simpl2 1001 |
Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)
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Theorem | simpl3 1002 |
Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)
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Theorem | simpr1 1003 |
Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)
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Theorem | simpr2 1004 |
Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)
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Theorem | simpr3 1005 |
Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)
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Theorem | simp1i 1006 |
Infer a conjunct from a triple conjunction. (Contributed by NM,
19-Apr-2005.)
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Theorem | simp2i 1007 |
Infer a conjunct from a triple conjunction. (Contributed by NM,
19-Apr-2005.)
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Theorem | simp3i 1008 |
Infer a conjunct from a triple conjunction. (Contributed by NM,
19-Apr-2005.)
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Theorem | simp1d 1009 |
Deduce a conjunct from a triple conjunction. (Contributed by NM,
4-Sep-2005.)
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Theorem | simp2d 1010 |
Deduce a conjunct from a triple conjunction. (Contributed by NM,
4-Sep-2005.)
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Theorem | simp3d 1011 |
Deduce a conjunct from a triple conjunction. (Contributed by NM,
4-Sep-2005.)
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Theorem | simp1bi 1012 |
Deduce a conjunct from a triple conjunction. (Contributed by Jonathan
Ben-Naim, 3-Jun-2011.)
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Theorem | simp2bi 1013 |
Deduce a conjunct from a triple conjunction. (Contributed by Jonathan
Ben-Naim, 3-Jun-2011.)
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Theorem | simp3bi 1014 |
Deduce a conjunct from a triple conjunction. (Contributed by Jonathan
Ben-Naim, 3-Jun-2011.)
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Theorem | 3adant1 1015 |
Deduction adding a conjunct to antecedent. (Contributed by NM,
16-Jul-1995.)
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Theorem | 3adant2 1016 |
Deduction adding a conjunct to antecedent. (Contributed by NM,
16-Jul-1995.)
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Theorem | 3adant3 1017 |
Deduction adding a conjunct to antecedent. (Contributed by NM,
16-Jul-1995.)
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Theorem | 3ad2ant1 1018 |
Deduction adding conjuncts to an antecedent. (Contributed by NM,
21-Apr-2005.)
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Theorem | 3ad2ant2 1019 |
Deduction adding conjuncts to an antecedent. (Contributed by NM,
21-Apr-2005.)
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Theorem | 3ad2ant3 1020 |
Deduction adding conjuncts to an antecedent. (Contributed by NM,
21-Apr-2005.)
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Theorem | simp1l 1021 |
Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)
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Theorem | simp1r 1022 |
Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)
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Theorem | simp2l 1023 |
Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)
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Theorem | simp2r 1024 |
Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)
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Theorem | simp3l 1025 |
Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)
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Theorem | simp3r 1026 |
Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.)
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Theorem | simp11 1027 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simp12 1028 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simp13 1029 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simp21 1030 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simp22 1031 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simp23 1032 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simp31 1033 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simp32 1034 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simp33 1035 |
Simplification of doubly triple conjunction. (Contributed by NM,
17-Nov-2011.)
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Theorem | simpll1 1036 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpll2 1037 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpll3 1038 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simplr1 1039 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simplr2 1040 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simplr3 1041 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simprl1 1042 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simprl2 1043 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simprl3 1044 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simprr1 1045 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simprr2 1046 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simprr3 1047 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl1l 1048 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl1r 1049 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl2l 1050 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl2r 1051 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl3l 1052 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl3r 1053 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr1l 1054 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr1r 1055 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr2l 1056 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr2r 1057 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr3l 1058 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr3r 1059 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1ll 1060 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1lr 1061 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1rl 1062 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1rr 1063 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2ll 1064 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2lr 1065 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2rl 1066 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2rr 1067 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp3ll 1068 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp3lr 1069 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp3rl 1070 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp3rr 1071 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl11 1072 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl12 1073 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl13 1074 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl21 1075 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl22 1076 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl23 1077 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl31 1078 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl32 1079 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpl33 1080 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr11 1081 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr12 1082 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr13 1083 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr21 1084 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr22 1085 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr23 1086 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr31 1087 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr32 1088 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simpr33 1089 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1l1 1090 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1l2 1091 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1l3 1092 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1r1 1093 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1r2 1094 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp1r3 1095 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2l1 1096 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2l2 1097 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2l3 1098 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2r1 1099 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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Theorem | simp2r2 1100 |
Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
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