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Theorem List for Intuitionistic Logic Explorer - 1001-1100   *Has distinct variable group(s)
TypeLabelDescription
Statement

Theoremsimp1r2 1001 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp1r3 1002 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2l1 1003 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2l2 1004 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2l3 1005 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2r1 1006 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2r2 1007 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp2r3 1008 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3l1 1009 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3l2 1010 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3l3 1011 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3r1 1012 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3r2 1013 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp3r3 1014 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp11l 1015 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp11r 1016 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp12l 1017 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp12r 1018 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp13l 1019 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp13r 1020 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp21l 1021 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp21r 1022 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp22l 1023 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp22r 1024 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp23l 1025 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp23r 1026 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp31l 1027 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp31r 1028 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp32l 1029 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp32r 1030 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp33l 1031 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp33r 1032 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp111 1033 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp112 1034 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp113 1035 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp121 1036 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp122 1037 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp123 1038 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp131 1039 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp132 1040 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp133 1041 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp211 1042 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp212 1043 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp213 1044 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp221 1045 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp222 1046 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp223 1047 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp231 1048 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp232 1049 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp233 1050 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp311 1051 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp312 1052 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp313 1053 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp321 1054 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp322 1055 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp323 1056 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp331 1057 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp332 1058 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theoremsimp333 1059 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Theorem3adantl1 1060 Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.)

Theorem3adantl2 1061 Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.)

Theorem3adantl3 1062 Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.)

Theorem3adantr1 1063 Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.)

Theorem3adantr2 1064 Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.)

Theorem3adantr3 1065 Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.)

Theorem3ad2antr1 1069 Deduction adding a conjuncts to antecedent. (Contributed by NM, 25-Dec-2007.)

Theorem3ad2antr2 1070 Deduction adding a conjuncts to antecedent. (Contributed by NM, 27-Dec-2007.)

Theorem3ad2antr3 1071 Deduction adding a conjuncts to antecedent. (Contributed by NM, 30-Dec-2007.)

Theorem3anibar 1072 Remove a hypothesis from the second member of a biimplication. (Contributed by FL, 22-Jul-2008.)

Theorem3mix1 1073 Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)

Theorem3mix2 1074 Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)

Theorem3mix3 1075 Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)

Theorem3mix1i 1076 Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)

Theorem3mix2i 1077 Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)

Theorem3mix3i 1078 Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)

Theorem3mix1d 1079 Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)

Theorem3mix2d 1080 Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)

Theorem3mix3d 1081 Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)

Theorem3pm3.2i 1082 Infer conjunction of premises. (Contributed by NM, 10-Feb-1995.)

Theorempm3.2an3 1083 pm3.2 126 for a triple conjunction. (Contributed by Alan Sare, 24-Oct-2011.)

Theorem3jca 1084 Join consequents with conjunction. (Contributed by NM, 9-Apr-1994.)

Theorem3jcad 1085 Deduction conjoining the consequents of three implications. (Contributed by NM, 25-Sep-2005.)

Theoremmpbir3an 1086 Detach a conjunction of truths in a biconditional. (Contributed by NM, 16-Sep-2011.) (Revised by NM, 9-Jan-2015.)

Theoremmpbir3and 1087 Detach a conjunction of truths in a biconditional. (Contributed by Mario Carneiro, 11-May-2014.)

Theoremsyl3anbrc 1088 Syllogism inference. (Contributed by Mario Carneiro, 11-May-2014.)

Theorem3anim123i 1089 Join antecedents and consequents with conjunction. (Contributed by NM, 8-Apr-1994.)

Theorem3anim1i 1090 Add two conjuncts to antecedent and consequent. (Contributed by Jeff Hankins, 16-Aug-2009.)

Theorem3anim2i 1091 Add two conjuncts to antecedent and consequent. (Contributed by AV, 21-Nov-2019.)

Theorem3anim3i 1092 Add two conjuncts to antecedent and consequent. (Contributed by Jeff Hankins, 19-Aug-2009.)

Theorem3anbi123i 1093 Join 3 biconditionals with conjunction. (Contributed by NM, 21-Apr-1994.)

Theorem3orbi123i 1094 Join 3 biconditionals with disjunction. (Contributed by NM, 17-May-1994.)

Theorem3anbi1i 1095 Inference adding two conjuncts to each side of a biconditional. (Contributed by NM, 8-Sep-2006.)

Theorem3anbi2i 1096 Inference adding two conjuncts to each side of a biconditional. (Contributed by NM, 8-Sep-2006.)

Theorem3anbi3i 1097 Inference adding two conjuncts to each side of a biconditional. (Contributed by NM, 8-Sep-2006.)

Theorem3imp 1098 Importation inference. (Contributed by NM, 8-Apr-1994.)

Theorem3impa 1099 Importation from double to triple conjunction. (Contributed by NM, 20-Aug-1995.)

Theorem3impb 1100 Importation from double to triple conjunction. (Contributed by NM, 20-Aug-1995.)

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