HomeHome Intuitionistic Logic Explorer
Theorem List (p. 11 of 94)
< Previous  Next >
Browser slow? Try the
Unicode version.

Mirrors  >  Metamath Home Page  >  ILE Home Page  >  Theorem List Contents  >  Recent Proofs       This page: Page List

Theorem List for Intuitionistic Logic Explorer - 1001-1100   *Has distinct variable group(s)
TypeLabelDescription
Statement
 
Theoremsimp1r3 1001 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp2l1 1002 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp2l2 1003 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp2l3 1004 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp2r1 1005 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp2r2 1006 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp2r3 1007 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp3l1 1008 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp3l2 1009 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp3l3 1010 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp3r1 1011 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp3r2 1012 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp3r3 1013 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp11l 1014 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp11r 1015 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp12l 1016 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp12r 1017 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp13l 1018 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp13r 1019 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp21l 1020 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp21r 1021 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp22l 1022 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp22r 1023 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp23l 1024 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp23r 1025 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp31l 1026 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp31r 1027 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp32l 1028 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp32r 1029 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp33l 1030 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp33r 1031 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp111 1032 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp112 1033 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp113 1034 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp121 1035 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp122 1036 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp123 1037 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp131 1038 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp132 1039 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp133 1040 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp211 1041 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp212 1042 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp213 1043 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp221 1044 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp222 1045 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp223 1046 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp231 1047 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp232 1048 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp233 1049 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp311 1050 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp312 1051 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp313 1052 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp321 1053 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp322 1054 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp323 1055 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp331 1056 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp332 1057 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theoremsimp333 1058 Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
 
Theorem3adantl1 1059 Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.)
   =>   
 
Theorem3adantl2 1060 Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.)
   =>   
 
Theorem3adantl3 1061 Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.)
   =>   
 
Theorem3adantr1 1062 Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.)
   =>   
 
Theorem3adantr2 1063 Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.)
   =>   
 
Theorem3adantr3 1064 Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.)
   =>   
 
Theorem3ad2antl1 1065 Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.)
   =>   
 
Theorem3ad2antl2 1066 Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.)
   =>   
 
Theorem3ad2antl3 1067 Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.)
   =>   
 
Theorem3ad2antr1 1068 Deduction adding a conjuncts to antecedent. (Contributed by NM, 25-Dec-2007.)
   =>   
 
Theorem3ad2antr2 1069 Deduction adding a conjuncts to antecedent. (Contributed by NM, 27-Dec-2007.)
   =>   
 
Theorem3ad2antr3 1070 Deduction adding a conjuncts to antecedent. (Contributed by NM, 30-Dec-2007.)
   =>   
 
Theorem3anibar 1071 Remove a hypothesis from the second member of a biimplication. (Contributed by FL, 22-Jul-2008.)
   =>   
 
Theorem3mix1 1072 Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)
 
Theorem3mix2 1073 Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)
 
Theorem3mix3 1074 Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)
 
Theorem3mix1i 1075 Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)
   =>   
 
Theorem3mix2i 1076 Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)
   =>   
 
Theorem3mix3i 1077 Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)
   =>   
 
Theorem3mix1d 1078 Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)
   =>   
 
Theorem3mix2d 1079 Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)
   =>   
 
Theorem3mix3d 1080 Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)
   =>   
 
Theorem3pm3.2i 1081 Infer conjunction of premises. (Contributed by NM, 10-Feb-1995.)
   &       &       =>   
 
Theorempm3.2an3 1082 pm3.2 126 for a triple conjunction. (Contributed by Alan Sare, 24-Oct-2011.)
 
Theorem3jca 1083 Join consequents with conjunction. (Contributed by NM, 9-Apr-1994.)
   &       &       =>   
 
Theorem3jcad 1084 Deduction conjoining the consequents of three implications. (Contributed by NM, 25-Sep-2005.)
   &       &       =>   
 
Theoremmpbir3an 1085 Detach a conjunction of truths in a biconditional. (Contributed by NM, 16-Sep-2011.) (Revised by NM, 9-Jan-2015.)
   &       &       &       =>   
 
Theoremmpbir3and 1086 Detach a conjunction of truths in a biconditional. (Contributed by Mario Carneiro, 11-May-2014.)
   &       &       &       =>   
 
Theoremsyl3anbrc 1087 Syllogism inference. (Contributed by Mario Carneiro, 11-May-2014.)
   &       &       &       =>   
 
Theorem3anim123i 1088 Join antecedents and consequents with conjunction. (Contributed by NM, 8-Apr-1994.)
   &       &       =>   
 
Theorem3anim1i 1089 Add two conjuncts to antecedent and consequent. (Contributed by Jeff Hankins, 16-Aug-2009.)
   =>   
 
Theorem3anim2i 1090 Add two conjuncts to antecedent and consequent. (Contributed by AV, 21-Nov-2019.)
   =>   
 
Theorem3anim3i 1091 Add two conjuncts to antecedent and consequent. (Contributed by Jeff Hankins, 19-Aug-2009.)
   =>   
 
Theorem3anbi123i 1092 Join 3 biconditionals with conjunction. (Contributed by NM, 21-Apr-1994.)
   &       &       =>   
 
Theorem3orbi123i 1093 Join 3 biconditionals with disjunction. (Contributed by NM, 17-May-1994.)
   &       &       =>   
 
Theorem3anbi1i 1094 Inference adding two conjuncts to each side of a biconditional. (Contributed by NM, 8-Sep-2006.)
   =>   
 
Theorem3anbi2i 1095 Inference adding two conjuncts to each side of a biconditional. (Contributed by NM, 8-Sep-2006.)
   =>   
 
Theorem3anbi3i 1096 Inference adding two conjuncts to each side of a biconditional. (Contributed by NM, 8-Sep-2006.)
   =>   
 
Theorem3imp 1097 Importation inference. (Contributed by NM, 8-Apr-1994.)
   =>   
 
Theorem3impa 1098 Importation from double to triple conjunction. (Contributed by NM, 20-Aug-1995.)
   =>   
 
Theorem3impb 1099 Importation from double to triple conjunction. (Contributed by NM, 20-Aug-1995.)
   =>   
 
Theorem3impia 1100 Importation to triple conjunction. (Contributed by NM, 13-Jun-2006.)
   =>   
    < Previous  Next >

Page List
Jump to page: Contents  1 1-100 2 101-200 3 201-300 4 301-400 5 401-500 6 501-600 7 601-700 8 701-800 9 801-900 10 901-1000 11 1001-1100 12 1101-1200 13 1201-1300 14 1301-1400 15 1401-1500 16 1501-1600 17 1601-1700 18 1701-1800 19 1801-1900 20 1901-2000 21 2001-2100 22 2101-2200 23 2201-2300 24 2301-2400 25 2401-2500 26 2501-2600 27 2601-2700 28 2701-2800 29 2801-2900 30 2901-3000 31 3001-3100 32 3101-3200 33 3201-3300 34 3301-3400 35 3401-3500 36 3501-3600 37 3601-3700 38 3701-3800 39 3801-3900 40 3901-4000 41 4001-4100 42 4101-4200 43 4201-4300 44 4301-4400 45 4401-4500 46 4501-4600 47 4601-4700 48 4701-4800 49 4801-4900 50 4901-5000 51 5001-5100 52 5101-5200 53 5201-5300 54 5301-5400 55 5401-5500 56 5501-5600 57 5601-5700 58 5701-5800 59 5801-5900 60 5901-6000 61 6001-6100 62 6101-6200 63 6201-6300 64 6301-6400 65 6401-6500 66 6501-6600 67 6601-6700 68 6701-6800 69 6801-6900 70 6901-7000 71 7001-7100 72 7101-7200 73 7201-7300 74 7301-7400 75 7401-7500 76 7501-7600 77 7601-7700 78 7701-7800 79 7801-7900 80 7901-8000 81 8001-8100 82 8101-8200 83 8201-8300 84 8301-8400 85 8401-8500 86 8501-8600 87 8601-8700 88 8701-8800 89 8801-8900 90 8901-9000 91 9001-9100 92 9101-9200 93 9201-9300 94 9301-9381
  Copyright terms: Public domain < Previous  Next >