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Type | Label | Description |
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Statement | ||
Theorem | simp3ll 1101 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3lr 1102 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3rl 1103 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3rr 1104 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl11 1105 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl12 1106 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl13 1107 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl21 1108 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl22 1109 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl23 1110 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl31 1111 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl32 1112 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpl33 1113 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr11 1114 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr12 1115 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr13 1116 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr21 1117 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr22 1118 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr23 1119 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr31 1120 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr32 1121 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simpr33 1122 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp1l1 1123 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp1l2 1124 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp1l3 1125 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp1r1 1126 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp1r2 1127 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp1r3 1128 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp2l1 1129 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp2l2 1130 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp2l3 1131 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp2r1 1132 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp2r2 1133 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp2r3 1134 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3l1 1135 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3l2 1136 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3l3 1137 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3r1 1138 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3r2 1139 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp3r3 1140 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp11l 1141 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp11r 1142 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp12l 1143 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp12r 1144 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp13l 1145 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp13r 1146 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp21l 1147 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp21r 1148 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp22l 1149 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp22r 1150 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp23l 1151 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp23r 1152 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp31l 1153 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp31r 1154 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp32l 1155 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp32r 1156 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp33l 1157 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp33r 1158 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp111 1159 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp112 1160 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp113 1161 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp121 1162 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp122 1163 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp123 1164 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp131 1165 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp132 1166 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp133 1167 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp211 1168 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp212 1169 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp213 1170 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp221 1171 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp222 1172 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp223 1173 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp231 1174 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp232 1175 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp233 1176 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp311 1177 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp312 1178 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp313 1179 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp321 1180 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp322 1181 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp323 1182 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp331 1183 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp332 1184 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | simp333 1185 | Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) |
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Theorem | 3adantl1 1186 | Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.) |
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Theorem | 3adantl2 1187 | Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.) |
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Theorem | 3adantl3 1188 | Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.) |
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Theorem | 3adantr1 1189 | Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.) |
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Theorem | 3adantr2 1190 | Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.) |
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Theorem | 3adantr3 1191 | Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.) |
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Theorem | 3ad2antl1 1192 | Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.) |
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Theorem | 3ad2antl2 1193 | Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.) |
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Theorem | 3ad2antl3 1194 | Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.) |
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Theorem | 3ad2antr1 1195 | Deduction adding conjuncts to antecedent. (Contributed by NM, 25-Dec-2007.) |
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Theorem | 3ad2antr2 1196 | Deduction adding conjuncts to antecedent. (Contributed by NM, 27-Dec-2007.) |
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Theorem | 3ad2antr3 1197 | Deduction adding conjuncts to antecedent. (Contributed by NM, 30-Dec-2007.) |
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Theorem | 3anibar 1198 | Remove a hypothesis from the second member of a biimplication. (Contributed by FL, 22-Jul-2008.) |
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Theorem | 3mix1 1199 | Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.) |
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Theorem | 3mix2 1200 | Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.) |
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