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",[578,1155,1157,1170],{"className":1156},[581],[578,1158,1160],{"className":1159},[585],[587,1161,1162],{"xmlns":589},[591,1163,1164,1168],{},[594,1165,1166],{},[601,1167,853],{},[609,1169,853],{"encoding":611},[578,1171,1173],{"className":1172,"ariaHidden":599},[616],[578,1174,1176,1179],{"className":1175},[620],[578,1177],{"className":1178,"style":702},[624],[578,1180,853],{"className":1181,"style":868},[629,657],[578,1183,1185,1225],{"className":1184},[581],[578,1186,1188],{"className":1187},[585],[587,1189,1190],{"xmlns":589},[591,1191,1192,1222],{},[594,1193,1194,1206,1208,1214,1216],{},[597,1195,1196,1204],{"accent":599},[594,1197,1198,1200,1202],{},[601,1199,603],{},[605,1201,787],{},[601,1203,853],{},[605,1205,607],{"stretchy":599},[605,1207,954],{},[597,1209,1210,1212],{"accent":599},[601,1211,603],{},[605,1213,607],{"stretchy":599},[605,1215,755],{},[597,1217,1218,1220],{"accent":599},[601,1219,853],{},[605,1221,607],{"stretchy":599},[609,1223,1224],{"encoding":611},"\\overline{A \\cap B} = \\overline{A} \\cup \\overline{B}",[578,1226,1228,1286,1332],{"className":1227,"ariaHidden":599},[616],[578,1229,1231,1234,1277,1280,1283],{"className":1230},[620],[578,1232],{"className":1233,"style":625},[624],[578,1235,1237],{"className":1236},[629,630],[578,1238,1240],{"className":1239},[634],[578,1241,1243],{"className":1242},[638],[578,1244,1246,1269],{"className":1245,"style":625},[642],[578,1247,1248,1251],{"style":645},[578,1249],{"className":1250,"style":650},[649],[578,1252,1254,1257,1260,1263,1266],{"className":1253},[629],[578,1255,603],{"className":1256},[629,657],[578,1258],{"className":1259,"style":1008},[1007],[578,1261,787],{"className":1262},[1012],[578,1264],{"className":1265,"style":1008},[1007],[578,1267,853],{"className":1268,"style":868},[629,657],[578,1270,1271,1274],{"style":660},[578,1272],{"className":1273,"style":650},[649],[578,1275],{"className":1276,"style":668},[667],[578,1278],{"className":1279,"style":1030},[1007],[578,1281,954],{"className":1282},[1034],[578,1284],{"className":1285,"style":1030},[1007],[578,1287,1289,1292,1323,1326,1329],{"className":1288},[620],[578,1290],{"className":1291,"style":625},[624],[578,1293,1295],{"className":1294},[629,630],[578,1296,1298],{"className":1297},[634],[578,1299,1301],{"className":1300},[638],[578,1302,1304,1315],{"className":1303,"style":625},[642],[578,1305,1306,1309],{"style":645},[578,1307],{"className":1308,"style":650},[649],[578,1310,1312],{"className":1311},[629],[578,1313,603],{"className":1314},[629,657],[578,1316,1317,1320],{"style":660},[578,1318],{"className":1319,"style":650},[649],[578,1321],{"className":1322,"style":668},[667],[578,1324],{"className":1325,"style":1008},[1007],[578,1327,755],{"className":1328},[1012],[578,1330],{"className":1331,"style":1008},[1007],[578,1333,1335,1338],{"className":1334},[620],[578,1336],{"className":1337,"style":625},[624],[578,1339,1341],{"className":1340},[629,630],[578,1342,1344],{"className":1343},[634],[578,1345,1347],{"className":1346},[638],[578,1348,1350,1361],{"className":1349,"style":625},[642],[578,1351,1352,1355],{"style":645},[578,1353],{"className":1354,"style":650},[649],[578,1356,1358],{"className":1357},[629],[578,1359,853],{"className":1360,"style":868},[629,657],[578,1362,1363,1366],{"style":660},[578,1364],{"className":1365,"style":650},[649],[578,1367],{"className":1368,"style":668},[667],[565,1370,1371,1372,1476,1477,1596,1597,1767,1768,1121],{},"Beweis: ",[578,1373,1375,1405],{"className":1374},[581],[578,1376,1378],{"className":1377},[585],[587,1379,1380],{"xmlns":589},[591,1381,1382,1402],{},[594,1383,1384,1387,1390],{},[601,1385,1386],{},"x",[605,1388,1389],{},"∈",[597,1391,1392,1400],{"accent":599},[594,1393,1394,1396,1398],{},[601,1395,603],{},[605,1397,755],{},[601,1399,853],{},[605,1401,607],{"stretchy":599},[609,1403,1404],{"encoding":611},"x \\in \\overline{A \\cup B}",[578,1406,1408,1427],{"className":1407,"ariaHidden":599},[616],[578,1409,1411,1415,1418,1421,1424],{"className":1410},[620],[578,1412],{"className":1413,"style":1414},[624],"height:0.5782em;vertical-align:-0.0391em;",[578,1416,1386],{"className":1417},[629,657],[578,1419],{"className":1420,"style":1030},[1007],[578,1422,1389],{"className":1423},[1034],[578,1425],{"className":1426,"style":1030},[1007],[578,1428,1430,1433],{"className":1429},[620],[578,1431],{"className":1432,"style":625},[624],[578,1434,1436],{"className":1435},[629,630],[578,1437,1439],{"className":1438},[634],[578,1440,1442],{"className":1441},[638],[578,1443,1445,1468],{"className":1444,"style":625},[642],[578,1446,1447,1450],{"style":645},[578,1448],{"className":1449,"style":650},[649],[578,1451,1453,1456,1459,1462,1465],{"className":1452},[629],[578,1454,603],{"className":1455},[629,657],[578,1457],{"className":1458,"style":1008},[1007],[578,1460,755],{"className":1461},[1012],[578,1463],{"className":1464,"style":1008},[1007],[578,1466,853],{"className":1467,"style":868},[629,657],[578,1469,1470,1473],{"style":660},[578,1471],{"className":1472,"style":650},[649],[578,1474],{"className":1475,"style":668},[667]," bedeutet ",[578,1478,1480,1518],{"className":1479},[581],[578,1481,1483],{"className":1482},[585],[587,1484,1485],{"xmlns":589},[591,1486,1487,1515],{},[594,1488,1489,1493,1497,1499,1501,1503,1506,1508,1510,1512],{},[601,1490,1492],{"mathvariant":1491},"normal","¬",[605,1494,1496],{"stretchy":1495},"false","(",[601,1498,1386],{},[605,1500,1389],{},[601,1502,603],{},[605,1504,1505],{},"∨",[601,1507,1386],{},[605,1509,1389],{},[601,1511,853],{},[605,1513,1514],{"stretchy":1495},")",[609,1516,1517],{"encoding":611},"\\neg(x \\in A \\vee x \\in B)",[578,1519,1521,1547,1565,1583],{"className":1520,"ariaHidden":599},[616],[578,1522,1524,1528,1531,1535,1538,1541,1544],{"className":1523},[620],[578,1525],{"className":1526,"style":1527},[624],"height:1em;vertical-align:-0.25em;",[578,1529,1492],{"className":1530},[629],[578,1532,1496],{"className":1533},[1534],"mopen",[578,1536,1386],{"className":1537},[629,657],[578,1539],{"className":1540,"style":1030},[1007],[578,1542,1389],{"className":1543},[1034],[578,1545],{"className":1546,"style":1030},[1007],[578,1548,1550,1553,1556,1559,1562],{"className":1549},[620],[578,1551],{"className":1552,"style":702},[624],[578,1554,603],{"className":1555},[629,657],[578,1557],{"className":1558,"style":1008},[1007],[578,1560,1505],{"className":1561},[1012],[578,1563],{"className":1564,"style":1008},[1007],[578,1566,1568,1571,1574,1577,1580],{"className":1567},[620],[578,1569],{"className":1570,"style":1414},[624],[578,1572,1386],{"className":1573},[629,657],[578,1575],{"className":1576,"style":1030},[1007],[578,1578,1389],{"className":1579},[1034],[578,1581],{"className":1582,"style":1030},[1007],[578,1584,1586,1589,1592],{"className":1585},[620],[578,1587],{"className":1588,"style":1527},[624],[578,1590,853],{"className":1591,"style":868},[629,657],[578,1593,1514],{"className":1594},[1595],"mclose",". Nach den De-Morgan-Regeln der Logik ist das gleichwertig zu ",[578,1598,1600,1628],{"className":1599},[581],[578,1601,1603],{"className":1602},[585],[587,1604,1605],{"xmlns":589},[591,1606,1607,1625],{},[594,1608,1609,1611,1614,1616,1619,1621,1623],{},[601,1610,1386],{},[605,1612,1613],{"mathvariant":1491},"∉",[601,1615,603],{},[605,1617,1618],{},"∧",[601,1620,1386],{},[605,1622,1613],{"mathvariant":1491},[601,1624,853],{},[609,1626,1627],{"encoding":611},"x \\notin A \\wedge x \\notin B",[578,1629,1631,1689,1707,1758],{"className":1630,"ariaHidden":599},[616],[578,1632,1634,1637,1640,1643,1686],{"className":1633},[620],[578,1635],{"className":1636,"style":1527},[624],[578,1638,1386],{"className":1639},[629,657],[578,1641],{"className":1642,"style":1030},[1007],[578,1644,1646,1652],{"className":1645},[1034],[578,1647,1649],{"className":1648},[629],[578,1650,1389],{"className":1651},[1034],[578,1653,1656],{"className":1654},[629,1655],"vbox",[578,1657,1660],{"className":1658},[1659],"thinbox",[578,1661,1664,1667,1682],{"className":1662},[1663],"llap",[578,1665],{"className":1666,"style":1527},[624],[578,1668,1671],{"className":1669},[1670],"inner",[578,1672,1674,1678],{"className":1673},[629],[578,1675,1677],{"className":1676},[629],"\u002F",[578,1679],{"className":1680,"style":1681},[1007],"margin-right:0.0556em;",[578,1683],{"className":1684},[1685],"fix",[578,1687],{"className":1688,"style":1030},[1007],[578,1690,1692,1695,1698,1701,1704],{"className":1691},[620],[578,1693],{"className":1694,"style":702},[624],[578,1696,603],{"className":1697},[629,657],[578,1699],{"className":1700,"style":1008},[1007],[578,1702,1618],{"className":1703},[1012],[578,1705],{"className":1706,"style":1008},[1007],[578,1708,1710,1713,1716,1719,1755],{"className":1709},[620],[578,1711],{"className":1712,"style":1527},[624],[578,1714,1386],{"className":1715},[629,657],[578,1717],{"className":1718,"style":1030},[1007],[578,1720,1722,1728],{"className":1721},[1034],[578,1723,1725],{"className":1724},[629],[578,1726,1389],{"className":1727},[1034],[578,1729,1731],{"className":1730},[629,1655],[578,1732,1734],{"className":1733},[1659],[578,1735,1737,1740,1752],{"className":1736},[1663],[578,1738],{"className":1739,"style":1527},[624],[578,1741,1743],{"className":1742},[1670],[578,1744,1746,1749],{"className":1745},[629],[578,1747,1677],{"className":1748},[629],[578,1750],{"className":1751,"style":1681},[1007],[578,1753],{"className":1754},[1685],[578,1756],{"className":1757,"style":1030},[1007],[578,1759,1761,1764],{"className":1760},[620],[578,1762],{"className":1763,"style":702},[624],[578,1765,853],{"className":1766,"style":868},[629,657],", also ",[578,1769,1771,1801],{"className":1770},[581],[578,1772,1774],{"className":1773},[585],[587,1775,1776],{"xmlns":589},[591,1777,1778,1798],{},[594,1779,1780,1782,1784,1790,1792],{},[601,1781,1386],{},[605,1783,1389],{},[597,1785,1786,1788],{"accent":599},[601,1787,603],{},[605,1789,607],{"stretchy":599},[605,1791,787],{},[597,1793,1794,1796],{"accent":599},[601,1795,853],{},[605,1797,607],{"stretchy":599},[609,1799,1800],{"encoding":611},"x \\in \\overline{A} \\cap \\overline{B}",[578,1802,1804,1822,1868],{"className":1803,"ariaHidden":599},[616],[578,1805,1807,1810,1813,1816,1819],{"className":1806},[620],[578,1808],{"className":1809,"style":1414},[624],[578,1811,1386],{"className":1812},[629,657],[578,1814],{"className":1815,"style":1030},[1007],[578,1817,1389],{"className":1818},[1034],[578,1820],{"className":1821,"style":1030},[1007],[578,1823,1825,1828,1859,1862,1865],{"className":1824},[620],[578,1826],{"className":1827,"style":625},[624],[578,1829,1831],{"className":1830},[629,630],[578,1832,1834],{"className":1833},[634],[578,1835,1837],{"className":1836},[638],[578,1838,1840,1851],{"className":1839,"style":625},[642],[578,1841,1842,1845],{"style":645},[578,1843],{"className":1844,"style":650},[649],[578,1846,1848],{"className":1847},[629],[578,1849,603],{"className":1850},[629,657],[578,1852,1853,1856],{"style":660},[578,1854],{"className":1855,"style":650},[649],[578,1857],{"className":1858,"style":668},[667],[578,1860],{"className":1861,"style":1008},[1007],[578,1863,787],{"className":1864},[1012],[578,1866],{"className":1867,"style":1008},[1007],[578,1869,1871,1874],{"className":1870},[620],[578,1872],{"className":1873,"style":625},[624],[578,1875,1877],{"className":1876},[629,630],[578,1878,1880],{"className":1879},[634],[578,1881,1883],{"className":1882},[638],[578,1884,1886,1897],{"className":1885,"style":625},[642],[578,1887,1888,1891],{"style":645},[578,1889],{"className":1890,"style":650},[649],[578,1892,1894],{"className":1893},[629],[578,1895,853],{"className":1896,"style":868},[629,657],[578,1898,1899,1902],{"style":660},[578,1900],{"className":1901,"style":650},[649],[578,1903],{"className":1904,"style":668},[667],[565,1906,1907,1908,2249,2250,2444,2445,669,2473,2501,2502,2530,2531,2559],{},"Die Regeln gelten für beliebig viele Mengen, ",[578,1909,1911,1963],{"className":1910},[581],[578,1912,1914],{"className":1913},[585],[587,1915,1916],{"xmlns":589},[591,1917,1918,1960],{},[594,1919,1920,1941,1943,1950],{},[597,1921,1922,1939],{"accent":599},[594,1923,1924,1933],{},[1925,1926,1927,1930],"msub",{},[605,1928,1929],{},"⋃",[601,1931,1932],{},"i",[1925,1934,1935,1937],{},[601,1936,603],{},[601,1938,1932],{},[605,1940,607],{"stretchy":599},[605,1942,954],{},[1925,1944,1945,1948],{},[605,1946,1947],{},"⋂",[601,1949,1932],{},[597,1951,1952,1958],{"accent":599},[1925,1953,1954,1956],{},[601,1955,603],{},[601,1957,1932],{},[605,1959,607],{"stretchy":599},[609,1961,1962],{"encoding":611},"\\overline{\\bigcup_i A_i} = \\bigcap_i 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und auch für Differenzen: ",[578,2251,2253,2305],{"className":2252},[581],[578,2254,2256],{"className":2255},[585],[587,2257,2258],{"xmlns":589},[591,2259,2260,2302],{},[594,2261,2262,2265,2268,2270,2272,2274,2276,2278,2280,2282,2284,2286,2288,2290,2292,2294,2296,2298,2300],{},[601,2263,2264],{},"C",[605,2266,2267],{},"∖",[605,2269,1496],{"stretchy":1495},[601,2271,603],{},[605,2273,755],{},[601,2275,853],{},[605,2277,1514],{"stretchy":1495},[605,2279,954],{},[605,2281,1496],{"stretchy":1495},[601,2283,2264],{},[605,2285,2267],{},[601,2287,603],{},[605,2289,1514],{"stretchy":1495},[605,2291,787],{},[605,2293,1496],{"stretchy":1495},[601,2295,2264],{},[605,2297,2267],{},[601,2299,853],{},[605,2301,1514],{"stretchy":1495},[609,2303,2304],{"encoding":611},"C \\setminus (A \\cup B) = (C \\setminus A) \\cap (C \\setminus 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In der Stochastik liefern sie Gegenereignisse, z.B. ist das Gegenteil von „",[578,2446,2448,2461],{"className":2447},[581],[578,2449,2451],{"className":2450},[585],[587,2452,2453],{"xmlns":589},[591,2454,2455,2459],{},[594,2456,2457],{},[601,2458,603],{},[609,2460,603],{"encoding":611},[578,2462,2464],{"className":2463,"ariaHidden":599},[616],[578,2465,2467,2470],{"className":2466},[620],[578,2468],{"className":2469,"style":702},[624],[578,2471,603],{"className":2472},[629,657],[578,2474,2476,2489],{"className":2475},[581],[578,2477,2479],{"className":2478},[585],[587,2480,2481],{"xmlns":589},[591,2482,2483,2487],{},[594,2484,2485],{},[601,2486,853],{},[609,2488,853],{"encoding":611},[578,2490,2492],{"className":2491,"ariaHidden":599},[616],[578,2493,2495,2498],{"className":2494},[620],[578,2496],{"className":2497,"style":702},[624],[578,2499,853],{"className":2500,"style":868},[629,657]," tritt ein“ das Ereignis „weder 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(gerade Zahlen), ",[578,2787,2789,2821],{"className":2788},[581],[578,2790,2792],{"className":2791},[585],[587,2793,2794],{"xmlns":589},[591,2795,2796,2818],{},[594,2797,2798,2800,2802,2804,2807,2809,2811,2813,2816],{},[601,2799,853],{},[605,2801,954],{},[605,2803,2586],{"stretchy":1495},[2588,2805,2806],{},"3",[605,2808,2593],{"separator":599},[2588,2810,2698],{},[605,2812,2593],{"separator":599},[2588,2814,2815],{},"9",[605,2817,2604],{"stretchy":1495},[609,2819,2820],{"encoding":611},"B = \\{3, 6, 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Elemente, also ",[578,3173,3175,3215],{"className":3174},[581],[578,3176,3178],{"className":3177},[585],[587,3179,3180],{"xmlns":589},[591,3181,3182,3212],{},[594,3183,3184,3196,3198,3200,3202,3204,3206,3208,3210],{},[597,3185,3186,3194],{"accent":599},[594,3187,3188,3190,3192],{},[601,3189,603],{},[605,3191,755],{},[601,3193,853],{},[605,3195,607],{"stretchy":599},[605,3197,954],{},[605,3199,2586],{"stretchy":1495},[2588,3201,2590],{},[605,3203,2593],{"separator":599},[2588,3205,3085],{},[605,3207,2593],{"separator":599},[2588,3209,3100],{},[605,3211,2604],{"stretchy":1495},[609,3213,3214],{"encoding":611},"\\overline{A \\cup B} = \\{1, 5, 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B}",[578,3882,3884],{"className":3883,"ariaHidden":599},[616],[578,3885,3887,3890],{"className":3886},[620],[578,3888],{"className":3889,"style":625},[624],[578,3891,3893],{"className":3892},[629,630],[578,3894,3896],{"className":3895},[634],[578,3897,3899],{"className":3898},[638],[578,3900,3902,3925],{"className":3901,"style":625},[642],[578,3903,3904,3907],{"style":645},[578,3905],{"className":3906,"style":650},[649],[578,3908,3910,3913,3916,3919,3922],{"className":3909},[629],[578,3911,603],{"className":3912},[629,657],[578,3914],{"className":3915,"style":1008},[1007],[578,3917,787],{"className":3918},[1012],[578,3920],{"className":3921,"style":1008},[1007],[578,3923,853],{"className":3924,"style":868},[629,657],[578,3926,3927,3930],{"style":660},[578,3928],{"className":3929,"style":650},[649],[578,3931],{"className":3932,"style":668},[667]," genau 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9",[578,3960,3962,3980,3998],{"className":3961,"ariaHidden":599},[616],[578,3963,3965,3968,3971,3974,3977],{"className":3964},[620],[578,3966],{"className":3967,"style":3113},[624],[578,3969,2601],{"className":3970},[629],[578,3972],{"className":3973,"style":1008},[1007],[578,3975,3093],{"className":3976},[1012],[578,3978],{"className":3979,"style":1008},[1007],[578,3981,3983,3986,3989,3992,3995],{"className":3982},[620],[578,3984],{"className":3985,"style":2901},[624],[578,3987,2590],{"className":3988},[629],[578,3990],{"className":3991,"style":1030},[1007],[578,3993,954],{"className":3994},[1034],[578,3996],{"className":3997,"style":1030},[1007],[578,3999,4001,4004],{"className":4000},[620],[578,4002],{"className":4003,"style":2901},[624],[578,4005,2815],{"className":4006},[629]," Elemente. Die Vereinigung ",[578,4009,4011,4037],{"className":4010},[581],[578,4012,4014],{"className":4013},[585],[587,4015,4016],{"xmlns":589},[591,4017,4018,4034],{},[594,4019,4020,4026,4028],{},[597,4021,4022,4024],{"accent":599},[601,4023,603],{},[605,4025,607],{"stretchy":599},[605,4027,755],{},[597,4029,4030,4032],{"accent":599},[601,4031,853],{},[605,4033,607],{"stretchy":599},[609,4035,4036],{"encoding":611},"\\overline{A} \\cup \\overline{B}",[578,4038,4040,4086],{"className":4039,"ariaHidden":599},[616],[578,4041,4043,4046,4077,4080,4083],{"className":4042},[620],[578,4044],{"className":4045,"style":625},[624],[578,4047,4049],{"className":4048},[629,630],[578,4050,4052],{"className":4051},[634],[578,4053,4055],{"className":4054},[638],[578,4056,4058,4069],{"className":4057,"style":625},[642],[578,4059,4060,4063],{"style":645},[578,4061],{"className":4062,"style":650},[649],[578,4064,4066],{"className":4065},[629],[578,4067,603],{"className":4068},[629,657],[578,4070,4071,4074],{"style":660},[578,4072],{"className":4073,"style":650},[649],[578,4075],{"className":4076,"style":668},[667],[578,4078],{"className":4079,"style":1008},[1007],[578,4081,755],{"className":4082},[1012],[578,4084],{"className":4085,"style":1008},[1007],[578,4087,4089,4092],{"className":4088},[620],[578,4090],{"className":4091,"style":625},[624],[578,4093,4095],{"className":4094},[629,630],[578,4096,4098],{"className":4097},[634],[578,4099,4101],{"className":4100},[638],[578,4102,4104,4115],{"className":4103,"style":625},[642],[578,4105,4106,4109],{"style":645},[578,4107],{"className":4108,"style":650},[649],[578,4110,4112],{"className":4111},[629],[578,4113,853],{"className":4114,"style":868},[629,657],[578,4116,4117,4120],{"style":660},[578,4118],{"className":4119,"style":650},[649],[578,4121],{"className":4122,"style":668},[667],[578,4124,4126,4152],{"className":4125},[581],[578,4127,4129],{"className":4128},[585],[587,4130,4131],{"xmlns":589},[591,4132,4133,4149],{},[594,4134,4135,4137,4139,4141,4143,4145,4147],{},[2588,4136,3085],{},[605,4138,3088],{},[2588,4140,3100],{},[605,4142,3093],{},[2588,4144,2806],{},[605,4146,954],{},[2588,4148,2815],{},[609,4150,4151],{"encoding":611},"5 + 7 - 3 = 9",[578,4153,4155,4173,4191,4209],{"className":4154,"ariaHidden":599},[616],[578,4156,4158,4161,4164,4167,4170],{"className":4157},[620],[578,4159],{"className":4160,"style":3113},[624],[578,4162,3085],{"className":4163},[629],[578,4165],{"className":4166,"style":1008},[1007],[578,4168,3088],{"className":4169},[1012],[578,4171],{"className":4172,"style":1008},[1007],[578,4174,4176,4179,4182,4185,4188],{"className":4175},[620],[578,4177],{"className":4178,"style":3113},[624],[578,4180,3100],{"className":4181},[629],[578,4183],{"className":4184,"style":1008},[1007],[578,4186,3093],{"className":4187},[1012],[578,4189],{"className":4190,"style":1008},[1007],[578,4192,4194,4197,4200,4203,4206],{"className":4193},[620],[578,4195],{"className":4196,"style":2901},[624],[578,4198,2806],{"className":4199},[629],[578,4201],{"className":4202,"style":1030},[1007],[578,4204,954],{"className":4205},[1034],[578,4207],{"className":4208,"style":1030},[1007],[578,4210,4212,4215],{"className":4211},[620],[578,4213],{"className":4214,"style":2901},[624],[578,4216,2815],{"className":4217},[629]," Elemente, nämlich alle außer der ",[578,4220,4222,4235],{"className":4221},[581],[578,4223,4225],{"className":4224},[585],[587,4226,4227],{"xmlns":589},[591,4228,4229,4233],{},[594,4230,4231],{},[2588,4232,2698],{},[609,4234,2698],{"encoding":611},[578,4236,4238],{"className":4237,"ariaHidden":599},[616],[578,4239,4241,4244],{"className":4240},[620],[578,4242],{"className":4243,"style":2901},[624],[578,4245,2698],{"className":4246},[629],[560,4248,4250],{"id":4249},"typische-fehler","Typische Fehler",[805,4252,4253,4620,4928],{},[808,4254,4255,4258,4259,4446,4447,4475,4476,4590,4591,4619],{},[569,4256,4257],{},"Das Zeichen nicht umdrehen."," ",[578,4260,4262,4302],{"className":4261},[581],[578,4263,4265],{"className":4264},[585],[587,4266,4267],{"xmlns":589},[591,4268,4269,4299],{},[594,4270,4271,4283,4285,4291,4293],{},[597,4272,4273,4281],{"accent":599},[594,4274,4275,4277,4279],{},[601,4276,603],{},[605,4278,755],{},[601,4280,853],{},[605,4282,607],{"stretchy":599},[605,4284,954],{},[597,4286,4287,4289],{"accent":599},[601,4288,603],{},[605,4290,607],{"stretchy":599},[605,4292,755],{},[597,4294,4295,4297],{"accent":599},[601,4296,853],{},[605,4298,607],{"stretchy":599},[609,4300,4301],{"encoding":611},"\\overline{A \\cup B} = \\overline{A} \\cup \\overline{B}",[578,4303,4305,4363,4409],{"className":4304,"ariaHidden":599},[616],[578,4306,4308,4311,4354,4357,4360],{"className":4307},[620],[578,4309],{"className":4310,"style":625},[624],[578,4312,4314],{"className":4313},[629,630],[578,4315,4317],{"className":4316},[634],[578,4318,4320],{"className":4319},[638],[578,4321,4323,4346],{"className":4322,"style":625},[642],[578,4324,4325,4328],{"style":645},[578,4326],{"className":4327,"style":650},[649],[578,4329,4331,4334,4337,4340,4343],{"className":4330},[629],[578,4332,603],{"className":4333},[629,657],[578,4335],{"className":4336,"style":1008},[1007],[578,4338,755],{"className":4339},[1012],[578,4341],{"className":4342,"style":1008},[1007],[578,4344,853],{"className":4345,"style":868},[629,657],[578,4347,4348,4351],{"style":660},[578,4349],{"className":4350,"style":650},[649],[578,4352],{"className":4353,"style":668},[667],[578,4355],{"className":4356,"style":1030},[1007],[578,4358,954],{"className":4359},[1034],[578,4361],{"className":4362,"style":1030},[1007],[578,4364,4366,4369,4400,4403,4406],{"className":4365},[620],[578,4367],{"className":4368,"style":625},[624],[578,4370,4372],{"className":4371},[629,630],[578,4373,4375],{"className":4374},[634],[578,4376,4378],{"className":4377},[638],[578,4379,4381,4392],{"className":4380,"style":625},[642],[578,4382,4383,4386],{"style":645},[578,4384],{"className":4385,"style":650},[649],[578,4387,4389],{"className":4388},[629],[578,4390,603],{"className":4391},[629,657],[578,4393,4394,4397],{"style":660},[578,4395],{"className":4396,"style":650},[649],[578,4398],{"className":4399,"style":668},[667],[578,4401],{"className":4402,"style":1008},[1007],[578,4404,755],{"className":4405},[1012],[578,4407],{"className":4408,"style":1008},[1007],[578,4410,4412,4415],{"className":4411},[620],[578,4413],{"className":4414,"style":625},[624],[578,4416,4418],{"className":4417},[629,630],[578,4419,4421],{"className":4420},[634],[578,4422,4424],{"className":4423},[638],[578,4425,4427,4438],{"className":4426,"style":625},[642],[578,4428,4429,4432],{"style":645},[578,4430],{"className":4431,"style":650},[649],[578,4433,4435],{"className":4434},[629],[578,4436,853],{"className":4437,"style":868},[629,657],[578,4439,4440,4443],{"style":660},[578,4441],{"className":4442,"style":650},[649],[578,4444],{"className":4445,"style":668},[667]," ist falsch. Im Beispiel wäre die ",[578,4448,4450,4463],{"className":4449},[581],[578,4451,4453],{"className":4452},[585],[587,4454,4455],{"xmlns":589},[591,4456,4457,4461],{},[594,4458,4459],{},[2588,4460,2806],{},[609,4462,2806],{"encoding":611},[578,4464,4466],{"className":4465,"ariaHidden":599},[616],[578,4467,4469,4472],{"className":4468},[620],[578,4470],{"className":4471,"style":2901},[624],[578,4473,2806],{"className":4474},[629]," in ",[578,4477,4479,4504],{"className":4478},[581],[578,4480,4482],{"className":4481},[585],[587,4483,4484],{"xmlns":589},[591,4485,4486,4502],{},[594,4487,4488,4494,4496],{},[597,4489,4490,4492],{"accent":599},[601,4491,603],{},[605,4493,607],{"stretchy":599},[605,4495,755],{},[597,4497,4498,4500],{"accent":599},[601,4499,853],{},[605,4501,607],{"stretchy":599},[609,4503,4036],{"encoding":611},[578,4505,4507,4553],{"className":4506,"ariaHidden":599},[616],[578,4508,4510,4513,4544,4547,4550],{"className":4509},[620],[578,4511],{"className":4512,"style":625},[624],[578,4514,4516],{"className":4515},[629,630],[578,4517,4519],{"className":4518},[634],[578,4520,4522],{"className":4521},[638],[578,4523,4525,4536],{"className":4524,"style":625},[642],[578,4526,4527,4530],{"style":645},[578,4528],{"className":4529,"style":650},[649],[578,4531,4533],{"className":4532},[629],[578,4534,603],{"className":4535},[629,657],[578,4537,4538,4541],{"style":660},[578,4539],{"className":4540,"style":650},[649],[578,4542],{"className":4543,"style":668},[667],[578,4545],{"className":4546,"style":1008},[1007],[578,4548,755],{"className":4549},[1012],[578,4551],{"className":4552,"style":1008},[1007],[578,4554,4556,4559],{"className":4555},[620],[578,4557],{"className":4558,"style":625},[624],[578,4560,4562],{"className":4561},[629,630],[578,4563,4565],{"className":4564},[634],[578,4566,4568],{"className":4567},[638],[578,4569,4571,4582],{"className":4570,"style":625},[642],[578,4572,4573,4576],{"style":645},[578,4574],{"className":4575,"style":650},[649],[578,4577,4579],{"className":4578},[629],[578,4580,853],{"className":4581,"style":868},[629,657],[578,4583,4584,4587],{"style":660},[578,4585],{"className":4586,"style":650},[649],[578,4588],{"className":4589,"style":668},[667],", obwohl sie in ",[578,4592,4594,4607],{"className":4593},[581],[578,4595,4597],{"className":4596},[585],[587,4598,4599],{"xmlns":589},[591,4600,4601,4605],{},[594,4602,4603],{},[601,4604,853],{},[609,4606,853],{"encoding":611},[578,4608,4610],{"className":4609,"ariaHidden":599},[616],[578,4611,4613,4616],{"className":4612},[620],[578,4614],{"className":4615,"style":702},[624],[578,4617,853],{"className":4618,"style":868},[629,657]," liegt.",[808,4621,4622,4258,4625,4685,4686,4715,4716,4790,4791,4859,4860,1121],{},[569,4623,4624],{},"Komplement ohne Grundmenge.",[578,4626,4628,4645],{"className":4627},[581],[578,4629,4631],{"className":4630},[585],[587,4632,4633],{"xmlns":589},[591,4634,4635,4643],{},[594,4636,4637],{},[597,4638,4639,4641],{"accent":599},[601,4640,603],{},[605,4642,607],{"stretchy":599},[609,4644,612],{"encoding":611},[578,4646,4648],{"className":4647,"ariaHidden":599},[616],[578,4649,4651,4654],{"className":4650},[620],[578,4652],{"className":4653,"style":625},[624],[578,4655,4657],{"className":4656},[629,630],[578,4658,4660],{"className":4659},[634],[578,4661,4663],{"className":4662},[638],[578,4664,4666,4677],{"className":4665,"style":625},[642],[578,4667,4668,4671],{"style":645},[578,4669],{"className":4670,"style":650},[649],[578,4672,4674],{"className":4673},[629],[578,4675,603],{"className":4676},[629,657],[578,4678,4679,4682],{"style":660},[578,4680],{"className":4681,"style":650},[649],[578,4683],{"className":4684,"style":668},[667]," hängt von ",[578,4687,4689,4703],{"className":4688},[581],[578,4690,4692],{"className":4691},[585],[587,4693,4694],{"xmlns":589},[591,4695,4696,4700],{},[594,4697,4698],{},[601,4699,2581],{"mathvariant":1491},[609,4701,4702],{"encoding":611},"\\Omega",[578,4704,4706],{"className":4705,"ariaHidden":599},[616],[578,4707,4709,4712],{"className":4708},[620],[578,4710],{"className":4711,"style":702},[624],[578,4713,2581],{"className":4714},[629]," ab. Für ",[578,4717,4719,4745],{"className":4718},[581],[578,4720,4722],{"className":4721},[585],[587,4723,4724],{"xmlns":589},[591,4725,4726,4742],{},[594,4727,4728,4730,4732,4734,4736,4738,4740],{},[601,4729,603],{},[605,4731,954],{},[605,4733,2586],{"stretchy":1495},[2588,4735,2688],{},[605,4737,2593],{"separator":599},[2588,4739,2693],{},[605,4741,2604],{"stretchy":1495},[609,4743,4744],{"encoding":611},"A = \\{2, 4\\}",[578,4746,4748,4766],{"className":4747,"ariaHidden":599},[616],[578,4749,4751,4754,4757,4760,4763],{"className":4750},[620],[578,4752],{"className":4753,"style":702},[624],[578,4755,603],{"className":4756},[629,657],[578,4758],{"className":4759,"style":1030},[1007],[578,4761,954],{"className":4762},[1034],[578,4764],{"className":4765,"style":1030},[1007],[578,4767,4769,4772,4775,4778,4781,4784,4787],{"className":4768},[620],[578,4770],{"className":4771,"style":1527},[624],[578,4773,2586],{"className":4774},[1534],[578,4776,2688],{"className":4777},[629],[578,4779,2593],{"className":4780},[2644],[578,4782],{"className":4783,"style":2047},[1007],[578,4785,2693],{"className":4786},[629],[578,4788,2604],{"className":4789},[1595]," ist das Komplement in ",[578,4792,4794,4820],{"className":4793},[581],[578,4795,4797],{"className":4796},[585],[587,4798,4799],{"xmlns":589},[591,4800,4801,4817],{},[594,4802,4803,4805,4807,4809,4811,4813,4815],{},[605,4804,2586],{"stretchy":1495},[2588,4806,2590],{},[605,4808,2593],{"separator":599},[605,4810,2596],{},[605,4812,2593],{"separator":599},[2588,4814,3085],{},[605,4816,2604],{"stretchy":1495},[609,4818,4819],{"encoding":611},"\\{1, \\ldots, 5\\}",[578,4821,4823],{"className":4822,"ariaHidden":599},[616],[578,4824,4826,4829,4832,4835,4838,4841,4844,4847,4850,4853,4856],{"className":4825},[620],[578,4827],{"className":4828,"style":1527},[624],[578,4830,2586],{"className":4831},[1534],[578,4833,2590],{"className":4834},[629],[578,4836,2593],{"className":4837},[2644],[578,4839],{"className":4840,"style":2047},[1007],[578,4842,2596],{"className":4843},[2651],[578,4845],{"className":4846,"style":2047},[1007],[578,4848,2593],{"className":4849},[2644],[578,4851],{"className":4852,"style":2047},[1007],[578,4854,3085],{"className":4855},[629],[578,4857,2604],{"className":4858},[1595]," eine andere Menge als in ",[578,4861,4863,4889],{"className":4862},[581],[578,4864,4866],{"className":4865},[585],[587,4867,4868],{"xmlns":589},[591,4869,4870,4886],{},[594,4871,4872,4874,4876,4878,4880,4882,4884],{},[605,4873,2586],{"stretchy":1495},[2588,4875,2590],{},[605,4877,2593],{"separator":599},[605,4879,2596],{},[605,4881,2593],{"separator":599},[2588,4883,2601],{},[605,4885,2604],{"stretchy":1495},[609,4887,4888],{"encoding":611},"\\{1, \\ldots, 10\\}",[578,4890,4892],{"className":4891,"ariaHidden":599},[616],[578,4893,4895,4898,4901,4904,4907,4910,4913,4916,4919,4922,4925],{"className":4894},[620],[578,4896],{"className":4897,"style":1527},[624],[578,4899,2586],{"className":4900},[1534],[578,4902,2590],{"className":4903},[629],[578,4905,2593],{"className":4906},[2644],[578,4908],{"className":4909,"style":2047},[1007],[578,4911,2596],{"className":4912},[2651],[578,4914],{"className":4915,"style":2047},[1007],[578,4917,2593],{"className":4918},[2644],[578,4920],{"className":4921,"style":2047},[1007],[578,4923,2601],{"className":4924},[629],[578,4926,2604],{"className":4927},[1595],[808,4929,4930,4933,4934,5047,5048,5271,5272,1121],{},[569,4931,4932],{},"Doppelte Komplemente übersehen."," Aus ",[578,4935,4937,4965],{"className":4936},[581],[578,4938,4940],{"className":4939},[585],[587,4941,4942],{"xmlns":589},[591,4943,4944,4962],{},[594,4945,4946],{},[597,4947,4948,4960],{"accent":599},[594,4949,4950,4952,4954],{},[601,4951,603],{},[605,4953,787],{},[597,4955,4956,4958],{"accent":599},[601,4957,853],{},[605,4959,607],{"stretchy":599},[605,4961,607],{"stretchy":599},[609,4963,4964],{"encoding":611},"\\overline{A \\cap \\overline{B}}",[578,4966,4968],{"className":4967,"ariaHidden":599},[616],[578,4969,4971,4975],{"className":4970},[620],[578,4972],{"className":4973,"style":4974},[624],"height:1.0833em;",[578,4976,4978],{"className":4977},[629,630],[578,4979,4981],{"className":4980},[634],[578,4982,4984],{"className":4983},[638],[578,4985,4987,5038],{"className":4986,"style":4974},[642],[578,4988,4989,4992],{"style":645},[578,4990],{"className":4991,"style":650},[649],[578,4993,4995,4998,5001,5004,5007],{"className":4994},[629],[578,4996,603],{"className":4997},[629,657],[578,4999],{"className":5000,"style":1008},[1007],[578,5002,787],{"className":5003},[1012],[578,5005],{"className":5006,"style":1008},[1007],[578,5008,5010],{"className":5009},[629,630],[578,5011,5013],{"className":5012},[634],[578,5014,5016],{"className":5015},[638],[578,5017,5019,5030],{"className":5018,"style":625},[642],[578,5020,5021,5024],{"style":645},[578,5022],{"className":5023,"style":650},[649],[578,5025,5027],{"className":5026},[629],[578,5028,853],{"className":5029,"style":868},[629,657],[578,5031,5032,5035],{"style":660},[578,5033],{"className":5034,"style":650},[649],[578,5036],{"className":5037,"style":668},[667],[578,5039,5041,5044],{"style":5040},"top:-4.0033em;",[578,5042],{"className":5043,"style":650},[649],[578,5045],{"className":5046,"style":668},[667]," wird ",[578,5049,5051,5093],{"className":5050},[581],[578,5052,5054],{"className":5053},[585],[587,5055,5056],{"xmlns":589},[591,5057,5058,5090],{},[594,5059,5060,5066,5068,5078,5080,5086,5088],{},[597,5061,5062,5064],{"accent":599},[601,5063,603],{},[605,5065,607],{"stretchy":599},[605,5067,755],{},[597,5069,5070,5076],{"accent":599},[597,5071,5072,5074],{"accent":599},[601,5073,853],{},[605,5075,607],{"stretchy":599},[605,5077,607],{"stretchy":599},[605,5079,954],{},[597,5081,5082,5084],{"accent":599},[601,5083,603],{},[605,5085,607],{"stretchy":599},[605,5087,755],{},[601,5089,853],{},[609,5091,5092],{"encoding":611},"\\overline{A} \\cup \\overline{\\overline{B}} = \\overline{A} \\cup B",[578,5094,5096,5142,5216,5262],{"className":5095,"ariaHidden":599},[616],[578,5097,5099,5102,5133,5136,5139],{"className":5098},[620],[578,5100],{"className":5101,"style":625},[624],[578,5103,5105],{"className":5104},[629,630],[578,5106,5108],{"className":5107},[634],[578,5109,5111],{"className":5110},[638],[578,5112,5114,5125],{"className":5113,"style":625},[642],[578,5115,5116,5119],{"style":645},[578,5117],{"className":5118,"style":650},[649],[578,5120,5122],{"className":5121},[629],[578,5123,603],{"className":5124},[629,657],[578,5126,5127,5130],{"style":660},[578,5128],{"className":5129,"style":650},[649],[578,5131],{"className":5132,"style":668},[667],[578,5134],{"className":5135,"style":1008},[1007],[578,5137,755],{"className":5138},[1012],[578,5140],{"className":5141,"style":1008},[1007],[578,5143,5145,5148,5207,5210,5213],{"className":5144},[620],[578,5146],{"className":5147,"style":4974},[624],[578,5149,5151],{"className":5150},[629,630],[578,5152,5154],{"className":5153},[634],[578,5155,5157],{"className":5156},[638],[578,5158,5160,5199],{"className":5159,"style":4974},[642],[578,5161,5162,5165],{"style":645},[578,5163],{"className":5164,"style":650},[649],[578,5166,5168],{"className":5167},[629],[578,5169,5171],{"className":5170},[629,630],[578,5172,5174],{"className":5173},[634],[578,5175,5177],{"className":5176},[638],[578,5178,5180,5191],{"className":5179,"style":625},[642],[578,5181,5182,5185],{"style":645},[578,5183],{"className":5184,"style":650},[649],[578,5186,5188],{"className":5187},[629],[578,5189,853],{"className":5190,"style":868},[629,657],[578,5192,5193,5196],{"style":660},[578,5194],{"className":5195,"style":650},[649],[578,5197],{"className":5198,"style":668},[667],[578,5200,5201,5204],{"style":5040},[578,5202],{"className":5203,"style":650},[649],[578,5205],{"className":5206,"style":668},[667],[578,5208],{"className":5209,"style":1030},[1007],[578,5211,954],{"className":5212},[1034],[578,5214],{"className":5215,"style":1030},[1007],[578,5217,5219,5222,5253,5256,5259],{"className":5218},[620],[578,5220],{"className":5221,"style":625},[624],[578,5223,5225],{"className":5224},[629,630],[578,5226,5228],{"className":5227},[634],[578,5229,5231],{"className":5230},[638],[578,5232,5234,5245],{"className":5233,"style":625},[642],[578,5235,5236,5239],{"style":645},[578,5237],{"className":5238,"style":650},[649],[578,5240,5242],{"className":5241},[629],[578,5243,603],{"className":5244},[629,657],[578,5246,5247,5250],{"style":660},[578,5248],{"className":5249,"style":650},[649],[578,5251],{"className":5252,"style":668},[667],[578,5254],{"className":5255,"style":1008},[1007],[578,5257,755],{"className":5258},[1012],[578,5260],{"className":5261,"style":1008},[1007],[578,5263,5265,5268],{"className":5264},[620],[578,5266],{"className":5267,"style":702},[624],[578,5269,853],{"className":5270,"style":868},[629,657],", nicht ",[578,5273,5275,5300],{"className":5274},[581],[578,5276,5278],{"className":5277},[585],[587,5279,5280],{"xmlns":589},[591,5281,5282,5298],{},[594,5283,5284,5290,5292],{},[597,5285,5286,5288],{"accent":599},[601,5287,603],{},[605,5289,607],{"stretchy":599},[605,5291,755],{},[597,5293,5294,5296],{"accent":599},[601,5295,853],{},[605,5297,607],{"stretchy":599},[609,5299,4036],{"encoding":611},[578,5301,5303,5349],{"className":5302,"ariaHidden":599},[616],[578,5304,5306,5309,5340,5343,5346],{"className":5305},[620],[578,5307],{"className":5308,"style":625},[624],[578,5310,5312],{"className":5311},[629,630],[578,5313,5315],{"className":5314},[634],[578,5316,5318],{"className":5317},[638],[578,5319,5321,5332],{"className":5320,"style":625},[642],[578,5322,5323,5326],{"style":645},[578,5324],{"className":5325,"style":650},[649],[578,5327,5329],{"className":5328},[629],[578,5330,603],{"className":5331},[629,657],[578,5333,5334,5337],{"style":660},[578,5335],{"className":5336,"style":650},[649],[578,5338],{"className":5339,"style":668},[667],[578,5341],{"className":5342,"style":1008},[1007],[578,5344,755],{"className":5345},[1012],[578,5347],{"className":5348,"style":1008},[1007],[578,5350,5352,5355],{"className":5351},[620],[578,5353],{"className":5354,"style":625},[624],[578,5356,5358],{"className":5357},[629,630],[578,5359,5361],{"className":5360},[634],[578,5362,5364],{"className":5363},[638],[578,5365,5367,5378],{"className":5366,"style":625},[642],[578,5368,5369,5372],{"style":645},[578,5370],{"className":5371,"style":650},[649],[578,5373,5375],{"className":5374},[629],[578,5376,853],{"className":5377,"style":868},[629,657],[578,5379,5380,5383],{"style":660},[578,5381],{"className":5382,"style":650},[649],[578,5384],{"className":5385,"style":668},[667],{"title":5387,"searchDepth":5388,"depth":5388,"links":5389},"",2,[5390,5391,5392],{"id":562,"depth":5388,"text":563},{"id":2562,"depth":5388,"text":2563},{"id":4249,"depth":5388,"text":4250},[5394,5397,5400,5402,5404,5406],{"lhs":5395,"rhs":5396},"1 - (a + b - a*b)","(1 - a)*(1 - b)",{"lhs":5398,"rhs":5399},"1 - a*b","(1 - a) + (1 - b) - (1 - a)*(1 - b)",{"lhs":5401,"rhs":3100},"5 + 3 - 1",{"lhs":5403,"rhs":2806},"10 - 7",{"lhs":5405,"rhs":2815},"5 + 7 - 3",{"lhs":5407,"rhs":2815},"10 - 1","A, B \\subseteq \\Omega,\\ \\overline{A} = \\Omega \\setminus A","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo>⊆\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">Ω\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A, B \\subseteq \\Omega,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">⊆\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">Ω\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">Ω\u003C\u002Fmi>\u003Cmo>∖\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\overline{A} = \\Omega \\setminus A\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">Ω\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">∖\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","de-morgan-sets","\\overline{A \\cup B} = \\overline{A} \\cap \\overline{B}, \\qquad \\overline{A \\cap B} = \\overline{A} \\cup \\overline{B}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo>∪\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>∩\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmover accent=\"true\">\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo>∩\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>∪\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\overline{A \\cup B} = \\overline{A} \\cap \\overline{B}, \\qquad \\overline{A \\cap B} = \\overline{A} \\cup \\overline{B}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">∪\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">∩\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:2em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">∩\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">∪\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-overline\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8833em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" 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