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\\quad \\emptyset \\in 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\\quad A \\in \\mathcal{A} \\implies S \\setminus A \\in 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\\quad A_n \\in \\mathcal{A} \\ (n=1,2,\\dots) \\implies \\bigcup_{n \\geq 1} A_n \\in 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(2) と",[86,1114,1116],{"className":1115},[415],[86,1117,1119,1191],{"className":1118},[89],[86,1120,1122],{"className":1121},[93],[95,1123,1124],{"xmlns":97,"display":424},[99,1125,1126,1188],{},[428,1127,1128],{"width":430},[432,1129,1130,1132,1181,1183],{},[435,1131],{"width":437},[435,1133,1134],{},[102,1135,1136,1138,1144,1146,1152,1154,1156,1158,1160,1162,1168,1171,1177,1179],{},[326,1137],{"width":444},[730,1139,1140,1142],{},[105,1141,189],{},[301,1143,522],{},[147,1145,756],{"separator":117},[730,1147,1148,1150],{},[105,1149,189],{},[301,1151,303],{},[147,1153,451],{},[105,1155,189],{"mathvariant":188},[459,1157,560],{},[147,1159,563],{},[459,1161,560],{},[730,1163,1164,1166],{},[105,1165,189],{},[301,1167,522],{},[147,1169,1170],{},"∪",[730,1172,1173,1175],{},[105,1174,189],{},[301,1176,303],{},[147,1178,451],{},[105,1180,189],{"mathvariant":188},[435,1182],{"width":437},[435,1184,1185],{},[459,1186,1187],{},"(4)",[109,1189,1190],{"encoding":111},"\\tag{4} \\quad A_1, A_2 \\in \\mathcal{A} \\implies A_1 \\cup A_2 \\in \\mathcal{A}",[86,1192,1194,1300,1324,1379,1434,1443],{"className":1193,"ariaHidden":117},[116],[86,1195,1197,1201,1204,1245,1248,1251,1291,1294,1297],{"className":1196},[121],[86,1198],{"className":1199,"style":1200},[125],"height:0.8778em;vertical-align:-0.1944em;",[86,1202],{"className":1203,"style":478},[326],[86,1205,1207,1210],{"className":1206},[130],[86,1208,189],{"className":1209},[130,131],[86,1211,1213],{"className":1212},[350],[86,1214,1216,1237],{"className":1215},[354,835],[86,1217,1219,1234],{"className":1218},[358],[86,1220,1223],{"className":1221,"style":1222},[362],"height:0.3011em;",[86,1224,1225,1228],{"style":845},[86,1226],{"className":1227,"style":370},[369],[86,1229,1231],{"className":1230},[374,375,376,377],[86,1232,522],{"className":1233},[130,377],[86,1235,859],{"className":1236},[858],[86,1238,1240],{"className":1239},[358],[86,1241,1243],{"className":1242,"style":866},[362],[86,1244],{},[86,1246,756],{"className":1247},[918],[86,1249],{"className":1250,"style":922},[326],[86,1252,1254,1257],{"className":1253},[130],[86,1255,189],{"className":1256},[130,131],[86,1258,1260],{"className":1259},[350],[86,1261,1263,1283],{"className":1262},[354,835],[86,1264,1266,1280],{"className":1265},[358],[86,1267,1269],{"className":1268,"style":1222},[362],[86,1270,1271,1274],{"style":845},[86,1272],{"className":1273,"style":370},[369],[86,1275,1277],{"className":1276},[374,375,376,377],[86,1278,303],{"className":1279},[130,377],[86,1281,859],{"className":1282},[858],[86,1284,1286],{"className":1285},[358],[86,1287,1289],{"className":1288,"style":866},[362],[86,1290],{},[86,1292],{"className":1293,"style":327},[326],[86,1295,451],{"className":1296},[166],[86,1298],{"className":1299,"style":327},[326],[86,1301,1303,1306,1309,1312,1315,1318,1321],{"className":1302},[121],[86,1304],{"className":1305,"style":617},[125],[86,1307,189],{"className":1308},[130,206],[86,1310],{"className":1311,"style":327},[326],[86,1313],{"className":1314,"style":327},[326],[86,1316,563],{"className":1317},[166],[86,1319],{"className":1320,"style":327},[326],[86,1322],{"className":1323,"style":327},[326],[86,1325,1327,1330,1370,1373,1376],{"className":1326},[121],[86,1328],{"className":1329,"style":819},[125],[86,1331,1333,1336],{"className":1332},[130],[86,1334,189],{"className":1335},[130,131],[86,1337,1339],{"className":1338},[350],[86,1340,1342,1362],{"className":1341},[354,835],[86,1343,1345,1359],{"className":1344},[358],[86,1346,1348],{"className":1347,"style":1222},[362],[86,1349,1350,1353],{"style":845},[86,1351],{"className":1352,"style":370},[369],[86,1354,1356],{"className":1355},[374,375,376,377],[86,1357,522],{"className":1358},[130,377],[86,1360,859],{"className":1361},[858],[86,1363,1365],{"className":1364},[358],[86,1366,1368],{"className":1367,"style":866},[362],[86,1369],{},[86,1371],{"className":1372,"style":648},[326],[86,1374,1170],{"className":1375},[652],[86,1377],{"className":1378,"style":648},[326],[86,1380,1382,1385,1425,1428,1431],{"className":1381},[121],[86,1383],{"className":1384,"style":819},[125],[86,1386,1388,1391],{"className":1387},[130],[86,1389,189],{"className":1390},[130,131],[86,1392,1394],{"className":1393},[350],[86,1395,1397,1417],{"className":1396},[354,835],[86,1398,1400,1414],{"className":1399},[358],[86,1401,1403],{"className":1402,"style":1222},[362],[86,1404,1405,1408],{"style":845},[86,1406],{"className":1407,"style":370},[369],[86,1409,1411],{"className":1410},[374,375,376,377],[86,1412,303],{"className":1413},[130,377],[86,1415,859],{"className":1416},[858],[86,1418,1420],{"className":1419},[358],[86,1421,1423],{"className":1422,"style":866},[362],[86,1424],{},[86,1426],{"className":1427,"style":327},[326],[86,1429,451],{"className":1430},[166],[86,1432],{"className":1433,"style":327},[326],[86,1435,1437,1440],{"className":1436},[121],[86,1438],{"className":1439,"style":202},[125],[86,1441,189],{"className":1442},[130,206],[86,1444,1446,1449],{"className":1445},[503],[86,1447],{"className":1448,"style":507},[125],[86,1450,1452,1455,1462],{"className":1451},[130,511],[86,1453,515],{"className":1454},[130],[86,1456,1458],{"className":1457},[130],[86,1459,1461],{"className":1460},[130],"4",[86,1463,526],{"className":1464},[130],[75,1466,1467],{},"を満たすことである。",[75,1469,1470,1498,1499,1623,1624,1757,1758,1786,1787,1949],{},[86,1471,1473,1486],{"className":1472},[89],[86,1474,1476],{"className":1475},[93],[95,1477,1478],{"xmlns":97},[99,1479,1480,1484],{},[102,1481,1482],{},[105,1483,189],{"mathvariant":188},[109,1485,192],{"encoding":111},[86,1487,1489],{"className":1488,"ariaHidden":117},[116],[86,1490,1492,1495],{"className":1491},[121],[86,1493],{"className":1494,"style":202},[125],[86,1496,189],{"className":1497},[130,206]," から2つの集合 ",[86,1500,1502,1528],{"className":1501},[89],[86,1503,1505],{"className":1504},[93],[95,1506,1507],{"xmlns":97},[99,1508,1509,1525],{},[102,1510,1511,1517,1519],{},[730,1512,1513,1515],{},[105,1514,189],{},[301,1516,522],{},[147,1518,756],{"separator":117},[730,1520,1521,1523],{},[105,1522,189],{},[301,1524,303],{},[109,1526,1527],{"encoding":111},"A_1, A_2",[86,1529,1531],{"className":1530,"ariaHidden":117},[116],[86,1532,1534,1537,1577,1580,1583],{"className":1533},[121],[86,1535],{"className":1536,"style":1200},[125],[86,1538,1540,1543],{"className":1539},[130],[86,1541,189],{"className":1542},[130,131],[86,1544,1546],{"className":1545},[350],[86,1547,1549,1569],{"className":1548},[354,835],[86,1550,1552,1566],{"className":1551},[358],[86,1553,1555],{"className":1554,"style":1222},[362],[86,1556,1557,1560],{"style":845},[86,1558],{"className":1559,"style":370},[369],[86,1561,1563],{"className":1562},[374,375,376,377],[86,1564,522],{"className":1565},[130,377],[86,1567,859],{"className":1568},[858],[86,1570,1572],{"className":1571},[358],[86,1573,1575],{"className":1574,"style":866},[362],[86,1576],{},[86,1578,756],{"className":1579},[918],[86,1581],{"className":1582,"style":922},[326],[86,1584,1586,1589],{"className":1585},[130],[86,1587,189],{"className":1588},[130,131],[86,1590,1592],{"className":1591},[350],[86,1593,1595,1615],{"className":1594},[354,835],[86,1596,1598,1612],{"className":1597},[358],[86,1599,1601],{"className":1600,"style":1222},[362],[86,1602,1603,1606],{"style":845},[86,1604],{"className":1605,"style":370},[369],[86,1607,1609],{"className":1608},[374,375,376,377],[86,1610,303],{"className":1611},[130,377],[86,1613,859],{"className":1614},[858],[86,1616,1618],{"className":1617},[358],[86,1619,1621],{"className":1620,"style":866},[362],[86,1622],{}," を選び、その2つの和集合 ",[86,1625,1627,1653],{"className":1626},[89],[86,1628,1630],{"className":1629},[93],[95,1631,1632],{"xmlns":97},[99,1633,1634,1650],{},[102,1635,1636,1642,1644],{},[730,1637,1638,1640],{},[105,1639,189],{},[301,1641,522],{},[147,1643,1170],{},[730,1645,1646,1648],{},[105,1647,189],{},[301,1649,303],{},[109,1651,1652],{"encoding":111},"A_1 \\cup A_2",[86,1654,1656,1711],{"className":1655,"ariaHidden":117},[116],[86,1657,1659,1662,1702,1705,1708],{"className":1658},[121],[86,1660],{"className":1661,"style":819},[125],[86,1663,1665,1668],{"className":1664},[130],[86,1666,189],{"className":1667},[130,131],[86,1669,1671],{"className":1670},[350],[86,1672,1674,1694],{"className":1673},[354,835],[86,1675,1677,1691],{"className":1676},[358],[86,1678,1680],{"className":1679,"style":1222},[362],[86,1681,1682,1685],{"style":845},[86,1683],{"className":1684,"style":370},[369],[86,1686,1688],{"className":1687},[374,375,376,377],[86,1689,522],{"className":1690},[130,377],[86,1692,859],{"className":1693},[858],[86,1695,1697],{"className":1696},[358],[86,1698,1700],{"className":1699,"style":866},[362],[86,1701],{},[86,1703],{"className":1704,"style":648},[326],[86,1706,1170],{"className":1707},[652],[86,1709],{"className":1710,"style":648},[326],[86,1712,1714,1717],{"className":1713},[121],[86,1715],{"className":1716,"style":819},[125],[86,1718,1720,1723],{"className":1719},[130],[86,1721,189],{"className":1722},[130,131],[86,1724,1726],{"className":1725},[350],[86,1727,1729,1749],{"className":1728},[354,835],[86,1730,1732,1746],{"className":1731},[358],[86,1733,1735],{"className":1734,"style":1222},[362],[86,1736,1737,1740],{"style":845},[86,1738],{"className":1739,"style":370},[369],[86,1741,1743],{"className":1742},[374,375,376,377],[86,1744,303],{"className":1745},[130,377],[86,1747,859],{"className":1748},[858],[86,1750,1752],{"className":1751},[358],[86,1753,1755],{"className":1754,"style":866},[362],[86,1756],{}," が再び ",[86,1759,1761,1774],{"className":1760},[89],[86,1762,1764],{"className":1763},[93],[95,1765,1766],{"xmlns":97},[99,1767,1768,1772],{},[102,1769,1770],{},[105,1771,189],{"mathvariant":188},[109,1773,192],{"encoding":111},[86,1775,1777],{"className":1776,"ariaHidden":117},[116],[86,1778,1780,1783],{"className":1779},[121],[86,1781],{"className":1782,"style":202},[125],[86,1784,189],{"className":1785},[130,206]," に属することを示す。まず、次のような無限個の集合列 ",[86,1788,1790,1829],{"className":1789},[89],[86,1791,1793],{"className":1792},[93],[95,1794,1795],{"xmlns":97},[99,1796,1797,1826],{},[102,1798,1799,1802,1809],{},[147,1800,1801],{"stretchy":746},"{",[730,1803,1804,1807],{},[105,1805,1806],{},"B",[105,1808,736],{},[1810,1811,1812,1815,1823],"msubsup",{},[147,1813,1814],{"stretchy":746},"}",[102,1816,1817,1819,1821],{},[105,1818,736],{},[147,1820,751],{},[301,1822,522],{},[105,1824,1825],{"mathvariant":447},"∞",[109,1827,1828],{"encoding":111},"\\{B_n\\}_{n=1}^{\\infty}",[86,1830,1832],{"className":1831,"ariaHidden":117},[116],[86,1833,1835,1838,1841,1883],{"className":1834},[121],[86,1836],{"className":1837,"style":507},[125],[86,1839,1801],{"className":1840},[893],[86,1842,1844,1848],{"className":1843},[130],[86,1845,1806],{"className":1846,"style":1847},[130,131],"margin-right:0.0502em;",[86,1849,1851],{"className":1850},[350],[86,1852,1854,1875],{"className":1853},[354,835],[86,1855,1857,1872],{"className":1856},[358],[86,1858,1860],{"className":1859,"style":842},[362],[86,1861,1863,1866],{"style":1862},"top:-2.55em;margin-left:-0.0502em;margin-right:0.05em;",[86,1864],{"className":1865,"style":370},[369],[86,1867,1869],{"className":1868},[374,375,376,377],[86,1870,736],{"className":1871},[130,131,377],[86,1873,859],{"className":1874},[858],[86,1876,1878],{"className":1877},[358],[86,1879,1881],{"className":1880,"style":866},[362],[86,1882],{},[86,1884,1886,1889],{"className":1885},[942],[86,1887,1814],{"className":1888},[942],[86,1890,1892],{"className":1891},[350],[86,1893,1895,1940],{"className":1894},[354,835],[86,1896,1898,1937],{"className":1897},[358],[86,1899,1902,1923],{"className":1900,"style":1901},[362],"height:0.6644em;",[86,1903,1905,1908],{"style":1904},"top:-2.4519em;margin-left:0em;margin-right:0.05em;",[86,1906],{"className":1907,"style":370},[369],[86,1909,1911],{"className":1910},[374,375,376,377],[86,1912,1914,1917,1920],{"className":1913},[130,377],[86,1915,736],{"className":1916},[130,131,377],[86,1918,751],{"className":1919},[166,377],[86,1921,522],{"className":1922},[130,377],[86,1924,1925,1928],{"style":365},[86,1926],{"className":1927,"style":370},[369],[86,1929,1931],{"className":1930},[374,375,376,377],[86,1932,1934],{"className":1933},[130,377],[86,1935,1825],{"className":1936},[130,377],[86,1938,859],{"className":1939},[858],[86,1941,1943],{"className":1942},[358],[86,1944,1947],{"className":1945,"style":1946},[362],"height:0.2481em;",[86,1948],{}," を考える：",[1951,1952,1953,2089,2224,2318,2412],"ul",{},[1954,1955,1956],"li",{},[86,1957,1959,1985],{"className":1958},[89],[86,1960,1962],{"className":1961},[93],[95,1963,1964],{"xmlns":97},[99,1965,1966,1982],{},[102,1967,1968,1974,1976],{},[730,1969,1970,1972],{},[105,1971,1806],{},[301,1973,522],{},[147,1975,751],{},[730,1977,1978,1980],{},[105,1979,189],{},[301,1981,522],{},[109,1983,1984],{"encoding":111},"B_1 = A_1",[86,1986,1988,2043],{"className":1987,"ariaHidden":117},[116],[86,1989,1991,1994,2034,2037,2040],{"className":1990},[121],[86,1992],{"className":1993,"style":819},[125],[86,1995,1997,2000],{"className":1996},[130],[86,1998,1806],{"className":1999,"style":1847},[130,131],[86,2001,2003],{"className":2002},[350],[86,2004,2006,2026],{"className":2005},[354,835],[86,2007,2009,2023],{"className":2008},[358],[86,2010,2012],{"className":2011,"style":1222},[362],[86,2013,2014,2017],{"style":1862},[86,2015],{"className":2016,"style":370},[369],[86,2018,2020],{"className":2019},[374,375,376,377],[86,2021,522],{"className":2022},[130,377],[86,2024,859],{"className":2025},[858],[86,2027,2029],{"className":2028},[358],[86,2030,2032],{"className":2031,"style":866},[362],[86,2033],{},[86,2035],{"className":2036,"style":327},[326],[86,2038,751],{"className":2039},[166],[86,2041],{"className":2042,"style":327},[326],[86,2044,2046,2049],{"className":2045},[121],[86,2047],{"className":2048,"style":819},[125],[86,2050,2052,2055],{"className":2051},[130],[86,2053,189],{"className":2054},[130,131],[86,2056,2058],{"className":2057},[350],[86,2059,2061,2081],{"className":2060},[354,835],[86,2062,2064,2078],{"className":2063},[358],[86,2065,2067],{"className":2066,"style":1222},[362],[86,2068,2069,2072],{"style":845},[86,2070],{"className":2071,"style":370},[369],[86,2073,2075],{"className":2074},[374,375,376,377],[86,2076,522],{"className":2077},[130,377],[86,2079,859],{"className":2080},[858],[86,2082,2084],{"className":2083},[358],[86,2085,2087],{"className":2086,"style":866},[362],[86,2088],{},[1954,2090,2091],{},[86,2092,2094,2120],{"className":2093},[89],[86,2095,2097],{"className":2096},[93],[95,2098,2099],{"xmlns":97},[99,2100,2101,2117],{},[102,2102,2103,2109,2111],{},[730,2104,2105,2107],{},[105,2106,1806],{},[301,2108,303],{},[147,2110,751],{},[730,2112,2113,2115],{},[105,2114,189],{},[301,2116,303],{},[109,2118,2119],{"encoding":111},"B_2 = A_2",[86,2121,2123,2178],{"className":2122,"ariaHidden":117},[116],[86,2124,2126,2129,2169,2172,2175],{"className":2125},[121],[86,2127],{"className":2128,"style":819},[125],[86,2130,2132,2135],{"className":2131},[130],[86,2133,1806],{"className":2134,"style":1847},[130,131],[86,2136,2138],{"className":2137},[350],[86,2139,2141,2161],{"className":2140},[354,835],[86,2142,2144,2158],{"className":2143},[358],[86,2145,2147],{"className":2146,"style":1222},[362],[86,2148,2149,2152],{"style":1862},[86,2150],{"className":2151,"style":370},[369],[86,2153,2155],{"className":2154},[374,375,376,377],[86,2156,303],{"className":2157},[130,377],[86,2159,859],{"className":2160},[858],[86,2162,2164],{"className":2163},[358],[86,2165,2167],{"className":2166,"style":866},[362],[86,2168],{},[86,2170],{"className":2171,"style":327},[326],[86,2173,751],{"className":2174},[166],[86,2176],{"className":2177,"style":327},[326],[86,2179,2181,2184],{"className":2180},[121],[86,2182],{"className":2183,"style":819},[125],[86,2185,2187,2190],{"className":2186},[130],[86,2188,189],{"className":2189},[130,131],[86,2191,2193],{"className":2192},[350],[86,2194,2196,2216],{"className":2195},[354,835],[86,2197,2199,2213],{"className":2198},[358],[86,2200,2202],{"className":2201,"style":1222},[362],[86,2203,2204,2207],{"style":845},[86,2205],{"className":2206,"style":370},[369],[86,2208,2210],{"className":2209},[374,375,376,377],[86,2211,303],{"className":2212},[130,377],[86,2214,859],{"className":2215},[858],[86,2217,2219],{"className":2218},[358],[86,2220,2222],{"className":2221,"style":866},[362],[86,2223],{},[1954,2225,2226],{},[86,2227,2229,2251],{"className":2228},[89],[86,2230,2232],{"className":2231},[93],[95,2233,2234],{"xmlns":97},[99,2235,2236,2248],{},[102,2237,2238,2244,2246],{},[730,2239,2240,2242],{},[105,2241,1806],{},[301,2243,1106],{},[147,2245,751],{},[105,2247,448],{"mathvariant":447},[109,2249,2250],{"encoding":111},"B_3 = \\emptyset",[86,2252,2254,2309],{"className":2253,"ariaHidden":117},[116],[86,2255,2257,2260,2300,2303,2306],{"className":2256},[121],[86,2258],{"className":2259,"style":819},[125],[86,2261,2263,2266],{"className":2262},[130],[86,2264,1806],{"className":2265,"style":1847},[130,131],[86,2267,2269],{"className":2268},[350],[86,2270,2272,2292],{"className":2271},[354,835],[86,2273,2275,2289],{"className":2274},[358],[86,2276,2278],{"className":2277,"style":1222},[362],[86,2279,2280,2283],{"style":1862},[86,2281],{"className":2282,"style":370},[369],[86,2284,2286],{"className":2285},[374,375,376,377],[86,2287,1106],{"className":2288},[130,377],[86,2290,859],{"className":2291},[858],[86,2293,2295],{"className":2294},[358],[86,2296,2298],{"className":2297,"style":866},[362],[86,2299],{},[86,2301],{"className":2302,"style":327},[326],[86,2304,751],{"className":2305},[166],[86,2307],{"className":2308,"style":327},[326],[86,2310,2312,2315],{"className":2311},[121],[86,2313],{"className":2314,"style":474},[125],[86,2316,448],{"className":2317},[130],[1954,2319,2320],{},[86,2321,2323,2345],{"className":2322},[89],[86,2324,2326],{"className":2325},[93],[95,2327,2328],{"xmlns":97},[99,2329,2330,2342],{},[102,2331,2332,2338,2340],{},[730,2333,2334,2336],{},[105,2335,1806],{},[301,2337,1461],{},[147,2339,751],{},[105,2341,448],{"mathvariant":447},[109,2343,2344],{"encoding":111},"B_4 = \\emptyset",[86,2346,2348,2403],{"className":2347,"ariaHidden":117},[116],[86,2349,2351,2354,2394,2397,2400],{"className":2350},[121],[86,2352],{"className":2353,"style":819},[125],[86,2355,2357,2360],{"className":2356},[130],[86,2358,1806],{"className":2359,"style":1847},[130,131],[86,2361,2363],{"className":2362},[350],[86,2364,2366,2386],{"className":2365},[354,835],[86,2367,2369,2383],{"className":2368},[358],[86,2370,2372],{"className":2371,"style":1222},[362],[86,2373,2374,2377],{"style":1862},[86,2375],{"className":2376,"style":370},[369],[86,2378,2380],{"className":2379},[374,375,376,377],[86,2381,1461],{"className":2382},[130,377],[86,2384,859],{"className":2385},[858],[86,2387,2389],{"className":2388},[358],[86,2390,2392],{"className":2391,"style":866},[362],[86,2393],{},[86,2395],{"className":2396,"style":327},[326],[86,2398,751],{"className":2399},[166],[86,2401],{"className":2402,"style":327},[326],[86,2404,2406,2409],{"className":2405},[121],[86,2407],{"className":2408,"style":474},[125],[86,2410,448],{"className":2411},[130],[1954,2413,2414],{},[86,2415,2417,2440],{"className":2416},[89],[86,2418,2420],{"className":2419},[93],[95,2421,2422],{"xmlns":97},[99,2423,2424,2437],{},[102,2425,2426,2429],{},[105,2427,2428],{"mathvariant":447},"⋮",[2430,2431,2433],"mpadded",{"height":2432,"voffset":2432},"0em",[326,2434],{"mathbackground":2435,"width":2432,"height":2436},"black","1.5em",[109,2438,2439],{"encoding":111},"\\vdots",[86,2441,2443],{"className":2442,"ariaHidden":117},[116],[86,2444,2446,2450],{"className":2445},[121],[86,2447],{"className":2448,"style":2449},[125],"height:1.53em;vertical-align:-0.03em;",[86,2451,2453,2456],{"className":2452},[130],[86,2454,2428],{"className":2455},[130],[86,2457],{"className":2458,"style":2460},[130,2459],"rule","border-right-width:0em;border-top-width:1.5em;bottom:0em;",[75,2462,2463,2464,2534,2535,2564],{},"（",[86,2465,2467,2485],{"className":2466},[89],[86,2468,2470],{"className":2469},[93],[95,2471,2472],{"xmlns":97},[99,2473,2474,2482],{},[102,2475,2476],{},[730,2477,2478,2480],{},[105,2479,1806],{},[301,2481,1106],{},[109,2483,2484],{"encoding":111},"B_3",[86,2486,2488],{"className":2487,"ariaHidden":117},[116],[86,2489,2491,2494],{"className":2490},[121],[86,2492],{"className":2493,"style":819},[125],[86,2495,2497,2500],{"className":2496},[130],[86,2498,1806],{"className":2499,"style":1847},[130,131],[86,2501,2503],{"className":2502},[350],[86,2504,2506,2526],{"className":2505},[354,835],[86,2507,2509,2523],{"className":2508},[358],[86,2510,2512],{"className":2511,"style":1222},[362],[86,2513,2514,2517],{"style":1862},[86,2515],{"className":2516,"style":370},[369],[86,2518,2520],{"className":2519},[374,375,376,377],[86,2521,1106],{"className":2522},[130,377],[86,2524,859],{"className":2525},[858],[86,2527,2529],{"className":2528},[358],[86,2530,2532],{"className":2531,"style":866},[362],[86,2533],{}," 以降はすべて ",[86,2536,2538,2552],{"className":2537},[89],[86,2539,2541],{"className":2540},[93],[95,2542,2543],{"xmlns":97},[99,2544,2545,2549],{},[102,2546,2547],{},[105,2548,448],{"mathvariant":447},[109,2550,2551],{"encoding":111},"\\emptyset",[86,2553,2555],{"className":2554,"ariaHidden":117},[116],[86,2556,2558,2561],{"className":2557},[121],[86,2559],{"className":2560,"style":474},[125],[86,2562,448],{"className":2563},[130],"）",[75,2566,2567,2568,2714,2715,2766,2767,2795],{},"(3) より ",[86,2569,2571,2601],{"className":2570},[89],[86,2572,2574],{"className":2573},[93],[95,2575,2576],{"xmlns":97},[99,2577,2578,2598],{},[102,2579,2580,2586,2588,2594,2596],{},[730,2581,2582,2584],{},[105,2583,189],{},[301,2585,522],{},[147,2587,756],{"separator":117},[730,2589,2590,2592],{},[105,2591,189],{},[301,2593,303],{},[147,2595,451],{},[105,2597,189],{"mathvariant":188},[109,2599,2600],{"encoding":111},"A_1, A_2 \\in \\mathcal{A}",[86,2602,2604,2705],{"className":2603,"ariaHidden":117},[116],[86,2605,2607,2610,2650,2653,2656,2696,2699,2702],{"className":2606},[121],[86,2608],{"className":2609,"style":1200},[125],[86,2611,2613,2616],{"className":2612},[130],[86,2614,189],{"className":2615},[130,131],[86,2617,2619],{"className":2618},[350],[86,2620,2622,2642],{"className":2621},[354,835],[86,2623,2625,2639],{"className":2624},[358],[86,2626,2628],{"className":2627,"style":1222},[362],[86,2629,2630,2633],{"style":845},[86,2631],{"className":2632,"style":370},[369],[86,2634,2636],{"className":2635},[374,375,376,377],[86,2637,522],{"className":2638},[130,377],[86,2640,859],{"className":2641},[858],[86,2643,2645],{"className":2644},[358],[86,2646,2648],{"className":2647,"style":866},[362],[86,2649],{},[86,2651,756],{"className":2652},[918],[86,2654],{"className":2655,"style":922},[326],[86,2657,2659,2662],{"className":2658},[130],[86,2660,189],{"className":2661},[130,131],[86,2663,2665],{"className":2664},[350],[86,2666,2668,2688],{"className":2667},[354,835],[86,2669,2671,2685],{"className":2670},[358],[86,2672,2674],{"className":2673,"style":1222},[362],[86,2675,2676,2679],{"style":845},[86,2677],{"className":2678,"style":370},[369],[86,2680,2682],{"className":2681},[374,375,376,377],[86,2683,303],{"className":2684},[130,377],[86,2686,859],{"className":2687},[858],[86,2689,2691],{"className":2690},[358],[86,2692,2694],{"className":2693,"style":866},[362],[86,2695],{},[86,2697],{"className":2698,"style":327},[326],[86,2700,451],{"className":2701},[166],[86,2703],{"className":2704,"style":327},[326],[86,2706,2708,2711],{"className":2707},[121],[86,2709],{"className":2710,"style":202},[125],[86,2712,189],{"className":2713},[130,206],"、また (1) より ",[86,2716,2718,2736],{"className":2717},[89],[86,2719,2721],{"className":2720},[93],[95,2722,2723],{"xmlns":97},[99,2724,2725,2733],{},[102,2726,2727,2729,2731],{},[105,2728,448],{"mathvariant":447},[147,2730,451],{},[105,2732,189],{"mathvariant":188},[109,2734,2735],{"encoding":111},"\\emptyset \\in \\mathcal{A}",[86,2737,2739,2757],{"className":2738,"ariaHidden":117},[116],[86,2740,2742,2745,2748,2751,2754],{"className":2741},[121],[86,2743],{"className":2744,"style":474},[125],[86,2746,448],{"className":2747},[130],[86,2749],{"className":2750,"style":327},[326],[86,2752,451],{"className":2753},[166],[86,2755],{"className":2756,"style":327},[326],[86,2758,2760,2763],{"className":2759},[121],[86,2761],{"className":2762,"style":202},[125],[86,2764,189],{"className":2765},[130,206]," であるから、この集合列のすべての要素は ",[86,2768,2770,2783],{"className":2769},[89],[86,2771,2773],{"className":2772},[93],[95,2774,2775],{"xmlns":97},[99,2776,2777,2781],{},[102,2778,2779],{},[105,2780,189],{"mathvariant":188},[109,2782,192],{"encoding":111},[86,2784,2786],{"className":2785,"ariaHidden":117},[116],[86,2787,2789,2792],{"className":2788},[121],[86,2790],{"className":2791,"style":202},[125],[86,2793,189],{"className":2794},[130,206]," に属している。よって、(3) より、",[86,2797,2799],{"className":2798},[415],[86,2800,2802,2883],{"className":2801},[89],[86,2803,2805],{"className":2804},[93],[95,2806,2807],{"xmlns":97,"display":424},[99,2808,2809,2880],{},[102,2810,2811,2826,2832,2834,2840,2842,2848,2850,2852,2854,2857,2859,2865,2867,2873,2875,2877],{},[2812,2813,2814,2816,2824],"munderover",{},[147,2815,780],{},[102,2817,2818,2820,2822],{},[105,2819,736],{},[147,2821,751],{},[301,2823,522],{},[105,2825,1825],{"mathvariant":447},[730,2827,2828,2830],{},[105,2829,1806],{},[105,2831,736],{},[147,2833,751],{},[730,2835,2836,2838],{},[105,2837,189],{},[301,2839,522],{},[147,2841,1170],{},[730,2843,2844,2846],{},[105,2845,189],{},[301,2847,303],{},[147,2849,1170],{},[105,2851,448],{"mathvariant":447},[147,2853,1170],{},[147,2855,2856],{},"⋯",[147,2858,751],{},[730,2860,2861,2863],{},[105,2862,189],{},[301,2864,522],{},[147,2866,1170],{},[730,2868,2869,2871],{},[105,2870,189],{},[301,2872,303],{},[147,2874,451],{},[105,2876,189],{"mathvariant":188},[105,2878,2879],{"mathvariant":447},".",[109,2881,2882],{"encoding":111},"\\bigcup_{n=1}^{\\infty} B_n = A_1 \\cup A_2 \\cup \\emptyset \\cup \\cdots = A_1 \\cup A_2 \\in \\mathcal{A}.",[86,2884,2886,3015,3070,3125,3143,3161,3216,3271],{"className":2885,"ariaHidden":117},[116],[86,2887,2889,2893,2963,2966,3006,3009,3012],{"className":2888},[121],[86,2890],{"className":2891,"style":2892},[125],"height:2.9185em;vertical-align:-1.2671em;",[86,2894,2896],{"className":2895},[968,969],[86,2897,2899,2954],{"className":2898},[354,835],[86,2900,2902,2951],{"className":2901},[358],[86,2903,2906,2926,2936],{"className":2904,"style":2905},[362],"height:1.6514em;",[86,2907,2908,2911],{"style":982},[86,2909],{"className":2910,"style":986},[369],[86,2912,2914],{"className":2913},[374,375,376,377],[86,2915,2917,2920,2923],{"className":2916},[130,377],[86,2918,736],{"className":2919},[130,131,377],[86,2921,751],{"className":2922},[166,377],[86,2924,522],{"className":2925},[130,377],[86,2927,2928,2931],{"style":1004},[86,2929],{"className":2930,"style":986},[369],[86,2932,2933],{},[86,2934,780],{"className":2935},[968,1013,1014],[86,2937,2939,2942],{"style":2938},"top:-4.3em;margin-left:0em;",[86,2940],{"className":2941,"style":986},[369],[86,2943,2945],{"className":2944},[374,375,376,377],[86,2946,2948],{"className":2947},[130,377],[86,2949,1825],{"className":2950},[130,377],[86,2952,859],{"className":2953},[858],[86,2955,2957],{"className":2956},[358],[86,2958,2961],{"className":2959,"style":2960},[362],"height:1.2671em;",[86,2962],{},[86,2964],{"className":2965,"style":922},[326],[86,2967,2969,2972],{"className":2968},[130],[86,2970,1806],{"className":2971,"style":1847},[130,131],[86,2973,2975],{"className":2974},[350],[86,2976,2978,2998],{"className":2977},[354,835],[86,2979,2981,2995],{"className":2980},[358],[86,2982,2984],{"className":2983,"style":842},[362],[86,2985,2986,2989],{"style":1862},[86,2987],{"className":2988,"style":370},[369],[86,2990,2992],{"className":2991},[374,375,376,377],[86,2993,736],{"className":2994},[130,131,377],[86,2996,859],{"className":2997},[858],[86,2999,3001],{"className":3000},[358],[86,3002,3004],{"className":3003,"style":866},[362],[86,3005],{},[86,3007],{"className":3008,"style":327},[326],[86,3010,751],{"className":3011},[166],[86,3013],{"className":3014,"style":327},[326],[86,3016,3018,3021,3061,3064,3067],{"className":3017},[121],[86,3019],{"className":3020,"style":819},[125],[86,3022,3024,3027],{"className":3023},[130],[86,3025,189],{"className":3026},[130,131],[86,3028,3030],{"className":3029},[350],[86,3031,3033,3053],{"className":3032},[354,835],[86,3034,3036,3050],{"className":3035},[358],[86,3037,3039],{"className":3038,"style":1222},[362],[86,3040,3041,3044],{"style":845},[86,3042],{"className":3043,"style":370},[369],[86,3045,3047],{"className":3046},[374,375,376,377],[86,3048,522],{"className":3049},[130,377],[86,3051,859],{"className":3052},[858],[86,3054,3056],{"className":3055},[358],[86,3057,3059],{"className":3058,"style":866},[362],[86,3060],{},[86,3062],{"className":3063,"style":648},[326],[86,3065,1170],{"className":3066},[652],[86,3068],{"className":3069,"style":648},[326],[86,3071,3073,3076,3116,3119,3122],{"className":3072},[121],[86,3074],{"className":3075,"style":819},[125],[86,3077,3079,3082],{"className":3078},[130],[86,3080,189],{"className":3081},[130,131],[86,3083,3085],{"className":3084},[350],[86,3086,3088,3108],{"className":3087},[354,835],[86,3089,3091,3105],{"className":3090},[358],[86,3092,3094],{"className":3093,"style":1222},[362],[86,3095,3096,3099],{"style":845},[86,3097],{"className":3098,"style":370},[369],[86,3100,3102],{"className":3101},[374,375,376,377],[86,3103,303],{"className":3104},[130,377],[86,3106,859],{"className":3107},[858],[86,3109,3111],{"className":3110},[358],[86,3112,3114],{"className":3113,"style":866},[362],[86,3115],{},[86,3117],{"className":3118,"style":648},[326],[86,3120,1170],{"className":3121},[652],[86,3123],{"className":3124,"style":648},[326],[86,3126,3128,3131,3134,3137,3140],{"className":3127},[121],[86,3129],{"className":3130,"style":474},[125],[86,3132,448],{"className":3133},[130],[86,3135],{"className":3136,"style":648},[326],[86,3138,1170],{"className":3139},[652],[86,3141],{"className":3142,"style":648},[326],[86,3144,3146,3149,3152,3155,3158],{"className":3145},[121],[86,3147],{"className":3148,"style":162},[125],[86,3150,2856],{"className":3151},[935],[86,3153],{"className":3154,"style":327},[326],[86,3156,751],{"className":3157},[166],[86,3159],{"className":3160,"style":327},[326],[86,3162,3164,3167,3207,3210,3213],{"className":3163},[121],[86,3165],{"className":3166,"style":819},[125],[86,3168,3170,3173],{"className":3169},[130],[86,3171,189],{"className":3172},[130,131],[86,3174,3176],{"className":3175},[350],[86,3177,3179,3199],{"className":3178},[354,835],[86,3180,3182,3196],{"className":3181},[358],[86,3183,3185],{"className":3184,"style":1222},[362],[86,3186,3187,3190],{"style":845},[86,3188],{"className":3189,"style":370},[369],[86,3191,3193],{"className":3192},[374,375,376,377],[86,3194,522],{"className":3195},[130,377],[86,3197,859],{"className":3198},[858],[86,3200,3202],{"className":3201},[358],[86,3203,3205],{"className":3204,"style":866},[362],[86,3206],{},[86,3208],{"className":3209,"style":648},[326],[86,3211,1170],{"className":3212},[652],[86,3214],{"className":3215,"style":648},[326],[86,3217,3219,3222,3262,3265,3268],{"className":3218},[121],[86,3220],{"className":3221,"style":819},[125],[86,3223,3225,3228],{"className":3224},[130],[86,3226,189],{"className":3227},[130,131],[86,3229,3231],{"className":3230},[350],[86,3232,3234,3254],{"className":3233},[354,835],[86,3235,3237,3251],{"className":3236},[358],[86,3238,3240],{"className":3239,"style":1222},[362],[86,3241,3242,3245],{"style":845},[86,3243],{"className":3244,"style":370},[369],[86,3246,3248],{"className":3247},[374,375,376,377],[86,3249,303],{"className":3250},[130,377],[86,3252,859],{"className":3253},[858],[86,3255,3257],{"className":3256},[358],[86,3258,3260],{"className":3259,"style":866},[362],[86,3261],{},[86,3263],{"className":3264,"style":327},[326],[86,3266,451],{"className":3267},[166],[86,3269],{"className":3270,"style":327},[326],[86,3272,3274,3277,3280],{"className":3273},[121],[86,3275],{"className":3276,"style":202},[125],[86,3278,189],{"className":3279},[130,206],[86,3281,2879],{"className":3282},[130],[274,3284,172],{"id":3285},"ii",[75,3287,3288,3289,3317,3318,3377,3378,3406,3407,3435],{},"全体集合 ",[86,3290,3292,3305],{"className":3291},[89],[86,3293,3295],{"className":3294},[93],[95,3296,3297],{"xmlns":97},[99,3298,3299,3303],{},[102,3300,3301],{},[105,3302,306],{},[109,3304,306],{"encoding":111},[86,3306,3308],{"className":3307,"ariaHidden":117},[116],[86,3309,3311,3314],{"className":3310},[121],[86,3312],{"className":3313,"style":202},[125],[86,3315,306],{"className":3316,"style":381},[130,131]," の部分集合 ",[86,3319,3321,3339],{"className":3320},[89],[86,3322,3324],{"className":3323},[93],[95,3325,3326],{"xmlns":97},[99,3327,3328,3336],{},[102,3329,3330],{},[298,3331,3332,3334],{},[301,3333,303],{},[105,3335,306],{},[109,3337,3338],{"encoding":111},"2^S",[86,3340,3342],{"className":3341,"ariaHidden":117},[116],[86,3343,3345,3348],{"className":3344},[121],[86,3346],{"className":3347,"style":340},[125],[86,3349,3351,3354],{"className":3350},[130],[86,3352,303],{"className":3353},[130],[86,3355,3357],{"className":3356},[350],[86,3358,3360],{"className":3359},[354],[86,3361,3363],{"className":3362},[358],[86,3364,3366],{"className":3365,"style":340},[362],[86,3367,3368,3371],{"style":365},[86,3369],{"className":3370,"style":370},[369],[86,3372,3374],{"className":3373},[374,375,376,377],[86,3375,306],{"className":3376,"style":381},[130,131,377]," の集まりで ",[86,3379,3381,3394],{"className":3380},[89],[86,3382,3384],{"className":3383},[93],[95,3385,3386],{"xmlns":97},[99,3387,3388,3392],{},[102,3389,3390],{},[105,3391,189],{"mathvariant":188},[109,3393,192],{"encoding":111},[86,3395,3397],{"className":3396,"ariaHidden":117},[116],[86,3398,3400,3403],{"className":3399},[121],[86,3401],{"className":3402,"style":202},[125],[86,3404,189],{"className":3405},[130,206]," とする。仮定より ",[86,3408,3410,3423],{"className":3409},[89],[86,3411,3413],{"className":3412},[93],[95,3414,3415],{"xmlns":97},[99,3416,3417,3421],{},[102,3418,3419],{},[105,3420,189],{"mathvariant":188},[109,3422,192],{"encoding":111},[86,3424,3426],{"className":3425,"ariaHidden":117},[116],[86,3427,3429,3432],{"className":3428},[121],[86,3430],{"className":3431,"style":202},[125],[86,3433,189],{"className":3434},[130,206]," に含まれる要素は有限個である：",[86,3437,3439],{"className":3438},[415],[86,3440,3442,3502],{"className":3441},[89],[86,3443,3445],{"className":3444},[93],[95,3446,3447],{"xmlns":97,"display":424},[99,3448,3449,3499],{},[102,3450,3451,3453,3455,3457,3463,3465,3471,3473,3475,3477,3484,3486,3488,3490,3492,3495,3497],{},[105,3452,189],{"mathvariant":188},[147,3454,751],{},[147,3456,1801],{"stretchy":746},[730,3458,3459,3461],{},[105,3460,189],{},[301,3462,522],{},[147,3464,756],{"separator":117},[730,3466,3467,3469],{},[105,3468,189],{},[301,3470,303],{},[147,3472,756],{"separator":117},[147,3474,763],{},[147,3476,756],{"separator":117},[730,3478,3479,3481],{},[105,3480,189],{},[105,3482,3483],{},"m",[147,3485,1814],{"stretchy":746},[326,3487],{"width":444},[147,3489,515],{"stretchy":746},[105,3491,3483],{},[459,3493,3494],{}," はある自然数",[147,3496,526],{"stretchy":746},[105,3498,2879],{"mathvariant":447},[109,3500,3501],{"encoding":111},"\\mathcal{A} = \\{A_1, A_2, \\dots, A_m\\} \\quad (m \\text{ はある自然数}).",[86,3503,3505,3523],{"className":3504,"ariaHidden":117},[116],[86,3506,3508,3511,3514,3517,3520],{"className":3507},[121],[86,3509],{"className":3510,"style":202},[125],[86,3512,189],{"className":3513},[130,206],[86,3515],{"className":3516,"style":327},[326],[86,3518,751],{"className":3519},[166],[86,3521],{"className":3522,"style":327},[326],[86,3524,3526,3529,3532,3572,3575,3578,3618,3621,3624,3627,3630,3633,3636,3676,3679,3682,3685,3688,3699,3702],{"className":3525},[121],[86,3527],{"className":3528,"style":507},[125],[86,3530,1801],{"className":3531},[893],[86,3533,3535,3538],{"className":3534},[130],[86,3536,189],{"className":3537},[130,131],[86,3539,3541],{"className":3540},[350],[86,3542,3544,3564],{"className":3543},[354,835],[86,3545,3547,3561],{"className":3546},[358],[86,3548,3550],{"className":3549,"style":1222},[362],[86,3551,3552,3555],{"style":845},[86,3553],{"className":3554,"style":370},[369],[86,3556,3558],{"className":3557},[374,375,376,377],[86,3559,522],{"className":3560},[130,377],[86,3562,859],{"className":3563},[858],[86,3565,3567],{"className":3566},[358],[86,3568,3570],{"className":3569,"style":866},[362],[86,3571],{},[86,3573,756],{"className":3574},[918],[86,3576],{"className":3577,"style":922},[326],[86,3579,3581,3584],{"className":3580},[130],[86,3582,189],{"className":3583},[130,131],[86,3585,3587],{"className":3586},[350],[86,3588,3590,3610],{"className":3589},[354,835],[86,3591,3593,3607],{"className":3592},[358],[86,3594,3596],{"className":3595,"style":1222},[362],[86,3597,3598,3601],{"style":845},[86,3599],{"className":3600,"style":370},[369],[86,3602,3604],{"className":3603},[374,375,376,377],[86,3605,303],{"className":3606},[130,377],[86,3608,859],{"className":3609},[858],[86,3611,3613],{"className":3612},[358],[86,3614,3616],{"className":3615,"style":866},[362],[86,3617],{},[86,3619,756],{"className":3620},[918],[86,3622],{"className":3623,"style":922},[326],[86,3625,763],{"className":3626},[935],[86,3628],{"className":3629,"style":922},[326],[86,3631,756],{"className":3632},[918],[86,3634],{"className":3635,"style":922},[326],[86,3637,3639,3642],{"className":3638},[130],[86,3640,189],{"className":3641},[130,131],[86,3643,3645],{"className":3644},[350],[86,3646,3648,3668],{"className":3647},[354,835],[86,3649,3651,3665],{"className":3650},[358],[86,3652,3654],{"className":3653,"style":842},[362],[86,3655,3656,3659],{"style":845},[86,3657],{"className":3658,"style":370},[369],[86,3660,3662],{"className":3661},[374,375,376,377],[86,3663,3483],{"className":3664},[130,131,377],[86,3666,859],{"className":3667},[858],[86,3669,3671],{"className":3670},[358],[86,3672,3674],{"className":3673,"style":866},[362],[86,3675],{},[86,3677,1814],{"className":3678},[942],[86,3680],{"className":3681,"style":478},[326],[86,3683,515],{"className":3684},[893],[86,3686,3483],{"className":3687},[130,131],[86,3689,3691,3694],{"className":3690},[130,511],[86,3692,743],{"className":3693},[130],[86,3695,3698],{"className":3696},[130,3697],"cjk_fallback","はある自然数",[86,3700,526],{"className":3701},[942],[86,3703,2879],{"className":3704},[130],[75,3706,3707,3708,3736,3737,3765,3766,3794,3795,3954,3955,1757,4113,4141],{},"この ",[86,3709,3711,3724],{"className":3710},[89],[86,3712,3714],{"className":3713},[93],[95,3715,3716],{"xmlns":97},[99,3717,3718,3722],{},[102,3719,3720],{},[105,3721,189],{"mathvariant":188},[109,3723,192],{"encoding":111},[86,3725,3727],{"className":3726,"ariaHidden":117},[116],[86,3728,3730,3733],{"className":3729},[121],[86,3731],{"className":3732,"style":202},[125],[86,3734,189],{"className":3735},[130,206]," が ",[86,3738,3740,3753],{"className":3739},[89],[86,3741,3743],{"className":3742},[93],[95,3744,3745],{"xmlns":97},[99,3746,3747,3751],{},[102,3748,3749],{},[105,3750,107],{},[109,3752,112],{"encoding":111},[86,3754,3756],{"className":3755,"ariaHidden":117},[116],[86,3757,3759,3762],{"className":3758},[121],[86,3760],{"className":3761,"style":126},[125],[86,3763,107],{"className":3764,"style":132},[130,131],"-加法族であることを示すには、",[86,3767,3769,3782],{"className":3768},[89],[86,3770,3772],{"className":3771},[93],[95,3773,3774],{"xmlns":97},[99,3775,3776,3780],{},[102,3777,3778],{},[105,3779,189],{"mathvariant":188},[109,3781,192],{"encoding":111},[86,3783,3785],{"className":3784,"ariaHidden":117},[116],[86,3786,3788,3791],{"className":3787},[121],[86,3789],{"className":3790,"style":202},[125],[86,3792,189],{"className":3793},[130,206]," からどの可算無限個の列 ",[86,3796,3798,3832],{"className":3797},[89],[86,3799,3801],{"className":3800},[93],[95,3802,3803],{"xmlns":97},[99,3804,3805,3829],{},[102,3806,3807,3813,3815,3821,3823,3825,3827],{},[730,3808,3809,3811],{},[105,3810,1806],{},[301,3812,522],{},[147,3814,756],{"separator":117},[730,3816,3817,3819],{},[105,3818,1806],{},[301,3820,303],{},[147,3822,756],{"separator":117},[147,3824,2856],{},[147,3826,451],{},[105,3828,189],{"mathvariant":188},[109,3830,3831],{"encoding":111},"B_1, B_2, \\dots \\in \\mathcal{A}",[86,3833,3835,3945],{"className":3834,"ariaHidden":117},[116],[86,3836,3838,3841,3881,3884,3887,3927,3930,3933,3936,3939,3942],{"className":3837},[121],[86,3839],{"className":3840,"style":1200},[125],[86,3842,3844,3847],{"className":3843},[130],[86,3845,1806],{"className":3846,"style":1847},[130,131],[86,3848,3850],{"className":3849},[350],[86,3851,3853,3873],{"className":3852},[354,835],[86,3854,3856,3870],{"className":3855},[358],[86,3857,3859],{"className":3858,"style":1222},[362],[86,3860,3861,3864],{"style":1862},[86,3862],{"className":3863,"style":370},[369],[86,3865,3867],{"className":3866},[374,375,376,377],[86,3868,522],{"className":3869},[130,377],[86,3871,859],{"className":3872},[858],[86,3874,3876],{"className":3875},[358],[86,3877,3879],{"className":3878,"style":866},[362],[86,3880],{},[86,3882,756],{"className":3883},[918],[86,3885],{"className":3886,"style":922},[326],[86,3888,3890,3893],{"className":3889},[130],[86,3891,1806],{"className":3892,"style":1847},[130,131],[86,3894,3896],{"className":3895},[350],[86,3897,3899,3919],{"className":3898},[354,835],[86,3900,3902,3916],{"className":3901},[358],[86,3903,3905],{"className":3904,"style":1222},[362],[86,3906,3907,3910],{"style":1862},[86,3908],{"className":3909,"style":370},[369],[86,3911,3913],{"className":3912},[374,375,376,377],[86,3914,303],{"className":3915},[130,377],[86,3917,859],{"className":3918},[858],[86,3920,3922],{"className":3921},[358],[86,3923,3925],{"className":3924,"style":866},[362],[86,3926],{},[86,3928,756],{"className":3929},[918],[86,3931],{"className":3932,"style":922},[326],[86,3934,2856],{"className":3935},[935],[86,3937],{"className":3938,"style":327},[326],[86,3940,451],{"className":3941},[166],[86,3943],{"className":3944,"style":327},[326],[86,3946,3948,3951],{"className":3947},[121],[86,3949],{"className":3950,"style":202},[125],[86,3952,189],{"className":3953},[130,206]," を選んできてもその無限和 ",[86,3956,3958,3994],{"className":3957},[89],[86,3959,3961],{"className":3960},[93],[95,3962,3963],{"xmlns":97},[99,3964,3965,3991],{},[102,3966,3967],{},[3968,3969,3971,3985],"mstyle",{"scriptlevel":3970,"displaystyle":117},"0",[2812,3972,3973,3975,3983],{},[147,3974,780],{},[102,3976,3977,3979,3981],{},[105,3978,736],{},[147,3980,751],{},[301,3982,522],{},[105,3984,1825],{"mathvariant":447},[730,3986,3987,3989],{},[105,3988,1806],{},[105,3990,736],{},[109,3992,3993],{"encoding":111},"\\displaystyle\\bigcup_{n=1}^{\\infty} B_n",[86,3995,3997],{"className":3996,"ariaHidden":117},[116],[86,3998,4000,4003,4070,4073],{"className":3999},[121],[86,4001],{"className":4002,"style":2892},[125],[86,4004,4006],{"className":4005},[968,969],[86,4007,4009,4062],{"className":4008},[354,835],[86,4010,4012,4059],{"className":4011},[358],[86,4013,4015,4035,4045],{"className":4014,"style":2905},[362],[86,4016,4017,4020],{"style":982},[86,4018],{"className":4019,"style":986},[369],[86,4021,4023],{"className":4022},[374,375,376,377],[86,4024,4026,4029,4032],{"className":4025},[130,377],[86,4027,736],{"className":4028},[130,131,377],[86,4030,751],{"className":4031},[166,377],[86,4033,522],{"className":4034},[130,377],[86,4036,4037,4040],{"style":1004},[86,4038],{"className":4039,"style":986},[369],[86,4041,4042],{},[86,4043,780],{"className":4044},[968,1013,1014],[86,4046,4047,4050],{"style":2938},[86,4048],{"className":4049,"style":986},[369],[86,4051,4053],{"className":4052},[374,375,376,377],[86,4054,4056],{"className":4055},[130,377],[86,4057,1825],{"className":4058},[130,377],[86,4060,859],{"className":4061},[858],[86,4063,4065],{"className":4064},[358],[86,4066,4068],{"className":4067,"style":2960},[362],[86,4069],{},[86,4071],{"className":4072,"style":922},[326],[86,4074,4076,4079],{"className":4075},[130],[86,4077,1806],{"className":4078,"style":1847},[130,131],[86,4080,4082],{"className":4081},[350],[86,4083,4085,4105],{"className":4084},[354,835],[86,4086,4088,4102],{"className":4087},[358],[86,4089,4091],{"className":4090,"style":842},[362],[86,4092,4093,4096],{"style":1862},[86,4094],{"className":4095,"style":370},[369],[86,4097,4099],{"className":4098},[374,375,376,377],[86,4100,736],{"className":4101},[130,131,377],[86,4103,859],{"className":4104},[858],[86,4106,4108],{"className":4107},[358],[86,4109,4111],{"className":4110,"style":866},[362],[86,4112],{},[86,4114,4116,4129],{"className":4115},[89],[86,4117,4119],{"className":4118},[93],[95,4120,4121],{"xmlns":97},[99,4122,4123,4127],{},[102,4124,4125],{},[105,4126,189],{"mathvariant":188},[109,4128,192],{"encoding":111},[86,4130,4132],{"className":4131,"ariaHidden":117},[116],[86,4133,4135,4138],{"className":4134},[121],[86,4136],{"className":4137,"style":202},[125],[86,4139,189],{"className":4140},[130,206]," に属することを示せばよい。",[75,4143,4144,4145,4173,4174,4325,4326,4354,4355,4383,4384,4521],{},"いま、",[86,4146,4148,4161],{"className":4147},[89],[86,4149,4151],{"className":4150},[93],[95,4152,4153],{"xmlns":97},[99,4154,4155,4159],{},[102,4156,4157],{},[105,4158,189],{"mathvariant":188},[109,4160,192],{"encoding":111},[86,4162,4164],{"className":4163,"ariaHidden":117},[116],[86,4165,4167,4170],{"className":4166},[121],[86,4168],{"className":4169,"style":202},[125],[86,4171,189],{"className":4172},[130,206]," から任意の可算無限列 ",[86,4175,4177,4210],{"className":4176},[89],[86,4178,4180],{"className":4179},[93],[95,4181,4182],{"xmlns":97},[99,4183,4184,4208],{},[102,4185,4186,4188,4194],{},[147,4187,1801],{"stretchy":746},[730,4189,4190,4192],{},[105,4191,1806],{},[105,4193,736],{},[1810,4195,4196,4198,4206],{},[147,4197,1814],{"stretchy":746},[102,4199,4200,4202,4204],{},[105,4201,736],{},[147,4203,751],{},[301,4205,522],{},[105,4207,1825],{"mathvariant":447},[109,4209,1828],{"encoding":111},[86,4211,4213],{"className":4212,"ariaHidden":117},[116],[86,4214,4216,4219,4222,4262],{"className":4215},[121],[86,4217],{"className":4218,"style":507},[125],[86,4220,1801],{"className":4221},[893],[86,4223,4225,4228],{"className":4224},[130],[86,4226,1806],{"className":4227,"style":1847},[130,131],[86,4229,4231],{"className":4230},[350],[86,4232,4234,4254],{"className":4233},[354,835],[86,4235,4237,4251],{"className":4236},[358],[86,4238,4240],{"className":4239,"style":842},[362],[86,4241,4242,4245],{"style":1862},[86,4243],{"className":4244,"style":370},[369],[86,4246,4248],{"className":4247},[374,375,376,377],[86,4249,736],{"className":4250},[130,131,377],[86,4252,859],{"className":4253},[858],[86,4255,4257],{"className":4256},[358],[86,4258,4260],{"className":4259,"style":866},[362],[86,4261],{},[86,4263,4265,4268],{"className":4264},[942],[86,4266,1814],{"className":4267},[942],[86,4269,4271],{"className":4270},[350],[86,4272,4274,4317],{"className":4273},[354,835],[86,4275,4277,4314],{"className":4276},[358],[86,4278,4280,4300],{"className":4279,"style":1901},[362],[86,4281,4282,4285],{"style":1904},[86,4283],{"className":4284,"style":370},[369],[86,4286,4288],{"className":4287},[374,375,376,377],[86,4289,4291,4294,4297],{"className":4290},[130,377],[86,4292,736],{"className":4293},[130,131,377],[86,4295,751],{"className":4296},[166,377],[86,4298,522],{"className":4299},[130,377],[86,4301,4302,4305],{"style":365},[86,4303],{"className":4304,"style":370},[369],[86,4306,4308],{"className":4307},[374,375,376,377],[86,4309,4311],{"className":4310},[130,377],[86,4312,1825],{"className":4313},[130,377],[86,4315,859],{"className":4316},[858],[86,4318,4320],{"className":4319},[358],[86,4321,4323],{"className":4322,"style":1946},[362],[86,4324],{}," を選ぶ。",[86,4327,4329,4342],{"className":4328},[89],[86,4330,4332],{"className":4331},[93],[95,4333,4334],{"xmlns":97},[99,4335,4336,4340],{},[102,4337,4338],{},[105,4339,189],{"mathvariant":188},[109,4341,192],{"encoding":111},[86,4343,4345],{"className":4344,"ariaHidden":117},[116],[86,4346,4348,4351],{"className":4347},[121],[86,4349],{"className":4350,"style":202},[125],[86,4352,189],{"className":4353},[130,206]," の中には集合は全部で ",[86,4356,4358,4371],{"className":4357},[89],[86,4359,4361],{"className":4360},[93],[95,4362,4363],{"xmlns":97},[99,4364,4365,4369],{},[102,4366,4367],{},[105,4368,3483],{},[109,4370,3483],{"encoding":111},[86,4372,4374],{"className":4373,"ariaHidden":117},[116],[86,4375,4377,4380],{"className":4376},[121],[86,4378],{"className":4379,"style":126},[125],[86,4381,3483],{"className":4382},[130,131]," 個しか存在せず、無限列 ",[86,4385,4387,4417],{"className":4386},[89],[86,4388,4390],{"className":4389},[93],[95,4391,4392],{"xmlns":97},[99,4393,4394,4414],{},[102,4395,4396,4402,4404,4410,4412],{},[730,4397,4398,4400],{},[105,4399,1806],{},[301,4401,522],{},[147,4403,756],{"separator":117},[730,4405,4406,4408],{},[105,4407,1806],{},[301,4409,303],{},[147,4411,756],{"separator":117},[147,4413,763],{},[109,4415,4416],{"encoding":111},"B_1, B_2, \\dots",[86,4418,4420],{"className":4419,"ariaHidden":117},[116],[86,4421,4423,4426,4466,4469,4472,4512,4515,4518],{"className":4422},[121],[86,4424],{"className":4425,"style":1200},[125],[86,4427,4429,4432],{"className":4428},[130],[86,4430,1806],{"className":4431,"style":1847},[130,131],[86,4433,4435],{"className":4434},[350],[86,4436,4438,4458],{"className":4437},[354,835],[86,4439,4441,4455],{"className":4440},[358],[86,4442,4444],{"className":4443,"style":1222},[362],[86,4445,4446,4449],{"style":1862},[86,4447],{"className":4448,"style":370},[369],[86,4450,4452],{"className":4451},[374,375,376,377],[86,4453,522],{"className":4454},[130,377],[86,4456,859],{"className":4457},[858],[86,4459,4461],{"className":4460},[358],[86,4462,4464],{"className":4463,"style":866},[362],[86,4465],{},[86,4467,756],{"className":4468},[918],[86,4470],{"className":4471,"style":922},[326],[86,4473,4475,4478],{"className":4474},[130],[86,4476,1806],{"className":4477,"style":1847},[130,131],[86,4479,4481],{"className":4480},[350],[86,4482,4484,4504],{"className":4483},[354,835],[86,4485,4487,4501],{"className":4486},[358],[86,4488,4490],{"className":4489,"style":1222},[362],[86,4491,4492,4495],{"style":1862},[86,4493],{"className":4494,"style":370},[369],[86,4496,4498],{"className":4497},[374,375,376,377],[86,4499,303],{"className":4500},[130,377],[86,4502,859],{"className":4503},[858],[86,4505,4507],{"className":4506},[358],[86,4508,4510],{"className":4509,"style":866},[362],[86,4511],{},[86,4513,756],{"className":4514},[918],[86,4516],{"className":4517,"style":922},[326],[86,4519,763],{"className":4520},[935]," の中には必ず同じ集合が何度も繰り返し登場する（鳩の巣原理）。",[75,4523,4524,4525,4553,4554,84,4754,4816],{},"列の中に登場する相異なる集合をすべて集めても高々 ",[86,4526,4528,4541],{"className":4527},[89],[86,4529,4531],{"className":4530},[93],[95,4532,4533],{"xmlns":97},[99,4534,4535,4539],{},[102,4536,4537],{},[105,4538,3483],{},[109,4540,3483],{"encoding":111},[86,4542,4544],{"className":4543,"ariaHidden":117},[116],[86,4545,4547,4550],{"className":4546},[121],[86,4548],{"className":4549,"style":126},[125],[86,4551,3483],{"className":4552},[130,131]," 個であるから、そこで、この無限列の中で実際に現れる異なる集合をすべて抜き出して、改めて ",[86,4555,4557,4597],{"className":4556},[89],[86,4558,4560],{"className":4559},[93],[95,4561,4562],{"xmlns":97},[99,4563,4564,4594],{},[102,4565,4566,4573,4575,4581,4583,4585,4587],{},[730,4567,4568,4571],{},[105,4569,4570],{},"C",[301,4572,522],{},[147,4574,756],{"separator":117},[730,4576,4577,4579],{},[105,4578,4570],{},[301,4580,303],{},[147,4582,756],{"separator":117},[147,4584,763],{},[147,4586,756],{"separator":117},[730,4588,4589,4591],{},[105,4590,4570],{},[105,4592,4593],{},"k",[109,4595,4596],{"encoding":111},"C_1, C_2, \\dots, C_k",[86,4598,4600],{"className":4599,"ariaHidden":117},[116],[86,4601,4603,4606,4648,4651,4654,4694,4697,4700,4703,4706,4709,4712],{"className":4602},[121],[86,4604],{"className":4605,"style":1200},[125],[86,4607,4609,4613],{"className":4608},[130],[86,4610,4570],{"className":4611,"style":4612},[130,131],"margin-right:0.0715em;",[86,4614,4616],{"className":4615},[350],[86,4617,4619,4640],{"className":4618},[354,835],[86,4620,4622,4637],{"className":4621},[358],[86,4623,4625],{"className":4624,"style":1222},[362],[86,4626,4628,4631],{"style":4627},"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;",[86,4629],{"className":4630,"style":370},[369],[86,4632,4634],{"className":4633},[374,375,376,377],[86,4635,522],{"className":4636},[130,377],[86,4638,859],{"className":4639},[858],[86,4641,4643],{"className":4642},[358],[86,4644,4646],{"className":4645,"style":866},[362],[86,4647],{},[86,4649,756],{"className":4650},[918],[86,4652],{"className":4653,"style":922},[326],[86,4655,4657,4660],{"className":4656},[130],[86,4658,4570],{"className":4659,"style":4612},[130,131],[86,4661,4663],{"className":4662},[350],[86,4664,4666,4686],{"className":4665},[354,835],[86,4667,4669,4683],{"className":4668},[358],[86,4670,4672],{"className":4671,"style":1222},[362],[86,4673,4674,4677],{"style":4627},[86,4675],{"className":4676,"style":370},[369],[86,4678,4680],{"className":4679},[374,375,376,377],[86,4681,303],{"className":4682},[130,377],[86,4684,859],{"className":4685},[858],[86,4687,4689],{"className":4688},[358],[86,4690,4692],{"className":4691,"style":866},[362],[86,4693],{},[86,4695,756],{"className":4696},[918],[86,4698],{"className":4699,"style":922},[326],[86,4701,763],{"className":4702},[935],[86,4704],{"className":4705,"style":922},[326],[86,4707,756],{"className":4708},[918],[86,4710],{"className":4711,"style":922},[326],[86,4713,4715,4718],{"className":4714},[130],[86,4716,4570],{"className":4717,"style":4612},[130,131],[86,4719,4721],{"className":4720},[350],[86,4722,4724,4746],{"className":4723},[354,835],[86,4725,4727,4743],{"className":4726},[358],[86,4728,4731],{"className":4729,"style":4730},[362],"height:0.3361em;",[86,4732,4733,4736],{"style":4627},[86,4734],{"className":4735,"style":370},[369],[86,4737,4739],{"className":4738},[374,375,376,377],[86,4740,4593],{"className":4741,"style":4742},[130,131,377],"margin-right:0.0315em;",[86,4744,859],{"className":4745},[858],[86,4747,4749],{"className":4748},[358],[86,4750,4752],{"className":4751,"style":866},[362],[86,4753],{},[86,4755,4757,4780],{"className":4756},[89],[86,4758,4760],{"className":4759},[93],[95,4761,4762],{"xmlns":97},[99,4763,4764,4777],{},[102,4765,4766,4768,4770,4773,4775],{},[147,4767,515],{"stretchy":746},[105,4769,4593],{},[147,4771,4772],{},"≤",[105,4774,3483],{},[147,4776,526],{"stretchy":746},[109,4778,4779],{"encoding":111},"(k \\leq m)",[86,4781,4783,4804],{"className":4782,"ariaHidden":117},[116],[86,4784,4786,4789,4792,4795,4798,4801],{"className":4785},[121],[86,4787],{"className":4788,"style":507},[125],[86,4790,515],{"className":4791},[893],[86,4793,4593],{"className":4794,"style":4742},[130,131],[86,4796],{"className":4797,"style":327},[326],[86,4799,4772],{"className":4800},[166],[86,4802],{"className":4803,"style":327},[326],[86,4805,4807,4810,4813],{"className":4806},[121],[86,4808],{"className":4809,"style":507},[125],[86,4811,3483],{"className":4812},[130,131],[86,4814,526],{"className":4815},[942]," と名づける。これより、",[86,4818,4820],{"className":4819},[415],[86,4821,4823,4905],{"className":4822},[89],[86,4824,4826],{"className":4825},[93],[95,4827,4828],{"xmlns":97,"display":424},[99,4829,4830,4902],{},[102,4831,4832,4846,4852,4854,4860,4862,4868,4870,4872,4874,4880,4882,4896],{},[2812,4833,4834,4836,4844],{},[147,4835,780],{},[102,4837,4838,4840,4842],{},[105,4839,736],{},[147,4841,751],{},[301,4843,522],{},[105,4845,1825],{"mathvariant":447},[730,4847,4848,4850],{},[105,4849,1806],{},[105,4851,736],{},[147,4853,751],{},[730,4855,4856,4858],{},[105,4857,4570],{},[301,4859,522],{},[147,4861,1170],{},[730,4863,4864,4866],{},[105,4865,4570],{},[301,4867,303],{},[147,4869,1170],{},[147,4871,2856],{},[147,4873,1170],{},[730,4875,4876,4878],{},[105,4877,4570],{},[105,4879,4593],{},[147,4881,751],{},[2812,4883,4884,4886,4894],{},[147,4885,780],{},[102,4887,4888,4890,4892],{},[105,4889,276],{},[147,4891,751],{},[301,4893,522],{},[105,4895,4593],{},[730,4897,4898,4900],{},[105,4899,4570],{},[105,4901,276],{},[109,4903,4904],{"encoding":111},"\\bigcup_{n=1}^{\\infty} B_n = C_1 \\cup C_2 \\cup \\cdots \\cup C_k = \\bigcup_{i=1}^{k} C_i",[86,4906,4908,5033,5088,5143,5162,5217],{"className":4907,"ariaHidden":117},[116],[86,4909,4911,4914,4981,4984,5024,5027,5030],{"className":4910},[121],[86,4912],{"className":4913,"style":2892},[125],[86,4915,4917],{"className":4916},[968,969],[86,4918,4920,4973],{"className":4919},[354,835],[86,4921,4923,4970],{"className":4922},[358],[86,4924,4926,4946,4956],{"className":4925,"style":2905},[362],[86,4927,4928,4931],{"style":982},[86,4929],{"className":4930,"style":986},[369],[86,4932,4934],{"className":4933},[374,375,376,377],[86,4935,4937,4940,4943],{"className":4936},[130,377],[86,4938,736],{"className":4939},[130,131,377],[86,4941,751],{"className":4942},[166,377],[86,4944,522],{"className":4945},[130,377],[86,4947,4948,4951],{"style":1004},[86,4949],{"className":4950,"style":986},[369],[86,4952,4953],{},[86,4954,780],{"className":4955},[968,1013,1014],[86,4957,4958,4961],{"style":2938},[86,4959],{"className":4960,"style":986},[369],[86,4962,4964],{"className":4963},[374,375,376,377],[86,4965,4967],{"className":4966},[130,377],[86,4968,1825],{"className":4969},[130,377],[86,4971,859],{"className":4972},[858],[86,4974,4976],{"className":4975},[358],[86,4977,4979],{"className":4978,"style":2960},[362],[86,4980],{},[86,4982],{"className":4983,"style":922},[326],[86,4985,4987,4990],{"className":4986},[130],[86,4988,1806],{"className":4989,"style":1847},[130,131],[86,4991,4993],{"className":4992},[350],[86,4994,4996,5016],{"className":4995},[354,835],[86,4997,4999,5013],{"className":4998},[358],[86,5000,5002],{"className":5001,"style":842},[362],[86,5003,5004,5007],{"style":1862},[86,5005],{"className":5006,"style":370},[369],[86,5008,5010],{"className":5009},[374,375,376,377],[86,5011,736],{"className":5012},[130,131,377],[86,5014,859],{"className":5015},[858],[86,5017,5019],{"className":5018},[358],[86,5020,5022],{"className":5021,"style":866},[362],[86,5023],{},[86,5025],{"className":5026,"style":327},[326],[86,5028,751],{"className":5029},[166],[86,5031],{"className":5032,"style":327},[326],[86,5034,5036,5039,5079,5082,5085],{"className":5035},[121],[86,5037],{"className":5038,"style":819},[125],[86,5040,5042,5045],{"className":5041},[130],[86,5043,4570],{"className":5044,"style":4612},[130,131],[86,5046,5048],{"className":5047},[350],[86,5049,5051,5071],{"className":5050},[354,835],[86,5052,5054,5068],{"className":5053},[358],[86,5055,5057],{"className":5056,"style":1222},[362],[86,5058,5059,5062],{"style":4627},[86,5060],{"className":5061,"style":370},[369],[86,5063,5065],{"className":5064},[374,375,376,377],[86,5066,522],{"className":5067},[130,377],[86,5069,859],{"className":5070},[858],[86,5072,5074],{"className":5073},[358],[86,5075,5077],{"className":5076,"style":866},[362],[86,5078],{},[86,5080],{"className":5081,"style":648},[326],[86,5083,1170],{"className":5084},[652],[86,5086],{"className":5087,"style":648},[326],[86,5089,5091,5094,5134,5137,5140],{"className":5090},[121],[86,5092],{"className":5093,"style":819},[125],[86,5095,5097,5100],{"className":5096},[130],[86,5098,4570],{"className":5099,"style":4612},[130,131],[86,5101,5103],{"className":5102},[350],[86,5104,5106,5126],{"className":5105},[354,835],[86,5107,5109,5123],{"className":5108},[358],[86,5110,5112],{"className":5111,"style":1222},[362],[86,5113,5114,5117],{"style":4627},[86,5115],{"className":5116,"style":370},[369],[86,5118,5120],{"className":5119},[374,375,376,377],[86,5121,303],{"className":5122},[130,377],[86,5124,859],{"className":5125},[858],[86,5127,5129],{"className":5128},[358],[86,5130,5132],{"className":5131,"style":866},[362],[86,5133],{},[86,5135],{"className":5136,"style":648},[326],[86,5138,1170],{"className":5139},[652],[86,5141],{"className":5142,"style":648},[326],[86,5144,5146,5150,5153,5156,5159],{"className":5145},[121],[86,5147],{"className":5148,"style":5149},[125],"height:0.5556em;",[86,5151,2856],{"className":5152},[935],[86,5154],{"className":5155,"style":648},[326],[86,5157,1170],{"className":5158},[652],[86,5160],{"className":5161,"style":648},[326],[86,5163,5165,5168,5208,5211,5214],{"className":5164},[121],[86,5166],{"className":5167,"style":819},[125],[86,5169,5171,5174],{"className":5170},[130],[86,5172,4570],{"className":5173,"style":4612},[130,131],[86,5175,5177],{"className":5176},[350],[86,5178,5180,5200],{"className":5179},[354,835],[86,5181,5183,5197],{"className":5182},[358],[86,5184,5186],{"className":5185,"style":4730},[362],[86,5187,5188,5191],{"style":4627},[86,5189],{"className":5190,"style":370},[369],[86,5192,5194],{"className":5193},[374,375,376,377],[86,5195,4593],{"className":5196,"style":4742},[130,131,377],[86,5198,859],{"className":5199},[858],[86,5201,5203],{"className":5202},[358],[86,5204,5206],{"className":5205,"style":866},[362],[86,5207],{},[86,5209],{"className":5210,"style":327},[326],[86,5212,751],{"className":5213},[166],[86,5215],{"className":5216,"style":327},[326],[86,5218,5220,5224,5294,5297],{"className":5219},[121],[86,5221],{"className":5222,"style":5223},[125],"height:3.1138em;vertical-align:-1.2777em;",[86,5225,5227],{"className":5226},[968,969],[86,5228,5230,5285],{"className":5229},[354,835],[86,5231,5233,5282],{"className":5232},[358],[86,5234,5237,5258,5268],{"className":5235,"style":5236},[362],"height:1.8361em;",[86,5238,5240,5243],{"style":5239},"top:-1.8723em;margin-left:0em;",[86,5241],{"className":5242,"style":986},[369],[86,5244,5246],{"className":5245},[374,375,376,377],[86,5247,5249,5252,5255],{"className":5248},[130,377],[86,5250,276],{"className":5251},[130,131,377],[86,5253,751],{"className":5254},[166,377],[86,5256,522],{"className":5257},[130,377],[86,5259,5260,5263],{"style":1004},[86,5261],{"className":5262,"style":986},[369],[86,5264,5265],{},[86,5266,780],{"className":5267},[968,1013,1014],[86,5269,5270,5273],{"style":2938},[86,5271],{"className":5272,"style":986},[369],[86,5274,5276],{"className":5275},[374,375,376,377],[86,5277,5279],{"className":5278},[130,377],[86,5280,4593],{"className":5281,"style":4742},[130,131,377],[86,5283,859],{"className":5284},[858],[86,5286,5288],{"className":5287},[358],[86,5289,5292],{"className":5290,"style":5291},[362],"height:1.2777em;",[86,5293],{},[86,5295],{"className":5296,"style":922},[326],[86,5298,5300,5303],{"className":5299},[130],[86,5301,4570],{"className":5302,"style":4612},[130,131],[86,5304,5306],{"className":5305},[350],[86,5307,5309,5330],{"className":5308},[354,835],[86,5310,5312,5327],{"className":5311},[358],[86,5313,5316],{"className":5314,"style":5315},[362],"height:0.3117em;",[86,5317,5318,5321],{"style":4627},[86,5319],{"className":5320,"style":370},[369],[86,5322,5324],{"className":5323},[374,375,376,377],[86,5325,276],{"className":5326},[130,131,377],[86,5328,859],{"className":5329},[858],[86,5331,5333],{"className":5332},[358],[86,5334,5336],{"className":5335,"style":866},[362],[86,5337],{},[75,5339,5340,5341,5411,5412,382,5441,5533,5534,5562],{},"と書き換えられる。また、",[86,5342,5344,5362],{"className":5343},[89],[86,5345,5347],{"className":5346},[93],[95,5348,5349],{"xmlns":97},[99,5350,5351,5359],{},[102,5352,5353],{},[730,5354,5355,5357],{},[105,5356,4570],{},[105,5358,276],{},[109,5360,5361],{"encoding":111},"C_i",[86,5363,5365],{"className":5364,"ariaHidden":117},[116],[86,5366,5368,5371],{"className":5367},[121],[86,5369],{"className":5370,"style":819},[125],[86,5372,5374,5377],{"className":5373},[130],[86,5375,4570],{"className":5376,"style":4612},[130,131],[86,5378,5380],{"className":5379},[350],[86,5381,5383,5403],{"className":5382},[354,835],[86,5384,5386,5400],{"className":5385},[358],[86,5387,5389],{"className":5388,"style":5315},[362],[86,5390,5391,5394],{"style":4627},[86,5392],{"className":5393,"style":370},[369],[86,5395,5397],{"className":5396},[374,375,376,377],[86,5398,276],{"className":5399},[130,131,377],[86,5401,859],{"className":5402},[858],[86,5404,5406],{"className":5405},[358],[86,5407,5409],{"className":5408,"style":866},[362],[86,5410],{}," は集合である以上、各 ",[86,5413,5415,5428],{"className":5414},[89],[86,5416,5418],{"className":5417},[93],[95,5419,5420],{"xmlns":97},[99,5421,5422,5426],{},[102,5423,5424],{},[105,5425,276],{},[109,5427,276],{"encoding":111},[86,5429,5431],{"className":5430,"ariaHidden":117},[116],[86,5432,5434,5438],{"className":5433},[121],[86,5435],{"className":5436,"style":5437},[125],"height:0.6595em;",[86,5439,276],{"className":5440},[130,131],[86,5442,5444,5466],{"className":5443},[89],[86,5445,5447],{"className":5446},[93],[95,5448,5449],{"xmlns":97},[99,5450,5451,5463],{},[102,5452,5453,5459,5461],{},[730,5454,5455,5457],{},[105,5456,4570],{},[105,5458,276],{},[147,5460,451],{},[105,5462,189],{"mathvariant":188},[109,5464,5465],{"encoding":111},"C_i \\in \\mathcal{A}",[86,5467,5469,5524],{"className":5468,"ariaHidden":117},[116],[86,5470,5472,5475,5515,5518,5521],{"className":5471},[121],[86,5473],{"className":5474,"style":819},[125],[86,5476,5478,5481],{"className":5477},[130],[86,5479,4570],{"className":5480,"style":4612},[130,131],[86,5482,5484],{"className":5483},[350],[86,5485,5487,5507],{"className":5486},[354,835],[86,5488,5490,5504],{"className":5489},[358],[86,5491,5493],{"className":5492,"style":5315},[362],[86,5494,5495,5498],{"style":4627},[86,5496],{"className":5497,"style":370},[369],[86,5499,5501],{"className":5500},[374,375,376,377],[86,5502,276],{"className":5503},[130,131,377],[86,5505,859],{"className":5506},[858],[86,5508,5510],{"className":5509},[358],[86,5511,5513],{"className":5512,"style":866},[362],[86,5514],{},[86,5516],{"className":5517,"style":327},[326],[86,5519,451],{"className":5520},[166],[86,5522],{"className":5523,"style":327},[326],[86,5525,5527,5530],{"className":5526},[121],[86,5528],{"className":5529,"style":202},[125],[86,5531,189],{"className":5532},[130,206]," であり、仮定で ",[86,5535,5537,5550],{"className":5536},[89],[86,5538,5540],{"className":5539},[93],[95,5541,5542],{"xmlns":97},[99,5543,5544,5548],{},[102,5545,5546],{},[105,5547,189],{"mathvariant":188},[109,5549,192],{"encoding":111},[86,5551,5553],{"className":5552,"ariaHidden":117},[116],[86,5554,5556,5559],{"className":5555},[121],[86,5557],{"className":5558,"style":202},[125],[86,5560,189],{"className":5561},[130,206]," は有限加法族であるから、",[86,5564,5566],{"className":5565},[415],[86,5567,5569,5607],{"className":5568},[89],[86,5570,5572],{"className":5571},[93],[95,5573,5574],{"xmlns":97,"display":424},[99,5575,5576,5604],{},[102,5577,5578,5592,5598,5600,5602],{},[2812,5579,5580,5582,5590],{},[147,5581,780],{},[102,5583,5584,5586,5588],{},[105,5585,276],{},[147,5587,751],{},[301,5589,522],{},[105,5591,4593],{},[730,5593,5594,5596],{},[105,5595,4570],{},[105,5597,276],{},[147,5599,451],{},[105,5601,189],{"mathvariant":188},[105,5603,2879],{"mathvariant":447},[109,5605,5606],{"encoding":111},"\\bigcup_{i=1}^{k} C_i \\in \\mathcal{A}.",[86,5608,5610,5735],{"className":5609,"ariaHidden":117},[116],[86,5611,5613,5616,5683,5686,5726,5729,5732],{"className":5612},[121],[86,5614],{"className":5615,"style":5223},[125],[86,5617,5619],{"className":5618},[968,969],[86,5620,5622,5675],{"className":5621},[354,835],[86,5623,5625,5672],{"className":5624},[358],[86,5626,5628,5648,5658],{"className":5627,"style":5236},[362],[86,5629,5630,5633],{"style":5239},[86,5631],{"className":5632,"style":986},[369],[86,5634,5636],{"className":5635},[374,375,376,377],[86,5637,5639,5642,5645],{"className":5638},[130,377],[86,5640,276],{"className":5641},[130,131,377],[86,5643,751],{"className":5644},[166,377],[86,5646,522],{"className":5647},[130,377],[86,5649,5650,5653],{"style":1004},[86,5651],{"className":5652,"style":986},[369],[86,5654,5655],{},[86,5656,780],{"className":5657},[968,1013,1014],[86,5659,5660,5663],{"style":2938},[86,5661],{"className":5662,"style":986},[369],[86,5664,5666],{"className":5665},[374,375,376,377],[86,5667,5669],{"className":5668},[130,377],[86,5670,4593],{"className":5671,"style":4742},[130,131,377],[86,5673,859],{"className":5674},[858],[86,5676,5678],{"className":5677},[358],[86,5679,5681],{"className":5680,"style":5291},[362],[86,5682],{},[86,5684],{"className":5685,"style":922},[326],[86,5687,5689,5692],{"className":5688},[130],[86,5690,4570],{"className":5691,"style":4612},[130,131],[86,5693,5695],{"className":5694},[350],[86,5696,5698,5718],{"className":5697},[354,835],[86,5699,5701,5715],{"className":5700},[358],[86,5702,5704],{"className":5703,"style":5315},[362],[86,5705,5706,5709],{"style":4627},[86,5707],{"className":5708,"style":370},[369],[86,5710,5712],{"className":5711},[374,375,376,377],[86,5713,276],{"className":5714},[130,131,377],[86,5716,859],{"className":5717},[858],[86,5719,5721],{"className":5720},[358],[86,5722,5724],{"className":5723,"style":866},[362],[86,5725],{},[86,5727],{"className":5728,"style":327},[326],[86,5730,451],{"className":5731},[166],[86,5733],{"className":5734,"style":327},[326],[86,5736,5738,5741,5744],{"className":5737},[121],[86,5739],{"className":5740,"style":202},[125],[86,5742,189],{"className":5743},[130,206],[86,5745,2879],{"className":5746},[130],[75,5748,5749],{},[86,5750,5752,5767],{"className":5751},[89],[86,5753,5755],{"className":5754},[93],[95,5756,5757],{"xmlns":97},[99,5758,5759,5764],{},[102,5760,5761],{},[105,5762,5763],{"mathvariant":447},"■",[109,5765,5766],{"encoding":111},"\\blacksquare",[86,5768,5770],{"className":5769,"ariaHidden":117},[116],[86,5771,5773,5777],{"className":5772},[121],[86,5774],{"className":5775,"style":5776},[125],"height:0.675em;",[86,5778,5763],{"className":5779},[130,5780],"amsrm",{"title":5782,"searchDepth":5783,"depth":5783,"links":5784},"",2,[5785],{"id":272,"depth":5783,"text":272,"children":5786},[5787,5789],{"id":276,"depth":5788,"text":83},3,{"id":3285,"depth":5788,"text":172},"σ-加法族","md",{"create_date":5793,"updated_date":5793},"2026-06-18",true,{"title":34,"description":5790},[19,5790],"GHa_IBHFr4pzyuRUPoiKEfse-PzL7nitq6u3OfVBNAA",{"id":5799,"title":38,"body":5800,"date":62,"description":5790,"extension":5791,"meta":11538,"navigation":5794,"path":39,"seo":11539,"stem":40,"tags":11540,"__hash__":11541},"articles\u002Farticles\u002F数学\u002F測度論\u002Fσ-加法族\u002F問\u002F1.1.2.md",{"type":67,"value":5801,"toc":11525},[5802,5805,5888,6197,6550,6581,6684,6784,6787,6789,6791,6997,7028,7289,7788,7983,8353,8356,8389,9133,9136,9138,9445,9488,10378,10381,10412,11492,11495],[70,5803,38],{"id":5804},"_112",[75,5806,5807,5887],{},[86,5808,5810,5831],{"className":5809},[89],[86,5811,5813],{"className":5812},[93],[95,5814,5815],{"xmlns":97},[99,5816,5817,5829],{},[102,5818,5819,5821,5823],{},[105,5820,189],{"mathvariant":188},[147,5822,296],{},[298,5824,5825,5827],{},[301,5826,303],{},[105,5828,306],{},[109,5830,309],{"encoding":111},[86,5832,5834,5852],{"className":5833,"ariaHidden":117},[116],[86,5835,5837,5840,5843,5846,5849],{"className":5836},[121],[86,5838],{"className":5839,"style":319},[125],[86,5841,189],{"className":5842},[130,206],[86,5844],{"className":5845,"style":327},[326],[86,5847,296],{"className":5848},[166],[86,5850],{"className":5851,"style":327},[326],[86,5853,5855,5858],{"className":5854},[121],[86,5856],{"className":5857,"style":340},[125],[86,5859,5861,5864],{"className":5860},[130],[86,5862,303],{"className":5863},[130],[86,5865,5867],{"className":5866},[350],[86,5868,5870],{"className":5869},[354],[86,5871,5873],{"className":5872},[358],[86,5874,5876],{"className":5875,"style":340},[362],[86,5877,5878,5881],{"style":365},[86,5879],{"className":5880,"style":370},[369],[86,5882,5884],{"className":5883},[374,375,376,377],[86,5885,306],{"className":5886,"style":381},[130,131,377]," に対し、次の条件を考える：",[86,5889,5891],{"className":5890},[415],[86,5892,5894,5965],{"className":5893},[89],[86,5895,5897],{"className":5896},[93],[95,5898,5899],{"xmlns":97,"display":424},[99,5900,5901,5962],{},[102,5902,5903,5905,5908,5910,5912,5918,5920,5922,5924,5926,5928,5941,5947,5949,5951,5953,5955,5957,5960],{},[147,5904,515],{"stretchy":746},[301,5906,5907],{},"1.6",[147,5909,526],{"stretchy":746},[326,5911],{"width":444},[730,5913,5914,5916],{},[105,5915,189],{},[105,5917,736],{},[147,5919,451],{},[105,5921,189],{"mathvariant":188},[459,5923,560],{},[147,5925,563],{},[459,5927,560],{},[776,5929,5930,5933],{},[147,5931,5932],{},"⋂",[102,5934,5935,5937,5939],{},[105,5936,736],{},[147,5938,787],{},[301,5940,522],{},[730,5942,5943,5945],{},[105,5944,189],{},[105,5946,736],{},[147,5948,451],{},[105,5950,189],{"mathvariant":188},[105,5952,2879],{"mathvariant":447},[326,5954],{"width":444},[147,5956,515],{"stretchy":746},[459,5958,5959],{},"可算交差で閉じる",[147,5961,526],{"stretchy":746},[109,5963,5964],{"encoding":111},"(1.6) \\quad A_n \\in \\mathcal{A} \\implies \\bigcap_{n \\geq 1} A_n \\in \\mathcal{A}. \\quad (\\text{可算交差で閉じる})",[86,5966,5968,6035,6059,6170],{"className":5967,"ariaHidden":117},[116],[86,5969,5971,5974,5977,5980,5983,5986,6026,6029,6032],{"className":5970},[121],[86,5972],{"className":5973,"style":507},[125],[86,5975,515],{"className":5976},[893],[86,5978,5907],{"className":5979},[130],[86,5981,526],{"className":5982},[942],[86,5984],{"className":5985,"style":478},[326],[86,5987,5989,5992],{"className":5988},[130],[86,5990,189],{"className":5991},[130,131],[86,5993,5995],{"className":5994},[350],[86,5996,5998,6018],{"className":5997},[354,835],[86,5999,6001,6015],{"className":6000},[358],[86,6002,6004],{"className":6003,"style":842},[362],[86,6005,6006,6009],{"style":845},[86,6007],{"className":6008,"style":370},[369],[86,6010,6012],{"className":6011},[374,375,376,377],[86,6013,736],{"className":6014},[130,131,377],[86,6016,859],{"className":6017},[858],[86,6019,6021],{"className":6020},[358],[86,6022,6024],{"className":6023,"style":866},[362],[86,6025],{},[86,6027],{"className":6028,"style":327},[326],[86,6030,451],{"className":6031},[166],[86,6033],{"className":6034,"style":327},[326],[86,6036,6038,6041,6044,6047,6050,6053,6056],{"className":6037},[121],[86,6039],{"className":6040,"style":617},[125],[86,6042,189],{"className":6043},[130,206],[86,6045],{"className":6046,"style":327},[326],[86,6048],{"className":6049,"style":327},[326],[86,6051,563],{"className":6052},[166],[86,6054],{"className":6055,"style":327},[326],[86,6057],{"className":6058,"style":327},[326],[86,6060,6062,6065,6118,6121,6161,6164,6167],{"className":6061},[121],[86,6063],{"className":6064,"style":964},[125],[86,6066,6068],{"className":6067},[968,969],[86,6069,6071,6110],{"className":6070},[354,835],[86,6072,6074,6107],{"className":6073},[358],[86,6075,6077,6097],{"className":6076,"style":979},[362],[86,6078,6079,6082],{"style":982},[86,6080],{"className":6081,"style":986},[369],[86,6083,6085],{"className":6084},[374,375,376,377],[86,6086,6088,6091,6094],{"className":6087},[130,377],[86,6089,736],{"className":6090},[130,131,377],[86,6092,787],{"className":6093},[166,377],[86,6095,522],{"className":6096},[130,377],[86,6098,6099,6102],{"style":1004},[86,6100],{"className":6101,"style":986},[369],[86,6103,6104],{},[86,6105,5932],{"className":6106},[968,1013,1014],[86,6108,859],{"className":6109},[858],[86,6111,6113],{"className":6112},[358],[86,6114,6116],{"className":6115,"style":1024},[362],[86,6117],{},[86,6119],{"className":6120,"style":922},[326],[86,6122,6124,6127],{"className":6123},[130],[86,6125,189],{"className":6126},[130,131],[86,6128,6130],{"className":6129},[350],[86,6131,6133,6153],{"className":6132},[354,835],[86,6134,6136,6150],{"className":6135},[358],[86,6137,6139],{"className":6138,"style":842},[362],[86,6140,6141,6144],{"style":845},[86,6142],{"className":6143,"style":370},[369],[86,6145,6147],{"className":6146},[374,375,376,377],[86,6148,736],{"className":6149},[130,131,377],[86,6151,859],{"className":6152},[858],[86,6154,6156],{"className":6155},[358],[86,6157,6159],{"className":6158,"style":866},[362],[86,6160],{},[86,6162],{"className":6163,"style":327},[326],[86,6165,451],{"className":6166},[166],[86,6168],{"className":6169,"style":327},[326],[86,6171,6173,6176,6179,6182,6185,6188,6194],{"className":6172},[121],[86,6174],{"className":6175,"style":507},[125],[86,6177,189],{"className":6178},[130,206],[86,6180,2879],{"className":6181},[130],[86,6183],{"className":6184,"style":478},[326],[86,6186,515],{"className":6187},[893],[86,6189,6191],{"className":6190},[130,511],[86,6192,5959],{"className":6193},[130,3697],[86,6195,526],{"className":6196},[942],[86,6198,6200],{"className":6199},[415],[86,6201,6203,6276],{"className":6202},[89],[86,6204,6206],{"className":6205},[93],[95,6207,6208],{"xmlns":97,"display":424},[99,6209,6210,6273],{},[102,6211,6212,6214,6217,6219,6221,6227,6229,6235,6237,6239,6241,6243,6245,6251,6254,6260,6262,6264,6266,6268,6271],{},[147,6213,515],{"stretchy":746},[301,6215,6216],{},"1.7",[147,6218,526],{"stretchy":746},[326,6220],{"width":444},[730,6222,6223,6225],{},[105,6224,189],{},[301,6226,522],{},[147,6228,756],{"separator":117},[730,6230,6231,6233],{},[105,6232,189],{},[301,6234,303],{},[147,6236,451],{},[105,6238,189],{"mathvariant":188},[459,6240,560],{},[147,6242,563],{},[459,6244,560],{},[730,6246,6247,6249],{},[105,6248,189],{},[301,6250,522],{},[147,6252,6253],{},"∩",[730,6255,6256,6258],{},[105,6257,189],{},[301,6259,303],{},[147,6261,451],{},[105,6263,189],{"mathvariant":188},[326,6265],{"width":444},[147,6267,515],{"stretchy":746},[459,6269,6270],{},"有限交差で閉じる",[147,6272,526],{"stretchy":746},[109,6274,6275],{"encoding":111},"(1.7) \\quad A_1, A_2 \\in \\mathcal{A} \\implies A_1 \\cap A_2 \\in \\mathcal{A} \\quad (\\text{有限交差で閉じる})",[86,6277,6279,6392,6416,6471,6526],{"className":6278,"ariaHidden":117},[116],[86,6280,6282,6285,6288,6291,6294,6297,6337,6340,6343,6383,6386,6389],{"className":6281},[121],[86,6283],{"className":6284,"style":507},[125],[86,6286,515],{"className":6287},[893],[86,6289,6216],{"className":6290},[130],[86,6292,526],{"className":6293},[942],[86,6295],{"className":6296,"style":478},[326],[86,6298,6300,6303],{"className":6299},[130],[86,6301,189],{"className":6302},[130,131],[86,6304,6306],{"className":6305},[350],[86,6307,6309,6329],{"className":6308},[354,835],[86,6310,6312,6326],{"className":6311},[358],[86,6313,6315],{"className":6314,"style":1222},[362],[86,6316,6317,6320],{"style":845},[86,6318],{"className":6319,"style":370},[369],[86,6321,6323],{"className":6322},[374,375,376,377],[86,6324,522],{"className":6325},[130,377],[86,6327,859],{"className":6328},[858],[86,6330,6332],{"className":6331},[358],[86,6333,6335],{"className":6334,"style":866},[362],[86,6336],{},[86,6338,756],{"className":6339},[918],[86,6341],{"className":6342,"style":922},[326],[86,6344,6346,6349],{"className":6345},[130],[86,6347,189],{"className":6348},[130,131],[86,6350,6352],{"className":6351},[350],[86,6353,6355,6375],{"className":6354},[354,835],[86,6356,6358,6372],{"className":6357},[358],[86,6359,6361],{"className":6360,"style":1222},[362],[86,6362,6363,6366],{"style":845},[86,6364],{"className":6365,"style":370},[369],[86,6367,6369],{"className":6368},[374,375,376,377],[86,6370,303],{"className":6371},[130,377],[86,6373,859],{"className":6374},[858],[86,6376,6378],{"className":6377},[358],[86,6379,6381],{"className":6380,"style":866},[362],[86,6382],{},[86,6384],{"className":6385,"style":327},[326],[86,6387,451],{"className":6388},[166],[86,6390],{"className":6391,"style":327},[326],[86,6393,6395,6398,6401,6404,6407,6410,6413],{"className":6394},[121],[86,6396],{"className":6397,"style":617},[125],[86,6399,189],{"className":6400},[130,206],[86,6402],{"className":6403,"style":327},[326],[86,6405],{"className":6406,"style":327},[326],[86,6408,563],{"className":6409},[166],[86,6411],{"className":6412,"style":327},[326],[86,6414],{"className":6415,"style":327},[326],[86,6417,6419,6422,6462,6465,6468],{"className":6418},[121],[86,6420],{"className":6421,"style":819},[125],[86,6423,6425,6428],{"className":6424},[130],[86,6426,189],{"className":6427},[130,131],[86,6429,6431],{"className":6430},[350],[86,6432,6434,6454],{"className":6433},[354,835],[86,6435,6437,6451],{"className":6436},[358],[86,6438,6440],{"className":6439,"style":1222},[362],[86,6441,6442,6445],{"style":845},[86,6443],{"className":6444,"style":370},[369],[86,6446,6448],{"className":6447},[374,375,376,377],[86,6449,522],{"className":6450},[130,377],[86,6452,859],{"className":6453},[858],[86,6455,6457],{"className":6456},[358],[86,6458,6460],{"className":6459,"style":866},[362],[86,6461],{},[86,6463],{"className":6464,"style":648},[326],[86,6466,6253],{"className":6467},[652],[86,6469],{"className":6470,"style":648},[326],[86,6472,6474,6477,6517,6520,6523],{"className":6473},[121],[86,6475],{"className":6476,"style":819},[125],[86,6478,6480,6483],{"className":6479},[130],[86,6481,189],{"className":6482},[130,131],[86,6484,6486],{"className":6485},[350],[86,6487,6489,6509],{"className":6488},[354,835],[86,6490,6492,6506],{"className":6491},[358],[86,6493,6495],{"className":6494,"style":1222},[362],[86,6496,6497,6500],{"style":845},[86,6498],{"className":6499,"style":370},[369],[86,6501,6503],{"className":6502},[374,375,376,377],[86,6504,303],{"className":6505},[130,377],[86,6507,859],{"className":6508},[858],[86,6510,6512],{"className":6511},[358],[86,6513,6515],{"className":6514,"style":866},[362],[86,6516],{},[86,6518],{"className":6519,"style":327},[326],[86,6521,451],{"className":6522},[166],[86,6524],{"className":6525,"style":327},[326],[86,6527,6529,6532,6535,6538,6541,6547],{"className":6528},[121],[86,6530],{"className":6531,"style":507},[125],[86,6533,189],{"className":6534},[130,206],[86,6536],{"className":6537,"style":478},[326],[86,6539,515],{"className":6540},[893],[86,6542,6544],{"className":6543},[130,511],[86,6545,6270],{"className":6546},[130,3697],[86,6548,526],{"className":6549},[942],[75,6551,6552,6580],{},[86,6553,6555,6568],{"className":6554},[89],[86,6556,6558],{"className":6557},[93],[95,6559,6560],{"xmlns":97},[99,6561,6562,6566],{},[102,6563,6564],{},[105,6565,189],{"mathvariant":188},[109,6567,192],{"encoding":111},[86,6569,6571],{"className":6570,"ariaHidden":117},[116],[86,6572,6574,6577],{"className":6573},[121],[86,6575],{"className":6576,"style":202},[125],[86,6578,189],{"className":6579},[130,206]," が補集合で閉じると仮定するとき、",[75,6582,6583,84,6585,6613,6614,84,6655,6683],{},[81,6584,83],{},[86,6586,6588,6601],{"className":6587},[89],[86,6589,6591],{"className":6590},[93],[95,6592,6593],{"xmlns":97},[99,6594,6595,6599],{},[102,6596,6597],{},[105,6598,189],{"mathvariant":188},[109,6600,192],{"encoding":111},[86,6602,6604],{"className":6603,"ariaHidden":117},[116],[86,6605,6607,6610],{"className":6606},[121],[86,6608],{"className":6609,"style":202},[125],[86,6611,189],{"className":6612},[130,206]," が可算和で閉じる ",[86,6615,6617,6636],{"className":6616},[89],[86,6618,6620],{"className":6619},[93],[95,6621,6622],{"xmlns":97},[99,6623,6624,6633],{},[102,6625,6626,6628,6631],{},[459,6627,560],{},[147,6629,6630],{},"⟺",[459,6632,560],{},[109,6634,6635],{"encoding":111},"\\iff",[86,6637,6639],{"className":6638,"ariaHidden":117},[116],[86,6640,6642,6646,6649,6652],{"className":6641},[121],[86,6643],{"className":6644,"style":6645},[125],"height:0.549em;vertical-align:-0.024em;",[86,6647],{"className":6648,"style":327},[326],[86,6650,6630],{"className":6651},[166],[86,6653],{"className":6654,"style":327},[326],[86,6656,6658,6671],{"className":6657},[89],[86,6659,6661],{"className":6660},[93],[95,6662,6663],{"xmlns":97},[99,6664,6665,6669],{},[102,6666,6667],{},[105,6668,189],{"mathvariant":188},[109,6670,192],{"encoding":111},[86,6672,6674],{"className":6673,"ariaHidden":117},[116],[86,6675,6677,6680],{"className":6676},[121],[86,6678],{"className":6679,"style":202},[125],[86,6681,189],{"className":6682},[130,206]," が可算交差で閉じる",[75,6685,6686,84,6688,6716,6717,84,6755,6783],{},[81,6687,172],{},[86,6689,6691,6704],{"className":6690},[89],[86,6692,6694],{"className":6693},[93],[95,6695,6696],{"xmlns":97},[99,6697,6698,6702],{},[102,6699,6700],{},[105,6701,189],{"mathvariant":188},[109,6703,192],{"encoding":111},[86,6705,6707],{"className":6706,"ariaHidden":117},[116],[86,6708,6710,6713],{"className":6709},[121],[86,6711],{"className":6712,"style":202},[125],[86,6714,189],{"className":6715},[130,206]," が有限和で閉じる ",[86,6718,6720,6737],{"className":6719},[89],[86,6721,6723],{"className":6722},[93],[95,6724,6725],{"xmlns":97},[99,6726,6727,6735],{},[102,6728,6729,6731,6733],{},[459,6730,560],{},[147,6732,6630],{},[459,6734,560],{},[109,6736,6635],{"encoding":111},[86,6738,6740],{"className":6739,"ariaHidden":117},[116],[86,6741,6743,6746,6749,6752],{"className":6742},[121],[86,6744],{"className":6745,"style":6645},[125],[86,6747],{"className":6748,"style":327},[326],[86,6750,6630],{"className":6751},[166],[86,6753],{"className":6754,"style":327},[326],[86,6756,6758,6771],{"className":6757},[89],[86,6759,6761],{"className":6760},[93],[95,6762,6763],{"xmlns":97},[99,6764,6765,6769],{},[102,6766,6767],{},[105,6768,189],{"mathvariant":188},[109,6770,192],{"encoding":111},[86,6772,6774],{"className":6773,"ariaHidden":117},[116],[86,6775,6777,6780],{"className":6776},[121],[86,6778],{"className":6779,"style":202},[125],[86,6781,189],{"className":6782},[130,206]," が有限交差で閉じる",[75,6785,6786],{},"を示せ.",[267,6788],{},[270,6790,83],{"id":276},[75,6792,6793,6794,6886,6887,6996],{},"まず、「補集合で閉じる」とは「",[86,6795,6797,6819],{"className":6796},[89],[86,6798,6800],{"className":6799},[93],[95,6801,6802],{"xmlns":97},[99,6803,6804,6816],{},[102,6805,6806,6812,6814],{},[730,6807,6808,6810],{},[105,6809,189],{},[105,6811,736],{},[147,6813,451],{},[105,6815,189],{"mathvariant":188},[109,6817,6818],{"encoding":111},"A_n \\in \\mathcal{A}",[86,6820,6822,6877],{"className":6821,"ariaHidden":117},[116],[86,6823,6825,6828,6868,6871,6874],{"className":6824},[121],[86,6826],{"className":6827,"style":819},[125],[86,6829,6831,6834],{"className":6830},[130],[86,6832,189],{"className":6833},[130,131],[86,6835,6837],{"className":6836},[350],[86,6838,6840,6860],{"className":6839},[354,835],[86,6841,6843,6857],{"className":6842},[358],[86,6844,6846],{"className":6845,"style":842},[362],[86,6847,6848,6851],{"style":845},[86,6849],{"className":6850,"style":370},[369],[86,6852,6854],{"className":6853},[374,375,376,377],[86,6855,736],{"className":6856},[130,131,377],[86,6858,859],{"className":6859},[858],[86,6861,6863],{"className":6862},[358],[86,6864,6866],{"className":6865,"style":866},[362],[86,6867],{},[86,6869],{"className":6870,"style":327},[326],[86,6872,451],{"className":6873},[166],[86,6875],{"className":6876,"style":327},[326],[86,6878,6880,6883],{"className":6879},[121],[86,6881],{"className":6882,"style":202},[125],[86,6884,189],{"className":6885},[130,206]," ならば ",[86,6888,6890,6915],{"className":6889},[89],[86,6891,6893],{"className":6892},[93],[95,6894,6895],{"xmlns":97},[99,6896,6897,6912],{},[102,6898,6899,6908,6910],{},[1810,6900,6901,6903,6905],{},[105,6902,189],{},[105,6904,736],{},[105,6906,6907],{},"c",[147,6909,451],{},[105,6911,189],{"mathvariant":188},[109,6913,6914],{"encoding":111},"A_n^c \\in \\mathcal{A}",[86,6916,6918,6987],{"className":6917,"ariaHidden":117},[116],[86,6919,6921,6925,6978,6981,6984],{"className":6920},[121],[86,6922],{"className":6923,"style":6924},[125],"height:0.9303em;vertical-align:-0.247em;",[86,6926,6928,6931],{"className":6927},[130],[86,6929,189],{"className":6930},[130,131],[86,6932,6934],{"className":6933},[350],[86,6935,6937,6969],{"className":6936},[354,835],[86,6938,6940,6966],{"className":6939},[358],[86,6941,6943,6955],{"className":6942,"style":1901},[362],[86,6944,6946,6949],{"style":6945},"top:-2.453em;margin-left:0em;margin-right:0.05em;",[86,6947],{"className":6948,"style":370},[369],[86,6950,6952],{"className":6951},[374,375,376,377],[86,6953,736],{"className":6954},[130,131,377],[86,6956,6957,6960],{"style":365},[86,6958],{"className":6959,"style":370},[369],[86,6961,6963],{"className":6962},[374,375,376,377],[86,6964,6907],{"className":6965},[130,131,377],[86,6967,859],{"className":6968},[858],[86,6970,6972],{"className":6971},[358],[86,6973,6976],{"className":6974,"style":6975},[362],"height:0.247em;",[86,6977],{},[86,6979],{"className":6980,"style":327},[326],[86,6982,451],{"className":6983},[166],[86,6985],{"className":6986,"style":327},[326],[86,6988,6990,6993],{"className":6989},[121],[86,6991],{"className":6992,"style":202},[125],[86,6994,189],{"className":6995},[130,206],"」ということである。これを仮定する。",[274,6998,7000,526],{"id":6999},"rightarrow",[86,7001,7003,7016],{"className":7002},[89],[86,7004,7006],{"className":7005},[93],[95,7007,7008],{"xmlns":97},[99,7009,7010,7014],{},[102,7011,7012],{},[147,7013,149],{},[109,7015,152],{"encoding":111},[86,7017,7019],{"className":7018,"ariaHidden":117},[116],[86,7020,7022,7025],{"className":7021},[121],[86,7023],{"className":7024,"style":162},[125],[86,7026,149],{"className":7027},[166],[75,7029,7030,7031,7288],{},"「可算和で閉じる」とは「",[86,7032,7034,7086],{"className":7033},[89],[86,7035,7037],{"className":7036},[93],[95,7038,7039],{"xmlns":97},[99,7040,7041,7083],{},[102,7042,7043,7049,7051,7053,7055,7057,7059],{},[730,7044,7045,7047],{},[105,7046,189],{},[105,7048,736],{},[147,7050,451],{},[105,7052,189],{"mathvariant":188},[459,7054,560],{},[147,7056,563],{},[459,7058,560],{},[3968,7060,7061,7073,7079,7081],{"scriptlevel":3970,"displaystyle":117},[776,7062,7063,7065],{},[147,7064,780],{},[102,7066,7067,7069,7071],{},[105,7068,736],{},[147,7070,787],{},[301,7072,522],{},[730,7074,7075,7077],{},[105,7076,189],{},[105,7078,736],{},[147,7080,451],{},[105,7082,189],{"mathvariant":188},[109,7084,7085],{"encoding":111},"A_n \\in \\mathcal{A} \\implies \\displaystyle\\bigcup_{n\\geq 1} A_n \\in \\mathcal{A}",[86,7087,7089,7144,7168,7279],{"className":7088,"ariaHidden":117},[116],[86,7090,7092,7095,7135,7138,7141],{"className":7091},[121],[86,7093],{"className":7094,"style":819},[125],[86,7096,7098,7101],{"className":7097},[130],[86,7099,189],{"className":7100},[130,131],[86,7102,7104],{"className":7103},[350],[86,7105,7107,7127],{"className":7106},[354,835],[86,7108,7110,7124],{"className":7109},[358],[86,7111,7113],{"className":7112,"style":842},[362],[86,7114,7115,7118],{"style":845},[86,7116],{"className":7117,"style":370},[369],[86,7119,7121],{"className":7120},[374,375,376,377],[86,7122,736],{"className":7123},[130,131,377],[86,7125,859],{"className":7126},[858],[86,7128,7130],{"className":7129},[358],[86,7131,7133],{"className":7132,"style":866},[362],[86,7134],{},[86,7136],{"className":7137,"style":327},[326],[86,7139,451],{"className":7140},[166],[86,7142],{"className":7143,"style":327},[326],[86,7145,7147,7150,7153,7156,7159,7162,7165],{"className":7146},[121],[86,7148],{"className":7149,"style":617},[125],[86,7151,189],{"className":7152},[130,206],[86,7154],{"className":7155,"style":327},[326],[86,7157],{"className":7158,"style":327},[326],[86,7160,563],{"className":7161},[166],[86,7163],{"className":7164,"style":327},[326],[86,7166],{"className":7167,"style":327},[326],[86,7169,7171,7174,7227,7230,7270,7273,7276],{"className":7170},[121],[86,7172],{"className":7173,"style":964},[125],[86,7175,7177],{"className":7176},[968,969],[86,7178,7180,7219],{"className":7179},[354,835],[86,7181,7183,7216],{"className":7182},[358],[86,7184,7186,7206],{"className":7185,"style":979},[362],[86,7187,7188,7191],{"style":982},[86,7189],{"className":7190,"style":986},[369],[86,7192,7194],{"className":7193},[374,375,376,377],[86,7195,7197,7200,7203],{"className":7196},[130,377],[86,7198,736],{"className":7199},[130,131,377],[86,7201,787],{"className":7202},[166,377],[86,7204,522],{"className":7205},[130,377],[86,7207,7208,7211],{"style":1004},[86,7209],{"className":7210,"style":986},[369],[86,7212,7213],{},[86,7214,780],{"className":7215},[968,1013,1014],[86,7217,859],{"className":7218},[858],[86,7220,7222],{"className":7221},[358],[86,7223,7225],{"className":7224,"style":1024},[362],[86,7226],{},[86,7228],{"className":7229,"style":922},[326],[86,7231,7233,7236],{"className":7232},[130],[86,7234,189],{"className":7235},[130,131],[86,7237,7239],{"className":7238},[350],[86,7240,7242,7262],{"className":7241},[354,835],[86,7243,7245,7259],{"className":7244},[358],[86,7246,7248],{"className":7247,"style":842},[362],[86,7249,7250,7253],{"style":845},[86,7251],{"className":7252,"style":370},[369],[86,7254,7256],{"className":7255},[374,375,376,377],[86,7257,736],{"className":7258},[130,131,377],[86,7260,859],{"className":7261},[858],[86,7263,7265],{"className":7264},[358],[86,7266,7268],{"className":7267,"style":866},[362],[86,7269],{},[86,7271],{"className":7272,"style":327},[326],[86,7274,451],{"className":7275},[166],[86,7277],{"className":7278,"style":327},[326],[86,7280,7282,7285],{"className":7281},[121],[86,7283],{"className":7284,"style":202},[125],[86,7286,189],{"className":7287},[130,206],"」である。",[75,7290,7291,7292,7362,7363,7391,7392,7496,7497,7580,7581,7609,7610,7787],{},"まず、各 ",[86,7293,7295,7313],{"className":7294},[89],[86,7296,7298],{"className":7297},[93],[95,7299,7300],{"xmlns":97},[99,7301,7302,7310],{},[102,7303,7304],{},[730,7305,7306,7308],{},[105,7307,189],{},[105,7309,736],{},[109,7311,7312],{"encoding":111},"A_n",[86,7314,7316],{"className":7315,"ariaHidden":117},[116],[86,7317,7319,7322],{"className":7318},[121],[86,7320],{"className":7321,"style":819},[125],[86,7323,7325,7328],{"className":7324},[130],[86,7326,189],{"className":7327},[130,131],[86,7329,7331],{"className":7330},[350],[86,7332,7334,7354],{"className":7333},[354,835],[86,7335,7337,7351],{"className":7336},[358],[86,7338,7340],{"className":7339,"style":842},[362],[86,7341,7342,7345],{"style":845},[86,7343],{"className":7344,"style":370},[369],[86,7346,7348],{"className":7347},[374,375,376,377],[86,7349,736],{"className":7350},[130,131,377],[86,7352,859],{"className":7353},[858],[86,7355,7357],{"className":7356},[358],[86,7358,7360],{"className":7359,"style":866},[362],[86,7361],{}," は ",[86,7364,7366,7379],{"className":7365},[89],[86,7367,7369],{"className":7368},[93],[95,7370,7371],{"xmlns":97},[99,7372,7373,7377],{},[102,7374,7375],{},[105,7376,189],{"mathvariant":188},[109,7378,192],{"encoding":111},[86,7380,7382],{"className":7381,"ariaHidden":117},[116],[86,7383,7385,7388],{"className":7384},[121],[86,7386],{"className":7387,"style":202},[125],[86,7389,189],{"className":7390},[130,206]," に属するので、それぞれの補集合も仮定より ",[86,7393,7395,7418],{"className":7394},[89],[86,7396,7398],{"className":7397},[93],[95,7399,7400],{"xmlns":97},[99,7401,7402,7416],{},[102,7403,7404,7412,7414],{},[1810,7405,7406,7408,7410],{},[105,7407,189],{},[105,7409,736],{},[105,7411,6907],{},[147,7413,451],{},[105,7415,189],{"mathvariant":188},[109,7417,6914],{"encoding":111},[86,7419,7421,7487],{"className":7420,"ariaHidden":117},[116],[86,7422,7424,7427,7478,7481,7484],{"className":7423},[121],[86,7425],{"className":7426,"style":6924},[125],[86,7428,7430,7433],{"className":7429},[130],[86,7431,189],{"className":7432},[130,131],[86,7434,7436],{"className":7435},[350],[86,7437,7439,7470],{"className":7438},[354,835],[86,7440,7442,7467],{"className":7441},[358],[86,7443,7445,7456],{"className":7444,"style":1901},[362],[86,7446,7447,7450],{"style":6945},[86,7448],{"className":7449,"style":370},[369],[86,7451,7453],{"className":7452},[374,375,376,377],[86,7454,736],{"className":7455},[130,131,377],[86,7457,7458,7461],{"style":365},[86,7459],{"className":7460,"style":370},[369],[86,7462,7464],{"className":7463},[374,375,376,377],[86,7465,6907],{"className":7466},[130,131,377],[86,7468,859],{"className":7469},[858],[86,7471,7473],{"className":7472},[358],[86,7474,7476],{"className":7475,"style":6975},[362],[86,7477],{},[86,7479],{"className":7480,"style":327},[326],[86,7482,451],{"className":7483},[166],[86,7485],{"className":7486,"style":327},[326],[86,7488,7490,7493],{"className":7489},[121],[86,7491],{"className":7492,"style":202},[125],[86,7494,189],{"className":7495},[130,206],"。各 ",[86,7498,7500,7520],{"className":7499},[89],[86,7501,7503],{"className":7502},[93],[95,7504,7505],{"xmlns":97},[99,7506,7507,7517],{},[102,7508,7509],{},[1810,7510,7511,7513,7515],{},[105,7512,189],{},[105,7514,736],{},[105,7516,6907],{},[109,7518,7519],{"encoding":111},"A_n^c",[86,7521,7523],{"className":7522,"ariaHidden":117},[116],[86,7524,7526,7529],{"className":7525},[121],[86,7527],{"className":7528,"style":6924},[125],[86,7530,7532,7535],{"className":7531},[130],[86,7533,189],{"className":7534},[130,131],[86,7536,7538],{"className":7537},[350],[86,7539,7541,7572],{"className":7540},[354,835],[86,7542,7544,7569],{"className":7543},[358],[86,7545,7547,7558],{"className":7546,"style":1901},[362],[86,7548,7549,7552],{"style":6945},[86,7550],{"className":7551,"style":370},[369],[86,7553,7555],{"className":7554},[374,375,376,377],[86,7556,736],{"className":7557},[130,131,377],[86,7559,7560,7563],{"style":365},[86,7561],{"className":7562,"style":370},[369],[86,7564,7566],{"className":7565},[374,375,376,377],[86,7567,6907],{"className":7568},[130,131,377],[86,7570,859],{"className":7571},[858],[86,7573,7575],{"className":7574},[358],[86,7576,7578],{"className":7577,"style":6975},[362],[86,7579],{}," も ",[86,7582,7584,7597],{"className":7583},[89],[86,7585,7587],{"className":7586},[93],[95,7588,7589],{"xmlns":97},[99,7590,7591,7595],{},[102,7592,7593],{},[105,7594,189],{"mathvariant":188},[109,7596,192],{"encoding":111},[86,7598,7600],{"className":7599,"ariaHidden":117},[116],[86,7601,7603,7606],{"className":7602},[121],[86,7604],{"className":7605,"style":202},[125],[86,7607,189],{"className":7608},[130,206]," に属するので、",[86,7611,7613,7651],{"className":7612},[89],[86,7614,7616],{"className":7615},[93],[95,7617,7618],{"xmlns":97},[99,7619,7620,7648],{},[102,7621,7622],{},[3968,7623,7624,7636,7644,7646],{"scriptlevel":3970,"displaystyle":117},[776,7625,7626,7628],{},[147,7627,780],{},[102,7629,7630,7632,7634],{},[105,7631,736],{},[147,7633,787],{},[301,7635,522],{},[1810,7637,7638,7640,7642],{},[105,7639,189],{},[105,7641,736],{},[105,7643,6907],{},[147,7645,451],{},[105,7647,189],{"mathvariant":188},[109,7649,7650],{"encoding":111},"\\displaystyle\\bigcup_{n \\geq 1} A_n^c \\in \\mathcal{A}",[86,7652,7654,7778],{"className":7653,"ariaHidden":117},[116],[86,7655,7657,7660,7713,7716,7769,7772,7775],{"className":7656},[121],[86,7658],{"className":7659,"style":964},[125],[86,7661,7663],{"className":7662},[968,969],[86,7664,7666,7705],{"className":7665},[354,835],[86,7667,7669,7702],{"className":7668},[358],[86,7670,7672,7692],{"className":7671,"style":979},[362],[86,7673,7674,7677],{"style":982},[86,7675],{"className":7676,"style":986},[369],[86,7678,7680],{"className":7679},[374,375,376,377],[86,7681,7683,7686,7689],{"className":7682},[130,377],[86,7684,736],{"className":7685},[130,131,377],[86,7687,787],{"className":7688},[166,377],[86,7690,522],{"className":7691},[130,377],[86,7693,7694,7697],{"style":1004},[86,7695],{"className":7696,"style":986},[369],[86,7698,7699],{},[86,7700,780],{"className":7701},[968,1013,1014],[86,7703,859],{"className":7704},[858],[86,7706,7708],{"className":7707},[358],[86,7709,7711],{"className":7710,"style":1024},[362],[86,7712],{},[86,7714],{"className":7715,"style":922},[326],[86,7717,7719,7722],{"className":7718},[130],[86,7720,189],{"className":7721},[130,131],[86,7723,7725],{"className":7724},[350],[86,7726,7728,7761],{"className":7727},[354,835],[86,7729,7731,7758],{"className":7730},[358],[86,7732,7735,7746],{"className":7733,"style":7734},[362],"height:0.7144em;",[86,7736,7737,7740],{"style":6945},[86,7738],{"className":7739,"style":370},[369],[86,7741,7743],{"className":7742},[374,375,376,377],[86,7744,736],{"className":7745},[130,131,377],[86,7747,7749,7752],{"style":7748},"top:-3.113em;margin-right:0.05em;",[86,7750],{"className":7751,"style":370},[369],[86,7753,7755],{"className":7754},[374,375,376,377],[86,7756,6907],{"className":7757},[130,131,377],[86,7759,859],{"className":7760},[858],[86,7762,7764],{"className":7763},[358],[86,7765,7767],{"className":7766,"style":6975},[362],[86,7768],{},[86,7770],{"className":7771,"style":327},[326],[86,7773,451],{"className":7774},[166],[86,7776],{"className":7777,"style":327},[326],[86,7779,7781,7784],{"className":7780},[121],[86,7782],{"className":7783,"style":202},[125],[86,7785,189],{"className":7786},[130,206],"。",[75,7789,7790,7791,7953,7954,7982],{},"よって、",[86,7792,7794,7830],{"className":7793},[89],[86,7795,7797],{"className":7796},[93],[95,7798,7799],{"xmlns":97},[99,7800,7801,7827],{},[102,7802,7803],{},[3968,7804,7805,7817,7823,7825],{"scriptlevel":3970,"displaystyle":117},[776,7806,7807,7809],{},[147,7808,780],{},[102,7810,7811,7813,7815],{},[105,7812,736],{},[147,7814,787],{},[301,7816,522],{},[730,7818,7819,7821],{},[105,7820,189],{},[105,7822,736],{},[147,7824,451],{},[105,7826,189],{"mathvariant":188},[109,7828,7829],{"encoding":111},"\\displaystyle\\bigcup_{n\\geq 1} A_n \\in \\mathcal{A}",[86,7831,7833,7944],{"className":7832,"ariaHidden":117},[116],[86,7834,7836,7839,7892,7895,7935,7938,7941],{"className":7835},[121],[86,7837],{"className":7838,"style":964},[125],[86,7840,7842],{"className":7841},[968,969],[86,7843,7845,7884],{"className":7844},[354,835],[86,7846,7848,7881],{"className":7847},[358],[86,7849,7851,7871],{"className":7850,"style":979},[362],[86,7852,7853,7856],{"style":982},[86,7854],{"className":7855,"style":986},[369],[86,7857,7859],{"className":7858},[374,375,376,377],[86,7860,7862,7865,7868],{"className":7861},[130,377],[86,7863,736],{"className":7864},[130,131,377],[86,7866,787],{"className":7867},[166,377],[86,7869,522],{"className":7870},[130,377],[86,7872,7873,7876],{"style":1004},[86,7874],{"className":7875,"style":986},[369],[86,7877,7878],{},[86,7879,780],{"className":7880},[968,1013,1014],[86,7882,859],{"className":7883},[858],[86,7885,7887],{"className":7886},[358],[86,7888,7890],{"className":7889,"style":1024},[362],[86,7891],{},[86,7893],{"className":7894,"style":922},[326],[86,7896,7898,7901],{"className":7897},[130],[86,7899,189],{"className":7900},[130,131],[86,7902,7904],{"className":7903},[350],[86,7905,7907,7927],{"className":7906},[354,835],[86,7908,7910,7924],{"className":7909},[358],[86,7911,7913],{"className":7912,"style":842},[362],[86,7914,7915,7918],{"style":845},[86,7916],{"className":7917,"style":370},[369],[86,7919,7921],{"className":7920},[374,375,376,377],[86,7922,736],{"className":7923},[130,131,377],[86,7925,859],{"className":7926},[858],[86,7928,7930],{"className":7929},[358],[86,7931,7933],{"className":7932,"style":866},[362],[86,7934],{},[86,7936],{"className":7937,"style":327},[326],[86,7939,451],{"className":7940},[166],[86,7942],{"className":7943,"style":327},[326],[86,7945,7947,7950],{"className":7946},[121],[86,7948],{"className":7949,"style":202},[125],[86,7951,189],{"className":7952},[130,206]," であるから、その全体の補集合も ",[86,7955,7957,7970],{"className":7956},[89],[86,7958,7960],{"className":7959},[93],[95,7961,7962],{"xmlns":97},[99,7963,7964,7968],{},[102,7965,7966],{},[105,7967,189],{"mathvariant":188},[109,7969,192],{"encoding":111},[86,7971,7973],{"className":7972,"ariaHidden":117},[116],[86,7974,7976,7979],{"className":7975},[121],[86,7977],{"className":7978,"style":202},[125],[86,7980,189],{"className":7981},[130,206]," に属するから、",[86,7984,7986],{"className":7985},[415],[86,7987,7989,8057],{"className":7988},[89],[86,7990,7992],{"className":7991},[93],[95,7993,7994],{"xmlns":97,"display":424},[99,7995,7996,8054],{},[102,7997,7998,8028,8030,8042,8048,8050,8052],{},[298,7999,8000,8026],{},[102,8001,8002,8004,8016,8024],{},[147,8003,515],{"fence":117},[776,8005,8006,8008],{},[147,8007,780],{},[102,8009,8010,8012,8014],{},[105,8011,736],{},[147,8013,787],{},[301,8015,522],{},[1810,8017,8018,8020,8022],{},[105,8019,189],{},[105,8021,736],{},[105,8023,6907],{},[147,8025,526],{"fence":117},[105,8027,6907],{},[147,8029,751],{},[776,8031,8032,8034],{},[147,8033,5932],{},[102,8035,8036,8038,8040],{},[105,8037,736],{},[147,8039,787],{},[301,8041,522],{},[730,8043,8044,8046],{},[105,8045,189],{},[105,8047,736],{},[147,8049,451],{},[105,8051,189],{"mathvariant":188},[105,8053,2879],{"mathvariant":447},[109,8055,8056],{"encoding":111},"\\left( \\bigcup_{n \\geq 1} A_n^c \\right)^c = \\bigcap_{n \\geq 1} A_n \\in \\mathcal{A}.",[86,8058,8060,8230,8341],{"className":8059,"ariaHidden":117},[116],[86,8061,8063,8067,8221,8224,8227],{"className":8062},[121],[86,8064],{"className":8065,"style":8066},[125],"height:3.1666em;vertical-align:-1.3623em;",[86,8068,8070,8196],{"className":8069},[935],[86,8071,8073,8083,8136,8139,8190],{"className":8072},[935],[86,8074,8078],{"className":8075,"style":8077},[893,8076],"delimcenter","top:0em;",[86,8079,515],{"className":8080},[8081,8082],"delimsizing","size4",[86,8084,8086],{"className":8085},[968,969],[86,8087,8089,8128],{"className":8088},[354,835],[86,8090,8092,8125],{"className":8091},[358],[86,8093,8095,8115],{"className":8094,"style":979},[362],[86,8096,8097,8100],{"style":982},[86,8098],{"className":8099,"style":986},[369],[86,8101,8103],{"className":8102},[374,375,376,377],[86,8104,8106,8109,8112],{"className":8105},[130,377],[86,8107,736],{"className":8108},[130,131,377],[86,8110,787],{"className":8111},[166,377],[86,8113,522],{"className":8114},[130,377],[86,8116,8117,8120],{"style":1004},[86,8118],{"className":8119,"style":986},[369],[86,8121,8122],{},[86,8123,780],{"className":8124},[968,1013,1014],[86,8126,859],{"className":8127},[858],[86,8129,8131],{"className":8130},[358],[86,8132,8134],{"className":8133,"style":1024},[362],[86,8135],{},[86,8137],{"className":8138,"style":922},[326],[86,8140,8142,8145],{"className":8141},[130],[86,8143,189],{"className":8144},[130,131],[86,8146,8148],{"className":8147},[350],[86,8149,8151,8182],{"className":8150},[354,835],[86,8152,8154,8179],{"className":8153},[358],[86,8155,8157,8168],{"className":8156,"style":7734},[362],[86,8158,8159,8162],{"style":6945},[86,8160],{"className":8161,"style":370},[369],[86,8163,8165],{"className":8164},[374,375,376,377],[86,8166,736],{"className":8167},[130,131,377],[86,8169,8170,8173],{"style":7748},[86,8171],{"className":8172,"style":370},[369],[86,8174,8176],{"className":8175},[374,375,376,377],[86,8177,6907],{"className":8178},[130,131,377],[86,8180,859],{"className":8181},[858],[86,8183,8185],{"className":8184},[358],[86,8186,8188],{"className":8187,"style":6975},[362],[86,8189],{},[86,8191,8193],{"className":8192,"style":8077},[942,8076],[86,8194,526],{"className":8195},[8081,8082],[86,8197,8199],{"className":8198},[350],[86,8200,8202],{"className":8201},[354],[86,8203,8205],{"className":8204},[358],[86,8206,8209],{"className":8207,"style":8208},[362],"height:1.8043em;",[86,8210,8212,8215],{"style":8211},"top:-4.2029em;margin-right:0.05em;",[86,8213],{"className":8214,"style":370},[369],[86,8216,8218],{"className":8217},[374,375,376,377],[86,8219,6907],{"className":8220},[130,131,377],[86,8222],{"className":8223,"style":327},[326],[86,8225,751],{"className":8226},[166],[86,8228],{"className":8229,"style":327},[326],[86,8231,8233,8236,8289,8292,8332,8335,8338],{"className":8232},[121],[86,8234],{"className":8235,"style":964},[125],[86,8237,8239],{"className":8238},[968,969],[86,8240,8242,8281],{"className":8241},[354,835],[86,8243,8245,8278],{"className":8244},[358],[86,8246,8248,8268],{"className":8247,"style":979},[362],[86,8249,8250,8253],{"style":982},[86,8251],{"className":8252,"style":986},[369],[86,8254,8256],{"className":8255},[374,375,376,377],[86,8257,8259,8262,8265],{"className":8258},[130,377],[86,8260,736],{"className":8261},[130,131,377],[86,8263,787],{"className":8264},[166,377],[86,8266,522],{"className":8267},[130,377],[86,8269,8270,8273],{"style":1004},[86,8271],{"className":8272,"style":986},[369],[86,8274,8275],{},[86,8276,5932],{"className":8277},[968,1013,1014],[86,8279,859],{"className":8280},[858],[86,8282,8284],{"className":8283},[358],[86,8285,8287],{"className":8286,"style":1024},[362],[86,8288],{},[86,8290],{"className":8291,"style":922},[326],[86,8293,8295,8298],{"className":8294},[130],[86,8296,189],{"className":8297},[130,131],[86,8299,8301],{"className":8300},[350],[86,8302,8304,8324],{"className":8303},[354,835],[86,8305,8307,8321],{"className":8306},[358],[86,8308,8310],{"className":8309,"style":842},[362],[86,8311,8312,8315],{"style":845},[86,8313],{"className":8314,"style":370},[369],[86,8316,8318],{"className":8317},[374,375,376,377],[86,8319,736],{"className":8320},[130,131,377],[86,8322,859],{"className":8323},[858],[86,8325,8327],{"className":8326},[358],[86,8328,8330],{"className":8329,"style":866},[362],[86,8331],{},[86,8333],{"className":8334,"style":327},[326],[86,8336,451],{"className":8337},[166],[86,8339],{"className":8340,"style":327},[326],[86,8342,8344,8347,8350],{"className":8343},[121],[86,8345],{"className":8346,"style":202},[125],[86,8348,189],{"className":8349},[130,206],[86,8351,2879],{"className":8352},[130],[75,8354,8355],{},"ゆえに成立つ。",[274,8357,8359,526],{"id":8358},"leftarrow",[86,8360,8362,8377],{"className":8361},[89],[86,8363,8365],{"className":8364},[93],[95,8366,8367],{"xmlns":97},[99,8368,8369,8374],{},[102,8370,8371],{},[147,8372,8373],{},"⇐",[109,8375,8376],{"encoding":111},"\\Leftarrow",[86,8378,8380],{"className":8379,"ariaHidden":117},[116],[86,8381,8383,8386],{"className":8382},[121],[86,8384],{"className":8385,"style":162},[125],[86,8387,8373],{"className":8388},[166],[8390,8391,8392,8591,8769],"ol",{},[1954,8393,8394,8395,8486,8487,2879],{},"仮定より 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だから 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\\cup A_2^c)^c = A_1 \\cap A_2 \\in 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\\cap A_2^c \\in \\mathcal{A}",[86,10772,10774,10840,10906],{"className":10773,"ariaHidden":117},[116],[86,10775,10777,10780,10831,10834,10837],{"className":10776},[121],[86,10778],{"className":10779,"style":9684},[125],[86,10781,10783,10786],{"className":10782},[130],[86,10784,189],{"className":10785},[130,131],[86,10787,10789],{"className":10788},[350],[86,10790,10792,10823],{"className":10791},[354,835],[86,10793,10795,10820],{"className":10794},[358],[86,10796,10798,10809],{"className":10797,"style":1901},[362],[86,10799,10800,10803],{"style":1904},[86,10801],{"className":10802,"style":370},[369],[86,10804,10806],{"className":10805},[374,375,376,377],[86,10807,522],{"className":10808},[130,377],[86,10810,10811,10814],{"style":365},[86,10812],{"className":10813,"style":370},[369],[86,10815,10817],{"className":10816},[374,375,376,377],[86,10818,6907],{"className":10819},[130,131,377],[86,10821,859],{"className":10822},[858],[86,10824,10826],{"className":10825},[358],[86,10827,10829],{"className":10828,"style":1946},[362],[86,10830],{},[86,10832],{"className":10833,"style":648},[326],[86,10835,6253],{"className":10836},[652],[86,10838],{"className":10839,"style":648},[326],[86,10841,10843,10846,10897,10900,10903],{"className":10842},[121],[86,10844],{"className":10845,"style":9684},[125],[86,10847,10849,10852],{"className":10848},[130],[86,10850,189],{"className":10851},[130,131],[86,10853,10855],{"className":10854},[350],[86,10856,10858,10889],{"className":10857},[354,835],[86,10859,10861,10886],{"className":10860},[358],[86,10862,10864,10875],{"className":10863,"style":1901},[362],[86,10865,10866,10869],{"style":1904},[86,10867],{"className":10868,"style":370},[369],[86,10870,10872],{"className":10871},[374,375,376,377],[86,10873,303],{"className":10874},[130,377],[86,10876,10877,10880],{"style":365},[86,10878],{"className":10879,"style":370},[369],[86,10881,10883],{"className":10882},[374,375,376,377],[86,10884,6907],{"className":10885},[130,131,377],[86,10887,859],{"className":10888},[858],[86,10890,10892],{"className":10891},[358],[86,10893,10895],{"className":10894,"style":1946},[362],[86,10896],{},[86,10898],{"className":10899,"style":327},[326],[86,10901,451],{"className":10902},[166],[86,10904],{"className":10905,"style":327},[326],[86,10907,10909,10912],{"className":10908},[121],[86,10910],{"className":10911,"style":202},[125],[86,10913,189],{"className":10914},[130,206],[1954,10916,10917,10918,11139,11140],{},"2.の　",[86,10919,10921,10963],{"className":10920},[89],[86,10922,10924],{"className":10923},[93],[95,10925,10926],{"xmlns":97},[99,10927,10928,10960],{},[102,10929,10930,10932,10940,10942,10950,10956,10958],{},[147,10931,515],{"stretchy":746},[1810,10933,10934,10936,10938],{},[105,10935,189],{},[301,10937,522],{},[105,10939,6907],{},[147,10941,6253],{},[1810,10943,10944,10946,10948],{},[105,10945,189],{},[301,10947,303],{},[105,10949,6907],{},[298,10951,10952,10954],{},[147,10953,526],{"stretchy":746},[105,10955,6907],{},[147,10957,451],{},[105,10959,189],{"mathvariant":188},[109,10961,10962],{"encoding":111},"(A_1^c \\cap A_2^c)^c \\in \\mathcal{A}",[86,10964,10966,11035,11130],{"className":10965,"ariaHidden":117},[116],[86,10967,10969,10972,10975,11026,11029,11032],{"className":10968},[121],[86,10970],{"className":10971,"style":507},[125],[86,10973,515],{"className":10974},[893],[86,10976,10978,10981],{"className":10977},[130],[86,10979,189],{"className":10980},[130,131],[86,10982,10984],{"className":10983},[350],[86,10985,10987,11018],{"className":10986},[354,835],[86,10988,10990,11015],{"className":10989},[358],[86,10991,10993,11004],{"className":10992,"style":1901},[362],[86,10994,10995,10998],{"style":1904},[86,10996],{"className":10997,"style":370},[369],[86,10999,11001],{"className":11000},[374,375,376,377],[86,11002,522],{"className":11003},[130,377],[86,11005,11006,11009],{"style":365},[86,11007],{"className":11008,"style":370},[369],[86,11010,11012],{"className":11011},[374,375,376,377],[86,11013,6907],{"className":11014},[130,131,377],[86,11016,859],{"className":11017},[858],[86,11019,11021],{"className":11020},[358],[86,11022,11024],{"className":11023,"style":1946},[362],[86,11025],{},[86,11027],{"className":11028,"style":648},[326],[86,11030,6253],{"className":11031},[652],[86,11033],{"className":11034,"style":648},[326],[86,11036,11038,11041,11092,11121,11124,11127],{"className":11037},[121],[86,11039],{"className":11040,"style":507},[125],[86,11042,11044,11047],{"className":11043},[130],[86,11045,189],{"className":11046},[130,131],[86,11048,11050],{"className":11049},[350],[86,11051,11053,11084],{"className":11052},[354,835],[86,11054,11056,11081],{"className":11055},[358],[86,11057,11059,11070],{"className":11058,"style":1901},[362],[86,11060,11061,11064],{"style":1904},[86,11062],{"className":11063,"style":370},[369],[86,11065,11067],{"className":11066},[374,375,376,377],[86,11068,303],{"className":11069},[130,377],[86,11071,11072,11075],{"style":365},[86,11073],{"className":11074,"style":370},[369],[86,11076,11078],{"className":11077},[374,375,376,377],[86,11079,6907],{"className":11080},[130,131,377],[86,11082,859],{"className":11083},[858],[86,11085,11087],{"className":11086},[358],[86,11088,11090],{"className":11089,"style":1946},[362],[86,11091],{},[86,11093,11095,11098],{"className":11094},[942],[86,11096,526],{"className":11097},[942],[86,11099,11101],{"className":11100},[350],[86,11102,11104],{"className":11103},[354],[86,11105,11107],{"className":11106},[358],[86,11108,11110],{"className":11109,"style":1901},[362],[86,11111,11112,11115],{"style":365},[86,11113],{"className":11114,"style":370},[369],[86,11116,11118],{"className":11117},[374,375,376,377],[86,11119,6907],{"className":11120},[130,131,377],[86,11122],{"className":11123,"style":327},[326],[86,11125,451],{"className":11126},[166],[86,11128],{"className":11129,"style":327},[326],[86,11131,11133,11136],{"className":11132},[121],[86,11134],{"className":11135,"style":202},[125],[86,11137,189],{"className":11138},[130,206]," より、",[86,11141,11143,11203],{"className":11142},[89],[86,11144,11146],{"className":11145},[93],[95,11147,11148],{"xmlns":97},[99,11149,11150,11200],{},[102,11151,11152,11154,11162,11164,11172,11178,11180,11186,11188,11194,11196,11198],{},[147,11153,515],{"stretchy":746},[1810,11155,11156,11158,11160],{},[105,11157,189],{},[301,11159,522],{},[105,11161,6907],{},[147,11163,6253],{},[1810,11165,11166,11168,11170],{},[105,11167,189],{},[301,11169,303],{},[105,11171,6907],{},[298,11173,11174,11176],{},[147,11175,526],{"stretchy":746},[105,11177,6907],{},[147,11179,751],{},[730,11181,11182,11184],{},[105,11183,189],{},[301,11185,522],{},[147,11187,1170],{},[730,11189,11190,11192],{},[105,11191,189],{},[301,11193,303],{},[147,11195,451],{},[105,11197,189],{"mathvariant":188},[105,11199,2879],{"mathvariant":447},[109,11201,11202],{"encoding":111},"(A_1^c \\cap A_2^c)^c = A_1 \\cup A_2 \\in \\mathcal{A}.",[86,11204,11206,11275,11370,11425,11480],{"className":11205,"ariaHidden":117},[116],[86,11207,11209,11212,11215,11266,11269,11272],{"className":11208},[121],[86,11210],{"className":11211,"style":507},[125],[86,11213,515],{"className":11214},[893],[86,11216,11218,11221],{"className":11217},[130],[86,11219,189],{"className":11220},[130,131],[86,11222,11224],{"className":11223},[350],[86,11225,11227,11258],{"className":11226},[354,835],[86,11228,11230,11255],{"className":11229},[358],[86,11231,11233,11244],{"className":11232,"style":1901},[362],[86,11234,11235,11238],{"style":1904},[86,11236],{"className":11237,"style":370},[369],[86,11239,11241],{"className":11240},[374,375,376,377],[86,11242,522],{"className":11243},[130,377],[86,11245,11246,11249],{"style":365},[86,11247],{"className":11248,"style":370},[369],[86,11250,11252],{"className":11251},[374,375,376,377],[86,11253,6907],{"className":11254},[130,131,377],[86,11256,859],{"className":11257},[858],[86,11259,11261],{"className":11260},[358],[86,11262,11264],{"className":11263,"style":1946},[362],[86,11265],{},[86,11267],{"className":11268,"style":648},[326],[86,11270,6253],{"className":11271},[652],[86,11273],{"className":11274,"style":648},[326],[86,11276,11278,11281,11332,11361,11364,11367],{"className":11277},[121],[86,11279],{"className":11280,"style":507},[125],[86,11282,11284,11287],{"className":11283},[130],[86,11285,189],{"className":11286},[130,131],[86,11288,11290],{"className":11289},[350],[86,11291,11293,11324],{"className":11292},[354,835],[86,11294,11296,11321],{"className":11295},[358],[86,11297,11299,11310],{"className":11298,"style":1901},[362],[86,11300,11301,11304],{"style":1904},[86,11302],{"className":11303,"style":370},[369],[86,11305,11307],{"className":11306},[374,375,376,377],[86,11308,303],{"className":11309},[130,377],[86,11311,11312,11315],{"style":365},[86,11313],{"className":11314,"style":370},[369],[86,11316,11318],{"className":11317},[374,375,376,377],[86,11319,6907],{"className":11320},[130,131,377],[86,11322,859],{"className":11323},[858],[86,11325,11327],{"className":11326},[358],[86,11328,11330],{"className":11329,"style":1946},[362],[86,11331],{},[86,11333,11335,11338],{"className":11334},[942],[86,11336,526],{"className":11337},[942],[86,11339,11341],{"className":11340},[350],[86,11342,11344],{"className":11343},[354],[86,11345,11347],{"className":11346},[358],[86,11348,11350],{"className":11349,"style":1901},[362],[86,11351,11352,11355],{"style":365},[86,11353],{"className":11354,"style":370},[369],[86,11356,11358],{"className":11357},[374,375,376,377],[86,11359,6907],{"className":11360},[130,131,377],[86,11362],{"className":11363,"style":327},[326],[86,11365,751],{"className":11366},[166],[86,11368],{"className":11369,"style":327},[326],[86,11371,11373,11376,11416,11419,11422],{"className":11372},[121],[86,11374],{"className":11375,"style":819},[125],[86,11377,11379,11382],{"className":11378},[130],[86,11380,189],{"className":11381},[130,131],[86,11383,11385],{"className":11384},[350],[86,11386,11388,11408],{"className":11387},[354,835],[86,11389,11391,11405],{"className":11390},[358],[86,11392,11394],{"className":11393,"style":1222},[362],[86,11395,11396,11399],{"style":845},[86,11397],{"className":11398,"style":370},[369],[86,11400,11402],{"className":11401},[374,375,376,377],[86,11403,522],{"className":11404},[130,377],[86,11406,859],{"className":11407},[858],[86,11409,11411],{"className":11410},[358],[86,11412,11414],{"className":11413,"style":866},[362],[86,11415],{},[86,11417],{"className":11418,"style":648},[326],[86,11420,1170],{"className":11421},[652],[86,11423],{"className":11424,"style":648},[326],[86,11426,11428,11431,11471,11474,11477],{"className":11427},[121],[86,11429],{"className":11430,"style":819},[125],[86,11432,11434,11437],{"className":11433},[130],[86,11435,189],{"className":11436},[130,131],[86,11438,11440],{"className":11439},[350],[86,11441,11443,11463],{"className":11442},[354,835],[86,11444,11446,11460],{"className":11445},[358],[86,11447,11449],{"className":11448,"style":1222},[362],[86,11450,11451,11454],{"style":845},[86,11452],{"className":11453,"style":370},[369],[86,11455,11457],{"className":11456},[374,375,376,377],[86,11458,303],{"className":11459},[130,377],[86,11461,859],{"className":11462},[858],[86,11464,11466],{"className":11465},[358],[86,11467,11469],{"className":11468,"style":866},[362],[86,11470],{},[86,11472],{"className":11473,"style":327},[326],[86,11475,451],{"className":11476},[166],[86,11478],{"className":11479,"style":327},[326],[86,11481,11483,11486,11489],{"className":11482},[121],[86,11484],{"className":11485,"style":202},[125],[86,11487,189],{"className":11488},[130,206],[86,11490,2879],{"className":11491},[130],[75,11493,11494],{},"よって成り立つ。",[75,11496,11497],{},[86,11498,11500,11513],{"className":11499},[89],[86,11501,11503],{"className":11502},[93],[95,11504,11505],{"xmlns":97},[99,11506,11507,11511],{},[102,11508,11509],{},[105,11510,5763],{"mathvariant":447},[109,11512,5766],{"encoding":111},[86,11514,11516],{"className":11515,"ariaHidden":117},[116],[86,11517,11519,11522],{"className":11518},[121],[86,11520],{"className":11521,"style":5776},[125],[86,11523,5763],{"className":11524},[130,5780],{"title":5782,"searchDepth":5783,"depth":5783,"links":11526},[11527,11533],{"id":276,"depth":5783,"text":83,"children":11528},[11529,11531],{"id":6999,"depth":5788,"text":11530},"⇒\\Rightarrow⇒)",{"id":8358,"depth":5788,"text":11532},"⇐\\Leftarrow⇐)",{"id":3285,"depth":5783,"text":172,"children":11534},[11535,11537],{"id":9447,"depth":5788,"text":11536},"⇒)\\Rightarrow)⇒)",{"id":10383,"depth":5788,"text":11532},{"create_date":5793,"updated_date":5793},{"title":38,"description":5790},[19,5790],"aCaY8hAHtt33e9g8Oub4DxxG2zgU8CupVxf6GGt-iKg",{"id":11543,"title":38,"body":11544,"date":62,"description":5790,"extension":5791,"meta":15360,"navigation":5794,"path":42,"seo":15361,"stem":43,"tags":15362,"__hash__":15363},"articles\u002Farticles\u002F数学\u002F測度論\u002Fσ-加法族\u002F問\u002F1.1.3.md",{"type":67,"value":11545,"toc":15356},[11546,11550,11760,11926,11929,12124,12372,12374,12611,13053,13675,13707,13710,13941,14243,14847,15053],[70,11547,11549],{"id":11548},"問113","問1.1.3",[75,11551,11552,11582,11583,11636,11637,11759],{},[86,11553,11555,11570],{"className":11554},[89],[86,11556,11558],{"className":11557},[93],[95,11559,11560],{"xmlns":97},[99,11561,11562,11567],{},[102,11563,11564],{},[105,11565,11566],{"mathvariant":447},"Λ",[109,11568,11569],{"encoding":111},"\\Lambda",[86,11571,11573],{"className":11572,"ariaHidden":117},[116],[86,11574,11576,11579],{"className":11575},[121],[86,11577],{"className":11578,"style":202},[125],[86,11580,11566],{"className":11581},[130]," は任意の添字集合．各 ",[86,11584,11586,11605],{"className":11585},[89],[86,11587,11589],{"className":11588},[93],[95,11590,11591],{"xmlns":97},[99,11592,11593,11602],{},[102,11594,11595,11598,11600],{},[105,11596,11597],{},"λ",[147,11599,451],{},[105,11601,11566],{"mathvariant":447},[109,11603,11604],{"encoding":111},"\\lambda \\in \\Lambda",[86,11606,11608,11627],{"className":11607,"ariaHidden":117},[116],[86,11609,11611,11615,11618,11621,11624],{"className":11610},[121],[86,11612],{"className":11613,"style":11614},[125],"height:0.7335em;vertical-align:-0.0391em;",[86,11616,11597],{"className":11617},[130,131],[86,11619],{"className":11620,"style":327},[326],[86,11622,451],{"className":11623},[166],[86,11625],{"className":11626,"style":327},[326],[86,11628,11630,11633],{"className":11629},[121],[86,11631],{"className":11632,"style":202},[125],[86,11634,11566],{"className":11635},[130]," に対し ",[86,11638,11640,11666],{"className":11639},[89],[86,11641,11643],{"className":11642},[93],[95,11644,11645],{"xmlns":97},[99,11646,11647,11663],{},[102,11648,11649,11655,11657],{},[730,11650,11651,11653],{},[105,11652,189],{"mathvariant":188},[105,11654,11597],{},[147,11656,296],{},[298,11658,11659,11661],{},[301,11660,303],{},[105,11662,306],{},[109,11664,11665],{"encoding":111},"\\mathcal{A}_\\lambda \\subset 2^S",[86,11667,11669,11724],{"className":11668,"ariaHidden":117},[116],[86,11670,11672,11675,11715,11718,11721],{"className":11671},[121],[86,11673],{"className":11674,"style":819},[125],[86,11676,11678,11681],{"className":11677},[130],[86,11679,189],{"className":11680},[130,206],[86,11682,11684],{"className":11683},[350],[86,11685,11687,11707],{"className":11686},[354,835],[86,11688,11690,11704],{"className":11689},[358],[86,11691,11693],{"className":11692,"style":4730},[362],[86,11694,11695,11698],{"style":845},[86,11696],{"className":11697,"style":370},[369],[86,11699,11701],{"className":11700},[374,375,376,377],[86,11702,11597],{"className":11703},[130,131,377],[86,11705,859],{"className":11706},[858],[86,11708,11710],{"className":11709},[358],[86,11711,11713],{"className":11712,"style":866},[362],[86,11714],{},[86,11716],{"className":11717,"style":327},[326],[86,11719,296],{"className":11720},[166],[86,11722],{"className":11723,"style":327},[326],[86,11725,11727,11730],{"className":11726},[121],[86,11728],{"className":11729,"style":340},[125],[86,11731,11733,11736],{"className":11732},[130],[86,11734,303],{"className":11735},[130],[86,11737,11739],{"className":11738},[350],[86,11740,11742],{"className":11741},[354],[86,11743,11745],{"className":11744},[358],[86,11746,11748],{"className":11747,"style":340},[362],[86,11749,11750,11753],{"style":365},[86,11751],{"className":11752,"style":370},[369],[86,11754,11756],{"className":11755},[374,375,376,377],[86,11757,306],{"className":11758,"style":381},[130,131,377],"，",[86,11761,11763],{"className":11762},[415],[86,11764,11766,11800],{"className":11765},[89],[86,11767,11769],{"className":11768},[93],[95,11770,11771],{"xmlns":97,"display":424},[99,11772,11773,11797],{},[102,11774,11775,11777,11779,11791],{},[105,11776,189],{"mathvariant":188},[147,11778,751],{},[776,11780,11781,11783],{},[147,11782,5932],{},[102,11784,11785,11787,11789],{},[105,11786,11597],{},[147,11788,451],{},[105,11790,11566],{"mathvariant":447},[730,11792,11793,11795],{},[105,11794,189],{"mathvariant":188},[105,11796,11597],{},[109,11798,11799],{"encoding":111},"\\mathcal{A} = \\bigcap_{\\lambda \\in \\Lambda} \\mathcal{A}_\\lambda",[86,11801,11803,11821],{"className":11802,"ariaHidden":117},[116],[86,11804,11806,11809,11812,11815,11818],{"className":11805},[121],[86,11807],{"className":11808,"style":202},[125],[86,11810,189],{"className":11811},[130,206],[86,11813],{"className":11814,"style":327},[326],[86,11816,751],{"className":11817},[166],[86,11819],{"className":11820,"style":327},[326],[86,11822,11824,11828,11883,11886],{"className":11823},[121],[86,11825],{"className":11826,"style":11827},[125],"height:2.3795em;vertical-align:-1.3295em;",[86,11829,11831],{"className":11830},[968,969],[86,11832,11834,11874],{"className":11833},[354,835],[86,11835,11837,11871],{"className":11836},[358],[86,11838,11840,11861],{"className":11839,"style":979},[362],[86,11841,11843,11846],{"style":11842},"top:-1.8479em;margin-left:0em;",[86,11844],{"className":11845,"style":986},[369],[86,11847,11849],{"className":11848},[374,375,376,377],[86,11850,11852,11855,11858],{"className":11851},[130,377],[86,11853,11597],{"className":11854},[130,131,377],[86,11856,451],{"className":11857},[166,377],[86,11859,11566],{"className":11860},[130,377],[86,11862,11863,11866],{"style":1004},[86,11864],{"className":11865,"style":986},[369],[86,11867,11868],{},[86,11869,5932],{"className":11870},[968,1013,1014],[86,11872,859],{"className":11873},[858],[86,11875,11877],{"className":11876},[358],[86,11878,11881],{"className":11879,"style":11880},[362],"height:1.3295em;",[86,11882],{},[86,11884],{"className":11885,"style":922},[326],[86,11887,11889,11892],{"className":11888},[130],[86,11890,189],{"className":11891},[130,206],[86,11893,11895],{"className":11894},[350],[86,11896,11898,11918],{"className":11897},[354,835],[86,11899,11901,11915],{"className":11900},[358],[86,11902,11904],{"className":11903,"style":4730},[362],[86,11905,11906,11909],{"style":845},[86,11907],{"className":11908,"style":370},[369],[86,11910,11912],{"className":11911},[374,375,376,377],[86,11913,11597],{"className":11914},[130,131,377],[86,11916,859],{"className":11917},[858],[86,11919,11921],{"className":11920},[358],[86,11922,11924],{"className":11923,"style":866},[362],[86,11925],{},[75,11927,11928],{},"とする．以下を示せ：",[75,11930,11931,11933,11934,11984,11985,12055,12056,84,12095,12123],{},[81,11932,172],{}," 全ての ",[86,11935,11937,11954],{"className":11936},[89],[86,11938,11940],{"className":11939},[93],[95,11941,11942],{"xmlns":97},[99,11943,11944,11952],{},[102,11945,11946,11948,11950],{},[105,11947,11597],{},[147,11949,451],{},[105,11951,11566],{"mathvariant":447},[109,11953,11604],{"encoding":111},[86,11955,11957,11975],{"className":11956,"ariaHidden":117},[116],[86,11958,11960,11963,11966,11969,11972],{"className":11959},[121],[86,11961],{"className":11962,"style":11614},[125],[86,11964,11597],{"className":11965},[130,131],[86,11967],{"className":11968,"style":327},[326],[86,11970,451],{"className":11971},[166],[86,11973],{"className":11974,"style":327},[326],[86,11976,11978,11981],{"className":11977},[121],[86,11979],{"className":11980,"style":202},[125],[86,11982,11566],{"className":11983},[130]," に対し，",[86,11986,11988,12006],{"className":11987},[89],[86,11989,11991],{"className":11990},[93],[95,11992,11993],{"xmlns":97},[99,11994,11995,12003],{},[102,11996,11997],{},[730,11998,11999,12001],{},[105,12000,189],{"mathvariant":188},[105,12002,11597],{},[109,12004,12005],{"encoding":111},"\\mathcal{A}_\\lambda",[86,12007,12009],{"className":12008,"ariaHidden":117},[116],[86,12010,12012,12015],{"className":12011},[121],[86,12013],{"className":12014,"style":819},[125],[86,12016,12018,12021],{"className":12017},[130],[86,12019,189],{"className":12020},[130,206],[86,12022,12024],{"className":12023},[350],[86,12025,12027,12047],{"className":12026},[354,835],[86,12028,12030,12044],{"className":12029},[358],[86,12031,12033],{"className":12032,"style":4730},[362],[86,12034,12035,12038],{"style":845},[86,12036],{"className":12037,"style":370},[369],[86,12039,12041],{"className":12040},[374,375,376,377],[86,12042,11597],{"className":12043},[130,131,377],[86,12045,859],{"className":12046},[858],[86,12048,12050],{"className":12049},[358],[86,12051,12053],{"className":12052,"style":866},[362],[86,12054],{}," が有限加法族 ",[86,12057,12059,12077],{"className":12058},[89],[86,12060,12062],{"className":12061},[93],[95,12063,12064],{"xmlns":97},[99,12065,12066,12074],{},[102,12067,12068,12070,12072],{},[459,12069,560],{},[147,12071,563],{},[459,12073,560],{},[109,12075,12076],{"encoding":111},"\\implies",[86,12078,12080],{"className":12079,"ariaHidden":117},[116],[86,12081,12083,12086,12089,12092],{"className":12082},[121],[86,12084],{"className":12085,"style":6645},[125],[86,12087],{"className":12088,"style":327},[326],[86,12090,563],{"className":12091},[166],[86,12093],{"className":12094,"style":327},[326],[86,12096,12098,12111],{"className":12097},[89],[86,12099,12101],{"className":12100},[93],[95,12102,12103],{"xmlns":97},[99,12104,12105,12109],{},[102,12106,12107],{},[105,12108,189],{"mathvariant":188},[109,12110,192],{"encoding":111},[86,12112,12114],{"className":12113,"ariaHidden":117},[116],[86,12115,12117,12120],{"className":12116},[121],[86,12118],{"className":12119,"style":202},[125],[86,12121,189],{"className":12122},[130,206]," もそう（有限加法族）",[75,12125,12126,11933,12129,11984,12179,3736,12248,133,12276,84,12314,12342,12343,12371],{},[81,12127,12128],{},"(iii)",[86,12130,12132,12149],{"className":12131},[89],[86,12133,12135],{"className":12134},[93],[95,12136,12137],{"xmlns":97},[99,12138,12139,12147],{},[102,12140,12141,12143,12145],{},[105,12142,11597],{},[147,12144,451],{},[105,12146,11566],{"mathvariant":447},[109,12148,11604],{"encoding":111},[86,12150,12152,12170],{"className":12151,"ariaHidden":117},[116],[86,12153,12155,12158,12161,12164,12167],{"className":12154},[121],[86,12156],{"className":12157,"style":11614},[125],[86,12159,11597],{"className":12160},[130,131],[86,12162],{"className":12163,"style":327},[326],[86,12165,451],{"className":12166},[166],[86,12168],{"className":12169,"style":327},[326],[86,12171,12173,12176],{"className":12172},[121],[86,12174],{"className":12175,"style":202},[125],[86,12177,11566],{"className":12178},[130],[86,12180,12182,12199],{"className":12181},[89],[86,12183,12185],{"className":12184},[93],[95,12186,12187],{"xmlns":97},[99,12188,12189,12197],{},[102,12190,12191],{},[730,12192,12193,12195],{},[105,12194,189],{"mathvariant":188},[105,12196,11597],{},[109,12198,12005],{"encoding":111},[86,12200,12202],{"className":12201,"ariaHidden":117},[116],[86,12203,12205,12208],{"className":12204},[121],[86,12206],{"className":12207,"style":819},[125],[86,12209,12211,12214],{"className":12210},[130],[86,12212,189],{"className":12213},[130,206],[86,12215,12217],{"className":12216},[350],[86,12218,12220,12240],{"className":12219},[354,835],[86,12221,12223,12237],{"className":12222},[358],[86,12224,12226],{"className":12225,"style":4730},[362],[86,12227,12228,12231],{"style":845},[86,12229],{"className":12230,"style":370},[369],[86,12232,12234],{"className":12233},[374,375,376,377],[86,12235,11597],{"className":12236},[130,131,377],[86,12238,859],{"className":12239},[858],[86,12241,12243],{"className":12242},[358],[86,12244,12246],{"className":12245,"style":866},[362],[86,12247],{},[86,12249,12251,12264],{"className":12250},[89],[86,12252,12254],{"className":12253},[93],[95,12255,12256],{"xmlns":97},[99,12257,12258,12262],{},[102,12259,12260],{},[105,12261,107],{},[109,12263,112],{"encoding":111},[86,12265,12267],{"className":12266,"ariaHidden":117},[116],[86,12268,12270,12273],{"className":12269},[121],[86,12271],{"className":12272,"style":126},[125],[86,12274,107],{"className":12275,"style":132},[130,131],[86,12277,12279,12296],{"className":12278},[89],[86,12280,12282],{"className":12281},[93],[95,12283,12284],{"xmlns":97},[99,12285,12286,12294],{},[102,12287,12288,12290,12292],{},[459,12289,560],{},[147,12291,563],{},[459,12293,560],{},[109,12295,12076],{"encoding":111},[86,12297,12299],{"className":12298,"ariaHidden":117},[116],[86,12300,12302,12305,12308,12311],{"className":12301},[121],[86,12303],{"className":12304,"style":6645},[125],[86,12306],{"className":12307,"style":327},[326],[86,12309,563],{"className":12310},[166],[86,12312],{"className":12313,"style":327},[326],[86,12315,12317,12330],{"className":12316},[89],[86,12318,12320],{"className":12319},[93],[95,12321,12322],{"xmlns":97},[99,12323,12324,12328],{},[102,12325,12326],{},[105,12327,189],{"mathvariant":188},[109,12329,192],{"encoding":111},[86,12331,12333],{"className":12332,"ariaHidden":117},[116],[86,12334,12336,12339],{"className":12335},[121],[86,12337],{"className":12338,"style":202},[125],[86,12340,189],{"className":12341},[130,206]," もそう（",[86,12344,12346,12359],{"className":12345},[89],[86,12347,12349],{"className":12348},[93],[95,12350,12351],{"xmlns":97},[99,12352,12353,12357],{},[102,12354,12355],{},[105,12356,107],{},[109,12358,112],{"encoding":111},[86,12360,12362],{"className":12361,"ariaHidden":117},[116],[86,12363,12365,12368],{"className":12364},[121],[86,12366],{"className":12367,"style":126},[125],[86,12369,107],{"className":12370,"style":132},[130,131],"-加法族）",[270,12373,172],{"id":3285},[75,12375,12376,12416,12417,11636,12467,12559,12560,12610],{},[86,12377,12379,12398],{"className":12378},[89],[86,12380,12382],{"className":12381},[93],[95,12383,12384],{"xmlns":97},[99,12385,12386,12395],{},[102,12387,12388,12390,12393],{},[147,12389,515],{"stretchy":746},[301,12391,12392],{},"1.1",[147,12394,526],{"stretchy":746},[109,12396,12397],{"encoding":111},"(1.1)",[86,12399,12401],{"className":12400,"ariaHidden":117},[116],[86,12402,12404,12407,12410,12413],{"className":12403},[121],[86,12405],{"className":12406,"style":507},[125],[86,12408,515],{"className":12409},[893],[86,12411,12392],{"className":12412},[130],[86,12414,526],{"className":12415},[942]," 任意の ",[86,12418,12420,12437],{"className":12419},[89],[86,12421,12423],{"className":12422},[93],[95,12424,12425],{"xmlns":97},[99,12426,12427,12435],{},[102,12428,12429,12431,12433],{},[105,12430,11597],{},[147,12432,451],{},[105,12434,11566],{"mathvariant":447},[109,12436,11604],{"encoding":111},[86,12438,12440,12458],{"className":12439,"ariaHidden":117},[116],[86,12441,12443,12446,12449,12452,12455],{"className":12442},[121],[86,12444],{"className":12445,"style":11614},[125],[86,12447,11597],{"className":12448},[130,131],[86,12450],{"className":12451,"style":327},[326],[86,12453,451],{"className":12454},[166],[86,12456],{"className":12457,"style":327},[326],[86,12459,12461,12464],{"className":12460},[121],[86,12462],{"className":12463,"style":202},[125],[86,12465,11566],{"className":12466},[130],[86,12468,12470,12492],{"className":12469},[89],[86,12471,12473],{"className":12472},[93],[95,12474,12475],{"xmlns":97},[99,12476,12477,12489],{},[102,12478,12479,12481,12483],{},[105,12480,448],{"mathvariant":447},[147,12482,451],{},[730,12484,12485,12487],{},[105,12486,189],{"mathvariant":188},[105,12488,11597],{},[109,12490,12491],{"encoding":111},"\\emptyset \\in \\mathcal{A}_\\lambda",[86,12493,12495,12513],{"className":12494,"ariaHidden":117},[116],[86,12496,12498,12501,12504,12507,12510],{"className":12497},[121],[86,12499],{"className":12500,"style":474},[125],[86,12502,448],{"className":12503},[130],[86,12505],{"className":12506,"style":327},[326],[86,12508,451],{"className":12509},[166],[86,12511],{"className":12512,"style":327},[326],[86,12514,12516,12519],{"className":12515},[121],[86,12517],{"className":12518,"style":819},[125],[86,12520,12522,12525],{"className":12521},[130],[86,12523,189],{"className":12524},[130,206],[86,12526,12528],{"className":12527},[350],[86,12529,12531,12551],{"className":12530},[354,835],[86,12532,12534,12548],{"className":12533},[358],[86,12535,12537],{"className":12536,"style":4730},[362],[86,12538,12539,12542],{"style":845},[86,12540],{"className":12541,"style":370},[369],[86,12543,12545],{"className":12544},[374,375,376,377],[86,12546,11597],{"className":12547},[130,131,377],[86,12549,859],{"className":12550},[858],[86,12552,12554],{"className":12553},[358],[86,12555,12557],{"className":12556,"style":866},[362],[86,12558],{}," なので ",[86,12561,12563,12580],{"className":12562},[89],[86,12564,12566],{"className":12565},[93],[95,12567,12568],{"xmlns":97},[99,12569,12570,12578],{},[102,12571,12572,12574,12576],{},[105,12573,448],{"mathvariant":447},[147,12575,451],{},[105,12577,189],{"mathvariant":188},[109,12579,2735],{"encoding":111},[86,12581,12583,12601],{"className":12582,"ariaHidden":117},[116],[86,12584,12586,12589,12592,12595,12598],{"className":12585},[121],[86,12587],{"className":12588,"style":474},[125],[86,12590,448],{"className":12591},[130],[86,12593],{"className":12594,"style":327},[326],[86,12596,451],{"className":12597},[166],[86,12599],{"className":12600,"style":327},[326],[86,12602,12604,12607],{"className":12603},[121],[86,12605],{"className":12606,"style":202},[125],[86,12608,189],{"className":12609},[130,206]," である．",[75,12612,12613,84,12653,12704,12705,382,12755,12847,12848,12970,12971,13052],{},[86,12614,12616,12635],{"className":12615},[89],[86,12617,12619],{"className":12618},[93],[95,12620,12621],{"xmlns":97},[99,12622,12623,12632],{},[102,12624,12625,12627,12630],{},[147,12626,515],{"stretchy":746},[301,12628,12629],{},"1.2",[147,12631,526],{"stretchy":746},[109,12633,12634],{"encoding":111},"(1.2)",[86,12636,12638],{"className":12637,"ariaHidden":117},[116],[86,12639,12641,12644,12647,12650],{"className":12640},[121],[86,12642],{"className":12643,"style":507},[125],[86,12645,515],{"className":12646},[893],[86,12648,12629],{"className":12649},[130],[86,12651,526],{"className":12652},[942],[86,12654,12656,12674],{"className":12655},[89],[86,12657,12659],{"className":12658},[93],[95,12660,12661],{"xmlns":97},[99,12662,12663,12671],{},[102,12664,12665,12667,12669],{},[105,12666,189],{},[147,12668,451],{},[105,12670,189],{"mathvariant":188},[109,12672,12673],{"encoding":111},"A \\in \\mathcal{A}",[86,12675,12677,12695],{"className":12676,"ariaHidden":117},[116],[86,12678,12680,12683,12686,12689,12692],{"className":12679},[121],[86,12681],{"className":12682,"style":319},[125],[86,12684,189],{"className":12685},[130,131],[86,12687],{"className":12688,"style":327},[326],[86,12690,451],{"className":12691},[166],[86,12693],{"className":12694,"style":327},[326],[86,12696,12698,12701],{"className":12697},[121],[86,12699],{"className":12700,"style":202},[125],[86,12702,189],{"className":12703},[130,206]," とする．このとき任意の ",[86,12706,12708,12725],{"className":12707},[89],[86,12709,12711],{"className":12710},[93],[95,12712,12713],{"xmlns":97},[99,12714,12715,12723],{},[102,12716,12717,12719,12721],{},[105,12718,11597],{},[147,12720,451],{},[105,12722,11566],{"mathvariant":447},[109,12724,11604],{"encoding":111},[86,12726,12728,12746],{"className":12727,"ariaHidden":117},[116],[86,12729,12731,12734,12737,12740,12743],{"className":12730},[121],[86,12732],{"className":12733,"style":11614},[125],[86,12735,11597],{"className":12736},[130,131],[86,12738],{"className":12739,"style":327},[326],[86,12741,451],{"className":12742},[166],[86,12744],{"className":12745,"style":327},[326],[86,12747,12749,12752],{"className":12748},[121],[86,12750],{"className":12751,"style":202},[125],[86,12753,11566],{"className":12754},[130],[86,12756,12758,12780],{"className":12757},[89],[86,12759,12761],{"className":12760},[93],[95,12762,12763],{"xmlns":97},[99,12764,12765,12777],{},[102,12766,12767,12769,12771],{},[105,12768,189],{},[147,12770,451],{},[730,12772,12773,12775],{},[105,12774,189],{"mathvariant":188},[105,12776,11597],{},[109,12778,12779],{"encoding":111},"A \\in \\mathcal{A}_\\lambda",[86,12781,12783,12801],{"className":12782,"ariaHidden":117},[116],[86,12784,12786,12789,12792,12795,12798],{"className":12785},[121],[86,12787],{"className":12788,"style":319},[125],[86,12790,189],{"className":12791},[130,131],[86,12793],{"className":12794,"style":327},[326],[86,12796,451],{"className":12797},[166],[86,12799],{"className":12800,"style":327},[326],[86,12802,12804,12807],{"className":12803},[121],[86,12805],{"className":12806,"style":819},[125],[86,12808,12810,12813],{"className":12809},[130],[86,12811,189],{"className":12812},[130,206],[86,12814,12816],{"className":12815},[350],[86,12817,12819,12839],{"className":12818},[354,835],[86,12820,12822,12836],{"className":12821},[358],[86,12823,12825],{"className":12824,"style":4730},[362],[86,12826,12827,12830],{"style":845},[86,12828],{"className":12829,"style":370},[369],[86,12831,12833],{"className":12832},[374,375,376,377],[86,12834,11597],{"className":12835},[130,131,377],[86,12837,859],{"className":12838},[858],[86,12840,12842],{"className":12841},[358],[86,12843,12845],{"className":12844,"style":866},[362],[86,12846],{}," であるので，",[86,12849,12851,12877],{"className":12850},[89],[86,12852,12854],{"className":12853},[93],[95,12855,12856],{"xmlns":97},[99,12857,12858,12874],{},[102,12859,12860,12866,12868],{},[298,12861,12862,12864],{},[105,12863,189],{},[105,12865,6907],{},[147,12867,451],{},[730,12869,12870,12872],{},[105,12871,189],{"mathvariant":188},[105,12873,11597],{},[109,12875,12876],{"encoding":111},"A^c \\in \\mathcal{A}_\\lambda",[86,12878,12880,12924],{"className":12879,"ariaHidden":117},[116],[86,12881,12883,12886,12915,12918,12921],{"className":12882},[121],[86,12884],{"className":12885,"style":319},[125],[86,12887,12889,12892],{"className":12888},[130],[86,12890,189],{"className":12891},[130,131],[86,12893,12895],{"className":12894},[350],[86,12896,12898],{"className":12897},[354],[86,12899,12901],{"className":12900},[358],[86,12902,12904],{"className":12903,"style":1901},[362],[86,12905,12906,12909],{"style":365},[86,12907],{"className":12908,"style":370},[369],[86,12910,12912],{"className":12911},[374,375,376,377],[86,12913,6907],{"className":12914},[130,131,377],[86,12916],{"className":12917,"style":327},[326],[86,12919,451],{"className":12920},[166],[86,12922],{"className":12923,"style":327},[326],[86,12925,12927,12930],{"className":12926},[121],[86,12928],{"className":12929,"style":819},[125],[86,12931,12933,12936],{"className":12932},[130],[86,12934,189],{"className":12935},[130,206],[86,12937,12939],{"className":12938},[350],[86,12940,12942,12962],{"className":12941},[354,835],[86,12943,12945,12959],{"className":12944},[358],[86,12946,12948],{"className":12947,"style":4730},[362],[86,12949,12950,12953],{"style":845},[86,12951],{"className":12952,"style":370},[369],[86,12954,12956],{"className":12955},[374,375,376,377],[86,12957,11597],{"className":12958},[130,131,377],[86,12960,859],{"className":12961},[858],[86,12963,12965],{"className":12964},[358],[86,12966,12968],{"className":12967,"style":866},[362],[86,12969],{}," である．ゆえに，",[86,12972,12974,12996],{"className":12973},[89],[86,12975,12977],{"className":12976},[93],[95,12978,12979],{"xmlns":97},[99,12980,12981,12993],{},[102,12982,12983,12989,12991],{},[298,12984,12985,12987],{},[105,12986,189],{},[105,12988,6907],{},[147,12990,451],{},[105,12992,189],{"mathvariant":188},[109,12994,12995],{"encoding":111},"A^c \\in \\mathcal{A}",[86,12997,12999,13043],{"className":12998,"ariaHidden":117},[116],[86,13000,13002,13005,13034,13037,13040],{"className":13001},[121],[86,13003],{"className":13004,"style":319},[125],[86,13006,13008,13011],{"className":13007},[130],[86,13009,189],{"className":13010},[130,131],[86,13012,13014],{"className":13013},[350],[86,13015,13017],{"className":13016},[354],[86,13018,13020],{"className":13019},[358],[86,13021,13023],{"className":13022,"style":1901},[362],[86,13024,13025,13028],{"style":365},[86,13026],{"className":13027,"style":370},[369],[86,13029,13031],{"className":13030},[374,375,376,377],[86,13032,6907],{"className":13033},[130,131,377],[86,13035],{"className":13036,"style":327},[326],[86,13038,451],{"className":13039},[166],[86,13041],{"className":13042,"style":327},[326],[86,13044,13046,13049],{"className":13045},[121],[86,13047],{"className":13048,"style":202},[125],[86,13050,189],{"className":13051},[130,206],"．",[75,13054,13055,84,13095,13240,13241,11636,13291,13478,13479,12610],{},[86,13056,13058,13077],{"className":13057},[89],[86,13059,13061],{"className":13060},[93],[95,13062,13063],{"xmlns":97},[99,13064,13065,13074],{},[102,13066,13067,13069,13072],{},[147,13068,515],{"stretchy":746},[301,13070,13071],{},"1.4",[147,13073,526],{"stretchy":746},[109,13075,13076],{"encoding":111},"(1.4)",[86,13078,13080],{"className":13079,"ariaHidden":117},[116],[86,13081,13083,13086,13089,13092],{"className":13082},[121],[86,13084],{"className":13085,"style":507},[125],[86,13087,515],{"className":13088},[893],[86,13090,13071],{"className":13091},[130],[86,13093,526],{"className":13094},[942],[86,13096,13098,13127],{"className":13097},[89],[86,13099,13101],{"className":13100},[93],[95,13102,13103],{"xmlns":97},[99,13104,13105,13125],{},[102,13106,13107,13113,13115,13121,13123],{},[730,13108,13109,13111],{},[105,13110,189],{},[301,13112,522],{},[147,13114,756],{"separator":117},[730,13116,13117,13119],{},[105,13118,189],{},[301,13120,303],{},[147,13122,451],{},[105,13124,189],{"mathvariant":188},[109,13126,2600],{"encoding":111},[86,13128,13130,13231],{"className":13129,"ariaHidden":117},[116],[86,13131,13133,13136,13176,13179,13182,13222,13225,13228],{"className":13132},[121],[86,13134],{"className":13135,"style":1200},[125],[86,13137,13139,13142],{"className":13138},[130],[86,13140,189],{"className":13141},[130,131],[86,13143,13145],{"className":13144},[350],[86,13146,13148,13168],{"className":13147},[354,835],[86,13149,13151,13165],{"className":13150},[358],[86,13152,13154],{"className":13153,"style":1222},[362],[86,13155,13156,13159],{"style":845},[86,13157],{"className":13158,"style":370},[369],[86,13160,13162],{"className":13161},[374,375,376,377],[86,13163,522],{"className":13164},[130,377],[86,13166,859],{"className":13167},[858],[86,13169,13171],{"className":13170},[358],[86,13172,13174],{"className":13173,"style":866},[362],[86,13175],{},[86,13177,756],{"className":13178},[918],[86,13180],{"className":13181,"style":922},[326],[86,13183,13185,13188],{"className":13184},[130],[86,13186,189],{"className":13187},[130,131],[86,13189,13191],{"className":13190},[350],[86,13192,13194,13214],{"className":13193},[354,835],[86,13195,13197,13211],{"className":13196},[358],[86,13198,13200],{"className":13199,"style":1222},[362],[86,13201,13202,13205],{"style":845},[86,13203],{"className":13204,"style":370},[369],[86,13206,13208],{"className":13207},[374,375,376,377],[86,13209,303],{"className":13210},[130,377],[86,13212,859],{"className":13213},[858],[86,13215,13217],{"className":13216},[358],[86,13218,13220],{"className":13219,"style":866},[362],[86,13221],{},[86,13223],{"className":13224,"style":327},[326],[86,13226,451],{"className":13227},[166],[86,13229],{"className":13230,"style":327},[326],[86,13232,13234,13237],{"className":13233},[121],[86,13235],{"className":13236,"style":202},[125],[86,13238,189],{"className":13239},[130,206]," とする．このとき，任意の ",[86,13242,13244,13261],{"className":13243},[89],[86,13245,13247],{"className":13246},[93],[95,13248,13249],{"xmlns":97},[99,13250,13251,13259],{},[102,13252,13253,13255,13257],{},[105,13254,11597],{},[147,13256,451],{},[105,13258,11566],{"mathvariant":447},[109,13260,11604],{"encoding":111},[86,13262,13264,13282],{"className":13263,"ariaHidden":117},[116],[86,13265,13267,13270,13273,13276,13279],{"className":13266},[121],[86,13268],{"className":13269,"style":11614},[125],[86,13271,11597],{"className":13272},[130,131],[86,13274],{"className":13275,"style":327},[326],[86,13277,451],{"className":13278},[166],[86,13280],{"className":13281,"style":327},[326],[86,13283,13285,13288],{"className":13284},[121],[86,13286],{"className":13287,"style":202},[125],[86,13289,11566],{"className":13290},[130],[86,13292,13294,13328],{"className":13293},[89],[86,13295,13297],{"className":13296},[93],[95,13298,13299],{"xmlns":97},[99,13300,13301,13325],{},[102,13302,13303,13309,13311,13317,13319],{},[730,13304,13305,13307],{},[105,13306,189],{},[301,13308,522],{},[147,13310,756],{"separator":117},[730,13312,13313,13315],{},[105,13314,189],{},[301,13316,303],{},[147,13318,451],{},[730,13320,13321,13323],{},[105,13322,189],{"mathvariant":188},[105,13324,11597],{},[109,13326,13327],{"encoding":111},"A_1, A_2 \\in \\mathcal{A}_\\lambda",[86,13329,13331,13432],{"className":13330,"ariaHidden":117},[116],[86,13332,13334,13337,13377,13380,13383,13423,13426,13429],{"className":13333},[121],[86,13335],{"className":13336,"style":1200},[125],[86,13338,13340,13343],{"className":13339},[130],[86,13341,189],{"className":13342},[130,131],[86,13344,13346],{"className":13345},[350],[86,13347,13349,13369],{"className":13348},[354,835],[86,13350,13352,13366],{"className":13351},[358],[86,13353,13355],{"className":13354,"style":1222},[362],[86,13356,13357,13360],{"style":845},[86,13358],{"className":13359,"style":370},[369],[86,13361,13363],{"className":13362},[374,375,376,377],[86,13364,522],{"className":13365},[130,377],[86,13367,859],{"className":13368},[858],[86,13370,13372],{"className":13371},[358],[86,13373,13375],{"className":13374,"style":866},[362],[86,13376],{},[86,13378,756],{"className":13379},[918],[86,13381],{"className":13382,"style":922},[326],[86,13384,13386,13389],{"className":13385},[130],[86,13387,189],{"className":13388},[130,131],[86,13390,13392],{"className":13391},[350],[86,13393,13395,13415],{"className":13394},[354,835],[86,13396,13398,13412],{"className":13397},[358],[86,13399,13401],{"className":13400,"style":1222},[362],[86,13402,13403,13406],{"style":845},[86,13404],{"className":13405,"style":370},[369],[86,13407,13409],{"className":13408},[374,375,376,377],[86,13410,303],{"className":13411},[130,377],[86,13413,859],{"className":13414},[858],[86,13416,13418],{"className":13417},[358],[86,13419,13421],{"className":13420,"style":866},[362],[86,13422],{},[86,13424],{"className":13425,"style":327},[326],[86,13427,451],{"className":13428},[166],[86,13430],{"className":13431,"style":327},[326],[86,13433,13435,13438],{"className":13434},[121],[86,13436],{"className":13437,"style":819},[125],[86,13439,13441,13444],{"className":13440},[130],[86,13442,189],{"className":13443},[130,206],[86,13445,13447],{"className":13446},[350],[86,13448,13450,13470],{"className":13449},[354,835],[86,13451,13453,13467],{"className":13452},[358],[86,13454,13456],{"className":13455,"style":4730},[362],[86,13457,13458,13461],{"style":845},[86,13459],{"className":13460,"style":370},[369],[86,13462,13464],{"className":13463},[374,375,376,377],[86,13465,11597],{"className":13466},[130,131,377],[86,13468,859],{"className":13469},[858],[86,13471,13473],{"className":13472},[358],[86,13474,13476],{"className":13475,"style":866},[362],[86,13477],{}," であるから，",[86,13480,13482,13516],{"className":13481},[89],[86,13483,13485],{"className":13484},[93],[95,13486,13487],{"xmlns":97},[99,13488,13489,13513],{},[102,13490,13491,13497,13499,13505,13507],{},[730,13492,13493,13495],{},[105,13494,189],{},[301,13496,522],{},[147,13498,1170],{},[730,13500,13501,13503],{},[105,13502,189],{},[301,13504,303],{},[147,13506,451],{},[730,13508,13509,13511],{},[105,13510,189],{"mathvariant":188},[105,13512,11597],{},[109,13514,13515],{"encoding":111},"A_1 \\cup A_2 \\in \\mathcal{A}_\\lambda",[86,13517,13519,13574,13629],{"className":13518,"ariaHidden":117},[116],[86,13520,13522,13525,13565,13568,13571],{"className":13521},[121],[86,13523],{"className":13524,"style":819},[125],[86,13526,13528,13531],{"className":13527},[130],[86,13529,189],{"className":13530},[130,131],[86,13532,13534],{"className":13533},[350],[86,13535,13537,13557],{"className":13536},[354,835],[86,13538,13540,13554],{"className":13539},[358],[86,13541,13543],{"className":13542,"style":1222},[362],[86,13544,13545,13548],{"style":845},[86,13546],{"className":13547,"style":370},[369],[86,13549,13551],{"className":13550},[374,375,376,377],[86,13552,522],{"className":13553},[130,377],[86,13555,859],{"className":13556},[858],[86,13558,13560],{"className":13559},[358],[86,13561,13563],{"className":13562,"style":866},[362],[86,13564],{},[86,13566],{"className":13567,"style":648},[326],[86,13569,1170],{"className":13570},[652],[86,13572],{"className":13573,"style":648},[326],[86,13575,13577,13580,13620,13623,13626],{"className":13576},[121],[86,13578],{"className":13579,"style":819},[125],[86,13581,13583,13586],{"className":13582},[130],[86,13584,189],{"className":13585},[130,131],[86,13587,13589],{"className":13588},[350],[86,13590,13592,13612],{"className":13591},[354,835],[86,13593,13595,13609],{"className":13594},[358],[86,13596,13598],{"className":13597,"style":1222},[362],[86,13599,13600,13603],{"style":845},[86,13601],{"className":13602,"style":370},[369],[86,13604,13606],{"className":13605},[374,375,376,377],[86,13607,303],{"className":13608},[130,377],[86,13610,859],{"className":13611},[858],[86,13613,13615],{"className":13614},[358],[86,13616,13618],{"className":13617,"style":866},[362],[86,13619],{},[86,13621],{"className":13622,"style":327},[326],[86,13624,451],{"className":13625},[166],[86,13627],{"className":13628,"style":327},[326],[86,13630,13632,13635],{"className":13631},[121],[86,13633],{"className":13634,"style":819},[125],[86,13636,13638,13641],{"className":13637},[130],[86,13639,189],{"className":13640},[130,206],[86,13642,13644],{"className":13643},[350],[86,13645,13647,13667],{"className":13646},[354,835],[86,13648,13650,13664],{"className":13649},[358],[86,13651,13653],{"className":13652,"style":4730},[362],[86,13654,13655,13658],{"style":845},[86,13656],{"className":13657,"style":370},[369],[86,13659,13661],{"className":13660},[374,375,376,377],[86,13662,11597],{"className":13663},[130,131,377],[86,13665,859],{"className":13666},[858],[86,13668,13670],{"className":13669},[358],[86,13671,13673],{"className":13672,"style":866},[362],[86,13674],{},[75,13676,13677,13678,13706],{},"ゆえに，",[86,13679,13681,13694],{"className":13680},[89],[86,13682,13684],{"className":13683},[93],[95,13685,13686],{"xmlns":97},[99,13687,13688,13692],{},[102,13689,13690],{},[105,13691,189],{"mathvariant":188},[109,13693,192],{"encoding":111},[86,13695,13697],{"className":13696,"ariaHidden":117},[116],[86,13698,13700,13703],{"className":13699},[121],[86,13701],{"className":13702,"style":202},[125],[86,13704,189],{"className":13705},[130,206]," は有限加法族である．",[270,13708,12128],{"id":13709},"iii",[75,13711,13712,12416,13750,11984,13800,12559,13891,13052],{},[86,13713,13715,13732],{"className":13714},[89],[86,13716,13718],{"className":13717},[93],[95,13719,13720],{"xmlns":97},[99,13721,13722,13730],{},[102,13723,13724,13726,13728],{},[147,13725,515],{"stretchy":746},[301,13727,12392],{},[147,13729,526],{"stretchy":746},[109,13731,12397],{"encoding":111},[86,13733,13735],{"className":13734,"ariaHidden":117},[116],[86,13736,13738,13741,13744,13747],{"className":13737},[121],[86,13739],{"className":13740,"style":507},[125],[86,13742,515],{"className":13743},[893],[86,13745,12392],{"className":13746},[130],[86,13748,526],{"className":13749},[942],[86,13751,13753,13770],{"className":13752},[89],[86,13754,13756],{"className":13755},[93],[95,13757,13758],{"xmlns":97},[99,13759,13760,13768],{},[102,13761,13762,13764,13766],{},[105,13763,11597],{},[147,13765,451],{},[105,13767,11566],{"mathvariant":447},[109,13769,11604],{"encoding":111},[86,13771,13773,13791],{"className":13772,"ariaHidden":117},[116],[86,13774,13776,13779,13782,13785,13788],{"className":13775},[121],[86,13777],{"className":13778,"style":11614},[125],[86,13780,11597],{"className":13781},[130,131],[86,13783],{"className":13784,"style":327},[326],[86,13786,451],{"className":13787},[166],[86,13789],{"className":13790,"style":327},[326],[86,13792,13794,13797],{"className":13793},[121],[86,13795],{"className":13796,"style":202},[125],[86,13798,11566],{"className":13799},[130],[86,13801,13803,13824],{"className":13802},[89],[86,13804,13806],{"className":13805},[93],[95,13807,13808],{"xmlns":97},[99,13809,13810,13822],{},[102,13811,13812,13814,13816],{},[105,13813,448],{"mathvariant":447},[147,13815,451],{},[730,13817,13818,13820],{},[105,13819,189],{"mathvariant":188},[105,13821,11597],{},[109,13823,12491],{"encoding":111},[86,13825,13827,13845],{"className":13826,"ariaHidden":117},[116],[86,13828,13830,13833,13836,13839,13842],{"className":13829},[121],[86,13831],{"className":13832,"style":474},[125],[86,13834,448],{"className":13835},[130],[86,13837],{"className":13838,"style":327},[326],[86,13840,451],{"className":13841},[166],[86,13843],{"className":13844,"style":327},[326],[86,13846,13848,13851],{"className":13847},[121],[86,13849],{"className":13850,"style":819},[125],[86,13852,13854,13857],{"className":13853},[130],[86,13855,189],{"className":13856},[130,206],[86,13858,13860],{"className":13859},[350],[86,13861,13863,13883],{"className":13862},[354,835],[86,13864,13866,13880],{"className":13865},[358],[86,13867,13869],{"className":13868,"style":4730},[362],[86,13870,13871,13874],{"style":845},[86,13872],{"className":13873,"style":370},[369],[86,13875,13877],{"className":13876},[374,375,376,377],[86,13878,11597],{"className":13879},[130,131,377],[86,13881,859],{"className":13882},[858],[86,13884,13886],{"className":13885},[358],[86,13887,13889],{"className":13888,"style":866},[362],[86,13890],{},[86,13892,13894,13911],{"className":13893},[89],[86,13895,13897],{"className":13896},[93],[95,13898,13899],{"xmlns":97},[99,13900,13901,13909],{},[102,13902,13903,13905,13907],{},[105,13904,448],{"mathvariant":447},[147,13906,451],{},[105,13908,189],{"mathvariant":188},[109,13910,2735],{"encoding":111},[86,13912,13914,13932],{"className":13913,"ariaHidden":117},[116],[86,13915,13917,13920,13923,13926,13929],{"className":13916},[121],[86,13918],{"className":13919,"style":474},[125],[86,13921,448],{"className":13922},[130],[86,13924],{"className":13925,"style":327},[326],[86,13927,451],{"className":13928},[166],[86,13930],{"className":13931,"style":327},[326],[86,13933,13935,13938],{"className":13934},[121],[86,13936],{"className":13937,"style":202},[125],[86,13939,189],{"className":13940},[130,206],[75,13942,13943,12416,13981,11984,14031,6886,14122,13052],{},[86,13944,13946,13963],{"className":13945},[89],[86,13947,13949],{"className":13948},[93],[95,13950,13951],{"xmlns":97},[99,13952,13953,13961],{},[102,13954,13955,13957,13959],{},[147,13956,515],{"stretchy":746},[301,13958,12629],{},[147,13960,526],{"stretchy":746},[109,13962,12634],{"encoding":111},[86,13964,13966],{"className":13965,"ariaHidden":117},[116],[86,13967,13969,13972,13975,13978],{"className":13968},[121],[86,13970],{"className":13971,"style":507},[125],[86,13973,515],{"className":13974},[893],[86,13976,12629],{"className":13977},[130],[86,13979,526],{"className":13980},[942],[86,13982,13984,14001],{"className":13983},[89],[86,13985,13987],{"className":13986},[93],[95,13988,13989],{"xmlns":97},[99,13990,13991,13999],{},[102,13992,13993,13995,13997],{},[105,13994,11597],{},[147,13996,451],{},[105,13998,11566],{"mathvariant":447},[109,14000,11604],{"encoding":111},[86,14002,14004,14022],{"className":14003,"ariaHidden":117},[116],[86,14005,14007,14010,14013,14016,14019],{"className":14006},[121],[86,14008],{"className":14009,"style":11614},[125],[86,14011,11597],{"className":14012},[130,131],[86,14014],{"className":14015,"style":327},[326],[86,14017,451],{"className":14018},[166],[86,14020],{"className":14021,"style":327},[326],[86,14023,14025,14028],{"className":14024},[121],[86,14026],{"className":14027,"style":202},[125],[86,14029,11566],{"className":14030},[130],[86,14032,14034,14055],{"className":14033},[89],[86,14035,14037],{"className":14036},[93],[95,14038,14039],{"xmlns":97},[99,14040,14041,14053],{},[102,14042,14043,14045,14047],{},[105,14044,189],{},[147,14046,451],{},[730,14048,14049,14051],{},[105,14050,189],{"mathvariant":188},[105,14052,11597],{},[109,14054,12779],{"encoding":111},[86,14056,14058,14076],{"className":14057,"ariaHidden":117},[116],[86,14059,14061,14064,14067,14070,14073],{"className":14060},[121],[86,14062],{"className":14063,"style":319},[125],[86,14065,189],{"className":14066},[130,131],[86,14068],{"className":14069,"style":327},[326],[86,14071,451],{"className":14072},[166],[86,14074],{"className":14075,"style":327},[326],[86,14077,14079,14082],{"className":14078},[121],[86,14080],{"className":14081,"style":819},[125],[86,14083,14085,14088],{"className":14084},[130],[86,14086,189],{"className":14087},[130,206],[86,14089,14091],{"className":14090},[350],[86,14092,14094,14114],{"className":14093},[354,835],[86,14095,14097,14111],{"className":14096},[358],[86,14098,14100],{"className":14099,"style":4730},[362],[86,14101,14102,14105],{"style":845},[86,14103],{"className":14104,"style":370},[369],[86,14106,14108],{"className":14107},[374,375,376,377],[86,14109,11597],{"className":14110},[130,131,377],[86,14112,859],{"className":14113},[858],[86,14115,14117],{"className":14116},[358],[86,14118,14120],{"className":14119,"style":866},[362],[86,14121],{},[86,14123,14125,14150],{"className":14124},[89],[86,14126,14128],{"className":14127},[93],[95,14129,14130],{"xmlns":97},[99,14131,14132,14148],{},[102,14133,14134,14140,14142],{},[298,14135,14136,14138],{},[105,14137,189],{},[105,14139,6907],{},[147,14141,451],{},[730,14143,14144,14146],{},[105,14145,189],{"mathvariant":188},[105,14147,11597],{},[109,14149,12876],{"encoding":111},[86,14151,14153,14197],{"className":14152,"ariaHidden":117},[116],[86,14154,14156,14159,14188,14191,14194],{"className":14155},[121],[86,14157],{"className":14158,"style":319},[125],[86,14160,14162,14165],{"className":14161},[130],[86,14163,189],{"className":14164},[130,131],[86,14166,14168],{"className":14167},[350],[86,14169,14171],{"className":14170},[354],[86,14172,14174],{"className":14173},[358],[86,14175,14177],{"className":14176,"style":1901},[362],[86,14178,14179,14182],{"style":365},[86,14180],{"className":14181,"style":370},[369],[86,14183,14185],{"className":14184},[374,375,376,377],[86,14186,6907],{"className":14187},[130,131,377],[86,14189],{"className":14190,"style":327},[326],[86,14192,451],{"className":14193},[166],[86,14195],{"className":14196,"style":327},[326],[86,14198,14200,14203],{"className":14199},[121],[86,14201],{"className":14202,"style":819},[125],[86,14204,14206,14209],{"className":14205},[130],[86,14207,189],{"className":14208},[130,206],[86,14210,14212],{"className":14211},[350],[86,14213,14215,14235],{"className":14214},[354,835],[86,14216,14218,14232],{"className":14217},[358],[86,14219,14221],{"className":14220,"style":4730},[362],[86,14222,14223,14226],{"style":845},[86,14224],{"className":14225,"style":370},[369],[86,14227,14229],{"className":14228},[374,375,376,377],[86,14230,11597],{"className":14231},[130,131,377],[86,14233,859],{"className":14234},[858],[86,14236,14238],{"className":14237},[358],[86,14239,14241],{"className":14240,"style":866},[362],[86,14242],{},[75,14244,14245,84,14285,14555,14556,14584,14585,14718,14719,7362,14789,14817,14818,14846],{},[86,14246,14248,14267],{"className":14247},[89],[86,14249,14251],{"className":14250},[93],[95,14252,14253],{"xmlns":97},[99,14254,14255,14264],{},[102,14256,14257,14259,14262],{},[147,14258,515],{"stretchy":746},[301,14260,14261],{},"1.3",[147,14263,526],{"stretchy":746},[109,14265,14266],{"encoding":111},"(1.3)",[86,14268,14270],{"className":14269,"ariaHidden":117},[116],[86,14271,14273,14276,14279,14282],{"className":14272},[121],[86,14274],{"className":14275,"style":507},[125],[86,14277,515],{"className":14278},[893],[86,14280,14261],{"className":14281},[130],[86,14283,526],{"className":14284},[942],[86,14286,14288,14340],{"className":14287},[89],[86,14289,14291],{"className":14290},[93],[95,14292,14293],{"xmlns":97},[99,14294,14295,14337],{},[102,14296,14297,14303,14305,14311,14313,14315,14317],{},[730,14298,14299,14301],{},[105,14300,189],{},[301,14302,522],{},[147,14304,756],{"separator":117},[730,14306,14307,14309],{},[105,14308,189],{},[301,14310,303],{},[147,14312,756],{"separator":117},[147,14314,2856],{},[147,14316,451],{},[3968,14318,14319,14331],{"scriptlevel":3970,"displaystyle":117},[776,14320,14321,14323],{},[147,14322,5932],{},[102,14324,14325,14327,14329],{},[105,14326,736],{},[147,14328,787],{},[301,14330,522],{},[730,14332,14333,14335],{},[105,14334,189],{},[105,14336,736],{},[109,14338,14339],{"encoding":111},"A_1, A_2, \\dots \\in \\displaystyle\\bigcap_{n \\geq 1} A_n",[86,14341,14343,14453],{"className":14342,"ariaHidden":117},[116],[86,14344,14346,14349,14389,14392,14395,14435,14438,14441,14444,14447,14450],{"className":14345},[121],[86,14347],{"className":14348,"style":1200},[125],[86,14350,14352,14355],{"className":14351},[130],[86,14353,189],{"className":14354},[130,131],[86,14356,14358],{"className":14357},[350],[86,14359,14361,14381],{"className":14360},[354,835],[86,14362,14364,14378],{"className":14363},[358],[86,14365,14367],{"className":14366,"style":1222},[362],[86,14368,14369,14372],{"style":845},[86,14370],{"className":14371,"style":370},[369],[86,14373,14375],{"className":14374},[374,375,376,377],[86,14376,522],{"className":14377},[130,377],[86,14379,859],{"className":14380},[858],[86,14382,14384],{"className":14383},[358],[86,14385,14387],{"className":14386,"style":866},[362],[86,14388],{},[86,14390,756],{"className":14391},[918],[86,14393],{"className":14394,"style":922},[326],[86,14396,14398,14401],{"className":14397},[130],[86,14399,189],{"className":14400},[130,131],[86,14402,14404],{"className":14403},[350],[86,14405,14407,14427],{"className":14406},[354,835],[86,14408,14410,14424],{"className":14409},[358],[86,14411,14413],{"className":14412,"style":1222},[362],[86,14414,14415,14418],{"style":845},[86,14416],{"className":14417,"style":370},[369],[86,14419,14421],{"className":14420},[374,375,376,377],[86,14422,303],{"className":14423},[130,377],[86,14425,859],{"className":14426},[858],[86,14428,14430],{"className":14429},[358],[86,14431,14433],{"className":14432,"style":866},[362],[86,14434],{},[86,14436,756],{"className":14437},[918],[86,14439],{"className":14440,"style":922},[326],[86,14442,2856],{"className":14443},[935],[86,14445],{"className":14446,"style":327},[326],[86,14448,451],{"className":14449},[166],[86,14451],{"className":14452,"style":327},[326],[86,14454,14456,14459,14512,14515],{"className":14455},[121],[86,14457],{"className":14458,"style":964},[125],[86,14460,14462],{"className":14461},[968,969],[86,14463,14465,14504],{"className":14464},[354,835],[86,14466,14468,14501],{"className":14467},[358],[86,14469,14471,14491],{"className":14470,"style":979},[362],[86,14472,14473,14476],{"style":982},[86,14474],{"className":14475,"style":986},[369],[86,14477,14479],{"className":14478},[374,375,376,377],[86,14480,14482,14485,14488],{"className":14481},[130,377],[86,14483,736],{"className":14484},[130,131,377],[86,14486,787],{"className":14487},[166,377],[86,14489,522],{"className":14490},[130,377],[86,14492,14493,14496],{"style":1004},[86,14494],{"className":14495,"style":986},[369],[86,14497,14498],{},[86,14499,5932],{"className":14500},[968,1013,1014],[86,14502,859],{"className":14503},[858],[86,14505,14507],{"className":14506},[358],[86,14508,14510],{"className":14509,"style":1024},[362],[86,14511],{},[86,14513],{"className":14514,"style":922},[326],[86,14516,14518,14521],{"className":14517},[130],[86,14519,189],{"className":14520},[130,131],[86,14522,14524],{"className":14523},[350],[86,14525,14527,14547],{"className":14526},[354,835],[86,14528,14530,14544],{"className":14529},[358],[86,14531,14533],{"className":14532,"style":842},[362],[86,14534,14535,14538],{"style":845},[86,14536],{"className":14537,"style":370},[369],[86,14539,14541],{"className":14540},[374,375,376,377],[86,14542,736],{"className":14543},[130,131,377],[86,14545,859],{"className":14546},[858],[86,14548,14550],{"className":14549},[358],[86,14551,14553],{"className":14552,"style":866},[362],[86,14554],{}," をとると，まずすべての ",[86,14557,14559,14572],{"className":14558},[89],[86,14560,14562],{"className":14561},[93],[95,14563,14564],{"xmlns":97},[99,14565,14566,14570],{},[102,14567,14568],{},[105,14569,736],{},[109,14571,736],{"encoding":111},[86,14573,14575],{"className":14574,"ariaHidden":117},[116],[86,14576,14578,14581],{"className":14577},[121],[86,14579],{"className":14580,"style":126},[125],[86,14582,736],{"className":14583},[130,131]," で ",[86,14586,14588,14614],{"className":14587},[89],[86,14589,14591],{"className":14590},[93],[95,14592,14593],{"xmlns":97},[99,14594,14595,14611],{},[102,14596,14597,14603,14605],{},[730,14598,14599,14601],{},[105,14600,189],{},[105,14602,736],{},[147,14604,451],{},[730,14606,14607,14609],{},[105,14608,189],{"mathvariant":188},[105,14610,736],{},[109,14612,14613],{"encoding":111},"A_n \\in \\mathcal{A}_n",[86,14615,14617,14672],{"className":14616,"ariaHidden":117},[116],[86,14618,14620,14623,14663,14666,14669],{"className":14619},[121],[86,14621],{"className":14622,"style":819},[125],[86,14624,14626,14629],{"className":14625},[130],[86,14627,189],{"className":14628},[130,131],[86,14630,14632],{"className":14631},[350],[86,14633,14635,14655],{"className":14634},[354,835],[86,14636,14638,14652],{"className":14637},[358],[86,14639,14641],{"className":14640,"style":842},[362],[86,14642,14643,14646],{"style":845},[86,14644],{"className":14645,"style":370},[369],[86,14647,14649],{"className":14648},[374,375,376,377],[86,14650,736],{"className":14651},[130,131,377],[86,14653,859],{"className":14654},[858],[86,14656,14658],{"className":14657},[358],[86,14659,14661],{"className":14660,"style":866},[362],[86,14662],{},[86,14664],{"className":14665,"style":327},[326],[86,14667,451],{"className":14668},[166],[86,14670],{"className":14671,"style":327},[326],[86,14673,14675,14678],{"className":14674},[121],[86,14676],{"className":14677,"style":819},[125],[86,14679,14681,14684],{"className":14680},[130],[86,14682,189],{"className":14683},[130,206],[86,14685,14687],{"className":14686},[350],[86,14688,14690,14710],{"className":14689},[354,835],[86,14691,14693,14707],{"className":14692},[358],[86,14694,14696],{"className":14695,"style":842},[362],[86,14697,14698,14701],{"style":845},[86,14699],{"className":14700,"style":370},[369],[86,14702,14704],{"className":14703},[374,375,376,377],[86,14705,736],{"className":14706},[130,131,377],[86,14708,859],{"className":14709},[858],[86,14711,14713],{"className":14712},[358],[86,14714,14716],{"className":14715,"style":866},[362],[86,14717],{}," である。各 ",[86,14720,14722,14740],{"className":14721},[89],[86,14723,14725],{"className":14724},[93],[95,14726,14727],{"xmlns":97},[99,14728,14729,14737],{},[102,14730,14731],{},[730,14732,14733,14735],{},[105,14734,189],{"mathvariant":188},[105,14736,736],{},[109,14738,14739],{"encoding":111},"\\mathcal{A}_n",[86,14741,14743],{"className":14742,"ariaHidden":117},[116],[86,14744,14746,14749],{"className":14745},[121],[86,14747],{"className":14748,"style":819},[125],[86,14750,14752,14755],{"className":14751},[130],[86,14753,189],{"className":14754},[130,206],[86,14756,14758],{"className":14757},[350],[86,14759,14761,14781],{"className":14760},[354,835],[86,14762,14764,14778],{"className":14763},[358],[86,14765,14767],{"className":14766,"style":842},[362],[86,14768,14769,14772],{"style":845},[86,14770],{"className":14771,"style":370},[369],[86,14773,14775],{"className":14774},[374,375,376,377],[86,14776,736],{"className":14777},[130,131,377],[86,14779,859],{"className":14780},[858],[86,14782,14784],{"className":14783},[358],[86,14785,14787],{"className":14786,"style":866},[362],[86,14788],{},[86,14790,14792,14805],{"className":14791},[89],[86,14793,14795],{"className":14794},[93],[95,14796,14797],{"xmlns":97},[99,14798,14799,14803],{},[102,14800,14801],{},[105,14802,107],{},[109,14804,112],{"encoding":111},[86,14806,14808],{"className":14807,"ariaHidden":117},[116],[86,14809,14811,14814],{"className":14810},[121],[86,14812],{"className":14813,"style":126},[125],[86,14815,107],{"className":14816,"style":132},[130,131],"-加法族なので可算和で閉じており，その ",[86,14819,14821,14834],{"className":14820},[89],[86,14822,14824],{"className":14823},[93],[95,14825,14826],{"xmlns":97},[99,14827,14828,14832],{},[102,14829,14830],{},[105,14831,736],{},[109,14833,736],{"encoding":111},[86,14835,14837],{"className":14836,"ariaHidden":117},[116],[86,14838,14840,14843],{"className":14839},[121],[86,14841],{"className":14842,"style":126},[125],[86,14844,736],{"className":14845},[130,131]," において",[86,14848,14850],{"className":14849},[415],[86,14851,14853,14891],{"className":14852},[89],[86,14854,14856],{"className":14855},[93],[95,14857,14858],{"xmlns":97,"display":424},[99,14859,14860,14888],{},[102,14861,14862,14874,14880,14882],{},[776,14863,14864,14866],{},[147,14865,780],{},[102,14867,14868,14870,14872],{},[105,14869,276],{},[147,14871,787],{},[301,14873,522],{},[730,14875,14876,14878],{},[105,14877,1806],{},[105,14879,276],{},[147,14881,451],{},[730,14883,14884,14886],{},[105,14885,189],{"mathvariant":188},[105,14887,736],{},[109,14889,14890],{"encoding":111},"\\bigcup_{i \\geq 1} B_i \\in \\mathcal{A}_n",[86,14892,14894,15007],{"className":14893,"ariaHidden":117},[116],[86,14895,14897,14901,14955,14958,14998,15001,15004],{"className":14896},[121],[86,14898],{"className":14899,"style":14900},[125],"height:2.4229em;vertical-align:-1.3728em;",[86,14902,14904],{"className":14903},[968,969],[86,14905,14907,14946],{"className":14906},[354,835],[86,14908,14910,14943],{"className":14909},[358],[86,14911,14913,14933],{"className":14912,"style":979},[362],[86,14914,14915,14918],{"style":5239},[86,14916],{"className":14917,"style":986},[369],[86,14919,14921],{"className":14920},[374,375,376,377],[86,14922,14924,14927,14930],{"className":14923},[130,377],[86,14925,276],{"className":14926},[130,131,377],[86,14928,787],{"className":14929},[166,377],[86,14931,522],{"className":14932},[130,377],[86,14934,14935,14938],{"style":1004},[86,14936],{"className":14937,"style":986},[369],[86,14939,14940],{},[86,14941,780],{"className":14942},[968,1013,1014],[86,14944,859],{"className":14945},[858],[86,14947,14949],{"className":14948},[358],[86,14950,14953],{"className":14951,"style":14952},[362],"height:1.3728em;",[86,14954],{},[86,14956],{"className":14957,"style":922},[326],[86,14959,14961,14964],{"className":14960},[130],[86,14962,1806],{"className":14963,"style":1847},[130,131],[86,14965,14967],{"className":14966},[350],[86,14968,14970,14990],{"className":14969},[354,835],[86,14971,14973,14987],{"className":14972},[358],[86,14974,14976],{"className":14975,"style":5315},[362],[86,14977,14978,14981],{"style":1862},[86,14979],{"className":14980,"style":370},[369],[86,14982,14984],{"className":14983},[374,375,376,377],[86,14985,276],{"className":14986},[130,131,377],[86,14988,859],{"className":14989},[858],[86,14991,14993],{"className":14992},[358],[86,14994,14996],{"className":14995,"style":866},[362],[86,14997],{},[86,14999],{"className":15000,"style":327},[326],[86,15002,451],{"className":15003},[166],[86,15005],{"className":15006,"style":327},[326],[86,15008,15010,15013],{"className":15009},[121],[86,15011],{"className":15012,"style":819},[125],[86,15014,15016,15019],{"className":15015},[130],[86,15017,189],{"className":15018},[130,206],[86,15020,15022],{"className":15021},[350],[86,15023,15025,15045],{"className":15024},[354,835],[86,15026,15028,15042],{"className":15027},[358],[86,15029,15031],{"className":15030,"style":842},[362],[86,15032,15033,15036],{"style":845},[86,15034],{"className":15035,"style":370},[369],[86,15037,15039],{"className":15038},[374,375,376,377],[86,15040,736],{"className":15041},[130,131,377],[86,15043,859],{"className":15044},[858],[86,15046,15048],{"className":15047},[358],[86,15049,15051],{"className":15050,"style":866},[362],[86,15052],{},[75,15054,15055,15056,15327,15328],{},"となる．また ",[86,15057,15059,15111],{"className":15058},[89],[86,15060,15062],{"className":15061},[93],[95,15063,15064],{"xmlns":97},[99,15065,15066,15108],{},[102,15067,15068],{},[3968,15069,15070,15082,15088,15090,15102],{"scriptlevel":3970,"displaystyle":117},[776,15071,15072,15074],{},[147,15073,780],{},[102,15075,15076,15078,15080],{},[105,15077,276],{},[147,15079,787],{},[301,15081,522],{},[730,15083,15084,15086],{},[105,15085,1806],{},[105,15087,276],{},[147,15089,451],{},[776,15091,15092,15094],{},[147,15093,5932],{},[102,15095,15096,15098,15100],{},[105,15097,736],{},[147,15099,787],{},[301,15101,522],{},[730,15103,15104,15106],{},[105,15105,189],{"mathvariant":188},[105,15107,736],{},[109,15109,15110],{"encoding":111},"\\displaystyle\\bigcup_{i \\geq 1} B_i \\in \\bigcap_{n \\geq 1} \\mathcal{A}_n",[86,15112,15114,15225],{"className":15113,"ariaHidden":117},[116],[86,15115,15117,15120,15173,15176,15216,15219,15222],{"className":15116},[121],[86,15118],{"className":15119,"style":14900},[125],[86,15121,15123],{"className":15122},[968,969],[86,15124,15126,15165],{"className":15125},[354,835],[86,15127,15129,15162],{"className":15128},[358],[86,15130,15132,15152],{"className":15131,"style":979},[362],[86,15133,15134,15137],{"style":5239},[86,15135],{"className":15136,"style":986},[369],[86,15138,15140],{"className":15139},[374,375,376,377],[86,15141,15143,15146,15149],{"className":15142},[130,377],[86,15144,276],{"className":15145},[130,131,377],[86,15147,787],{"className":15148},[166,377],[86,15150,522],{"className":15151},[130,377],[86,15153,15154,15157],{"style":1004},[86,15155],{"className":15156,"style":986},[369],[86,15158,15159],{},[86,15160,780],{"className":15161},[968,1013,1014],[86,15163,859],{"className":15164},[858],[86,15166,15168],{"className":15167},[358],[86,15169,15171],{"className":15170,"style":14952},[362],[86,15172],{},[86,15174],{"className":15175,"style":922},[326],[86,15177,15179,15182],{"className":15178},[130],[86,15180,1806],{"className":15181,"style":1847},[130,131],[86,15183,15185],{"className":15184},[350],[86,15186,15188,15208],{"className":15187},[354,835],[86,15189,15191,15205],{"className":15190},[358],[86,15192,15194],{"className":15193,"style":5315},[362],[86,15195,15196,15199],{"style":1862},[86,15197],{"className":15198,"style":370},[369],[86,15200,15202],{"className":15201},[374,375,376,377],[86,15203,276],{"className":15204},[130,131,377],[86,15206,859],{"className":15207},[858],[86,15209,15211],{"className":15210},[358],[86,15212,15214],{"className":15213,"style":866},[362],[86,15215],{},[86,15217],{"className":15218,"style":327},[326],[86,15220,451],{"className":15221},[166],[86,15223],{"className":15224,"style":327},[326],[86,15226,15228,15231,15284,15287],{"className":15227},[121],[86,15229],{"className":15230,"style":964},[125],[86,15232,15234],{"className":15233},[968,969],[86,15235,15237,15276],{"className":15236},[354,835],[86,15238,15240,15273],{"className":15239},[358],[86,15241,15243,15263],{"className":15242,"style":979},[362],[86,15244,15245,15248],{"style":982},[86,15246],{"className":15247,"style":986},[369],[86,15249,15251],{"className":15250},[374,375,376,377],[86,15252,15254,15257,15260],{"className":15253},[130,377],[86,15255,736],{"className":15256},[130,131,377],[86,15258,787],{"className":15259},[166,377],[86,15261,522],{"className":15262},[130,377],[86,15264,15265,15268],{"style":1004},[86,15266],{"className":15267,"style":986},[369],[86,15269,15270],{},[86,15271,5932],{"className":15272},[968,1013,1014],[86,15274,859],{"className":15275},[858],[86,15277,15279],{"className":15278},[358],[86,15280,15282],{"className":15281,"style":1024},[362],[86,15283],{},[86,15285],{"className":15286,"style":922},[326],[86,15288,15290,15293],{"className":15289},[130],[86,15291,189],{"className":15292},[130,206],[86,15294,15296],{"className":15295},[350],[86,15297,15299,15319],{"className":15298},[354,835],[86,15300,15302,15316],{"className":15301},[358],[86,15303,15305],{"className":15304,"style":842},[362],[86,15306,15307,15310],{"style":845},[86,15308],{"className":15309,"style":370},[369],[86,15311,15313],{"className":15312},[374,375,376,377],[86,15314,736],{"className":15315},[130,131,377],[86,15317,859],{"className":15318},[858],[86,15320,15322],{"className":15321},[358],[86,15323,15325],{"className":15324,"style":866},[362],[86,15326],{}," であるから，可算和に閉じている．",[86,15329,15331,15344],{"className":15330},[89],[86,15332,15334],{"className":15333},[93],[95,15335,15336],{"xmlns":97},[99,15337,15338,15342],{},[102,15339,15340],{},[105,15341,5763],{"mathvariant":447},[109,15343,5766],{"encoding":111},[86,15345,15347],{"className":15346,"ariaHidden":117},[116],[86,15348,15350,15353],{"className":15349},[121],[86,15351],{"className":15352,"style":5776},[125],[86,15354,5763],{"className":15355},[130,5780],{"title":5782,"searchDepth":5783,"depth":5783,"links":15357},[15358,15359],{"id":3285,"depth":5783,"text":172},{"id":13709,"depth":5783,"text":12128},{"create_date":5793,"updated_date":5793},{"title":38,"description":5790},[19,5790],"h39VZoJInO7B0BZ-xrluSABdg0UFPqG7pofq-tg8GdM",1781787174543]