{"categories":[],"author_name":"computeralgebra","version":"1.0","url":"https://computeralgebra.hatenablog.com/entry/2020/03/05/004207","blog_title":"\u975e\u5c02\u9580\u7684\u30b7\u30f3\u30ae\u30e5\u30e9\u30ea\u30c6\u30a3\u30fc\u7814\u7a76\u6240","blog_url":"https://computeralgebra.hatenablog.com/","type":"rich","provider_url":"https://hatena.blog","height":"190","published":"2020-03-05 00:42:07","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fcomputeralgebra.hatenablog.com%2Fentry%2F2020%2F03%2F05%2F004207\" title=\"Zorn\u306e\u88dc\u984c(1) - \u975e\u5c02\u9580\u7684\u30b7\u30f3\u30ae\u30e5\u30e9\u30ea\u30c6\u30a3\u30fc\u7814\u7a76\u6240\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","title":"Zorn\u306e\u88dc\u984c(1)","width":"100%","author_url":"https://blog.hatena.ne.jp/computeralgebra/","provider_name":"Hatena Blog","description":"Optimistic Mathematics \u306e\u30b5\u30a4\u30c8\u3067\u300cZorn\u306e\u88dc\u984c\u300d\u3092\u9078\u51fa\u516c\u7406\u304b\u3089\u6570\u5f0f\u306e\u5909\u5f62\u3067\u5c0e\u304f\u3068\u3044\u3046\u3053\u3068\u3092\u8a66\u307f\u3066\u3044\u307e\u3059\u3002\u3042\u307e\u308a\u3046\u307e\u304f\u3044\u3063\u3066\u3044\u306a\u3044\u306e\u3067\u3059\u304c\u3068\u308a\u3042\u3048\u305a\u5f15\u7528\u3057\u3066\u304a\u304d\u307e\u3059\u3002 Zorn\u306e\u88dc\u984c \u96c6\u5408X\u306b\u304a\u3051\u308b\u95a2\u4fc2\u2266\u304c\u3001 (1) x\u2266x\u3001 (2) x\u2266y, y\u2266z \u21d2 x\u2266z\u3001 (3) x\u2266y, y\u2266x \u21d2 x=y \u3092\u6e80\u305f\u3059\u3068\u304d\u3001(X;\u2266)\u3092\u9806\u5e8f\u96c6\u5408\u3068\u3044\u3044\u307e\u3059\u3002 X\u306e\u5143x,y\u304cx\u2266y\u307e\u305f\u306fy\u2266x\u3092\u6e80\u305f\u3059\u3068\u304dx,y\u306f\u6bd4\u8f03\u53ef\u80fd\u3067\u3042\u308b\u3068\u3044\u3044\u307e\u3059\u3002 X\u306e\u4efb\u610f\u306e2\u5143\u304c\u6bd4\u8f03\u53ef\u80fd\u3067\u3042\u308b\u3068\u304d\u3001(X;\u2266)\u306f\u5168\u9806\u5e8f\u96c6\u5408\u307e\u305f\u306f\u9396\u3067\u3042\u308b\u3068\u3044\u3044\u307e\u3059\u3002 Y\u2286X\u3068\u3059\u308b\u3068(Y;\u2266)\u3082\u9806\u5e8f\u96c6\u5408\u3068\u306a\u308a\u307e\u3059\u3002 (Y;\u2266\u2026"}