{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:76dbfbbc-79a6-4b5a-88d3-c31378d27611",
  "labels": {
    "zh-CN": "极大元",
    "en": "maximal element"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "4759778fb890e269f1449f351c57f5700070064b6ed21d8f59a9fa73be422193",
  "occurrences": [
    {
      "concept_id": "urn:uuid:76dbfbbc-79a6-4b5a-88d3-c31378d27611",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-01/05-infinite-sets",
      "anchor": "first-67f091608ab977a826ea-zh",
      "chapter": "1",
      "section": "1.5",
      "offset": 8515,
      "range": [
        13144,
        13383
      ],
      "source_revision": "de98ef3b57633eb615044c4c10101bc445e6695597e0d0703fc5fd583f6a2664",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "极大元(maximal element)",
      "context": {
        "range": [
          12537,
          13385
        ],
        "quote": "\n\n> [!theorem] <a class=\"object-permalink\" href=\"#theorem-1-6\">定理 1.6</a> · 佐恩引理 (Zorn’s lemma)\n>\n> 设 $(P,\\leq)$ 是非空偏序集，且每个全序子集（<u class=\"concept-term\" data-concept-identity=\"urn:uuid:61fd4411-3d4a-4e1d-8127-2b7adfd4ce07\" data-concept-route=\"/concept-identities#concept-61fd4411-3d4a-4e1d-8127-2b7adfd4ce07\" id=\"first-f400ddf3c821a7c31818-zh\">链(chain)</u>）在 $P$ 中都有<u class=\"concept-term\" data-concept-identity=\"urn:uuid:831ad068-9b9d-44d5-bf37-2ad01936ba60\" data-concept-route=\"/concept-identities#concept-831ad068-9b9d-44d5-bf37-2ad01936ba60\" id=\"first-96bc35f3513f48ffce16-zh\">上界(upper bound)</u>，则 $P$ 有<u class=\"concept-term\" data-concept-identity=\"urn:uuid:76dbfbbc-79a6-4b5a-88d3-c31378d27611\" data-concept-route=\"/concept-identities#concept-76dbfbbc-79a6-4b5a-88d3-c31378d27611\" id=\"first-67f091608ab977a826ea-zh\">极大元(maximal element)</u>。\n",
        "quote_sha256": "53b8c9d98bad601271abfdefdb4cb77b52772f5adf7a232b1e528d3dbb3e196b",
        "environment": "theorem",
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-01/05-infinite-sets",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-6f0767114189e4efc9a3d51f"
    }
  ],
  "registered_positions": [
    {
      "route": "zh/chapter-01/05-infinite-sets",
      "lang": "zh-CN",
      "section": "1.5",
      "signal": "term-mark",
      "label": "极大元",
      "english": "maximal element",
      "offset": 6179
    }
  ],
  "statements": [],
  "resolved_references": [
    {
      "raw": "href=\"#theorem-1-6\"",
      "href": "#theorem-1-6",
      "range": [
        12580,
        12599
      ],
      "relation": "references",
      "target_route": "zh/chapter-01/05-infinite-sets",
      "target_anchor": "theorem-1-6",
      "resolved": true,
      "reason": null,
      "source_revision": "de98ef3b57633eb615044c4c10101bc445e6695597e0d0703fc5fd583f6a2664",
      "source_route": "zh/chapter-01/05-infinite-sets",
      "occurrence_id": "occ-6f0767114189e4efc9a3d51f"
    }
  ],
  "reading_order": [
    "occ-6f0767114189e4efc9a3d51f"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 1,
    "located_occurrences": 1,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "3b7fda69912ee10b31517045d88fa0bee3b9f9b5c9c2bc597ce98af9e3772b14",
  "optional_enrichments": []
}
