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      "statement": "# Erdős and Lovász: the local lemma in hypergraph colouring\n\nEstablished a local probabilistic lemma giving sufficient dependency and probability conditions under which none of a family of bad events occurs, within a broader study of three-chromatic hypergraphs.\n\n## Scientific scope\n\nThe record is the exact two-author 1975 proceedings paper and the lemma proved there. It is an existential result in that paper, not the later general formulations or constructive resampling algorithms.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nPaul Erdős; László Lovász\n\nThe named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.\n\n\n\n## Original sources\n\n- [Rényi Institute copy of Erdős-Lovász hypergraph paper](https://www.renyi.hu/~p_erdos/1975-34.pdf)\n- [UCSD Erdős Problems record for 1975 paper](https://mathweb.ucsd.edu/~erdosproblems/erdos/newproblems/ThreeChromaticHypergraphs.html)\n",
      "summary": "Established a local probabilistic lemma giving sufficient dependency and probability conditions under which none of a family of bad events occurs, within a broader study of three-chromatic hypergraphs.",
      "title": "Erdős and Lovász: the local lemma in hypergraph colouring"
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    "id": "erdos-lovasz-local-lemma-1975",
    "entry_id": "erdos-lovasz-local-lemma-1975",
    "revision": 1,
    "title": "Erdős and Lovász: the local lemma in hypergraph colouring",
    "context": "Combinatorics and discrete mathematics",
    "track": "THEOREM",
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    "what_changed": "Established a local probabilistic nonoccurrence lemma within the hypergraph-colouring analysis.",
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