{
  "name": "The Metamath Axiom Table",
  "description": "Every $a statement across five Metamath databases spanning five foundations, with the number of that database's theorems whose proof closure reaches it and the number citing it directly. Assertions are separated from well-formedness constructors by typecode.",
  "version": "2026-08-13",
  "sha256": "d72dc18cd2863adbae44cb82145f8a6e6ee4952e9c25324f890c9b5441416fa1",
  "url": "https://f-keys.com/gonzalgo/metamath-axioms/",
  "seriesDoi": "https://doi.org/10.5281/zenodo.21900625",
  "license": "https://creativecommons.org/licenses/by/4.0/",
  "producedBy": {
    "software": "gonzalgo",
    "url": "https://pypi.org/project/gonzalgo/",
    "paper": "https://doi.org/10.5281/zenodo.21769846"
  },
  "measured": {
    "databases": "set.mm, iset.mm, nf.mm, ql.mm, hol.mm",
    "revision": "7ddd528c948ae375618ad1ca476b28b9a0eec7d6",
    "fetched": "2026-08-13"
  },
  "fields": [
    "database",
    "foundation",
    "label",
    "typecode",
    "role",
    "dependents",
    "share_of_db_pct",
    "entry_points",
    "source_revision"
  ],
  "displayed": [
    {
      "key": "database",
      "label": "database"
    },
    {
      "key": "label",
      "label": "label"
    },
    {
      "key": "role",
      "label": "role"
    },
    {
      "key": "typecode",
      "label": "typecode"
    },
    {
      "key": "dependents",
      "label": "theorems depending"
    },
    {
      "key": "share_of_db_pct",
      "label": "share of db"
    },
    {
      "key": "entry_points",
      "label": "entry points"
    }
  ],
  "rows": [
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      "database": "set.mm",
      "foundation": "ZFC, classical first-order",
      "label": "ax-mp",
      "typecode": "|-",
      "role": "assertion",
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      "entry_points": 5317,
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    },
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      "database": "set.mm",
      "foundation": "ZFC, classical first-order",
      "label": "wi",
      "typecode": "wff",
      "role": "syntax constructor",
      "dependents": 47611,
      "share_of_db_pct": 99.87,
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      "source_revision": "7ddd528c948ae375618ad1ca476b28b9a0eec7d6"
    },
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      "foundation": "ZFC, classical first-order",
      "label": "ax-1",
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      "label": "ax-2",
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    },
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      "label": "wn",
      "typecode": "wff",
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