{
  "name": "The set.mm Axiom Table",
  "description": "Every $a statement in Metamath's set.mm — logical axioms, definitions and syntax constructors kept apart — with the number of the library's 47,621 theorems whose proof closure reaches it, and that count as a share of the library.",
  "version": "2026-08-13",
  "sha256": "9d453a5edd7a2f333abd726827d4ca462496931cd10feca226622c336be40320",
  "url": "https://f-keys.com/gonzalgo/setmm-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": {
    "Metamath": "set.mm",
    "theorems": 47621
  },
  "fields": [
    "label",
    "role",
    "dependents",
    "share_of_library_pct",
    "entry_points",
    "amplification"
  ],
  "displayed": [
    {
      "key": "label",
      "label": "label"
    },
    {
      "key": "role",
      "label": "role"
    },
    {
      "key": "dependents",
      "label": "theorems depending"
    },
    {
      "key": "share_of_library_pct",
      "label": "share of library"
    },
    {
      "key": "entry_points",
      "label": "entry points"
    },
    {
      "key": "amplification",
      "label": "amplification"
    }
  ],
  "rows": [
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      "role": "axiom",
      "dependents": 47562,
      "share_of_library_pct": 99.88,
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      "amplification": 9.0
    },
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      "amplification": 4.1
    },
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    },
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      "label": "ax-2",
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      "share_of_library_pct": 99.59,
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      "amplification": 3648.3
    },
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      "amplification": 5.7
    },
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      "label": "wceq",
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