{
  "passed": true,
  "theorems": 8,
  "lean_version": "Lean (version 4.27.0, x86_64-w64-windows-gnu, commit db93fe1608548721853390a10cd40580fe7d22ae, Release)",
  "source_sha256": "1ae108981f60143dc37e174a412c5620dba338312c37c6d5265440a9faa55974",
  "axiom_dependencies": {
    "positive_identity": [
      "propext",
      "Classical.choice",
      "Quot.sound"
    ],
    "positive_joint": [
      "propext",
      "Classical.choice",
      "Quot.sound"
    ],
    "positive_not_separate": [
      "propext",
      "Quot.sound"
    ],
    "corrected_criterion": [
      "propext",
      "Classical.choice",
      "Quot.sound"
    ],
    "separate_sufficient": [
      "propext",
      "Classical.choice",
      "Quot.sound"
    ],
    "joint_does_not_imply_separate": [
      "propext",
      "Classical.choice",
      "Quot.sound"
    ],
    "rational_corrected_criterion": [
      "propext",
      "Classical.choice",
      "Quot.sound"
    ],
    "two_samples_suffice": [
      "propext",
      "Classical.choice",
      "Quot.sound"
    ]
  },
  "scope": "Integer polynomial arithmetic, including rational coefficients encoded with a common nonzero denominator. Lie theoretic translation and physical conclusions are outside Lean."
}