{
  "challenge_module": "ComparatorChallenges.Brenier",
  "solution_module": "OAI.Analysis.Brenier.Stability",
  "theorem_names": [
    "OAI.Problem358.one_third_stability",
    "OAI.Problem358.one_third_exponent_is_sharp"
  ],
  "definition_names": [
    "OAI.Problem358.E",
    "OAI.Problem358.uniformMeasure",
    "OAI.Problem358.IsSupported",
    "OAI.Problem358.IsCoupling",
    "OAI.Problem358.quadraticPlanCost",
    "OAI.Problem358.wasserstein2",
    "OAI.Problem358.graphPlan",
    "OAI.Problem358.IsQuadraticOptimalMap",
    "OAI.Problem358.IsUniqueQuadraticOptimalMap",
    "OAI.Problem358.mapL2Dist",
    "OAI.Problem358.cube",
    "OAI.Problem358.HasExactlyThreeAtoms"
  ],
  "permitted_axioms": [
    "propext",
    "Quot.sound",
    "Classical.choice"
  ],
  "enable_nanoda": false
}