{
  "challenge_module": "ComparatorChallenges.Paper1",
  "solution_module": "ComparatorChallenges.Paper1Solution",
  "theorem_names": [
    "ComparatorChallenges.Paper1.cp_iff_tensor",
    "ComparatorChallenges.Paper1.cp_iff_choi",
    "ComparatorChallenges.Paper1.cp_iff_kraus",
    "ComparatorChallenges.Paper1.cp_iff_rank_kraus",
    "ComparatorChallenges.Paper1.cp_iff_stinespring",
    "ComparatorChallenges.Paper1.cp_iff_rank_stinespring",
    "ComparatorChallenges.Paper1.power_Icc_zero_one_operatorMonotoneOn_Ici",
    "ComparatorChallenges.Paper1.operatorConcaveOn_rpow_Ici",
    "ComparatorChallenges.Paper1.operatorConvexOn_rpow_Ici",
    "ComparatorChallenges.Paper1.power_Icc_neg_one_zero_neg_operatorMonotoneOn_Ioi",
    "ComparatorChallenges.Paper1.operatorConcaveOn_neg_rpow_Ioi",
    "ComparatorChallenges.Paper1.jensenColumn_of_opConvexIciAll",
    "ComparatorChallenges.Paper1.jointlyConvexOn_generalizedPerspective_psdSet_pdSet",
    "ComparatorChallenges.Paper1.jointlyConcaveOn_generalizedPerspective_psdSet_pdSet",
    "ComparatorChallenges.Paper1.jointlyConcaveOn_liebTraceMap_pdSetLM",
    "ComparatorChallenges.Paper1.jointlyConvexOn_liebTraceMap_pdSetLM",
    "ComparatorChallenges.Paper1.jointlyConvexOn_andoTraceMap_pdSetLM",
    "ComparatorChallenges.Paper1.sandwichedRenyiDiv_monotone",
    "ComparatorChallenges.Paper1.sandwichedRenyiDivNN_monotone",
    "ComparatorChallenges.Paper1.strongSubadditivity_of_state",
    "ComparatorChallenges.Paper1.tendsto_sandwichedRenyiDiv_umegakiNorm_right",
    "ComparatorChallenges.Paper1.tendsto_sandwichedRenyiDiv_umegakiNorm_of_pd",
    "ComparatorChallenges.Paper1.sandwichedRenyiDivNN_tripartiteSSA",
    "ComparatorChallenges.Paper1.sandwichedRenyiDiv_tripartiteSSA",
    "ComparatorChallenges.Paper1.OperatorConvex.eq_zero_of_nontrivial",
    "ComparatorChallenges.Paper1.OperatorConcave.eq_zero_of_nontrivial",
    "ComparatorChallenges.Paper1.OperatorConvexAll.eq_zero",
    "ComparatorChallenges.Paper1.OperatorConcaveAll.eq_zero",
    "ComparatorChallenges.Paper1.operatorConvexOnAll_Ici_sq",
    "ComparatorChallenges.Paper1.jensenFinite_of_opConvexIciAll",
    "ComparatorChallenges.Paper1.sandwichedRenyiDivNN_monotone_of_isDensity",
    "ComparatorChallenges.Paper1.tendsto_sandwichedRenyiDiv_umegakiNorm_of_supportLE",
    "ComparatorChallenges.Paper1.jensenFinite_of_opConvexOnAll_of_isOpen",
    "ComparatorChallenges.Paper1.jensenFinite_of_opConvexOnAll_of_endpoints"
  ],
  "permitted_axioms": [
    "propext",
    "Quot.sound",
    "Classical.choice"
  ],
  "enable_nanoda": true
}