{
  "scope": "certified runs and their served drawings; no proof of canvas pixels",
  "runs": {
    "a": {
      "points": 189,
      "links": 339,
      "origins": 16,
      "connected": 13,
      "faded": 3,
      "claims": 267,
      "halves": 719,
      "meetings": 14,
      "seeds": [
        7001,
        9001
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "b": {
      "points": 222,
      "links": 433,
      "origins": 15,
      "connected": 13,
      "faded": 2,
      "claims": 274,
      "halves": 830,
      "meetings": 14,
      "seeds": [
        7002,
        9002
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "c": {
      "points": 245,
      "links": 462,
      "origins": 12,
      "connected": 11,
      "faded": 1,
      "claims": 271,
      "halves": 773,
      "meetings": 11,
      "seeds": [
        7003,
        9028
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "d": {
      "points": 228,
      "links": 420,
      "origins": 18,
      "connected": 12,
      "faded": 6,
      "claims": 384,
      "halves": 1125,
      "meetings": 14,
      "seeds": [
        7004,
        9004
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "e": {
      "points": 220,
      "links": 420,
      "origins": 16,
      "connected": 14,
      "faded": 2,
      "claims": 272,
      "halves": 783,
      "meetings": 15,
      "seeds": [
        7005,
        9005
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "f": {
      "points": 248,
      "links": 456,
      "origins": 13,
      "connected": 12,
      "faded": 1,
      "claims": 274,
      "halves": 752,
      "meetings": 12,
      "seeds": [
        7006,
        9031
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "g": {
      "points": 234,
      "links": 463,
      "origins": 13,
      "connected": 11,
      "faded": 2,
      "claims": 286,
      "halves": 875,
      "meetings": 10,
      "seeds": [
        7007,
        9007
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "h": {
      "points": 207,
      "links": 391,
      "origins": 12,
      "connected": 12,
      "faded": 0,
      "claims": 207,
      "halves": 587,
      "meetings": 11,
      "seeds": [
        7008,
        9008
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "i": {
      "points": 228,
      "links": 428,
      "origins": 14,
      "connected": 13,
      "faded": 1,
      "claims": 254,
      "halves": 724,
      "meetings": 13,
      "seeds": [
        7009,
        9009
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "j": {
      "points": 192,
      "links": 357,
      "origins": 15,
      "connected": 12,
      "faded": 3,
      "claims": 270,
      "halves": 793,
      "meetings": 11,
      "seeds": [
        7010,
        9010
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "k": {
      "points": 236,
      "links": 444,
      "origins": 15,
      "connected": 12,
      "faded": 3,
      "claims": 314,
      "halves": 915,
      "meetings": 12,
      "seeds": [
        7011,
        9011
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "l": {
      "points": 211,
      "links": 387,
      "origins": 17,
      "connected": 12,
      "faded": 5,
      "claims": 341,
      "halves": 978,
      "meetings": 12,
      "seeds": [
        7012,
        9012
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "m": {
      "points": 179,
      "links": 339,
      "origins": 13,
      "connected": 11,
      "faded": 2,
      "claims": 231,
      "halves": 658,
      "meetings": 11,
      "seeds": [
        7013,
        9013
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "n": {
      "points": 218,
      "links": 412,
      "origins": 11,
      "connected": 10,
      "faded": 1,
      "claims": 244,
      "halves": 704,
      "meetings": 12,
      "seeds": [
        7014,
        9039
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "o": {
      "points": 193,
      "links": 351,
      "origins": 14,
      "connected": 11,
      "faded": 3,
      "claims": 271,
      "halves": 764,
      "meetings": 11,
      "seeds": [
        7015,
        9015
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "p": {
      "points": 214,
      "links": 414,
      "origins": 15,
      "connected": 12,
      "faded": 3,
      "claims": 292,
      "halves": 870,
      "meetings": 13,
      "seeds": [
        7016,
        9041
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "q": {
      "points": 227,
      "links": 441,
      "origins": 12,
      "connected": 11,
      "faded": 1,
      "claims": 253,
      "halves": 758,
      "meetings": 10,
      "seeds": [
        7017,
        9017
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "r": {
      "points": 252,
      "links": 482,
      "origins": 17,
      "connected": 12,
      "faded": 5,
      "claims": 382,
      "halves": 1145,
      "meetings": 15,
      "seeds": [
        7018,
        9018
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "s": {
      "points": 170,
      "links": 310,
      "origins": 12,
      "connected": 11,
      "faded": 1,
      "claims": 196,
      "halves": 535,
      "meetings": 10,
      "seeds": [
        7019,
        9019
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "t": {
      "points": 203,
      "links": 374,
      "origins": 19,
      "connected": 15,
      "faded": 4,
      "claims": 307,
      "halves": 885,
      "meetings": 15,
      "seeds": [
        7020,
        9020
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "u": {
      "points": 255,
      "links": 480,
      "origins": 12,
      "connected": 11,
      "faded": 1,
      "claims": 281,
      "halves": 799,
      "meetings": 11,
      "seeds": [
        7021,
        9071
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "v": {
      "points": 197,
      "links": 374,
      "origins": 16,
      "connected": 13,
      "faded": 3,
      "claims": 275,
      "halves": 793,
      "meetings": 14,
      "seeds": [
        7022,
        9022
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "w": {
      "points": 219,
      "links": 425,
      "origins": 18,
      "connected": 13,
      "faded": 5,
      "claims": 349,
      "halves": 1044,
      "meetings": 13,
      "seeds": [
        7023,
        9023
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "x": {
      "points": 223,
      "links": 406,
      "origins": 15,
      "connected": 13,
      "faded": 2,
      "claims": 275,
      "halves": 741,
      "meetings": 12,
      "seeds": [
        7024,
        9049
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    },
    "y": {
      "points": 248,
      "links": 467,
      "origins": 14,
      "connected": 12,
      "faded": 2,
      "claims": 300,
      "halves": 862,
      "meetings": 13,
      "seeds": [
        7025,
        9025
      ],
      "drawing_matches_certified_data": true,
      "ends_as_one_network": true
    }
  },
  "lean": {
    "Growth.Run.reached": [
      "propext",
      "Quot.sound"
    ],
    "Growth.tiny_valid": [
      "propext",
      "Quot.sound"
    ],
    "Growth.notTight_rejected": [
      "propext",
      "Quot.sound"
    ],
    "Growth.overBudget_rejected": [
      "propext"
    ],
    "Growth.heldTwice_rejected": [
      "propext"
    ],
    "Growth.overlong_rejected": [
      "propext",
      "Quot.sound"
    ],
    "Growth.misplacedMeeting_rejected": [
      "propext"
    ],
    "Growth.offSlot_rejected": [
      "propext"
    ],
    "Growth.runA_valid": [
      "propext",
      "Quot.sound",
      "Growth.runA_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runA_reached": [
      "propext",
      "Quot.sound",
      "Growth.runA_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runB_valid": [
      "propext",
      "Quot.sound",
      "Growth.runB_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runB_reached": [
      "propext",
      "Quot.sound",
      "Growth.runB_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runC_valid": [
      "propext",
      "Quot.sound",
      "Growth.runC_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runC_reached": [
      "propext",
      "Quot.sound",
      "Growth.runC_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runD_valid": [
      "propext",
      "Quot.sound",
      "Growth.runD_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runD_reached": [
      "propext",
      "Quot.sound",
      "Growth.runD_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runE_valid": [
      "propext",
      "Quot.sound",
      "Growth.runE_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runE_reached": [
      "propext",
      "Quot.sound",
      "Growth.runE_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runF_valid": [
      "propext",
      "Quot.sound",
      "Growth.runF_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runF_reached": [
      "propext",
      "Quot.sound",
      "Growth.runF_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runG_valid": [
      "propext",
      "Quot.sound",
      "Growth.runG_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runG_reached": [
      "propext",
      "Quot.sound",
      "Growth.runG_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runH_valid": [
      "propext",
      "Quot.sound",
      "Growth.runH_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runH_reached": [
      "propext",
      "Quot.sound",
      "Growth.runH_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runI_valid": [
      "propext",
      "Quot.sound",
      "Growth.runI_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runI_reached": [
      "propext",
      "Quot.sound",
      "Growth.runI_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runJ_valid": [
      "propext",
      "Quot.sound",
      "Growth.runJ_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runJ_reached": [
      "propext",
      "Quot.sound",
      "Growth.runJ_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runK_valid": [
      "propext",
      "Quot.sound",
      "Growth.runK_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runK_reached": [
      "propext",
      "Quot.sound",
      "Growth.runK_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runL_valid": [
      "propext",
      "Quot.sound",
      "Growth.runL_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runL_reached": [
      "propext",
      "Quot.sound",
      "Growth.runL_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runM_valid": [
      "propext",
      "Quot.sound",
      "Growth.runM_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runM_reached": [
      "propext",
      "Quot.sound",
      "Growth.runM_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runN_valid": [
      "propext",
      "Quot.sound",
      "Growth.runN_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runN_reached": [
      "propext",
      "Quot.sound",
      "Growth.runN_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runO_valid": [
      "propext",
      "Quot.sound",
      "Growth.runO_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runO_reached": [
      "propext",
      "Quot.sound",
      "Growth.runO_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runP_valid": [
      "propext",
      "Quot.sound",
      "Growth.runP_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runP_reached": [
      "propext",
      "Quot.sound",
      "Growth.runP_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runQ_valid": [
      "propext",
      "Quot.sound",
      "Growth.runQ_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runQ_reached": [
      "propext",
      "Quot.sound",
      "Growth.runQ_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runR_valid": [
      "propext",
      "Quot.sound",
      "Growth.runR_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runR_reached": [
      "propext",
      "Quot.sound",
      "Growth.runR_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runS_valid": [
      "propext",
      "Quot.sound",
      "Growth.runS_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runS_reached": [
      "propext",
      "Quot.sound",
      "Growth.runS_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runT_valid": [
      "propext",
      "Quot.sound",
      "Growth.runT_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runT_reached": [
      "propext",
      "Quot.sound",
      "Growth.runT_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runU_valid": [
      "propext",
      "Quot.sound",
      "Growth.runU_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runU_reached": [
      "propext",
      "Quot.sound",
      "Growth.runU_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runV_valid": [
      "propext",
      "Quot.sound",
      "Growth.runV_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runV_reached": [
      "propext",
      "Quot.sound",
      "Growth.runV_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runW_valid": [
      "propext",
      "Quot.sound",
      "Growth.runW_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runW_reached": [
      "propext",
      "Quot.sound",
      "Growth.runW_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runX_valid": [
      "propext",
      "Quot.sound",
      "Growth.runX_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runX_reached": [
      "propext",
      "Quot.sound",
      "Growth.runX_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runY_valid": [
      "propext",
      "Quot.sound",
      "Growth.runY_valid._native.native_decide.ax_1_1"
    ],
    "Growth.runY_reached": [
      "propext",
      "Quot.sound",
      "Growth.runY_valid._native.native_decide.ax_1_1"
    ]
  },
  "lean_version": "Lean (version 4.35.0, x86_64-unknown-linux-gnu, commit eb6cafb7290e8bd5f2937522d8d804f58f02bafc, Release)",
  "trusted": [
    "Lean kernel",
    "Lean compiler for the native_decide instance checks (the per-theorem native_decide axioms listed above)",
    "this source bridge",
    "browser canvas drawing; measured separately, outside the proof"
  ]
}