OAI/Analysis/PlanarPacking/Roots.lean

GitHub source file

3269 declarations, 0 contain sorry, 0 declared as axioms

Certified roots of unity

Integer enclosures for the 1024th roots of unity, obtained from a certified Taylor approximation and repeated squaring.

  1. def OAI.SharpPlanar.rootPhase line 14
  2. lemma OAI.SharpPlanar.rootPhase_eq_pow line 16
  3. lemma OAI.SharpPlanar.rootPhase_add line 22
  4. lemma OAI.SharpPlanar.rootPhase_periodic line 29
  5. lemma OAI.SharpPlanar.rootPhase_mod line 35
  6. lemma OAI.SharpPlanar.rootPhase_cos line 39
  7. def OAI.SharpPlanar.IntegerRoots.fact0 line 53
  8. lemma OAI.SharpPlanar.IntegerRoots.fact0_check line 54
  9. def OAI.SharpPlanar.IntegerRoots.fact1 line 55
  10. lemma OAI.SharpPlanar.IntegerRoots.fact1_check line 56
  11. def OAI.SharpPlanar.IntegerRoots.fact2 line 57
  12. lemma OAI.SharpPlanar.IntegerRoots.fact2_check line 58
  13. def OAI.SharpPlanar.IntegerRoots.fact3 line 59
  14. lemma OAI.SharpPlanar.IntegerRoots.fact3_check line 60
  15. def OAI.SharpPlanar.IntegerRoots.fact4 line 61
  16. lemma OAI.SharpPlanar.IntegerRoots.fact4_check line 62
  17. def OAI.SharpPlanar.IntegerRoots.fact5 line 63
  18. lemma OAI.SharpPlanar.IntegerRoots.fact5_check line 64
  19. def OAI.SharpPlanar.IntegerRoots.fact6 line 65
  20. lemma OAI.SharpPlanar.IntegerRoots.fact6_check line 66
  21. def OAI.SharpPlanar.IntegerRoots.fact7 line 67
  22. lemma OAI.SharpPlanar.IntegerRoots.fact7_check line 68
  23. def OAI.SharpPlanar.IntegerRoots.fact8 line 69
  24. lemma OAI.SharpPlanar.IntegerRoots.fact8_check line 70
  25. def OAI.SharpPlanar.IntegerRoots.fact9 line 71
  26. lemma OAI.SharpPlanar.IntegerRoots.fact9_check line 72
  27. def OAI.SharpPlanar.IntegerRoots.fact10 line 73
  28. lemma OAI.SharpPlanar.IntegerRoots.fact10_check line 74
  29. def OAI.SharpPlanar.IntegerRoots.fact11 line 75
  30. lemma OAI.SharpPlanar.IntegerRoots.fact11_check line 76
  31. def OAI.SharpPlanar.IntegerRoots.fact12 line 77
  32. lemma OAI.SharpPlanar.IntegerRoots.fact12_check line 78
  33. def OAI.SharpPlanar.IntegerRoots.fact13 line 79
  34. lemma OAI.SharpPlanar.IntegerRoots.fact13_check line 80
  35. def OAI.SharpPlanar.IntegerRoots.fact14 line 81
  36. lemma OAI.SharpPlanar.IntegerRoots.fact14_check line 82
  37. def OAI.SharpPlanar.IntegerRoots.fact15 line 83
  38. lemma OAI.SharpPlanar.IntegerRoots.fact15_check line 84
  39. def OAI.SharpPlanar.IntegerRoots.fact16 line 85
  40. lemma OAI.SharpPlanar.IntegerRoots.fact16_check line 86
  41. def OAI.SharpPlanar.IntegerRoots.fact17 line 87
  42. lemma OAI.SharpPlanar.IntegerRoots.fact17_check line 88
  43. def OAI.SharpPlanar.IntegerRoots.fact18 line 89
  44. lemma OAI.SharpPlanar.IntegerRoots.fact18_check line 90
  45. def OAI.SharpPlanar.IntegerRoots.fact19 line 91
  46. lemma OAI.SharpPlanar.IntegerRoots.fact19_check line 92
  47. def OAI.SharpPlanar.IntegerRoots.fact20 line 93
  48. lemma OAI.SharpPlanar.IntegerRoots.fact20_check line 94
  49. def OAI.SharpPlanar.IntegerRoots.fact21 line 95
  50. lemma OAI.SharpPlanar.IntegerRoots.fact21_check line 96
  51. def OAI.SharpPlanar.IntegerRoots.fact22 line 97
  52. lemma OAI.SharpPlanar.IntegerRoots.fact22_check line 98
  53. def OAI.SharpPlanar.IntegerRoots.fact23 line 99
  54. lemma OAI.SharpPlanar.IntegerRoots.fact23_check line 100
  55. def OAI.SharpPlanar.IntegerRoots.fact24 line 101
  56. lemma OAI.SharpPlanar.IntegerRoots.fact24_check line 102
  57. def OAI.SharpPlanar.IntegerRoots.fact25 line 103
  58. lemma OAI.SharpPlanar.IntegerRoots.fact25_check line 104
  59. def OAI.SharpPlanar.IntegerRoots.fact26 line 105
  60. lemma OAI.SharpPlanar.IntegerRoots.fact26_check line 106
  61. def OAI.SharpPlanar.IntegerRoots.fact27 line 107
  62. lemma OAI.SharpPlanar.IntegerRoots.fact27_check line 108
  63. def OAI.SharpPlanar.IntegerRoots.fact28 line 109
  64. lemma OAI.SharpPlanar.IntegerRoots.fact28_check line 110
  65. def OAI.SharpPlanar.IntegerRoots.fact29 line 111
  66. lemma OAI.SharpPlanar.IntegerRoots.fact29_check line 112
  67. def OAI.SharpPlanar.IntegerRoots.fact30 line 113
  68. lemma OAI.SharpPlanar.IntegerRoots.fact30_check line 114
  69. def OAI.SharpPlanar.IntegerRoots.fact31 line 115
  70. lemma OAI.SharpPlanar.IntegerRoots.fact31_check line 116
  71. def OAI.SharpPlanar.IntegerRoots.fact32 line 117
  72. lemma OAI.SharpPlanar.IntegerRoots.fact32_check line 118
  73. def OAI.SharpPlanar.IntegerRoots.phaseInput line 119
  74. lemma OAI.SharpPlanar.IntegerRoots.phaseInput_contains line 120
  75. def OAI.SharpPlanar.IntegerRoots.small line 126
  76. lemma OAI.SharpPlanar.IntegerRoots.small_contains line 127
  77. def OAI.SharpPlanar.IntegerRoots.poly32 line 129
  78. lemma OAI.SharpPlanar.IntegerRoots.h32 line 130
  79. def OAI.SharpPlanar.IntegerRoots.mul31 line 132
  80. def OAI.SharpPlanar.IntegerRoots.poly31 line 133
  81. lemma OAI.SharpPlanar.IntegerRoots.h31 line 134
  82. def OAI.SharpPlanar.IntegerRoots.mul30 line 136
  83. def OAI.SharpPlanar.IntegerRoots.poly30 line 137
  84. lemma OAI.SharpPlanar.IntegerRoots.h30 line 138
  85. def OAI.SharpPlanar.IntegerRoots.mul29 line 140
  86. def OAI.SharpPlanar.IntegerRoots.poly29 line 141
  87. lemma OAI.SharpPlanar.IntegerRoots.h29 line 142
  88. def OAI.SharpPlanar.IntegerRoots.mul28 line 144
  89. def OAI.SharpPlanar.IntegerRoots.poly28 line 145
  90. lemma OAI.SharpPlanar.IntegerRoots.h28 line 146
  91. def OAI.SharpPlanar.IntegerRoots.mul27 line 148
  92. def OAI.SharpPlanar.IntegerRoots.poly27 line 149
  93. lemma OAI.SharpPlanar.IntegerRoots.h27 line 150
  94. def OAI.SharpPlanar.IntegerRoots.mul26 line 152
  95. def OAI.SharpPlanar.IntegerRoots.poly26 line 153
  96. lemma OAI.SharpPlanar.IntegerRoots.h26 line 154
  97. def OAI.SharpPlanar.IntegerRoots.mul25 line 156
  98. def OAI.SharpPlanar.IntegerRoots.poly25 line 157
  99. lemma OAI.SharpPlanar.IntegerRoots.h25 line 158
  100. def OAI.SharpPlanar.IntegerRoots.mul24 line 160
  101. def OAI.SharpPlanar.IntegerRoots.poly24 line 161
  102. lemma OAI.SharpPlanar.IntegerRoots.h24 line 162
  103. def OAI.SharpPlanar.IntegerRoots.mul23 line 164
  104. def OAI.SharpPlanar.IntegerRoots.poly23 line 165
  105. lemma OAI.SharpPlanar.IntegerRoots.h23 line 166
  106. def OAI.SharpPlanar.IntegerRoots.mul22 line 168
  107. def OAI.SharpPlanar.IntegerRoots.poly22 line 169
  108. lemma OAI.SharpPlanar.IntegerRoots.h22 line 170
  109. def OAI.SharpPlanar.IntegerRoots.mul21 line 172
  110. def OAI.SharpPlanar.IntegerRoots.poly21 line 173
  111. lemma OAI.SharpPlanar.IntegerRoots.h21 line 174
  112. def OAI.SharpPlanar.IntegerRoots.mul20 line 176
  113. def OAI.SharpPlanar.IntegerRoots.poly20 line 177
  114. lemma OAI.SharpPlanar.IntegerRoots.h20 line 178
  115. def OAI.SharpPlanar.IntegerRoots.mul19 line 180
  116. def OAI.SharpPlanar.IntegerRoots.poly19 line 181
  117. lemma OAI.SharpPlanar.IntegerRoots.h19 line 182
  118. def OAI.SharpPlanar.IntegerRoots.mul18 line 184
  119. def OAI.SharpPlanar.IntegerRoots.poly18 line 185
  120. lemma OAI.SharpPlanar.IntegerRoots.h18 line 186
  121. def OAI.SharpPlanar.IntegerRoots.mul17 line 188
  122. def OAI.SharpPlanar.IntegerRoots.poly17 line 189
  123. lemma OAI.SharpPlanar.IntegerRoots.h17 line 190
  124. def OAI.SharpPlanar.IntegerRoots.mul16 line 192
  125. def OAI.SharpPlanar.IntegerRoots.poly16 line 193
  126. lemma OAI.SharpPlanar.IntegerRoots.h16 line 194
  127. def OAI.SharpPlanar.IntegerRoots.mul15 line 196
  128. def OAI.SharpPlanar.IntegerRoots.poly15 line 197
  129. lemma OAI.SharpPlanar.IntegerRoots.h15 line 198
  130. def OAI.SharpPlanar.IntegerRoots.mul14 line 200
  131. def OAI.SharpPlanar.IntegerRoots.poly14 line 201
  132. lemma OAI.SharpPlanar.IntegerRoots.h14 line 202
  133. def OAI.SharpPlanar.IntegerRoots.mul13 line 204
  134. def OAI.SharpPlanar.IntegerRoots.poly13 line 205
  135. lemma OAI.SharpPlanar.IntegerRoots.h13 line 206
  136. def OAI.SharpPlanar.IntegerRoots.mul12 line 208
  137. def OAI.SharpPlanar.IntegerRoots.poly12 line 209
  138. lemma OAI.SharpPlanar.IntegerRoots.h12 line 210
  139. def OAI.SharpPlanar.IntegerRoots.mul11 line 212
  140. def OAI.SharpPlanar.IntegerRoots.poly11 line 213
  141. lemma OAI.SharpPlanar.IntegerRoots.h11 line 214
  142. def OAI.SharpPlanar.IntegerRoots.mul10 line 216
  143. def OAI.SharpPlanar.IntegerRoots.poly10 line 217
  144. lemma OAI.SharpPlanar.IntegerRoots.h10 line 218
  145. def OAI.SharpPlanar.IntegerRoots.mul9 line 220
  146. def OAI.SharpPlanar.IntegerRoots.poly9 line 221
  147. lemma OAI.SharpPlanar.IntegerRoots.h9 line 222
  148. def OAI.SharpPlanar.IntegerRoots.mul8 line 224
  149. def OAI.SharpPlanar.IntegerRoots.poly8 line 225
  150. lemma OAI.SharpPlanar.IntegerRoots.h8 line 226
  151. def OAI.SharpPlanar.IntegerRoots.mul7 line 228
  152. def OAI.SharpPlanar.IntegerRoots.poly7 line 229
  153. lemma OAI.SharpPlanar.IntegerRoots.h7 line 230
  154. def OAI.SharpPlanar.IntegerRoots.mul6 line 232
  155. def OAI.SharpPlanar.IntegerRoots.poly6 line 233
  156. lemma OAI.SharpPlanar.IntegerRoots.h6 line 234
  157. def OAI.SharpPlanar.IntegerRoots.mul5 line 236
  158. def OAI.SharpPlanar.IntegerRoots.poly5 line 237
  159. lemma OAI.SharpPlanar.IntegerRoots.h5 line 238
  160. def OAI.SharpPlanar.IntegerRoots.mul4 line 240
  161. def OAI.SharpPlanar.IntegerRoots.poly4 line 241
  162. lemma OAI.SharpPlanar.IntegerRoots.h4 line 242
  163. def OAI.SharpPlanar.IntegerRoots.mul3 line 244
  164. def OAI.SharpPlanar.IntegerRoots.poly3 line 245
  165. lemma OAI.SharpPlanar.IntegerRoots.h3 line 246
  166. def OAI.SharpPlanar.IntegerRoots.mul2 line 248
  167. def OAI.SharpPlanar.IntegerRoots.poly2 line 249
  168. lemma OAI.SharpPlanar.IntegerRoots.h2 line 250
  169. def OAI.SharpPlanar.IntegerRoots.mul1 line 252
  170. def OAI.SharpPlanar.IntegerRoots.poly1 line 253
  171. lemma OAI.SharpPlanar.IntegerRoots.h1 line 254
  172. def OAI.SharpPlanar.IntegerRoots.mul0 line 256
  173. def OAI.SharpPlanar.IntegerRoots.poly0 line 257
  174. lemma OAI.SharpPlanar.IntegerRoots.h0 line 258
  175. def OAI.SharpPlanar.IntegerRoots.sq0 line 260
  176. lemma OAI.SharpPlanar.IntegerRoots.sq0_contains line 261
  177. def OAI.SharpPlanar.IntegerRoots.sq1 line 263
  178. lemma OAI.SharpPlanar.IntegerRoots.sq1_contains line 264
  179. def OAI.SharpPlanar.IntegerRoots.sq2 line 266
  180. lemma OAI.SharpPlanar.IntegerRoots.sq2_contains line 267
  181. def OAI.SharpPlanar.IntegerRoots.sq3 line 269
  182. lemma OAI.SharpPlanar.IntegerRoots.sq3_contains line 270
  183. def OAI.SharpPlanar.IntegerRoots.sq4 line 272
  184. lemma OAI.SharpPlanar.IntegerRoots.sq4_contains line 273
  185. def OAI.SharpPlanar.IntegerRoots.sq5 line 275
  186. lemma OAI.SharpPlanar.IntegerRoots.sq5_contains line 276
  187. def OAI.SharpPlanar.IntegerRoots.sq6 line 278
  188. lemma OAI.SharpPlanar.IntegerRoots.sq6_contains line 279
  189. def OAI.SharpPlanar.IntegerRoots.sq7 line 281
  190. lemma OAI.SharpPlanar.IntegerRoots.sq7_contains line 282
  191. def OAI.SharpPlanar.IntegerRoots.sq8 line 284
  192. lemma OAI.SharpPlanar.IntegerRoots.sq8_contains line 285
  193. def OAI.SharpPlanar.IntegerRoots.sq9 line 287
  194. lemma OAI.SharpPlanar.IntegerRoots.sq9_contains line 288
  195. def OAI.SharpPlanar.IntegerRoots.sq10 line 290
  196. lemma OAI.SharpPlanar.IntegerRoots.sq10_contains line 291
  197. def OAI.SharpPlanar.IntegerRoots.sq11 line 293
  198. lemma OAI.SharpPlanar.IntegerRoots.sq11_contains line 294
  199. lemma OAI.SharpPlanar.IntegerRoots.phase_contains line 296
  200. def OAI.SharpPlanar.IntegerRoots.root0 line 304
  201. lemma OAI.SharpPlanar.IntegerRoots.root0_contains line 305
  202. def OAI.SharpPlanar.IntegerRoots.root1 line 307
  203. lemma OAI.SharpPlanar.IntegerRoots.root1_contains line 308
  204. def OAI.SharpPlanar.IntegerRoots.root2 line 309
  205. lemma OAI.SharpPlanar.IntegerRoots.root2_contains line 310
  206. def OAI.SharpPlanar.IntegerRoots.mid3 line 313
  207. lemma OAI.SharpPlanar.IntegerRoots.mid3_contains line 314
  208. def OAI.SharpPlanar.IntegerRoots.root3 line 315
  209. lemma OAI.SharpPlanar.IntegerRoots.root3_contains line 316
  210. def OAI.SharpPlanar.IntegerRoots.root4 line 319
  211. lemma OAI.SharpPlanar.IntegerRoots.root4_contains line 320
  212. def OAI.SharpPlanar.IntegerRoots.mid5 line 323
  213. lemma OAI.SharpPlanar.IntegerRoots.mid5_contains line 324
  214. def OAI.SharpPlanar.IntegerRoots.root5 line 325
  215. lemma OAI.SharpPlanar.IntegerRoots.root5_contains line 326
  216. def OAI.SharpPlanar.IntegerRoots.root6 line 329
  217. lemma OAI.SharpPlanar.IntegerRoots.root6_contains line 330
  218. def OAI.SharpPlanar.IntegerRoots.mid7 line 333
  219. lemma OAI.SharpPlanar.IntegerRoots.mid7_contains line 334
  220. def OAI.SharpPlanar.IntegerRoots.root7 line 335
  221. lemma OAI.SharpPlanar.IntegerRoots.root7_contains line 336
  222. def OAI.SharpPlanar.IntegerRoots.root8 line 339
  223. lemma OAI.SharpPlanar.IntegerRoots.root8_contains line 340
  224. def OAI.SharpPlanar.IntegerRoots.mid9 line 343
  225. lemma OAI.SharpPlanar.IntegerRoots.mid9_contains line 344
  226. def OAI.SharpPlanar.IntegerRoots.root9 line 345
  227. lemma OAI.SharpPlanar.IntegerRoots.root9_contains line 346
  228. def OAI.SharpPlanar.IntegerRoots.root10 line 349
  229. lemma OAI.SharpPlanar.IntegerRoots.root10_contains line 350
  230. def OAI.SharpPlanar.IntegerRoots.mid11 line 353
  231. lemma OAI.SharpPlanar.IntegerRoots.mid11_contains line 354
  232. def OAI.SharpPlanar.IntegerRoots.root11 line 355
  233. lemma OAI.SharpPlanar.IntegerRoots.root11_contains line 356
  234. def OAI.SharpPlanar.IntegerRoots.root12 line 359
  235. lemma OAI.SharpPlanar.IntegerRoots.root12_contains line 360
  236. def OAI.SharpPlanar.IntegerRoots.mid13 line 363
  237. lemma OAI.SharpPlanar.IntegerRoots.mid13_contains line 364
  238. def OAI.SharpPlanar.IntegerRoots.root13 line 365
  239. lemma OAI.SharpPlanar.IntegerRoots.root13_contains line 366
  240. def OAI.SharpPlanar.IntegerRoots.root14 line 369
  241. lemma OAI.SharpPlanar.IntegerRoots.root14_contains line 370
  242. def OAI.SharpPlanar.IntegerRoots.mid15 line 373
  243. lemma OAI.SharpPlanar.IntegerRoots.mid15_contains line 374
  244. def OAI.SharpPlanar.IntegerRoots.root15 line 375
  245. lemma OAI.SharpPlanar.IntegerRoots.root15_contains line 376
  246. def OAI.SharpPlanar.IntegerRoots.root16 line 379
  247. lemma OAI.SharpPlanar.IntegerRoots.root16_contains line 380
  248. def OAI.SharpPlanar.IntegerRoots.mid17 line 383
  249. lemma OAI.SharpPlanar.IntegerRoots.mid17_contains line 384
  250. def OAI.SharpPlanar.IntegerRoots.root17 line 385
  251. lemma OAI.SharpPlanar.IntegerRoots.root17_contains line 386
  252. def OAI.SharpPlanar.IntegerRoots.root18 line 389
  253. lemma OAI.SharpPlanar.IntegerRoots.root18_contains line 390
  254. def OAI.SharpPlanar.IntegerRoots.mid19 line 393
  255. lemma OAI.SharpPlanar.IntegerRoots.mid19_contains line 394
  256. def OAI.SharpPlanar.IntegerRoots.root19 line 395
  257. lemma OAI.SharpPlanar.IntegerRoots.root19_contains line 396
  258. def OAI.SharpPlanar.IntegerRoots.root20 line 399
  259. lemma OAI.SharpPlanar.IntegerRoots.root20_contains line 400
  260. def OAI.SharpPlanar.IntegerRoots.mid21 line 403
  261. lemma OAI.SharpPlanar.IntegerRoots.mid21_contains line 404
  262. def OAI.SharpPlanar.IntegerRoots.root21 line 405
  263. lemma OAI.SharpPlanar.IntegerRoots.root21_contains line 406
  264. def OAI.SharpPlanar.IntegerRoots.root22 line 409
  265. lemma OAI.SharpPlanar.IntegerRoots.root22_contains line 410
  266. def OAI.SharpPlanar.IntegerRoots.mid23 line 413
  267. lemma OAI.SharpPlanar.IntegerRoots.mid23_contains line 414
  268. def OAI.SharpPlanar.IntegerRoots.root23 line 415
  269. lemma OAI.SharpPlanar.IntegerRoots.root23_contains line 416
  270. def OAI.SharpPlanar.IntegerRoots.root24 line 419
  271. lemma OAI.SharpPlanar.IntegerRoots.root24_contains line 420
  272. def OAI.SharpPlanar.IntegerRoots.mid25 line 423
  273. lemma OAI.SharpPlanar.IntegerRoots.mid25_contains line 424
  274. def OAI.SharpPlanar.IntegerRoots.root25 line 425
  275. lemma OAI.SharpPlanar.IntegerRoots.root25_contains line 426
  276. def OAI.SharpPlanar.IntegerRoots.root26 line 429
  277. lemma OAI.SharpPlanar.IntegerRoots.root26_contains line 430
  278. def OAI.SharpPlanar.IntegerRoots.mid27 line 433
  279. lemma OAI.SharpPlanar.IntegerRoots.mid27_contains line 434
  280. def OAI.SharpPlanar.IntegerRoots.root27 line 435
  281. lemma OAI.SharpPlanar.IntegerRoots.root27_contains line 436
  282. def OAI.SharpPlanar.IntegerRoots.root28 line 439
  283. lemma OAI.SharpPlanar.IntegerRoots.root28_contains line 440
  284. def OAI.SharpPlanar.IntegerRoots.mid29 line 443
  285. lemma OAI.SharpPlanar.IntegerRoots.mid29_contains line 444
  286. def OAI.SharpPlanar.IntegerRoots.root29 line 445
  287. lemma OAI.SharpPlanar.IntegerRoots.root29_contains line 446
  288. def OAI.SharpPlanar.IntegerRoots.root30 line 449
  289. lemma OAI.SharpPlanar.IntegerRoots.root30_contains line 450
  290. def OAI.SharpPlanar.IntegerRoots.mid31 line 453
  291. lemma OAI.SharpPlanar.IntegerRoots.mid31_contains line 454
  292. def OAI.SharpPlanar.IntegerRoots.root31 line 455
  293. lemma OAI.SharpPlanar.IntegerRoots.root31_contains line 456
  294. def OAI.SharpPlanar.IntegerRoots.root32 line 459
  295. lemma OAI.SharpPlanar.IntegerRoots.root32_contains line 460
  296. def OAI.SharpPlanar.IntegerRoots.mid33 line 463
  297. lemma OAI.SharpPlanar.IntegerRoots.mid33_contains line 464
  298. def OAI.SharpPlanar.IntegerRoots.root33 line 465
  299. lemma OAI.SharpPlanar.IntegerRoots.root33_contains line 466
  300. def OAI.SharpPlanar.IntegerRoots.root34 line 469
  301. lemma OAI.SharpPlanar.IntegerRoots.root34_contains line 470
  302. def OAI.SharpPlanar.IntegerRoots.mid35 line 473
  303. lemma OAI.SharpPlanar.IntegerRoots.mid35_contains line 474
  304. def OAI.SharpPlanar.IntegerRoots.root35 line 475
  305. lemma OAI.SharpPlanar.IntegerRoots.root35_contains line 476
  306. def OAI.SharpPlanar.IntegerRoots.root36 line 479
  307. lemma OAI.SharpPlanar.IntegerRoots.root36_contains line 480
  308. def OAI.SharpPlanar.IntegerRoots.mid37 line 483
  309. lemma OAI.SharpPlanar.IntegerRoots.mid37_contains line 484
  310. def OAI.SharpPlanar.IntegerRoots.root37 line 485
  311. lemma OAI.SharpPlanar.IntegerRoots.root37_contains line 486
  312. def OAI.SharpPlanar.IntegerRoots.root38 line 489
  313. lemma OAI.SharpPlanar.IntegerRoots.root38_contains line 490
  314. def OAI.SharpPlanar.IntegerRoots.mid39 line 493
  315. lemma OAI.SharpPlanar.IntegerRoots.mid39_contains line 494
  316. def OAI.SharpPlanar.IntegerRoots.root39 line 495
  317. lemma OAI.SharpPlanar.IntegerRoots.root39_contains line 496
  318. def OAI.SharpPlanar.IntegerRoots.root40 line 499
  319. lemma OAI.SharpPlanar.IntegerRoots.root40_contains line 500
  320. def OAI.SharpPlanar.IntegerRoots.mid41 line 503
  321. lemma OAI.SharpPlanar.IntegerRoots.mid41_contains line 504
  322. def OAI.SharpPlanar.IntegerRoots.root41 line 505
  323. lemma OAI.SharpPlanar.IntegerRoots.root41_contains line 506
  324. def OAI.SharpPlanar.IntegerRoots.root42 line 509
  325. lemma OAI.SharpPlanar.IntegerRoots.root42_contains line 510
  326. def OAI.SharpPlanar.IntegerRoots.mid43 line 513
  327. lemma OAI.SharpPlanar.IntegerRoots.mid43_contains line 514
  328. def OAI.SharpPlanar.IntegerRoots.root43 line 515
  329. lemma OAI.SharpPlanar.IntegerRoots.root43_contains line 516
  330. def OAI.SharpPlanar.IntegerRoots.root44 line 519
  331. lemma OAI.SharpPlanar.IntegerRoots.root44_contains line 520
  332. def OAI.SharpPlanar.IntegerRoots.mid45 line 523
  333. lemma OAI.SharpPlanar.IntegerRoots.mid45_contains line 524
  334. def OAI.SharpPlanar.IntegerRoots.root45 line 525
  335. lemma OAI.SharpPlanar.IntegerRoots.root45_contains line 526
  336. def OAI.SharpPlanar.IntegerRoots.root46 line 529
  337. lemma OAI.SharpPlanar.IntegerRoots.root46_contains line 530
  338. def OAI.SharpPlanar.IntegerRoots.mid47 line 533
  339. lemma OAI.SharpPlanar.IntegerRoots.mid47_contains line 534
  340. def OAI.SharpPlanar.IntegerRoots.root47 line 535
  341. lemma OAI.SharpPlanar.IntegerRoots.root47_contains line 536
  342. def OAI.SharpPlanar.IntegerRoots.root48 line 539
  343. lemma OAI.SharpPlanar.IntegerRoots.root48_contains line 540
  344. def OAI.SharpPlanar.IntegerRoots.mid49 line 543
  345. lemma OAI.SharpPlanar.IntegerRoots.mid49_contains line 544
  346. def OAI.SharpPlanar.IntegerRoots.root49 line 545
  347. lemma OAI.SharpPlanar.IntegerRoots.root49_contains line 546
  348. def OAI.SharpPlanar.IntegerRoots.root50 line 549
  349. lemma OAI.SharpPlanar.IntegerRoots.root50_contains line 550
  350. def OAI.SharpPlanar.IntegerRoots.mid51 line 553
  351. lemma OAI.SharpPlanar.IntegerRoots.mid51_contains line 554
  352. def OAI.SharpPlanar.IntegerRoots.root51 line 555
  353. lemma OAI.SharpPlanar.IntegerRoots.root51_contains line 556
  354. def OAI.SharpPlanar.IntegerRoots.root52 line 559
  355. lemma OAI.SharpPlanar.IntegerRoots.root52_contains line 560
  356. def OAI.SharpPlanar.IntegerRoots.mid53 line 563
  357. lemma OAI.SharpPlanar.IntegerRoots.mid53_contains line 564
  358. def OAI.SharpPlanar.IntegerRoots.root53 line 565
  359. lemma OAI.SharpPlanar.IntegerRoots.root53_contains line 566
  360. def OAI.SharpPlanar.IntegerRoots.root54 line 569
  361. lemma OAI.SharpPlanar.IntegerRoots.root54_contains line 570
  362. def OAI.SharpPlanar.IntegerRoots.mid55 line 573
  363. lemma OAI.SharpPlanar.IntegerRoots.mid55_contains line 574
  364. def OAI.SharpPlanar.IntegerRoots.root55 line 575
  365. lemma OAI.SharpPlanar.IntegerRoots.root55_contains line 576
  366. def OAI.SharpPlanar.IntegerRoots.root56 line 579
  367. lemma OAI.SharpPlanar.IntegerRoots.root56_contains line 580
  368. def OAI.SharpPlanar.IntegerRoots.mid57 line 583
  369. lemma OAI.SharpPlanar.IntegerRoots.mid57_contains line 584
  370. def OAI.SharpPlanar.IntegerRoots.root57 line 585
  371. lemma OAI.SharpPlanar.IntegerRoots.root57_contains line 586
  372. def OAI.SharpPlanar.IntegerRoots.root58 line 589
  373. lemma OAI.SharpPlanar.IntegerRoots.root58_contains line 590
  374. def OAI.SharpPlanar.IntegerRoots.mid59 line 593
  375. lemma OAI.SharpPlanar.IntegerRoots.mid59_contains line 594
  376. def OAI.SharpPlanar.IntegerRoots.root59 line 595
  377. lemma OAI.SharpPlanar.IntegerRoots.root59_contains line 596
  378. def OAI.SharpPlanar.IntegerRoots.root60 line 599
  379. lemma OAI.SharpPlanar.IntegerRoots.root60_contains line 600
  380. def OAI.SharpPlanar.IntegerRoots.mid61 line 603
  381. lemma OAI.SharpPlanar.IntegerRoots.mid61_contains line 604
  382. def OAI.SharpPlanar.IntegerRoots.root61 line 605
  383. lemma OAI.SharpPlanar.IntegerRoots.root61_contains line 606
  384. def OAI.SharpPlanar.IntegerRoots.root62 line 609
  385. lemma OAI.SharpPlanar.IntegerRoots.root62_contains line 610
  386. def OAI.SharpPlanar.IntegerRoots.mid63 line 613
  387. lemma OAI.SharpPlanar.IntegerRoots.mid63_contains line 614
  388. def OAI.SharpPlanar.IntegerRoots.root63 line 615
  389. lemma OAI.SharpPlanar.IntegerRoots.root63_contains line 616
  390. def OAI.SharpPlanar.IntegerRoots.root64 line 619
  391. lemma OAI.SharpPlanar.IntegerRoots.root64_contains line 620
  392. def OAI.SharpPlanar.IntegerRoots.mid65 line 623
  393. lemma OAI.SharpPlanar.IntegerRoots.mid65_contains line 624
  394. def OAI.SharpPlanar.IntegerRoots.root65 line 625
  395. lemma OAI.SharpPlanar.IntegerRoots.root65_contains line 626
  396. def OAI.SharpPlanar.IntegerRoots.root66 line 629
  397. lemma OAI.SharpPlanar.IntegerRoots.root66_contains line 630
  398. def OAI.SharpPlanar.IntegerRoots.mid67 line 633
  399. lemma OAI.SharpPlanar.IntegerRoots.mid67_contains line 634
  400. def OAI.SharpPlanar.IntegerRoots.root67 line 635
  401. lemma OAI.SharpPlanar.IntegerRoots.root67_contains line 636
  402. def OAI.SharpPlanar.IntegerRoots.root68 line 639
  403. lemma OAI.SharpPlanar.IntegerRoots.root68_contains line 640
  404. def OAI.SharpPlanar.IntegerRoots.mid69 line 643
  405. lemma OAI.SharpPlanar.IntegerRoots.mid69_contains line 644
  406. def OAI.SharpPlanar.IntegerRoots.root69 line 645
  407. lemma OAI.SharpPlanar.IntegerRoots.root69_contains line 646
  408. def OAI.SharpPlanar.IntegerRoots.root70 line 649
  409. lemma OAI.SharpPlanar.IntegerRoots.root70_contains line 650
  410. def OAI.SharpPlanar.IntegerRoots.mid71 line 653
  411. lemma OAI.SharpPlanar.IntegerRoots.mid71_contains line 654
  412. def OAI.SharpPlanar.IntegerRoots.root71 line 655
  413. lemma OAI.SharpPlanar.IntegerRoots.root71_contains line 656
  414. def OAI.SharpPlanar.IntegerRoots.root72 line 659
  415. lemma OAI.SharpPlanar.IntegerRoots.root72_contains line 660
  416. def OAI.SharpPlanar.IntegerRoots.mid73 line 663
  417. lemma OAI.SharpPlanar.IntegerRoots.mid73_contains line 664
  418. def OAI.SharpPlanar.IntegerRoots.root73 line 665
  419. lemma OAI.SharpPlanar.IntegerRoots.root73_contains line 666
  420. def OAI.SharpPlanar.IntegerRoots.root74 line 669
  421. lemma OAI.SharpPlanar.IntegerRoots.root74_contains line 670
  422. def OAI.SharpPlanar.IntegerRoots.mid75 line 673
  423. lemma OAI.SharpPlanar.IntegerRoots.mid75_contains line 674
  424. def OAI.SharpPlanar.IntegerRoots.root75 line 675
  425. lemma OAI.SharpPlanar.IntegerRoots.root75_contains line 676
  426. def OAI.SharpPlanar.IntegerRoots.root76 line 679
  427. lemma OAI.SharpPlanar.IntegerRoots.root76_contains line 680
  428. def OAI.SharpPlanar.IntegerRoots.mid77 line 683
  429. lemma OAI.SharpPlanar.IntegerRoots.mid77_contains line 684
  430. def OAI.SharpPlanar.IntegerRoots.root77 line 685
  431. lemma OAI.SharpPlanar.IntegerRoots.root77_contains line 686
  432. def OAI.SharpPlanar.IntegerRoots.root78 line 689
  433. lemma OAI.SharpPlanar.IntegerRoots.root78_contains line 690
  434. def OAI.SharpPlanar.IntegerRoots.mid79 line 693
  435. lemma OAI.SharpPlanar.IntegerRoots.mid79_contains line 694
  436. def OAI.SharpPlanar.IntegerRoots.root79 line 695
  437. lemma OAI.SharpPlanar.IntegerRoots.root79_contains line 696
  438. def OAI.SharpPlanar.IntegerRoots.root80 line 699
  439. lemma OAI.SharpPlanar.IntegerRoots.root80_contains line 700
  440. def OAI.SharpPlanar.IntegerRoots.mid81 line 703
  441. lemma OAI.SharpPlanar.IntegerRoots.mid81_contains line 704
  442. def OAI.SharpPlanar.IntegerRoots.root81 line 705
  443. lemma OAI.SharpPlanar.IntegerRoots.root81_contains line 706
  444. def OAI.SharpPlanar.IntegerRoots.root82 line 709
  445. lemma OAI.SharpPlanar.IntegerRoots.root82_contains line 710
  446. def OAI.SharpPlanar.IntegerRoots.mid83 line 713
  447. lemma OAI.SharpPlanar.IntegerRoots.mid83_contains line 714
  448. def OAI.SharpPlanar.IntegerRoots.root83 line 715
  449. lemma OAI.SharpPlanar.IntegerRoots.root83_contains line 716
  450. def OAI.SharpPlanar.IntegerRoots.root84 line 719
  451. lemma OAI.SharpPlanar.IntegerRoots.root84_contains line 720
  452. def OAI.SharpPlanar.IntegerRoots.mid85 line 723
  453. lemma OAI.SharpPlanar.IntegerRoots.mid85_contains line 724
  454. def OAI.SharpPlanar.IntegerRoots.root85 line 725
  455. lemma OAI.SharpPlanar.IntegerRoots.root85_contains line 726
  456. def OAI.SharpPlanar.IntegerRoots.root86 line 729
  457. lemma OAI.SharpPlanar.IntegerRoots.root86_contains line 730
  458. def OAI.SharpPlanar.IntegerRoots.mid87 line 733
  459. lemma OAI.SharpPlanar.IntegerRoots.mid87_contains line 734
  460. def OAI.SharpPlanar.IntegerRoots.root87 line 735
  461. lemma OAI.SharpPlanar.IntegerRoots.root87_contains line 736
  462. def OAI.SharpPlanar.IntegerRoots.root88 line 739
  463. lemma OAI.SharpPlanar.IntegerRoots.root88_contains line 740
  464. def OAI.SharpPlanar.IntegerRoots.mid89 line 743
  465. lemma OAI.SharpPlanar.IntegerRoots.mid89_contains line 744
  466. def OAI.SharpPlanar.IntegerRoots.root89 line 745
  467. lemma OAI.SharpPlanar.IntegerRoots.root89_contains line 746
  468. def OAI.SharpPlanar.IntegerRoots.root90 line 749
  469. lemma OAI.SharpPlanar.IntegerRoots.root90_contains line 750
  470. def OAI.SharpPlanar.IntegerRoots.mid91 line 753
  471. lemma OAI.SharpPlanar.IntegerRoots.mid91_contains line 754
  472. def OAI.SharpPlanar.IntegerRoots.root91 line 755
  473. lemma OAI.SharpPlanar.IntegerRoots.root91_contains line 756
  474. def OAI.SharpPlanar.IntegerRoots.root92 line 759
  475. lemma OAI.SharpPlanar.IntegerRoots.root92_contains line 760
  476. def OAI.SharpPlanar.IntegerRoots.mid93 line 763
  477. lemma OAI.SharpPlanar.IntegerRoots.mid93_contains line 764
  478. def OAI.SharpPlanar.IntegerRoots.root93 line 765
  479. lemma OAI.SharpPlanar.IntegerRoots.root93_contains line 766
  480. def OAI.SharpPlanar.IntegerRoots.root94 line 769
  481. lemma OAI.SharpPlanar.IntegerRoots.root94_contains line 770
  482. def OAI.SharpPlanar.IntegerRoots.mid95 line 773
  483. lemma OAI.SharpPlanar.IntegerRoots.mid95_contains line 774
  484. def OAI.SharpPlanar.IntegerRoots.root95 line 775
  485. lemma OAI.SharpPlanar.IntegerRoots.root95_contains line 776
  486. def OAI.SharpPlanar.IntegerRoots.root96 line 779
  487. lemma OAI.SharpPlanar.IntegerRoots.root96_contains line 780
  488. def OAI.SharpPlanar.IntegerRoots.mid97 line 783
  489. lemma OAI.SharpPlanar.IntegerRoots.mid97_contains line 784
  490. def OAI.SharpPlanar.IntegerRoots.root97 line 785
  491. lemma OAI.SharpPlanar.IntegerRoots.root97_contains line 786
  492. def OAI.SharpPlanar.IntegerRoots.root98 line 789
  493. lemma OAI.SharpPlanar.IntegerRoots.root98_contains line 790
  494. def OAI.SharpPlanar.IntegerRoots.mid99 line 793
  495. lemma OAI.SharpPlanar.IntegerRoots.mid99_contains line 794
  496. def OAI.SharpPlanar.IntegerRoots.root99 line 795
  497. lemma OAI.SharpPlanar.IntegerRoots.root99_contains line 796
  498. def OAI.SharpPlanar.IntegerRoots.root100 line 799
  499. lemma OAI.SharpPlanar.IntegerRoots.root100_contains line 800
  500. def OAI.SharpPlanar.IntegerRoots.mid101 line 803
  501. lemma OAI.SharpPlanar.IntegerRoots.mid101_contains line 804
  502. def OAI.SharpPlanar.IntegerRoots.root101 line 805
  503. lemma OAI.SharpPlanar.IntegerRoots.root101_contains line 806
  504. def OAI.SharpPlanar.IntegerRoots.root102 line 809
  505. lemma OAI.SharpPlanar.IntegerRoots.root102_contains line 810
  506. def OAI.SharpPlanar.IntegerRoots.mid103 line 813
  507. lemma OAI.SharpPlanar.IntegerRoots.mid103_contains line 814
  508. def OAI.SharpPlanar.IntegerRoots.root103 line 815
  509. lemma OAI.SharpPlanar.IntegerRoots.root103_contains line 816
  510. def OAI.SharpPlanar.IntegerRoots.root104 line 819
  511. lemma OAI.SharpPlanar.IntegerRoots.root104_contains line 820
  512. def OAI.SharpPlanar.IntegerRoots.mid105 line 823
  513. lemma OAI.SharpPlanar.IntegerRoots.mid105_contains line 824
  514. def OAI.SharpPlanar.IntegerRoots.root105 line 825
  515. lemma OAI.SharpPlanar.IntegerRoots.root105_contains line 826
  516. def OAI.SharpPlanar.IntegerRoots.root106 line 829
  517. lemma OAI.SharpPlanar.IntegerRoots.root106_contains line 830
  518. def OAI.SharpPlanar.IntegerRoots.mid107 line 833
  519. lemma OAI.SharpPlanar.IntegerRoots.mid107_contains line 834
  520. def OAI.SharpPlanar.IntegerRoots.root107 line 835
  521. lemma OAI.SharpPlanar.IntegerRoots.root107_contains line 836
  522. def OAI.SharpPlanar.IntegerRoots.root108 line 839
  523. lemma OAI.SharpPlanar.IntegerRoots.root108_contains line 840
  524. def OAI.SharpPlanar.IntegerRoots.mid109 line 843
  525. lemma OAI.SharpPlanar.IntegerRoots.mid109_contains line 844
  526. def OAI.SharpPlanar.IntegerRoots.root109 line 845
  527. lemma OAI.SharpPlanar.IntegerRoots.root109_contains line 846
  528. def OAI.SharpPlanar.IntegerRoots.root110 line 849
  529. lemma OAI.SharpPlanar.IntegerRoots.root110_contains line 850
  530. def OAI.SharpPlanar.IntegerRoots.mid111 line 853
  531. lemma OAI.SharpPlanar.IntegerRoots.mid111_contains line 854
  532. def OAI.SharpPlanar.IntegerRoots.root111 line 855
  533. lemma OAI.SharpPlanar.IntegerRoots.root111_contains line 856
  534. def OAI.SharpPlanar.IntegerRoots.root112 line 859
  535. lemma OAI.SharpPlanar.IntegerRoots.root112_contains line 860
  536. def OAI.SharpPlanar.IntegerRoots.mid113 line 863
  537. lemma OAI.SharpPlanar.IntegerRoots.mid113_contains line 864
  538. def OAI.SharpPlanar.IntegerRoots.root113 line 865
  539. lemma OAI.SharpPlanar.IntegerRoots.root113_contains line 866
  540. def OAI.SharpPlanar.IntegerRoots.root114 line 869
  541. lemma OAI.SharpPlanar.IntegerRoots.root114_contains line 870
  542. def OAI.SharpPlanar.IntegerRoots.mid115 line 873
  543. lemma OAI.SharpPlanar.IntegerRoots.mid115_contains line 874
  544. def OAI.SharpPlanar.IntegerRoots.root115 line 875
  545. lemma OAI.SharpPlanar.IntegerRoots.root115_contains line 876
  546. def OAI.SharpPlanar.IntegerRoots.root116 line 879
  547. lemma OAI.SharpPlanar.IntegerRoots.root116_contains line 880
  548. def OAI.SharpPlanar.IntegerRoots.mid117 line 883
  549. lemma OAI.SharpPlanar.IntegerRoots.mid117_contains line 884
  550. def OAI.SharpPlanar.IntegerRoots.root117 line 885
  551. lemma OAI.SharpPlanar.IntegerRoots.root117_contains line 886
  552. def OAI.SharpPlanar.IntegerRoots.root118 line 889
  553. lemma OAI.SharpPlanar.IntegerRoots.root118_contains line 890
  554. def OAI.SharpPlanar.IntegerRoots.mid119 line 893
  555. lemma OAI.SharpPlanar.IntegerRoots.mid119_contains line 894
  556. def OAI.SharpPlanar.IntegerRoots.root119 line 895
  557. lemma OAI.SharpPlanar.IntegerRoots.root119_contains line 896
  558. def OAI.SharpPlanar.IntegerRoots.root120 line 899
  559. lemma OAI.SharpPlanar.IntegerRoots.root120_contains line 900
  560. def OAI.SharpPlanar.IntegerRoots.mid121 line 903
  561. lemma OAI.SharpPlanar.IntegerRoots.mid121_contains line 904
  562. def OAI.SharpPlanar.IntegerRoots.root121 line 905
  563. lemma OAI.SharpPlanar.IntegerRoots.root121_contains line 906
  564. def OAI.SharpPlanar.IntegerRoots.root122 line 909
  565. lemma OAI.SharpPlanar.IntegerRoots.root122_contains line 910
  566. def OAI.SharpPlanar.IntegerRoots.mid123 line 913
  567. lemma OAI.SharpPlanar.IntegerRoots.mid123_contains line 914
  568. def OAI.SharpPlanar.IntegerRoots.root123 line 915
  569. lemma OAI.SharpPlanar.IntegerRoots.root123_contains line 916
  570. def OAI.SharpPlanar.IntegerRoots.root124 line 919
  571. lemma OAI.SharpPlanar.IntegerRoots.root124_contains line 920
  572. def OAI.SharpPlanar.IntegerRoots.mid125 line 923
  573. lemma OAI.SharpPlanar.IntegerRoots.mid125_contains line 924
  574. def OAI.SharpPlanar.IntegerRoots.root125 line 925
  575. lemma OAI.SharpPlanar.IntegerRoots.root125_contains line 926
  576. def OAI.SharpPlanar.IntegerRoots.root126 line 929
  577. lemma OAI.SharpPlanar.IntegerRoots.root126_contains line 930
  578. def OAI.SharpPlanar.IntegerRoots.mid127 line 933
  579. lemma OAI.SharpPlanar.IntegerRoots.mid127_contains line 934
  580. def OAI.SharpPlanar.IntegerRoots.root127 line 935
  581. lemma OAI.SharpPlanar.IntegerRoots.root127_contains line 936
  582. def OAI.SharpPlanar.IntegerRoots.root128 line 939
  583. lemma OAI.SharpPlanar.IntegerRoots.root128_contains line 940
  584. def OAI.SharpPlanar.IntegerRoots.mid129 line 943
  585. lemma OAI.SharpPlanar.IntegerRoots.mid129_contains line 944
  586. def OAI.SharpPlanar.IntegerRoots.root129 line 945
  587. lemma OAI.SharpPlanar.IntegerRoots.root129_contains line 946
  588. def OAI.SharpPlanar.IntegerRoots.root130 line 949
  589. lemma OAI.SharpPlanar.IntegerRoots.root130_contains line 950
  590. def OAI.SharpPlanar.IntegerRoots.mid131 line 953
  591. lemma OAI.SharpPlanar.IntegerRoots.mid131_contains line 954
  592. def OAI.SharpPlanar.IntegerRoots.root131 line 955
  593. lemma OAI.SharpPlanar.IntegerRoots.root131_contains line 956
  594. def OAI.SharpPlanar.IntegerRoots.root132 line 959
  595. lemma OAI.SharpPlanar.IntegerRoots.root132_contains line 960
  596. def OAI.SharpPlanar.IntegerRoots.mid133 line 963
  597. lemma OAI.SharpPlanar.IntegerRoots.mid133_contains line 964
  598. def OAI.SharpPlanar.IntegerRoots.root133 line 965
  599. lemma OAI.SharpPlanar.IntegerRoots.root133_contains line 966
  600. def OAI.SharpPlanar.IntegerRoots.root134 line 969
  601. lemma OAI.SharpPlanar.IntegerRoots.root134_contains line 970
  602. def OAI.SharpPlanar.IntegerRoots.mid135 line 973
  603. lemma OAI.SharpPlanar.IntegerRoots.mid135_contains line 974
  604. def OAI.SharpPlanar.IntegerRoots.root135 line 975
  605. lemma OAI.SharpPlanar.IntegerRoots.root135_contains line 976
  606. def OAI.SharpPlanar.IntegerRoots.root136 line 979
  607. lemma OAI.SharpPlanar.IntegerRoots.root136_contains line 980
  608. def OAI.SharpPlanar.IntegerRoots.mid137 line 983
  609. lemma OAI.SharpPlanar.IntegerRoots.mid137_contains line 984
  610. def OAI.SharpPlanar.IntegerRoots.root137 line 985
  611. lemma OAI.SharpPlanar.IntegerRoots.root137_contains line 986
  612. def OAI.SharpPlanar.IntegerRoots.root138 line 989
  613. lemma OAI.SharpPlanar.IntegerRoots.root138_contains line 990
  614. def OAI.SharpPlanar.IntegerRoots.mid139 line 993
  615. lemma OAI.SharpPlanar.IntegerRoots.mid139_contains line 994
  616. def OAI.SharpPlanar.IntegerRoots.root139 line 995
  617. lemma OAI.SharpPlanar.IntegerRoots.root139_contains line 996
  618. def OAI.SharpPlanar.IntegerRoots.root140 line 999
  619. lemma OAI.SharpPlanar.IntegerRoots.root140_contains line 1000
  620. def OAI.SharpPlanar.IntegerRoots.mid141 line 1003
  621. lemma OAI.SharpPlanar.IntegerRoots.mid141_contains line 1004
  622. def OAI.SharpPlanar.IntegerRoots.root141 line 1005
  623. lemma OAI.SharpPlanar.IntegerRoots.root141_contains line 1006
  624. def OAI.SharpPlanar.IntegerRoots.root142 line 1009
  625. lemma OAI.SharpPlanar.IntegerRoots.root142_contains line 1010
  626. def OAI.SharpPlanar.IntegerRoots.mid143 line 1013
  627. lemma OAI.SharpPlanar.IntegerRoots.mid143_contains line 1014
  628. def OAI.SharpPlanar.IntegerRoots.root143 line 1015
  629. lemma OAI.SharpPlanar.IntegerRoots.root143_contains line 1016
  630. def OAI.SharpPlanar.IntegerRoots.root144 line 1019
  631. lemma OAI.SharpPlanar.IntegerRoots.root144_contains line 1020
  632. def OAI.SharpPlanar.IntegerRoots.mid145 line 1023
  633. lemma OAI.SharpPlanar.IntegerRoots.mid145_contains line 1024
  634. def OAI.SharpPlanar.IntegerRoots.root145 line 1025
  635. lemma OAI.SharpPlanar.IntegerRoots.root145_contains line 1026
  636. def OAI.SharpPlanar.IntegerRoots.root146 line 1029
  637. lemma OAI.SharpPlanar.IntegerRoots.root146_contains line 1030
  638. def OAI.SharpPlanar.IntegerRoots.mid147 line 1033
  639. lemma OAI.SharpPlanar.IntegerRoots.mid147_contains line 1034
  640. def OAI.SharpPlanar.IntegerRoots.root147 line 1035
  641. lemma OAI.SharpPlanar.IntegerRoots.root147_contains line 1036
  642. def OAI.SharpPlanar.IntegerRoots.root148 line 1039
  643. lemma OAI.SharpPlanar.IntegerRoots.root148_contains line 1040
  644. def OAI.SharpPlanar.IntegerRoots.mid149 line 1043
  645. lemma OAI.SharpPlanar.IntegerRoots.mid149_contains line 1044
  646. def OAI.SharpPlanar.IntegerRoots.root149 line 1045
  647. lemma OAI.SharpPlanar.IntegerRoots.root149_contains line 1046
  648. def OAI.SharpPlanar.IntegerRoots.root150 line 1049
  649. lemma OAI.SharpPlanar.IntegerRoots.root150_contains line 1050
  650. def OAI.SharpPlanar.IntegerRoots.mid151 line 1053
  651. lemma OAI.SharpPlanar.IntegerRoots.mid151_contains line 1054
  652. def OAI.SharpPlanar.IntegerRoots.root151 line 1055
  653. lemma OAI.SharpPlanar.IntegerRoots.root151_contains line 1056
  654. def OAI.SharpPlanar.IntegerRoots.root152 line 1059
  655. lemma OAI.SharpPlanar.IntegerRoots.root152_contains line 1060
  656. def OAI.SharpPlanar.IntegerRoots.mid153 line 1063
  657. lemma OAI.SharpPlanar.IntegerRoots.mid153_contains line 1064
  658. def OAI.SharpPlanar.IntegerRoots.root153 line 1065
  659. lemma OAI.SharpPlanar.IntegerRoots.root153_contains line 1066
  660. def OAI.SharpPlanar.IntegerRoots.root154 line 1069
  661. lemma OAI.SharpPlanar.IntegerRoots.root154_contains line 1070
  662. def OAI.SharpPlanar.IntegerRoots.mid155 line 1073
  663. lemma OAI.SharpPlanar.IntegerRoots.mid155_contains line 1074
  664. def OAI.SharpPlanar.IntegerRoots.root155 line 1075
  665. lemma OAI.SharpPlanar.IntegerRoots.root155_contains line 1076
  666. def OAI.SharpPlanar.IntegerRoots.root156 line 1079
  667. lemma OAI.SharpPlanar.IntegerRoots.root156_contains line 1080
  668. def OAI.SharpPlanar.IntegerRoots.mid157 line 1083
  669. lemma OAI.SharpPlanar.IntegerRoots.mid157_contains line 1084
  670. def OAI.SharpPlanar.IntegerRoots.root157 line 1085
  671. lemma OAI.SharpPlanar.IntegerRoots.root157_contains line 1086
  672. def OAI.SharpPlanar.IntegerRoots.root158 line 1089
  673. lemma OAI.SharpPlanar.IntegerRoots.root158_contains line 1090
  674. def OAI.SharpPlanar.IntegerRoots.mid159 line 1093
  675. lemma OAI.SharpPlanar.IntegerRoots.mid159_contains line 1094
  676. def OAI.SharpPlanar.IntegerRoots.root159 line 1095
  677. lemma OAI.SharpPlanar.IntegerRoots.root159_contains line 1096
  678. def OAI.SharpPlanar.IntegerRoots.root160 line 1099
  679. lemma OAI.SharpPlanar.IntegerRoots.root160_contains line 1100
  680. def OAI.SharpPlanar.IntegerRoots.mid161 line 1103
  681. lemma OAI.SharpPlanar.IntegerRoots.mid161_contains line 1104
  682. def OAI.SharpPlanar.IntegerRoots.root161 line 1105
  683. lemma OAI.SharpPlanar.IntegerRoots.root161_contains line 1106
  684. def OAI.SharpPlanar.IntegerRoots.root162 line 1109
  685. lemma OAI.SharpPlanar.IntegerRoots.root162_contains line 1110
  686. def OAI.SharpPlanar.IntegerRoots.mid163 line 1113
  687. lemma OAI.SharpPlanar.IntegerRoots.mid163_contains line 1114
  688. def OAI.SharpPlanar.IntegerRoots.root163 line 1115
  689. lemma OAI.SharpPlanar.IntegerRoots.root163_contains line 1116
  690. def OAI.SharpPlanar.IntegerRoots.root164 line 1119
  691. lemma OAI.SharpPlanar.IntegerRoots.root164_contains line 1120
  692. def OAI.SharpPlanar.IntegerRoots.mid165 line 1123
  693. lemma OAI.SharpPlanar.IntegerRoots.mid165_contains line 1124
  694. def OAI.SharpPlanar.IntegerRoots.root165 line 1125
  695. lemma OAI.SharpPlanar.IntegerRoots.root165_contains line 1126
  696. def OAI.SharpPlanar.IntegerRoots.root166 line 1129
  697. lemma OAI.SharpPlanar.IntegerRoots.root166_contains line 1130
  698. def OAI.SharpPlanar.IntegerRoots.mid167 line 1133
  699. lemma OAI.SharpPlanar.IntegerRoots.mid167_contains line 1134
  700. def OAI.SharpPlanar.IntegerRoots.root167 line 1135
  701. lemma OAI.SharpPlanar.IntegerRoots.root167_contains line 1136
  702. def OAI.SharpPlanar.IntegerRoots.root168 line 1139
  703. lemma OAI.SharpPlanar.IntegerRoots.root168_contains line 1140
  704. def OAI.SharpPlanar.IntegerRoots.mid169 line 1143
  705. lemma OAI.SharpPlanar.IntegerRoots.mid169_contains line 1144
  706. def OAI.SharpPlanar.IntegerRoots.root169 line 1145
  707. lemma OAI.SharpPlanar.IntegerRoots.root169_contains line 1146
  708. def OAI.SharpPlanar.IntegerRoots.root170 line 1149
  709. lemma OAI.SharpPlanar.IntegerRoots.root170_contains line 1150
  710. def OAI.SharpPlanar.IntegerRoots.mid171 line 1153
  711. lemma OAI.SharpPlanar.IntegerRoots.mid171_contains line 1154
  712. def OAI.SharpPlanar.IntegerRoots.root171 line 1155
  713. lemma OAI.SharpPlanar.IntegerRoots.root171_contains line 1156
  714. def OAI.SharpPlanar.IntegerRoots.root172 line 1159
  715. lemma OAI.SharpPlanar.IntegerRoots.root172_contains line 1160
  716. def OAI.SharpPlanar.IntegerRoots.mid173 line 1163
  717. lemma OAI.SharpPlanar.IntegerRoots.mid173_contains line 1164
  718. def OAI.SharpPlanar.IntegerRoots.root173 line 1165
  719. lemma OAI.SharpPlanar.IntegerRoots.root173_contains line 1166
  720. def OAI.SharpPlanar.IntegerRoots.root174 line 1169
  721. lemma OAI.SharpPlanar.IntegerRoots.root174_contains line 1170
  722. def OAI.SharpPlanar.IntegerRoots.mid175 line 1173
  723. lemma OAI.SharpPlanar.IntegerRoots.mid175_contains line 1174
  724. def OAI.SharpPlanar.IntegerRoots.root175 line 1175
  725. lemma OAI.SharpPlanar.IntegerRoots.root175_contains line 1176
  726. def OAI.SharpPlanar.IntegerRoots.root176 line 1179
  727. lemma OAI.SharpPlanar.IntegerRoots.root176_contains line 1180
  728. def OAI.SharpPlanar.IntegerRoots.mid177 line 1183
  729. lemma OAI.SharpPlanar.IntegerRoots.mid177_contains line 1184
  730. def OAI.SharpPlanar.IntegerRoots.root177 line 1185
  731. lemma OAI.SharpPlanar.IntegerRoots.root177_contains line 1186
  732. def OAI.SharpPlanar.IntegerRoots.root178 line 1189
  733. lemma OAI.SharpPlanar.IntegerRoots.root178_contains line 1190
  734. def OAI.SharpPlanar.IntegerRoots.mid179 line 1193
  735. lemma OAI.SharpPlanar.IntegerRoots.mid179_contains line 1194
  736. def OAI.SharpPlanar.IntegerRoots.root179 line 1195
  737. lemma OAI.SharpPlanar.IntegerRoots.root179_contains line 1196
  738. def OAI.SharpPlanar.IntegerRoots.root180 line 1199
  739. lemma OAI.SharpPlanar.IntegerRoots.root180_contains line 1200
  740. def OAI.SharpPlanar.IntegerRoots.mid181 line 1203
  741. lemma OAI.SharpPlanar.IntegerRoots.mid181_contains line 1204
  742. def OAI.SharpPlanar.IntegerRoots.root181 line 1205
  743. lemma OAI.SharpPlanar.IntegerRoots.root181_contains line 1206
  744. def OAI.SharpPlanar.IntegerRoots.root182 line 1209
  745. lemma OAI.SharpPlanar.IntegerRoots.root182_contains line 1210
  746. def OAI.SharpPlanar.IntegerRoots.mid183 line 1213
  747. lemma OAI.SharpPlanar.IntegerRoots.mid183_contains line 1214
  748. def OAI.SharpPlanar.IntegerRoots.root183 line 1215
  749. lemma OAI.SharpPlanar.IntegerRoots.root183_contains line 1216
  750. def OAI.SharpPlanar.IntegerRoots.root184 line 1219
  751. lemma OAI.SharpPlanar.IntegerRoots.root184_contains line 1220
  752. def OAI.SharpPlanar.IntegerRoots.mid185 line 1223
  753. lemma OAI.SharpPlanar.IntegerRoots.mid185_contains line 1224
  754. def OAI.SharpPlanar.IntegerRoots.root185 line 1225
  755. lemma OAI.SharpPlanar.IntegerRoots.root185_contains line 1226
  756. def OAI.SharpPlanar.IntegerRoots.root186 line 1229
  757. lemma OAI.SharpPlanar.IntegerRoots.root186_contains line 1230
  758. def OAI.SharpPlanar.IntegerRoots.mid187 line 1233
  759. lemma OAI.SharpPlanar.IntegerRoots.mid187_contains line 1234
  760. def OAI.SharpPlanar.IntegerRoots.root187 line 1235
  761. lemma OAI.SharpPlanar.IntegerRoots.root187_contains line 1236
  762. def OAI.SharpPlanar.IntegerRoots.root188 line 1239
  763. lemma OAI.SharpPlanar.IntegerRoots.root188_contains line 1240
  764. def OAI.SharpPlanar.IntegerRoots.mid189 line 1243
  765. lemma OAI.SharpPlanar.IntegerRoots.mid189_contains line 1244
  766. def OAI.SharpPlanar.IntegerRoots.root189 line 1245
  767. lemma OAI.SharpPlanar.IntegerRoots.root189_contains line 1246
  768. def OAI.SharpPlanar.IntegerRoots.root190 line 1249
  769. lemma OAI.SharpPlanar.IntegerRoots.root190_contains line 1250
  770. def OAI.SharpPlanar.IntegerRoots.mid191 line 1253
  771. lemma OAI.SharpPlanar.IntegerRoots.mid191_contains line 1254
  772. def OAI.SharpPlanar.IntegerRoots.root191 line 1255
  773. lemma OAI.SharpPlanar.IntegerRoots.root191_contains line 1256
  774. def OAI.SharpPlanar.IntegerRoots.root192 line 1259
  775. lemma OAI.SharpPlanar.IntegerRoots.root192_contains line 1260
  776. def OAI.SharpPlanar.IntegerRoots.mid193 line 1263
  777. lemma OAI.SharpPlanar.IntegerRoots.mid193_contains line 1264
  778. def OAI.SharpPlanar.IntegerRoots.root193 line 1265
  779. lemma OAI.SharpPlanar.IntegerRoots.root193_contains line 1266
  780. def OAI.SharpPlanar.IntegerRoots.root194 line 1269
  781. lemma OAI.SharpPlanar.IntegerRoots.root194_contains line 1270
  782. def OAI.SharpPlanar.IntegerRoots.mid195 line 1273
  783. lemma OAI.SharpPlanar.IntegerRoots.mid195_contains line 1274
  784. def OAI.SharpPlanar.IntegerRoots.root195 line 1275
  785. lemma OAI.SharpPlanar.IntegerRoots.root195_contains line 1276
  786. def OAI.SharpPlanar.IntegerRoots.root196 line 1279
  787. lemma OAI.SharpPlanar.IntegerRoots.root196_contains line 1280
  788. def OAI.SharpPlanar.IntegerRoots.mid197 line 1283
  789. lemma OAI.SharpPlanar.IntegerRoots.mid197_contains line 1284
  790. def OAI.SharpPlanar.IntegerRoots.root197 line 1285
  791. lemma OAI.SharpPlanar.IntegerRoots.root197_contains line 1286
  792. def OAI.SharpPlanar.IntegerRoots.root198 line 1289
  793. lemma OAI.SharpPlanar.IntegerRoots.root198_contains line 1290
  794. def OAI.SharpPlanar.IntegerRoots.mid199 line 1293
  795. lemma OAI.SharpPlanar.IntegerRoots.mid199_contains line 1294
  796. def OAI.SharpPlanar.IntegerRoots.root199 line 1295
  797. lemma OAI.SharpPlanar.IntegerRoots.root199_contains line 1296
  798. def OAI.SharpPlanar.IntegerRoots.root200 line 1299
  799. lemma OAI.SharpPlanar.IntegerRoots.root200_contains line 1300
  800. def OAI.SharpPlanar.IntegerRoots.mid201 line 1303
  801. lemma OAI.SharpPlanar.IntegerRoots.mid201_contains line 1304
  802. def OAI.SharpPlanar.IntegerRoots.root201 line 1305
  803. lemma OAI.SharpPlanar.IntegerRoots.root201_contains line 1306
  804. def OAI.SharpPlanar.IntegerRoots.root202 line 1309
  805. lemma OAI.SharpPlanar.IntegerRoots.root202_contains line 1310
  806. def OAI.SharpPlanar.IntegerRoots.mid203 line 1313
  807. lemma OAI.SharpPlanar.IntegerRoots.mid203_contains line 1314
  808. def OAI.SharpPlanar.IntegerRoots.root203 line 1315
  809. lemma OAI.SharpPlanar.IntegerRoots.root203_contains line 1316
  810. def OAI.SharpPlanar.IntegerRoots.root204 line 1319
  811. lemma OAI.SharpPlanar.IntegerRoots.root204_contains line 1320
  812. def OAI.SharpPlanar.IntegerRoots.mid205 line 1323
  813. lemma OAI.SharpPlanar.IntegerRoots.mid205_contains line 1324
  814. def OAI.SharpPlanar.IntegerRoots.root205 line 1325
  815. lemma OAI.SharpPlanar.IntegerRoots.root205_contains line 1326
  816. def OAI.SharpPlanar.IntegerRoots.root206 line 1329
  817. lemma OAI.SharpPlanar.IntegerRoots.root206_contains line 1330
  818. def OAI.SharpPlanar.IntegerRoots.mid207 line 1333
  819. lemma OAI.SharpPlanar.IntegerRoots.mid207_contains line 1334
  820. def OAI.SharpPlanar.IntegerRoots.root207 line 1335
  821. lemma OAI.SharpPlanar.IntegerRoots.root207_contains line 1336
  822. def OAI.SharpPlanar.IntegerRoots.root208 line 1339
  823. lemma OAI.SharpPlanar.IntegerRoots.root208_contains line 1340
  824. def OAI.SharpPlanar.IntegerRoots.mid209 line 1343
  825. lemma OAI.SharpPlanar.IntegerRoots.mid209_contains line 1344
  826. def OAI.SharpPlanar.IntegerRoots.root209 line 1345
  827. lemma OAI.SharpPlanar.IntegerRoots.root209_contains line 1346
  828. def OAI.SharpPlanar.IntegerRoots.root210 line 1349
  829. lemma OAI.SharpPlanar.IntegerRoots.root210_contains line 1350
  830. def OAI.SharpPlanar.IntegerRoots.mid211 line 1353
  831. lemma OAI.SharpPlanar.IntegerRoots.mid211_contains line 1354
  832. def OAI.SharpPlanar.IntegerRoots.root211 line 1355
  833. lemma OAI.SharpPlanar.IntegerRoots.root211_contains line 1356
  834. def OAI.SharpPlanar.IntegerRoots.root212 line 1359
  835. lemma OAI.SharpPlanar.IntegerRoots.root212_contains line 1360
  836. def OAI.SharpPlanar.IntegerRoots.mid213 line 1363
  837. lemma OAI.SharpPlanar.IntegerRoots.mid213_contains line 1364
  838. def OAI.SharpPlanar.IntegerRoots.root213 line 1365
  839. lemma OAI.SharpPlanar.IntegerRoots.root213_contains line 1366
  840. def OAI.SharpPlanar.IntegerRoots.root214 line 1369
  841. lemma OAI.SharpPlanar.IntegerRoots.root214_contains line 1370
  842. def OAI.SharpPlanar.IntegerRoots.mid215 line 1373
  843. lemma OAI.SharpPlanar.IntegerRoots.mid215_contains line 1374
  844. def OAI.SharpPlanar.IntegerRoots.root215 line 1375
  845. lemma OAI.SharpPlanar.IntegerRoots.root215_contains line 1376
  846. def OAI.SharpPlanar.IntegerRoots.root216 line 1379
  847. lemma OAI.SharpPlanar.IntegerRoots.root216_contains line 1380
  848. def OAI.SharpPlanar.IntegerRoots.mid217 line 1383
  849. lemma OAI.SharpPlanar.IntegerRoots.mid217_contains line 1384
  850. def OAI.SharpPlanar.IntegerRoots.root217 line 1385
  851. lemma OAI.SharpPlanar.IntegerRoots.root217_contains line 1386
  852. def OAI.SharpPlanar.IntegerRoots.root218 line 1389
  853. lemma OAI.SharpPlanar.IntegerRoots.root218_contains line 1390
  854. def OAI.SharpPlanar.IntegerRoots.mid219 line 1393
  855. lemma OAI.SharpPlanar.IntegerRoots.mid219_contains line 1394
  856. def OAI.SharpPlanar.IntegerRoots.root219 line 1395
  857. lemma OAI.SharpPlanar.IntegerRoots.root219_contains line 1396
  858. def OAI.SharpPlanar.IntegerRoots.root220 line 1399
  859. lemma OAI.SharpPlanar.IntegerRoots.root220_contains line 1400
  860. def OAI.SharpPlanar.IntegerRoots.mid221 line 1403
  861. lemma OAI.SharpPlanar.IntegerRoots.mid221_contains line 1404
  862. def OAI.SharpPlanar.IntegerRoots.root221 line 1405
  863. lemma OAI.SharpPlanar.IntegerRoots.root221_contains line 1406
  864. def OAI.SharpPlanar.IntegerRoots.root222 line 1409
  865. lemma OAI.SharpPlanar.IntegerRoots.root222_contains line 1410
  866. def OAI.SharpPlanar.IntegerRoots.mid223 line 1413
  867. lemma OAI.SharpPlanar.IntegerRoots.mid223_contains line 1414
  868. def OAI.SharpPlanar.IntegerRoots.root223 line 1415
  869. lemma OAI.SharpPlanar.IntegerRoots.root223_contains line 1416
  870. def OAI.SharpPlanar.IntegerRoots.root224 line 1419
  871. lemma OAI.SharpPlanar.IntegerRoots.root224_contains line 1420
  872. def OAI.SharpPlanar.IntegerRoots.mid225 line 1423
  873. lemma OAI.SharpPlanar.IntegerRoots.mid225_contains line 1424
  874. def OAI.SharpPlanar.IntegerRoots.root225 line 1425
  875. lemma OAI.SharpPlanar.IntegerRoots.root225_contains line 1426
  876. def OAI.SharpPlanar.IntegerRoots.root226 line 1429
  877. lemma OAI.SharpPlanar.IntegerRoots.root226_contains line 1430
  878. def OAI.SharpPlanar.IntegerRoots.mid227 line 1433
  879. lemma OAI.SharpPlanar.IntegerRoots.mid227_contains line 1434
  880. def OAI.SharpPlanar.IntegerRoots.root227 line 1435
  881. lemma OAI.SharpPlanar.IntegerRoots.root227_contains line 1436
  882. def OAI.SharpPlanar.IntegerRoots.root228 line 1439
  883. lemma OAI.SharpPlanar.IntegerRoots.root228_contains line 1440
  884. def OAI.SharpPlanar.IntegerRoots.mid229 line 1443
  885. lemma OAI.SharpPlanar.IntegerRoots.mid229_contains line 1444
  886. def OAI.SharpPlanar.IntegerRoots.root229 line 1445
  887. lemma OAI.SharpPlanar.IntegerRoots.root229_contains line 1446
  888. def OAI.SharpPlanar.IntegerRoots.root230 line 1449
  889. lemma OAI.SharpPlanar.IntegerRoots.root230_contains line 1450
  890. def OAI.SharpPlanar.IntegerRoots.mid231 line 1453
  891. lemma OAI.SharpPlanar.IntegerRoots.mid231_contains line 1454
  892. def OAI.SharpPlanar.IntegerRoots.root231 line 1455
  893. lemma OAI.SharpPlanar.IntegerRoots.root231_contains line 1456
  894. def OAI.SharpPlanar.IntegerRoots.root232 line 1459
  895. lemma OAI.SharpPlanar.IntegerRoots.root232_contains line 1460
  896. def OAI.SharpPlanar.IntegerRoots.mid233 line 1463
  897. lemma OAI.SharpPlanar.IntegerRoots.mid233_contains line 1464
  898. def OAI.SharpPlanar.IntegerRoots.root233 line 1465
  899. lemma OAI.SharpPlanar.IntegerRoots.root233_contains line 1466
  900. def OAI.SharpPlanar.IntegerRoots.root234 line 1469
  901. lemma OAI.SharpPlanar.IntegerRoots.root234_contains line 1470
  902. def OAI.SharpPlanar.IntegerRoots.mid235 line 1473
  903. lemma OAI.SharpPlanar.IntegerRoots.mid235_contains line 1474
  904. def OAI.SharpPlanar.IntegerRoots.root235 line 1475
  905. lemma OAI.SharpPlanar.IntegerRoots.root235_contains line 1476
  906. def OAI.SharpPlanar.IntegerRoots.root236 line 1479
  907. lemma OAI.SharpPlanar.IntegerRoots.root236_contains line 1480
  908. def OAI.SharpPlanar.IntegerRoots.mid237 line 1483
  909. lemma OAI.SharpPlanar.IntegerRoots.mid237_contains line 1484
  910. def OAI.SharpPlanar.IntegerRoots.root237 line 1485
  911. lemma OAI.SharpPlanar.IntegerRoots.root237_contains line 1486
  912. def OAI.SharpPlanar.IntegerRoots.root238 line 1489
  913. lemma OAI.SharpPlanar.IntegerRoots.root238_contains line 1490
  914. def OAI.SharpPlanar.IntegerRoots.mid239 line 1493
  915. lemma OAI.SharpPlanar.IntegerRoots.mid239_contains line 1494
  916. def OAI.SharpPlanar.IntegerRoots.root239 line 1495
  917. lemma OAI.SharpPlanar.IntegerRoots.root239_contains line 1496
  918. def OAI.SharpPlanar.IntegerRoots.root240 line 1499
  919. lemma OAI.SharpPlanar.IntegerRoots.root240_contains line 1500
  920. def OAI.SharpPlanar.IntegerRoots.mid241 line 1503
  921. lemma OAI.SharpPlanar.IntegerRoots.mid241_contains line 1504
  922. def OAI.SharpPlanar.IntegerRoots.root241 line 1505
  923. lemma OAI.SharpPlanar.IntegerRoots.root241_contains line 1506
  924. def OAI.SharpPlanar.IntegerRoots.root242 line 1509
  925. lemma OAI.SharpPlanar.IntegerRoots.root242_contains line 1510
  926. def OAI.SharpPlanar.IntegerRoots.mid243 line 1513
  927. lemma OAI.SharpPlanar.IntegerRoots.mid243_contains line 1514
  928. def OAI.SharpPlanar.IntegerRoots.root243 line 1515
  929. lemma OAI.SharpPlanar.IntegerRoots.root243_contains line 1516
  930. def OAI.SharpPlanar.IntegerRoots.root244 line 1519
  931. lemma OAI.SharpPlanar.IntegerRoots.root244_contains line 1520
  932. def OAI.SharpPlanar.IntegerRoots.mid245 line 1523
  933. lemma OAI.SharpPlanar.IntegerRoots.mid245_contains line 1524
  934. def OAI.SharpPlanar.IntegerRoots.root245 line 1525
  935. lemma OAI.SharpPlanar.IntegerRoots.root245_contains line 1526
  936. def OAI.SharpPlanar.IntegerRoots.root246 line 1529
  937. lemma OAI.SharpPlanar.IntegerRoots.root246_contains line 1530
  938. def OAI.SharpPlanar.IntegerRoots.mid247 line 1533
  939. lemma OAI.SharpPlanar.IntegerRoots.mid247_contains line 1534
  940. def OAI.SharpPlanar.IntegerRoots.root247 line 1535
  941. lemma OAI.SharpPlanar.IntegerRoots.root247_contains line 1536
  942. def OAI.SharpPlanar.IntegerRoots.root248 line 1539
  943. lemma OAI.SharpPlanar.IntegerRoots.root248_contains line 1540
  944. def OAI.SharpPlanar.IntegerRoots.mid249 line 1543
  945. lemma OAI.SharpPlanar.IntegerRoots.mid249_contains line 1544
  946. def OAI.SharpPlanar.IntegerRoots.root249 line 1545
  947. lemma OAI.SharpPlanar.IntegerRoots.root249_contains line 1546
  948. def OAI.SharpPlanar.IntegerRoots.root250 line 1549
  949. lemma OAI.SharpPlanar.IntegerRoots.root250_contains line 1550
  950. def OAI.SharpPlanar.IntegerRoots.mid251 line 1553
  951. lemma OAI.SharpPlanar.IntegerRoots.mid251_contains line 1554
  952. def OAI.SharpPlanar.IntegerRoots.root251 line 1555
  953. lemma OAI.SharpPlanar.IntegerRoots.root251_contains line 1556
  954. def OAI.SharpPlanar.IntegerRoots.root252 line 1559
  955. lemma OAI.SharpPlanar.IntegerRoots.root252_contains line 1560
  956. def OAI.SharpPlanar.IntegerRoots.mid253 line 1563
  957. lemma OAI.SharpPlanar.IntegerRoots.mid253_contains line 1564
  958. def OAI.SharpPlanar.IntegerRoots.root253 line 1565
  959. lemma OAI.SharpPlanar.IntegerRoots.root253_contains line 1566
  960. def OAI.SharpPlanar.IntegerRoots.root254 line 1569
  961. lemma OAI.SharpPlanar.IntegerRoots.root254_contains line 1570
  962. def OAI.SharpPlanar.IntegerRoots.mid255 line 1573
  963. lemma OAI.SharpPlanar.IntegerRoots.mid255_contains line 1574
  964. def OAI.SharpPlanar.IntegerRoots.root255 line 1575
  965. lemma OAI.SharpPlanar.IntegerRoots.root255_contains line 1576
  966. def OAI.SharpPlanar.IntegerRoots.root256 line 1579
  967. lemma OAI.SharpPlanar.IntegerRoots.root256_contains line 1580
  968. def OAI.SharpPlanar.IntegerRoots.mid257 line 1583
  969. lemma OAI.SharpPlanar.IntegerRoots.mid257_contains line 1584
  970. def OAI.SharpPlanar.IntegerRoots.root257 line 1585
  971. lemma OAI.SharpPlanar.IntegerRoots.root257_contains line 1586
  972. def OAI.SharpPlanar.IntegerRoots.root258 line 1589
  973. lemma OAI.SharpPlanar.IntegerRoots.root258_contains line 1590
  974. def OAI.SharpPlanar.IntegerRoots.mid259 line 1593
  975. lemma OAI.SharpPlanar.IntegerRoots.mid259_contains line 1594
  976. def OAI.SharpPlanar.IntegerRoots.root259 line 1595
  977. lemma OAI.SharpPlanar.IntegerRoots.root259_contains line 1596
  978. def OAI.SharpPlanar.IntegerRoots.root260 line 1599
  979. lemma OAI.SharpPlanar.IntegerRoots.root260_contains line 1600
  980. def OAI.SharpPlanar.IntegerRoots.mid261 line 1603
  981. lemma OAI.SharpPlanar.IntegerRoots.mid261_contains line 1604
  982. def OAI.SharpPlanar.IntegerRoots.root261 line 1605
  983. lemma OAI.SharpPlanar.IntegerRoots.root261_contains line 1606
  984. def OAI.SharpPlanar.IntegerRoots.root262 line 1609
  985. lemma OAI.SharpPlanar.IntegerRoots.root262_contains line 1610
  986. def OAI.SharpPlanar.IntegerRoots.mid263 line 1613
  987. lemma OAI.SharpPlanar.IntegerRoots.mid263_contains line 1614
  988. def OAI.SharpPlanar.IntegerRoots.root263 line 1615
  989. lemma OAI.SharpPlanar.IntegerRoots.root263_contains line 1616
  990. def OAI.SharpPlanar.IntegerRoots.root264 line 1619
  991. lemma OAI.SharpPlanar.IntegerRoots.root264_contains line 1620
  992. def OAI.SharpPlanar.IntegerRoots.mid265 line 1623
  993. lemma OAI.SharpPlanar.IntegerRoots.mid265_contains line 1624
  994. def OAI.SharpPlanar.IntegerRoots.root265 line 1625
  995. lemma OAI.SharpPlanar.IntegerRoots.root265_contains line 1626
  996. def OAI.SharpPlanar.IntegerRoots.root266 line 1629
  997. lemma OAI.SharpPlanar.IntegerRoots.root266_contains line 1630
  998. def OAI.SharpPlanar.IntegerRoots.mid267 line 1633
  999. lemma OAI.SharpPlanar.IntegerRoots.mid267_contains line 1634
  1000. def OAI.SharpPlanar.IntegerRoots.root267 line 1635
  1001. lemma OAI.SharpPlanar.IntegerRoots.root267_contains line 1636
  1002. def OAI.SharpPlanar.IntegerRoots.root268 line 1639
  1003. lemma OAI.SharpPlanar.IntegerRoots.root268_contains line 1640
  1004. def OAI.SharpPlanar.IntegerRoots.mid269 line 1643
  1005. lemma OAI.SharpPlanar.IntegerRoots.mid269_contains line 1644
  1006. def OAI.SharpPlanar.IntegerRoots.root269 line 1645
  1007. lemma OAI.SharpPlanar.IntegerRoots.root269_contains line 1646
  1008. def OAI.SharpPlanar.IntegerRoots.root270 line 1649
  1009. lemma OAI.SharpPlanar.IntegerRoots.root270_contains line 1650
  1010. def OAI.SharpPlanar.IntegerRoots.mid271 line 1653
  1011. lemma OAI.SharpPlanar.IntegerRoots.mid271_contains line 1654
  1012. def OAI.SharpPlanar.IntegerRoots.root271 line 1655
  1013. lemma OAI.SharpPlanar.IntegerRoots.root271_contains line 1656
  1014. def OAI.SharpPlanar.IntegerRoots.root272 line 1659
  1015. lemma OAI.SharpPlanar.IntegerRoots.root272_contains line 1660
  1016. def OAI.SharpPlanar.IntegerRoots.mid273 line 1663
  1017. lemma OAI.SharpPlanar.IntegerRoots.mid273_contains line 1664
  1018. def OAI.SharpPlanar.IntegerRoots.root273 line 1665
  1019. lemma OAI.SharpPlanar.IntegerRoots.root273_contains line 1666
  1020. def OAI.SharpPlanar.IntegerRoots.root274 line 1669
  1021. lemma OAI.SharpPlanar.IntegerRoots.root274_contains line 1670
  1022. def OAI.SharpPlanar.IntegerRoots.mid275 line 1673
  1023. lemma OAI.SharpPlanar.IntegerRoots.mid275_contains line 1674
  1024. def OAI.SharpPlanar.IntegerRoots.root275 line 1675
  1025. lemma OAI.SharpPlanar.IntegerRoots.root275_contains line 1676
  1026. def OAI.SharpPlanar.IntegerRoots.root276 line 1679
  1027. lemma OAI.SharpPlanar.IntegerRoots.root276_contains line 1680
  1028. def OAI.SharpPlanar.IntegerRoots.mid277 line 1683
  1029. lemma OAI.SharpPlanar.IntegerRoots.mid277_contains line 1684
  1030. def OAI.SharpPlanar.IntegerRoots.root277 line 1685
  1031. lemma OAI.SharpPlanar.IntegerRoots.root277_contains line 1686
  1032. def OAI.SharpPlanar.IntegerRoots.root278 line 1689
  1033. lemma OAI.SharpPlanar.IntegerRoots.root278_contains line 1690
  1034. def OAI.SharpPlanar.IntegerRoots.mid279 line 1693
  1035. lemma OAI.SharpPlanar.IntegerRoots.mid279_contains line 1694
  1036. def OAI.SharpPlanar.IntegerRoots.root279 line 1695
  1037. lemma OAI.SharpPlanar.IntegerRoots.root279_contains line 1696
  1038. def OAI.SharpPlanar.IntegerRoots.root280 line 1699
  1039. lemma OAI.SharpPlanar.IntegerRoots.root280_contains line 1700
  1040. def OAI.SharpPlanar.IntegerRoots.mid281 line 1703
  1041. lemma OAI.SharpPlanar.IntegerRoots.mid281_contains line 1704
  1042. def OAI.SharpPlanar.IntegerRoots.root281 line 1705
  1043. lemma OAI.SharpPlanar.IntegerRoots.root281_contains line 1706
  1044. def OAI.SharpPlanar.IntegerRoots.root282 line 1709
  1045. lemma OAI.SharpPlanar.IntegerRoots.root282_contains line 1710
  1046. def OAI.SharpPlanar.IntegerRoots.mid283 line 1713
  1047. lemma OAI.SharpPlanar.IntegerRoots.mid283_contains line 1714
  1048. def OAI.SharpPlanar.IntegerRoots.root283 line 1715
  1049. lemma OAI.SharpPlanar.IntegerRoots.root283_contains line 1716
  1050. def OAI.SharpPlanar.IntegerRoots.root284 line 1719
  1051. lemma OAI.SharpPlanar.IntegerRoots.root284_contains line 1720
  1052. def OAI.SharpPlanar.IntegerRoots.mid285 line 1723
  1053. lemma OAI.SharpPlanar.IntegerRoots.mid285_contains line 1724
  1054. def OAI.SharpPlanar.IntegerRoots.root285 line 1725
  1055. lemma OAI.SharpPlanar.IntegerRoots.root285_contains line 1726
  1056. def OAI.SharpPlanar.IntegerRoots.root286 line 1729
  1057. lemma OAI.SharpPlanar.IntegerRoots.root286_contains line 1730
  1058. def OAI.SharpPlanar.IntegerRoots.mid287 line 1733
  1059. lemma OAI.SharpPlanar.IntegerRoots.mid287_contains line 1734
  1060. def OAI.SharpPlanar.IntegerRoots.root287 line 1735
  1061. lemma OAI.SharpPlanar.IntegerRoots.root287_contains line 1736
  1062. def OAI.SharpPlanar.IntegerRoots.root288 line 1739
  1063. lemma OAI.SharpPlanar.IntegerRoots.root288_contains line 1740
  1064. def OAI.SharpPlanar.IntegerRoots.mid289 line 1743
  1065. lemma OAI.SharpPlanar.IntegerRoots.mid289_contains line 1744
  1066. def OAI.SharpPlanar.IntegerRoots.root289 line 1745
  1067. lemma OAI.SharpPlanar.IntegerRoots.root289_contains line 1746
  1068. def OAI.SharpPlanar.IntegerRoots.root290 line 1749
  1069. lemma OAI.SharpPlanar.IntegerRoots.root290_contains line 1750
  1070. def OAI.SharpPlanar.IntegerRoots.mid291 line 1753
  1071. lemma OAI.SharpPlanar.IntegerRoots.mid291_contains line 1754
  1072. def OAI.SharpPlanar.IntegerRoots.root291 line 1755
  1073. lemma OAI.SharpPlanar.IntegerRoots.root291_contains line 1756
  1074. def OAI.SharpPlanar.IntegerRoots.root292 line 1759
  1075. lemma OAI.SharpPlanar.IntegerRoots.root292_contains line 1760
  1076. def OAI.SharpPlanar.IntegerRoots.mid293 line 1763
  1077. lemma OAI.SharpPlanar.IntegerRoots.mid293_contains line 1764
  1078. def OAI.SharpPlanar.IntegerRoots.root293 line 1765
  1079. lemma OAI.SharpPlanar.IntegerRoots.root293_contains line 1766
  1080. def OAI.SharpPlanar.IntegerRoots.root294 line 1769
  1081. lemma OAI.SharpPlanar.IntegerRoots.root294_contains line 1770
  1082. def OAI.SharpPlanar.IntegerRoots.mid295 line 1773
  1083. lemma OAI.SharpPlanar.IntegerRoots.mid295_contains line 1774
  1084. def OAI.SharpPlanar.IntegerRoots.root295 line 1775
  1085. lemma OAI.SharpPlanar.IntegerRoots.root295_contains line 1776
  1086. def OAI.SharpPlanar.IntegerRoots.root296 line 1779
  1087. lemma OAI.SharpPlanar.IntegerRoots.root296_contains line 1780
  1088. def OAI.SharpPlanar.IntegerRoots.mid297 line 1783
  1089. lemma OAI.SharpPlanar.IntegerRoots.mid297_contains line 1784
  1090. def OAI.SharpPlanar.IntegerRoots.root297 line 1785
  1091. lemma OAI.SharpPlanar.IntegerRoots.root297_contains line 1786
  1092. def OAI.SharpPlanar.IntegerRoots.root298 line 1789
  1093. lemma OAI.SharpPlanar.IntegerRoots.root298_contains line 1790
  1094. def OAI.SharpPlanar.IntegerRoots.mid299 line 1793
  1095. lemma OAI.SharpPlanar.IntegerRoots.mid299_contains line 1794
  1096. def OAI.SharpPlanar.IntegerRoots.root299 line 1795
  1097. lemma OAI.SharpPlanar.IntegerRoots.root299_contains line 1796
  1098. def OAI.SharpPlanar.IntegerRoots.root300 line 1799
  1099. lemma OAI.SharpPlanar.IntegerRoots.root300_contains line 1800
  1100. def OAI.SharpPlanar.IntegerRoots.mid301 line 1803
  1101. lemma OAI.SharpPlanar.IntegerRoots.mid301_contains line 1804
  1102. def OAI.SharpPlanar.IntegerRoots.root301 line 1805
  1103. lemma OAI.SharpPlanar.IntegerRoots.root301_contains line 1806
  1104. def OAI.SharpPlanar.IntegerRoots.root302 line 1809
  1105. lemma OAI.SharpPlanar.IntegerRoots.root302_contains line 1810
  1106. def OAI.SharpPlanar.IntegerRoots.mid303 line 1813
  1107. lemma OAI.SharpPlanar.IntegerRoots.mid303_contains line 1814
  1108. def OAI.SharpPlanar.IntegerRoots.root303 line 1815
  1109. lemma OAI.SharpPlanar.IntegerRoots.root303_contains line 1816
  1110. def OAI.SharpPlanar.IntegerRoots.root304 line 1819
  1111. lemma OAI.SharpPlanar.IntegerRoots.root304_contains line 1820
  1112. def OAI.SharpPlanar.IntegerRoots.mid305 line 1823
  1113. lemma OAI.SharpPlanar.IntegerRoots.mid305_contains line 1824
  1114. def OAI.SharpPlanar.IntegerRoots.root305 line 1825
  1115. lemma OAI.SharpPlanar.IntegerRoots.root305_contains line 1826
  1116. def OAI.SharpPlanar.IntegerRoots.root306 line 1829
  1117. lemma OAI.SharpPlanar.IntegerRoots.root306_contains line 1830
  1118. def OAI.SharpPlanar.IntegerRoots.mid307 line 1833
  1119. lemma OAI.SharpPlanar.IntegerRoots.mid307_contains line 1834
  1120. def OAI.SharpPlanar.IntegerRoots.root307 line 1835
  1121. lemma OAI.SharpPlanar.IntegerRoots.root307_contains line 1836
  1122. def OAI.SharpPlanar.IntegerRoots.root308 line 1839
  1123. lemma OAI.SharpPlanar.IntegerRoots.root308_contains line 1840
  1124. def OAI.SharpPlanar.IntegerRoots.mid309 line 1843
  1125. lemma OAI.SharpPlanar.IntegerRoots.mid309_contains line 1844
  1126. def OAI.SharpPlanar.IntegerRoots.root309 line 1845
  1127. lemma OAI.SharpPlanar.IntegerRoots.root309_contains line 1846
  1128. def OAI.SharpPlanar.IntegerRoots.root310 line 1849
  1129. lemma OAI.SharpPlanar.IntegerRoots.root310_contains line 1850
  1130. def OAI.SharpPlanar.IntegerRoots.mid311 line 1853
  1131. lemma OAI.SharpPlanar.IntegerRoots.mid311_contains line 1854
  1132. def OAI.SharpPlanar.IntegerRoots.root311 line 1855
  1133. lemma OAI.SharpPlanar.IntegerRoots.root311_contains line 1856
  1134. def OAI.SharpPlanar.IntegerRoots.root312 line 1859
  1135. lemma OAI.SharpPlanar.IntegerRoots.root312_contains line 1860
  1136. def OAI.SharpPlanar.IntegerRoots.mid313 line 1863
  1137. lemma OAI.SharpPlanar.IntegerRoots.mid313_contains line 1864
  1138. def OAI.SharpPlanar.IntegerRoots.root313 line 1865
  1139. lemma OAI.SharpPlanar.IntegerRoots.root313_contains line 1866
  1140. def OAI.SharpPlanar.IntegerRoots.root314 line 1869
  1141. lemma OAI.SharpPlanar.IntegerRoots.root314_contains line 1870
  1142. def OAI.SharpPlanar.IntegerRoots.mid315 line 1873
  1143. lemma OAI.SharpPlanar.IntegerRoots.mid315_contains line 1874
  1144. def OAI.SharpPlanar.IntegerRoots.root315 line 1875
  1145. lemma OAI.SharpPlanar.IntegerRoots.root315_contains line 1876
  1146. def OAI.SharpPlanar.IntegerRoots.root316 line 1879
  1147. lemma OAI.SharpPlanar.IntegerRoots.root316_contains line 1880
  1148. def OAI.SharpPlanar.IntegerRoots.mid317 line 1883
  1149. lemma OAI.SharpPlanar.IntegerRoots.mid317_contains line 1884
  1150. def OAI.SharpPlanar.IntegerRoots.root317 line 1885
  1151. lemma OAI.SharpPlanar.IntegerRoots.root317_contains line 1886
  1152. def OAI.SharpPlanar.IntegerRoots.root318 line 1889
  1153. lemma OAI.SharpPlanar.IntegerRoots.root318_contains line 1890
  1154. def OAI.SharpPlanar.IntegerRoots.mid319 line 1893
  1155. lemma OAI.SharpPlanar.IntegerRoots.mid319_contains line 1894
  1156. def OAI.SharpPlanar.IntegerRoots.root319 line 1895
  1157. lemma OAI.SharpPlanar.IntegerRoots.root319_contains line 1896
  1158. def OAI.SharpPlanar.IntegerRoots.root320 line 1899
  1159. lemma OAI.SharpPlanar.IntegerRoots.root320_contains line 1900
  1160. def OAI.SharpPlanar.IntegerRoots.mid321 line 1903
  1161. lemma OAI.SharpPlanar.IntegerRoots.mid321_contains line 1904
  1162. def OAI.SharpPlanar.IntegerRoots.root321 line 1905
  1163. lemma OAI.SharpPlanar.IntegerRoots.root321_contains line 1906
  1164. def OAI.SharpPlanar.IntegerRoots.root322 line 1909
  1165. lemma OAI.SharpPlanar.IntegerRoots.root322_contains line 1910
  1166. def OAI.SharpPlanar.IntegerRoots.mid323 line 1913
  1167. lemma OAI.SharpPlanar.IntegerRoots.mid323_contains line 1914
  1168. def OAI.SharpPlanar.IntegerRoots.root323 line 1915
  1169. lemma OAI.SharpPlanar.IntegerRoots.root323_contains line 1916
  1170. def OAI.SharpPlanar.IntegerRoots.root324 line 1919
  1171. lemma OAI.SharpPlanar.IntegerRoots.root324_contains line 1920
  1172. def OAI.SharpPlanar.IntegerRoots.mid325 line 1923
  1173. lemma OAI.SharpPlanar.IntegerRoots.mid325_contains line 1924
  1174. def OAI.SharpPlanar.IntegerRoots.root325 line 1925
  1175. lemma OAI.SharpPlanar.IntegerRoots.root325_contains line 1926
  1176. def OAI.SharpPlanar.IntegerRoots.root326 line 1929
  1177. lemma OAI.SharpPlanar.IntegerRoots.root326_contains line 1930
  1178. def OAI.SharpPlanar.IntegerRoots.mid327 line 1933
  1179. lemma OAI.SharpPlanar.IntegerRoots.mid327_contains line 1934
  1180. def OAI.SharpPlanar.IntegerRoots.root327 line 1935
  1181. lemma OAI.SharpPlanar.IntegerRoots.root327_contains line 1936
  1182. def OAI.SharpPlanar.IntegerRoots.root328 line 1939
  1183. lemma OAI.SharpPlanar.IntegerRoots.root328_contains line 1940
  1184. def OAI.SharpPlanar.IntegerRoots.mid329 line 1943
  1185. lemma OAI.SharpPlanar.IntegerRoots.mid329_contains line 1944
  1186. def OAI.SharpPlanar.IntegerRoots.root329 line 1945
  1187. lemma OAI.SharpPlanar.IntegerRoots.root329_contains line 1946
  1188. def OAI.SharpPlanar.IntegerRoots.root330 line 1949
  1189. lemma OAI.SharpPlanar.IntegerRoots.root330_contains line 1950
  1190. def OAI.SharpPlanar.IntegerRoots.mid331 line 1953
  1191. lemma OAI.SharpPlanar.IntegerRoots.mid331_contains line 1954
  1192. def OAI.SharpPlanar.IntegerRoots.root331 line 1955
  1193. lemma OAI.SharpPlanar.IntegerRoots.root331_contains line 1956
  1194. def OAI.SharpPlanar.IntegerRoots.root332 line 1959
  1195. lemma OAI.SharpPlanar.IntegerRoots.root332_contains line 1960
  1196. def OAI.SharpPlanar.IntegerRoots.mid333 line 1963
  1197. lemma OAI.SharpPlanar.IntegerRoots.mid333_contains line 1964
  1198. def OAI.SharpPlanar.IntegerRoots.root333 line 1965
  1199. lemma OAI.SharpPlanar.IntegerRoots.root333_contains line 1966
  1200. def OAI.SharpPlanar.IntegerRoots.root334 line 1969
  1201. lemma OAI.SharpPlanar.IntegerRoots.root334_contains line 1970
  1202. def OAI.SharpPlanar.IntegerRoots.mid335 line 1973
  1203. lemma OAI.SharpPlanar.IntegerRoots.mid335_contains line 1974
  1204. def OAI.SharpPlanar.IntegerRoots.root335 line 1975
  1205. lemma OAI.SharpPlanar.IntegerRoots.root335_contains line 1976
  1206. def OAI.SharpPlanar.IntegerRoots.root336 line 1979
  1207. lemma OAI.SharpPlanar.IntegerRoots.root336_contains line 1980
  1208. def OAI.SharpPlanar.IntegerRoots.mid337 line 1983
  1209. lemma OAI.SharpPlanar.IntegerRoots.mid337_contains line 1984
  1210. def OAI.SharpPlanar.IntegerRoots.root337 line 1985
  1211. lemma OAI.SharpPlanar.IntegerRoots.root337_contains line 1986
  1212. def OAI.SharpPlanar.IntegerRoots.root338 line 1989
  1213. lemma OAI.SharpPlanar.IntegerRoots.root338_contains line 1990
  1214. def OAI.SharpPlanar.IntegerRoots.mid339 line 1993
  1215. lemma OAI.SharpPlanar.IntegerRoots.mid339_contains line 1994
  1216. def OAI.SharpPlanar.IntegerRoots.root339 line 1995
  1217. lemma OAI.SharpPlanar.IntegerRoots.root339_contains line 1996
  1218. def OAI.SharpPlanar.IntegerRoots.root340 line 1999
  1219. lemma OAI.SharpPlanar.IntegerRoots.root340_contains line 2000
  1220. def OAI.SharpPlanar.IntegerRoots.mid341 line 2003
  1221. lemma OAI.SharpPlanar.IntegerRoots.mid341_contains line 2004
  1222. def OAI.SharpPlanar.IntegerRoots.root341 line 2005
  1223. lemma OAI.SharpPlanar.IntegerRoots.root341_contains line 2006
  1224. def OAI.SharpPlanar.IntegerRoots.root342 line 2009
  1225. lemma OAI.SharpPlanar.IntegerRoots.root342_contains line 2010
  1226. def OAI.SharpPlanar.IntegerRoots.mid343 line 2013
  1227. lemma OAI.SharpPlanar.IntegerRoots.mid343_contains line 2014
  1228. def OAI.SharpPlanar.IntegerRoots.root343 line 2015
  1229. lemma OAI.SharpPlanar.IntegerRoots.root343_contains line 2016
  1230. def OAI.SharpPlanar.IntegerRoots.root344 line 2019
  1231. lemma OAI.SharpPlanar.IntegerRoots.root344_contains line 2020
  1232. def OAI.SharpPlanar.IntegerRoots.mid345 line 2023
  1233. lemma OAI.SharpPlanar.IntegerRoots.mid345_contains line 2024
  1234. def OAI.SharpPlanar.IntegerRoots.root345 line 2025
  1235. lemma OAI.SharpPlanar.IntegerRoots.root345_contains line 2026
  1236. def OAI.SharpPlanar.IntegerRoots.root346 line 2029
  1237. lemma OAI.SharpPlanar.IntegerRoots.root346_contains line 2030
  1238. def OAI.SharpPlanar.IntegerRoots.mid347 line 2033
  1239. lemma OAI.SharpPlanar.IntegerRoots.mid347_contains line 2034
  1240. def OAI.SharpPlanar.IntegerRoots.root347 line 2035
  1241. lemma OAI.SharpPlanar.IntegerRoots.root347_contains line 2036
  1242. def OAI.SharpPlanar.IntegerRoots.root348 line 2039
  1243. lemma OAI.SharpPlanar.IntegerRoots.root348_contains line 2040
  1244. def OAI.SharpPlanar.IntegerRoots.mid349 line 2043
  1245. lemma OAI.SharpPlanar.IntegerRoots.mid349_contains line 2044
  1246. def OAI.SharpPlanar.IntegerRoots.root349 line 2045
  1247. lemma OAI.SharpPlanar.IntegerRoots.root349_contains line 2046
  1248. def OAI.SharpPlanar.IntegerRoots.root350 line 2049
  1249. lemma OAI.SharpPlanar.IntegerRoots.root350_contains line 2050
  1250. def OAI.SharpPlanar.IntegerRoots.mid351 line 2053
  1251. lemma OAI.SharpPlanar.IntegerRoots.mid351_contains line 2054
  1252. def OAI.SharpPlanar.IntegerRoots.root351 line 2055
  1253. lemma OAI.SharpPlanar.IntegerRoots.root351_contains line 2056
  1254. def OAI.SharpPlanar.IntegerRoots.root352 line 2059
  1255. lemma OAI.SharpPlanar.IntegerRoots.root352_contains line 2060
  1256. def OAI.SharpPlanar.IntegerRoots.mid353 line 2063
  1257. lemma OAI.SharpPlanar.IntegerRoots.mid353_contains line 2064
  1258. def OAI.SharpPlanar.IntegerRoots.root353 line 2065
  1259. lemma OAI.SharpPlanar.IntegerRoots.root353_contains line 2066
  1260. def OAI.SharpPlanar.IntegerRoots.root354 line 2069
  1261. lemma OAI.SharpPlanar.IntegerRoots.root354_contains line 2070
  1262. def OAI.SharpPlanar.IntegerRoots.mid355 line 2073
  1263. lemma OAI.SharpPlanar.IntegerRoots.mid355_contains line 2074
  1264. def OAI.SharpPlanar.IntegerRoots.root355 line 2075
  1265. lemma OAI.SharpPlanar.IntegerRoots.root355_contains line 2076
  1266. def OAI.SharpPlanar.IntegerRoots.root356 line 2079
  1267. lemma OAI.SharpPlanar.IntegerRoots.root356_contains line 2080
  1268. def OAI.SharpPlanar.IntegerRoots.mid357 line 2083
  1269. lemma OAI.SharpPlanar.IntegerRoots.mid357_contains line 2084
  1270. def OAI.SharpPlanar.IntegerRoots.root357 line 2085
  1271. lemma OAI.SharpPlanar.IntegerRoots.root357_contains line 2086
  1272. def OAI.SharpPlanar.IntegerRoots.root358 line 2089
  1273. lemma OAI.SharpPlanar.IntegerRoots.root358_contains line 2090
  1274. def OAI.SharpPlanar.IntegerRoots.mid359 line 2093
  1275. lemma OAI.SharpPlanar.IntegerRoots.mid359_contains line 2094
  1276. def OAI.SharpPlanar.IntegerRoots.root359 line 2095
  1277. lemma OAI.SharpPlanar.IntegerRoots.root359_contains line 2096
  1278. def OAI.SharpPlanar.IntegerRoots.root360 line 2099
  1279. lemma OAI.SharpPlanar.IntegerRoots.root360_contains line 2100
  1280. def OAI.SharpPlanar.IntegerRoots.mid361 line 2103
  1281. lemma OAI.SharpPlanar.IntegerRoots.mid361_contains line 2104
  1282. def OAI.SharpPlanar.IntegerRoots.root361 line 2105
  1283. lemma OAI.SharpPlanar.IntegerRoots.root361_contains line 2106
  1284. def OAI.SharpPlanar.IntegerRoots.root362 line 2109
  1285. lemma OAI.SharpPlanar.IntegerRoots.root362_contains line 2110
  1286. def OAI.SharpPlanar.IntegerRoots.mid363 line 2113
  1287. lemma OAI.SharpPlanar.IntegerRoots.mid363_contains line 2114
  1288. def OAI.SharpPlanar.IntegerRoots.root363 line 2115
  1289. lemma OAI.SharpPlanar.IntegerRoots.root363_contains line 2116
  1290. def OAI.SharpPlanar.IntegerRoots.root364 line 2119
  1291. lemma OAI.SharpPlanar.IntegerRoots.root364_contains line 2120
  1292. def OAI.SharpPlanar.IntegerRoots.mid365 line 2123
  1293. lemma OAI.SharpPlanar.IntegerRoots.mid365_contains line 2124
  1294. def OAI.SharpPlanar.IntegerRoots.root365 line 2125
  1295. lemma OAI.SharpPlanar.IntegerRoots.root365_contains line 2126
  1296. def OAI.SharpPlanar.IntegerRoots.root366 line 2129
  1297. lemma OAI.SharpPlanar.IntegerRoots.root366_contains line 2130
  1298. def OAI.SharpPlanar.IntegerRoots.mid367 line 2133
  1299. lemma OAI.SharpPlanar.IntegerRoots.mid367_contains line 2134
  1300. def OAI.SharpPlanar.IntegerRoots.root367 line 2135
  1301. lemma OAI.SharpPlanar.IntegerRoots.root367_contains line 2136
  1302. def OAI.SharpPlanar.IntegerRoots.root368 line 2139
  1303. lemma OAI.SharpPlanar.IntegerRoots.root368_contains line 2140
  1304. def OAI.SharpPlanar.IntegerRoots.mid369 line 2143
  1305. lemma OAI.SharpPlanar.IntegerRoots.mid369_contains line 2144
  1306. def OAI.SharpPlanar.IntegerRoots.root369 line 2145
  1307. lemma OAI.SharpPlanar.IntegerRoots.root369_contains line 2146
  1308. def OAI.SharpPlanar.IntegerRoots.root370 line 2149
  1309. lemma OAI.SharpPlanar.IntegerRoots.root370_contains line 2150
  1310. def OAI.SharpPlanar.IntegerRoots.mid371 line 2153
  1311. lemma OAI.SharpPlanar.IntegerRoots.mid371_contains line 2154
  1312. def OAI.SharpPlanar.IntegerRoots.root371 line 2155
  1313. lemma OAI.SharpPlanar.IntegerRoots.root371_contains line 2156
  1314. def OAI.SharpPlanar.IntegerRoots.root372 line 2159
  1315. lemma OAI.SharpPlanar.IntegerRoots.root372_contains line 2160
  1316. def OAI.SharpPlanar.IntegerRoots.mid373 line 2163
  1317. lemma OAI.SharpPlanar.IntegerRoots.mid373_contains line 2164
  1318. def OAI.SharpPlanar.IntegerRoots.root373 line 2165
  1319. lemma OAI.SharpPlanar.IntegerRoots.root373_contains line 2166
  1320. def OAI.SharpPlanar.IntegerRoots.root374 line 2169
  1321. lemma OAI.SharpPlanar.IntegerRoots.root374_contains line 2170
  1322. def OAI.SharpPlanar.IntegerRoots.mid375 line 2173
  1323. lemma OAI.SharpPlanar.IntegerRoots.mid375_contains line 2174
  1324. def OAI.SharpPlanar.IntegerRoots.root375 line 2175
  1325. lemma OAI.SharpPlanar.IntegerRoots.root375_contains line 2176
  1326. def OAI.SharpPlanar.IntegerRoots.root376 line 2179
  1327. lemma OAI.SharpPlanar.IntegerRoots.root376_contains line 2180
  1328. def OAI.SharpPlanar.IntegerRoots.mid377 line 2183
  1329. lemma OAI.SharpPlanar.IntegerRoots.mid377_contains line 2184
  1330. def OAI.SharpPlanar.IntegerRoots.root377 line 2185
  1331. lemma OAI.SharpPlanar.IntegerRoots.root377_contains line 2186
  1332. def OAI.SharpPlanar.IntegerRoots.root378 line 2189
  1333. lemma OAI.SharpPlanar.IntegerRoots.root378_contains line 2190
  1334. def OAI.SharpPlanar.IntegerRoots.mid379 line 2193
  1335. lemma OAI.SharpPlanar.IntegerRoots.mid379_contains line 2194
  1336. def OAI.SharpPlanar.IntegerRoots.root379 line 2195
  1337. lemma OAI.SharpPlanar.IntegerRoots.root379_contains line 2196
  1338. def OAI.SharpPlanar.IntegerRoots.root380 line 2199
  1339. lemma OAI.SharpPlanar.IntegerRoots.root380_contains line 2200
  1340. def OAI.SharpPlanar.IntegerRoots.mid381 line 2203
  1341. lemma OAI.SharpPlanar.IntegerRoots.mid381_contains line 2204
  1342. def OAI.SharpPlanar.IntegerRoots.root381 line 2205
  1343. lemma OAI.SharpPlanar.IntegerRoots.root381_contains line 2206
  1344. def OAI.SharpPlanar.IntegerRoots.root382 line 2209
  1345. lemma OAI.SharpPlanar.IntegerRoots.root382_contains line 2210
  1346. def OAI.SharpPlanar.IntegerRoots.mid383 line 2213
  1347. lemma OAI.SharpPlanar.IntegerRoots.mid383_contains line 2214
  1348. def OAI.SharpPlanar.IntegerRoots.root383 line 2215
  1349. lemma OAI.SharpPlanar.IntegerRoots.root383_contains line 2216
  1350. def OAI.SharpPlanar.IntegerRoots.root384 line 2219
  1351. lemma OAI.SharpPlanar.IntegerRoots.root384_contains line 2220
  1352. def OAI.SharpPlanar.IntegerRoots.mid385 line 2223
  1353. lemma OAI.SharpPlanar.IntegerRoots.mid385_contains line 2224
  1354. def OAI.SharpPlanar.IntegerRoots.root385 line 2225
  1355. lemma OAI.SharpPlanar.IntegerRoots.root385_contains line 2226
  1356. def OAI.SharpPlanar.IntegerRoots.root386 line 2229
  1357. lemma OAI.SharpPlanar.IntegerRoots.root386_contains line 2230
  1358. def OAI.SharpPlanar.IntegerRoots.mid387 line 2233
  1359. lemma OAI.SharpPlanar.IntegerRoots.mid387_contains line 2234
  1360. def OAI.SharpPlanar.IntegerRoots.root387 line 2235
  1361. lemma OAI.SharpPlanar.IntegerRoots.root387_contains line 2236
  1362. def OAI.SharpPlanar.IntegerRoots.root388 line 2239
  1363. lemma OAI.SharpPlanar.IntegerRoots.root388_contains line 2240
  1364. def OAI.SharpPlanar.IntegerRoots.mid389 line 2243
  1365. lemma OAI.SharpPlanar.IntegerRoots.mid389_contains line 2244
  1366. def OAI.SharpPlanar.IntegerRoots.root389 line 2245
  1367. lemma OAI.SharpPlanar.IntegerRoots.root389_contains line 2246
  1368. def OAI.SharpPlanar.IntegerRoots.root390 line 2249
  1369. lemma OAI.SharpPlanar.IntegerRoots.root390_contains line 2250
  1370. def OAI.SharpPlanar.IntegerRoots.mid391 line 2253
  1371. lemma OAI.SharpPlanar.IntegerRoots.mid391_contains line 2254
  1372. def OAI.SharpPlanar.IntegerRoots.root391 line 2255
  1373. lemma OAI.SharpPlanar.IntegerRoots.root391_contains line 2256
  1374. def OAI.SharpPlanar.IntegerRoots.root392 line 2259
  1375. lemma OAI.SharpPlanar.IntegerRoots.root392_contains line 2260
  1376. def OAI.SharpPlanar.IntegerRoots.mid393 line 2263
  1377. lemma OAI.SharpPlanar.IntegerRoots.mid393_contains line 2264
  1378. def OAI.SharpPlanar.IntegerRoots.root393 line 2265
  1379. lemma OAI.SharpPlanar.IntegerRoots.root393_contains line 2266
  1380. def OAI.SharpPlanar.IntegerRoots.root394 line 2269
  1381. lemma OAI.SharpPlanar.IntegerRoots.root394_contains line 2270
  1382. def OAI.SharpPlanar.IntegerRoots.mid395 line 2273
  1383. lemma OAI.SharpPlanar.IntegerRoots.mid395_contains line 2274
  1384. def OAI.SharpPlanar.IntegerRoots.root395 line 2275
  1385. lemma OAI.SharpPlanar.IntegerRoots.root395_contains line 2276
  1386. def OAI.SharpPlanar.IntegerRoots.root396 line 2279
  1387. lemma OAI.SharpPlanar.IntegerRoots.root396_contains line 2280
  1388. def OAI.SharpPlanar.IntegerRoots.mid397 line 2283
  1389. lemma OAI.SharpPlanar.IntegerRoots.mid397_contains line 2284
  1390. def OAI.SharpPlanar.IntegerRoots.root397 line 2285
  1391. lemma OAI.SharpPlanar.IntegerRoots.root397_contains line 2286
  1392. def OAI.SharpPlanar.IntegerRoots.root398 line 2289
  1393. lemma OAI.SharpPlanar.IntegerRoots.root398_contains line 2290
  1394. def OAI.SharpPlanar.IntegerRoots.mid399 line 2293
  1395. lemma OAI.SharpPlanar.IntegerRoots.mid399_contains line 2294
  1396. def OAI.SharpPlanar.IntegerRoots.root399 line 2295
  1397. lemma OAI.SharpPlanar.IntegerRoots.root399_contains line 2296
  1398. def OAI.SharpPlanar.IntegerRoots.root400 line 2299
  1399. lemma OAI.SharpPlanar.IntegerRoots.root400_contains line 2300
  1400. def OAI.SharpPlanar.IntegerRoots.mid401 line 2303
  1401. lemma OAI.SharpPlanar.IntegerRoots.mid401_contains line 2304
  1402. def OAI.SharpPlanar.IntegerRoots.root401 line 2305
  1403. lemma OAI.SharpPlanar.IntegerRoots.root401_contains line 2306
  1404. def OAI.SharpPlanar.IntegerRoots.root402 line 2309
  1405. lemma OAI.SharpPlanar.IntegerRoots.root402_contains line 2310
  1406. def OAI.SharpPlanar.IntegerRoots.mid403 line 2313
  1407. lemma OAI.SharpPlanar.IntegerRoots.mid403_contains line 2314
  1408. def OAI.SharpPlanar.IntegerRoots.root403 line 2315
  1409. lemma OAI.SharpPlanar.IntegerRoots.root403_contains line 2316
  1410. def OAI.SharpPlanar.IntegerRoots.root404 line 2319
  1411. lemma OAI.SharpPlanar.IntegerRoots.root404_contains line 2320
  1412. def OAI.SharpPlanar.IntegerRoots.mid405 line 2323
  1413. lemma OAI.SharpPlanar.IntegerRoots.mid405_contains line 2324
  1414. def OAI.SharpPlanar.IntegerRoots.root405 line 2325
  1415. lemma OAI.SharpPlanar.IntegerRoots.root405_contains line 2326
  1416. def OAI.SharpPlanar.IntegerRoots.root406 line 2329
  1417. lemma OAI.SharpPlanar.IntegerRoots.root406_contains line 2330
  1418. def OAI.SharpPlanar.IntegerRoots.mid407 line 2333
  1419. lemma OAI.SharpPlanar.IntegerRoots.mid407_contains line 2334
  1420. def OAI.SharpPlanar.IntegerRoots.root407 line 2335
  1421. lemma OAI.SharpPlanar.IntegerRoots.root407_contains line 2336
  1422. def OAI.SharpPlanar.IntegerRoots.root408 line 2339
  1423. lemma OAI.SharpPlanar.IntegerRoots.root408_contains line 2340
  1424. def OAI.SharpPlanar.IntegerRoots.mid409 line 2343
  1425. lemma OAI.SharpPlanar.IntegerRoots.mid409_contains line 2344
  1426. def OAI.SharpPlanar.IntegerRoots.root409 line 2345
  1427. lemma OAI.SharpPlanar.IntegerRoots.root409_contains line 2346
  1428. def OAI.SharpPlanar.IntegerRoots.root410 line 2349
  1429. lemma OAI.SharpPlanar.IntegerRoots.root410_contains line 2350
  1430. def OAI.SharpPlanar.IntegerRoots.mid411 line 2353
  1431. lemma OAI.SharpPlanar.IntegerRoots.mid411_contains line 2354
  1432. def OAI.SharpPlanar.IntegerRoots.root411 line 2355
  1433. lemma OAI.SharpPlanar.IntegerRoots.root411_contains line 2356
  1434. def OAI.SharpPlanar.IntegerRoots.root412 line 2359
  1435. lemma OAI.SharpPlanar.IntegerRoots.root412_contains line 2360
  1436. def OAI.SharpPlanar.IntegerRoots.mid413 line 2363
  1437. lemma OAI.SharpPlanar.IntegerRoots.mid413_contains line 2364
  1438. def OAI.SharpPlanar.IntegerRoots.root413 line 2365
  1439. lemma OAI.SharpPlanar.IntegerRoots.root413_contains line 2366
  1440. def OAI.SharpPlanar.IntegerRoots.root414 line 2369
  1441. lemma OAI.SharpPlanar.IntegerRoots.root414_contains line 2370
  1442. def OAI.SharpPlanar.IntegerRoots.mid415 line 2373
  1443. lemma OAI.SharpPlanar.IntegerRoots.mid415_contains line 2374
  1444. def OAI.SharpPlanar.IntegerRoots.root415 line 2375
  1445. lemma OAI.SharpPlanar.IntegerRoots.root415_contains line 2376
  1446. def OAI.SharpPlanar.IntegerRoots.root416 line 2379
  1447. lemma OAI.SharpPlanar.IntegerRoots.root416_contains line 2380
  1448. def OAI.SharpPlanar.IntegerRoots.mid417 line 2383
  1449. lemma OAI.SharpPlanar.IntegerRoots.mid417_contains line 2384
  1450. def OAI.SharpPlanar.IntegerRoots.root417 line 2385
  1451. lemma OAI.SharpPlanar.IntegerRoots.root417_contains line 2386
  1452. def OAI.SharpPlanar.IntegerRoots.root418 line 2389
  1453. lemma OAI.SharpPlanar.IntegerRoots.root418_contains line 2390
  1454. def OAI.SharpPlanar.IntegerRoots.mid419 line 2393
  1455. lemma OAI.SharpPlanar.IntegerRoots.mid419_contains line 2394
  1456. def OAI.SharpPlanar.IntegerRoots.root419 line 2395
  1457. lemma OAI.SharpPlanar.IntegerRoots.root419_contains line 2396
  1458. def OAI.SharpPlanar.IntegerRoots.root420 line 2399
  1459. lemma OAI.SharpPlanar.IntegerRoots.root420_contains line 2400
  1460. def OAI.SharpPlanar.IntegerRoots.mid421 line 2403
  1461. lemma OAI.SharpPlanar.IntegerRoots.mid421_contains line 2404
  1462. def OAI.SharpPlanar.IntegerRoots.root421 line 2405
  1463. lemma OAI.SharpPlanar.IntegerRoots.root421_contains line 2406
  1464. def OAI.SharpPlanar.IntegerRoots.root422 line 2409
  1465. lemma OAI.SharpPlanar.IntegerRoots.root422_contains line 2410
  1466. def OAI.SharpPlanar.IntegerRoots.mid423 line 2413
  1467. lemma OAI.SharpPlanar.IntegerRoots.mid423_contains line 2414
  1468. def OAI.SharpPlanar.IntegerRoots.root423 line 2415
  1469. lemma OAI.SharpPlanar.IntegerRoots.root423_contains line 2416
  1470. def OAI.SharpPlanar.IntegerRoots.root424 line 2419
  1471. lemma OAI.SharpPlanar.IntegerRoots.root424_contains line 2420
  1472. def OAI.SharpPlanar.IntegerRoots.mid425 line 2423
  1473. lemma OAI.SharpPlanar.IntegerRoots.mid425_contains line 2424
  1474. def OAI.SharpPlanar.IntegerRoots.root425 line 2425
  1475. lemma OAI.SharpPlanar.IntegerRoots.root425_contains line 2426
  1476. def OAI.SharpPlanar.IntegerRoots.root426 line 2429
  1477. lemma OAI.SharpPlanar.IntegerRoots.root426_contains line 2430
  1478. def OAI.SharpPlanar.IntegerRoots.mid427 line 2433
  1479. lemma OAI.SharpPlanar.IntegerRoots.mid427_contains line 2434
  1480. def OAI.SharpPlanar.IntegerRoots.root427 line 2435
  1481. lemma OAI.SharpPlanar.IntegerRoots.root427_contains line 2436
  1482. def OAI.SharpPlanar.IntegerRoots.root428 line 2439
  1483. lemma OAI.SharpPlanar.IntegerRoots.root428_contains line 2440
  1484. def OAI.SharpPlanar.IntegerRoots.mid429 line 2443
  1485. lemma OAI.SharpPlanar.IntegerRoots.mid429_contains line 2444
  1486. def OAI.SharpPlanar.IntegerRoots.root429 line 2445
  1487. lemma OAI.SharpPlanar.IntegerRoots.root429_contains line 2446
  1488. def OAI.SharpPlanar.IntegerRoots.root430 line 2449
  1489. lemma OAI.SharpPlanar.IntegerRoots.root430_contains line 2450
  1490. def OAI.SharpPlanar.IntegerRoots.mid431 line 2453
  1491. lemma OAI.SharpPlanar.IntegerRoots.mid431_contains line 2454
  1492. def OAI.SharpPlanar.IntegerRoots.root431 line 2455
  1493. lemma OAI.SharpPlanar.IntegerRoots.root431_contains line 2456
  1494. def OAI.SharpPlanar.IntegerRoots.root432 line 2459
  1495. lemma OAI.SharpPlanar.IntegerRoots.root432_contains line 2460
  1496. def OAI.SharpPlanar.IntegerRoots.mid433 line 2463
  1497. lemma OAI.SharpPlanar.IntegerRoots.mid433_contains line 2464
  1498. def OAI.SharpPlanar.IntegerRoots.root433 line 2465
  1499. lemma OAI.SharpPlanar.IntegerRoots.root433_contains line 2466
  1500. def OAI.SharpPlanar.IntegerRoots.root434 line 2469
  1501. lemma OAI.SharpPlanar.IntegerRoots.root434_contains line 2470
  1502. def OAI.SharpPlanar.IntegerRoots.mid435 line 2473
  1503. lemma OAI.SharpPlanar.IntegerRoots.mid435_contains line 2474
  1504. def OAI.SharpPlanar.IntegerRoots.root435 line 2475
  1505. lemma OAI.SharpPlanar.IntegerRoots.root435_contains line 2476
  1506. def OAI.SharpPlanar.IntegerRoots.root436 line 2479
  1507. lemma OAI.SharpPlanar.IntegerRoots.root436_contains line 2480
  1508. def OAI.SharpPlanar.IntegerRoots.mid437 line 2483
  1509. lemma OAI.SharpPlanar.IntegerRoots.mid437_contains line 2484
  1510. def OAI.SharpPlanar.IntegerRoots.root437 line 2485
  1511. lemma OAI.SharpPlanar.IntegerRoots.root437_contains line 2486
  1512. def OAI.SharpPlanar.IntegerRoots.root438 line 2489
  1513. lemma OAI.SharpPlanar.IntegerRoots.root438_contains line 2490
  1514. def OAI.SharpPlanar.IntegerRoots.mid439 line 2493
  1515. lemma OAI.SharpPlanar.IntegerRoots.mid439_contains line 2494
  1516. def OAI.SharpPlanar.IntegerRoots.root439 line 2495
  1517. lemma OAI.SharpPlanar.IntegerRoots.root439_contains line 2496
  1518. def OAI.SharpPlanar.IntegerRoots.root440 line 2499
  1519. lemma OAI.SharpPlanar.IntegerRoots.root440_contains line 2500
  1520. def OAI.SharpPlanar.IntegerRoots.mid441 line 2503
  1521. lemma OAI.SharpPlanar.IntegerRoots.mid441_contains line 2504
  1522. def OAI.SharpPlanar.IntegerRoots.root441 line 2505
  1523. lemma OAI.SharpPlanar.IntegerRoots.root441_contains line 2506
  1524. def OAI.SharpPlanar.IntegerRoots.root442 line 2509
  1525. lemma OAI.SharpPlanar.IntegerRoots.root442_contains line 2510
  1526. def OAI.SharpPlanar.IntegerRoots.mid443 line 2513
  1527. lemma OAI.SharpPlanar.IntegerRoots.mid443_contains line 2514
  1528. def OAI.SharpPlanar.IntegerRoots.root443 line 2515
  1529. lemma OAI.SharpPlanar.IntegerRoots.root443_contains line 2516
  1530. def OAI.SharpPlanar.IntegerRoots.root444 line 2519
  1531. lemma OAI.SharpPlanar.IntegerRoots.root444_contains line 2520
  1532. def OAI.SharpPlanar.IntegerRoots.mid445 line 2523
  1533. lemma OAI.SharpPlanar.IntegerRoots.mid445_contains line 2524
  1534. def OAI.SharpPlanar.IntegerRoots.root445 line 2525
  1535. lemma OAI.SharpPlanar.IntegerRoots.root445_contains line 2526
  1536. def OAI.SharpPlanar.IntegerRoots.root446 line 2529
  1537. lemma OAI.SharpPlanar.IntegerRoots.root446_contains line 2530
  1538. def OAI.SharpPlanar.IntegerRoots.mid447 line 2533
  1539. lemma OAI.SharpPlanar.IntegerRoots.mid447_contains line 2534
  1540. def OAI.SharpPlanar.IntegerRoots.root447 line 2535
  1541. lemma OAI.SharpPlanar.IntegerRoots.root447_contains line 2536
  1542. def OAI.SharpPlanar.IntegerRoots.root448 line 2539
  1543. lemma OAI.SharpPlanar.IntegerRoots.root448_contains line 2540
  1544. def OAI.SharpPlanar.IntegerRoots.mid449 line 2543
  1545. lemma OAI.SharpPlanar.IntegerRoots.mid449_contains line 2544
  1546. def OAI.SharpPlanar.IntegerRoots.root449 line 2545
  1547. lemma OAI.SharpPlanar.IntegerRoots.root449_contains line 2546
  1548. def OAI.SharpPlanar.IntegerRoots.root450 line 2549
  1549. lemma OAI.SharpPlanar.IntegerRoots.root450_contains line 2550
  1550. def OAI.SharpPlanar.IntegerRoots.mid451 line 2553
  1551. lemma OAI.SharpPlanar.IntegerRoots.mid451_contains line 2554
  1552. def OAI.SharpPlanar.IntegerRoots.root451 line 2555
  1553. lemma OAI.SharpPlanar.IntegerRoots.root451_contains line 2556
  1554. def OAI.SharpPlanar.IntegerRoots.root452 line 2559
  1555. lemma OAI.SharpPlanar.IntegerRoots.root452_contains line 2560
  1556. def OAI.SharpPlanar.IntegerRoots.mid453 line 2563
  1557. lemma OAI.SharpPlanar.IntegerRoots.mid453_contains line 2564
  1558. def OAI.SharpPlanar.IntegerRoots.root453 line 2565
  1559. lemma OAI.SharpPlanar.IntegerRoots.root453_contains line 2566
  1560. def OAI.SharpPlanar.IntegerRoots.root454 line 2569
  1561. lemma OAI.SharpPlanar.IntegerRoots.root454_contains line 2570
  1562. def OAI.SharpPlanar.IntegerRoots.mid455 line 2573
  1563. lemma OAI.SharpPlanar.IntegerRoots.mid455_contains line 2574
  1564. def OAI.SharpPlanar.IntegerRoots.root455 line 2575
  1565. lemma OAI.SharpPlanar.IntegerRoots.root455_contains line 2576
  1566. def OAI.SharpPlanar.IntegerRoots.root456 line 2579
  1567. lemma OAI.SharpPlanar.IntegerRoots.root456_contains line 2580
  1568. def OAI.SharpPlanar.IntegerRoots.mid457 line 2583
  1569. lemma OAI.SharpPlanar.IntegerRoots.mid457_contains line 2584
  1570. def OAI.SharpPlanar.IntegerRoots.root457 line 2585
  1571. lemma OAI.SharpPlanar.IntegerRoots.root457_contains line 2586
  1572. def OAI.SharpPlanar.IntegerRoots.root458 line 2589
  1573. lemma OAI.SharpPlanar.IntegerRoots.root458_contains line 2590
  1574. def OAI.SharpPlanar.IntegerRoots.mid459 line 2593
  1575. lemma OAI.SharpPlanar.IntegerRoots.mid459_contains line 2594
  1576. def OAI.SharpPlanar.IntegerRoots.root459 line 2595
  1577. lemma OAI.SharpPlanar.IntegerRoots.root459_contains line 2596
  1578. def OAI.SharpPlanar.IntegerRoots.root460 line 2599
  1579. lemma OAI.SharpPlanar.IntegerRoots.root460_contains line 2600
  1580. def OAI.SharpPlanar.IntegerRoots.mid461 line 2603
  1581. lemma OAI.SharpPlanar.IntegerRoots.mid461_contains line 2604
  1582. def OAI.SharpPlanar.IntegerRoots.root461 line 2605
  1583. lemma OAI.SharpPlanar.IntegerRoots.root461_contains line 2606
  1584. def OAI.SharpPlanar.IntegerRoots.root462 line 2609
  1585. lemma OAI.SharpPlanar.IntegerRoots.root462_contains line 2610
  1586. def OAI.SharpPlanar.IntegerRoots.mid463 line 2613
  1587. lemma OAI.SharpPlanar.IntegerRoots.mid463_contains line 2614
  1588. def OAI.SharpPlanar.IntegerRoots.root463 line 2615
  1589. lemma OAI.SharpPlanar.IntegerRoots.root463_contains line 2616
  1590. def OAI.SharpPlanar.IntegerRoots.root464 line 2619
  1591. lemma OAI.SharpPlanar.IntegerRoots.root464_contains line 2620
  1592. def OAI.SharpPlanar.IntegerRoots.mid465 line 2623
  1593. lemma OAI.SharpPlanar.IntegerRoots.mid465_contains line 2624
  1594. def OAI.SharpPlanar.IntegerRoots.root465 line 2625
  1595. lemma OAI.SharpPlanar.IntegerRoots.root465_contains line 2626
  1596. def OAI.SharpPlanar.IntegerRoots.root466 line 2629
  1597. lemma OAI.SharpPlanar.IntegerRoots.root466_contains line 2630
  1598. def OAI.SharpPlanar.IntegerRoots.mid467 line 2633
  1599. lemma OAI.SharpPlanar.IntegerRoots.mid467_contains line 2634
  1600. def OAI.SharpPlanar.IntegerRoots.root467 line 2635
  1601. lemma OAI.SharpPlanar.IntegerRoots.root467_contains line 2636
  1602. def OAI.SharpPlanar.IntegerRoots.root468 line 2639
  1603. lemma OAI.SharpPlanar.IntegerRoots.root468_contains line 2640
  1604. def OAI.SharpPlanar.IntegerRoots.mid469 line 2643
  1605. lemma OAI.SharpPlanar.IntegerRoots.mid469_contains line 2644
  1606. def OAI.SharpPlanar.IntegerRoots.root469 line 2645
  1607. lemma OAI.SharpPlanar.IntegerRoots.root469_contains line 2646
  1608. def OAI.SharpPlanar.IntegerRoots.root470 line 2649
  1609. lemma OAI.SharpPlanar.IntegerRoots.root470_contains line 2650
  1610. def OAI.SharpPlanar.IntegerRoots.mid471 line 2653
  1611. lemma OAI.SharpPlanar.IntegerRoots.mid471_contains line 2654
  1612. def OAI.SharpPlanar.IntegerRoots.root471 line 2655
  1613. lemma OAI.SharpPlanar.IntegerRoots.root471_contains line 2656
  1614. def OAI.SharpPlanar.IntegerRoots.root472 line 2659
  1615. lemma OAI.SharpPlanar.IntegerRoots.root472_contains line 2660
  1616. def OAI.SharpPlanar.IntegerRoots.mid473 line 2663
  1617. lemma OAI.SharpPlanar.IntegerRoots.mid473_contains line 2664
  1618. def OAI.SharpPlanar.IntegerRoots.root473 line 2665
  1619. lemma OAI.SharpPlanar.IntegerRoots.root473_contains line 2666
  1620. def OAI.SharpPlanar.IntegerRoots.root474 line 2669
  1621. lemma OAI.SharpPlanar.IntegerRoots.root474_contains line 2670
  1622. def OAI.SharpPlanar.IntegerRoots.mid475 line 2673
  1623. lemma OAI.SharpPlanar.IntegerRoots.mid475_contains line 2674
  1624. def OAI.SharpPlanar.IntegerRoots.root475 line 2675
  1625. lemma OAI.SharpPlanar.IntegerRoots.root475_contains line 2676
  1626. def OAI.SharpPlanar.IntegerRoots.root476 line 2679
  1627. lemma OAI.SharpPlanar.IntegerRoots.root476_contains line 2680
  1628. def OAI.SharpPlanar.IntegerRoots.mid477 line 2683
  1629. lemma OAI.SharpPlanar.IntegerRoots.mid477_contains line 2684
  1630. def OAI.SharpPlanar.IntegerRoots.root477 line 2685
  1631. lemma OAI.SharpPlanar.IntegerRoots.root477_contains line 2686
  1632. def OAI.SharpPlanar.IntegerRoots.root478 line 2689
  1633. lemma OAI.SharpPlanar.IntegerRoots.root478_contains line 2690
  1634. def OAI.SharpPlanar.IntegerRoots.mid479 line 2693
  1635. lemma OAI.SharpPlanar.IntegerRoots.mid479_contains line 2694
  1636. def OAI.SharpPlanar.IntegerRoots.root479 line 2695
  1637. lemma OAI.SharpPlanar.IntegerRoots.root479_contains line 2696
  1638. def OAI.SharpPlanar.IntegerRoots.root480 line 2699
  1639. lemma OAI.SharpPlanar.IntegerRoots.root480_contains line 2700
  1640. def OAI.SharpPlanar.IntegerRoots.mid481 line 2703
  1641. lemma OAI.SharpPlanar.IntegerRoots.mid481_contains line 2704
  1642. def OAI.SharpPlanar.IntegerRoots.root481 line 2705
  1643. lemma OAI.SharpPlanar.IntegerRoots.root481_contains line 2706
  1644. def OAI.SharpPlanar.IntegerRoots.root482 line 2709
  1645. lemma OAI.SharpPlanar.IntegerRoots.root482_contains line 2710
  1646. def OAI.SharpPlanar.IntegerRoots.mid483 line 2713
  1647. lemma OAI.SharpPlanar.IntegerRoots.mid483_contains line 2714
  1648. def OAI.SharpPlanar.IntegerRoots.root483 line 2715
  1649. lemma OAI.SharpPlanar.IntegerRoots.root483_contains line 2716
  1650. def OAI.SharpPlanar.IntegerRoots.root484 line 2719
  1651. lemma OAI.SharpPlanar.IntegerRoots.root484_contains line 2720
  1652. def OAI.SharpPlanar.IntegerRoots.mid485 line 2723
  1653. lemma OAI.SharpPlanar.IntegerRoots.mid485_contains line 2724
  1654. def OAI.SharpPlanar.IntegerRoots.root485 line 2725
  1655. lemma OAI.SharpPlanar.IntegerRoots.root485_contains line 2726
  1656. def OAI.SharpPlanar.IntegerRoots.root486 line 2729
  1657. lemma OAI.SharpPlanar.IntegerRoots.root486_contains line 2730
  1658. def OAI.SharpPlanar.IntegerRoots.mid487 line 2733
  1659. lemma OAI.SharpPlanar.IntegerRoots.mid487_contains line 2734
  1660. def OAI.SharpPlanar.IntegerRoots.root487 line 2735
  1661. lemma OAI.SharpPlanar.IntegerRoots.root487_contains line 2736
  1662. def OAI.SharpPlanar.IntegerRoots.root488 line 2739
  1663. lemma OAI.SharpPlanar.IntegerRoots.root488_contains line 2740
  1664. def OAI.SharpPlanar.IntegerRoots.mid489 line 2743
  1665. lemma OAI.SharpPlanar.IntegerRoots.mid489_contains line 2744
  1666. def OAI.SharpPlanar.IntegerRoots.root489 line 2745
  1667. lemma OAI.SharpPlanar.IntegerRoots.root489_contains line 2746
  1668. def OAI.SharpPlanar.IntegerRoots.root490 line 2749
  1669. lemma OAI.SharpPlanar.IntegerRoots.root490_contains line 2750
  1670. def OAI.SharpPlanar.IntegerRoots.mid491 line 2753
  1671. lemma OAI.SharpPlanar.IntegerRoots.mid491_contains line 2754
  1672. def OAI.SharpPlanar.IntegerRoots.root491 line 2755
  1673. lemma OAI.SharpPlanar.IntegerRoots.root491_contains line 2756
  1674. def OAI.SharpPlanar.IntegerRoots.root492 line 2759
  1675. lemma OAI.SharpPlanar.IntegerRoots.root492_contains line 2760
  1676. def OAI.SharpPlanar.IntegerRoots.mid493 line 2763
  1677. lemma OAI.SharpPlanar.IntegerRoots.mid493_contains line 2764
  1678. def OAI.SharpPlanar.IntegerRoots.root493 line 2765
  1679. lemma OAI.SharpPlanar.IntegerRoots.root493_contains line 2766
  1680. def OAI.SharpPlanar.IntegerRoots.root494 line 2769
  1681. lemma OAI.SharpPlanar.IntegerRoots.root494_contains line 2770
  1682. def OAI.SharpPlanar.IntegerRoots.mid495 line 2773
  1683. lemma OAI.SharpPlanar.IntegerRoots.mid495_contains line 2774
  1684. def OAI.SharpPlanar.IntegerRoots.root495 line 2775
  1685. lemma OAI.SharpPlanar.IntegerRoots.root495_contains line 2776
  1686. def OAI.SharpPlanar.IntegerRoots.root496 line 2779
  1687. lemma OAI.SharpPlanar.IntegerRoots.root496_contains line 2780
  1688. def OAI.SharpPlanar.IntegerRoots.mid497 line 2783
  1689. lemma OAI.SharpPlanar.IntegerRoots.mid497_contains line 2784
  1690. def OAI.SharpPlanar.IntegerRoots.root497 line 2785
  1691. lemma OAI.SharpPlanar.IntegerRoots.root497_contains line 2786
  1692. def OAI.SharpPlanar.IntegerRoots.root498 line 2789
  1693. lemma OAI.SharpPlanar.IntegerRoots.root498_contains line 2790
  1694. def OAI.SharpPlanar.IntegerRoots.mid499 line 2793
  1695. lemma OAI.SharpPlanar.IntegerRoots.mid499_contains line 2794
  1696. def OAI.SharpPlanar.IntegerRoots.root499 line 2795
  1697. lemma OAI.SharpPlanar.IntegerRoots.root499_contains line 2796
  1698. def OAI.SharpPlanar.IntegerRoots.root500 line 2799
  1699. lemma OAI.SharpPlanar.IntegerRoots.root500_contains line 2800
  1700. def OAI.SharpPlanar.IntegerRoots.mid501 line 2803
  1701. lemma OAI.SharpPlanar.IntegerRoots.mid501_contains line 2804
  1702. def OAI.SharpPlanar.IntegerRoots.root501 line 2805
  1703. lemma OAI.SharpPlanar.IntegerRoots.root501_contains line 2806
  1704. def OAI.SharpPlanar.IntegerRoots.root502 line 2809
  1705. lemma OAI.SharpPlanar.IntegerRoots.root502_contains line 2810
  1706. def OAI.SharpPlanar.IntegerRoots.mid503 line 2813
  1707. lemma OAI.SharpPlanar.IntegerRoots.mid503_contains line 2814
  1708. def OAI.SharpPlanar.IntegerRoots.root503 line 2815
  1709. lemma OAI.SharpPlanar.IntegerRoots.root503_contains line 2816
  1710. def OAI.SharpPlanar.IntegerRoots.root504 line 2819
  1711. lemma OAI.SharpPlanar.IntegerRoots.root504_contains line 2820
  1712. def OAI.SharpPlanar.IntegerRoots.mid505 line 2823
  1713. lemma OAI.SharpPlanar.IntegerRoots.mid505_contains line 2824
  1714. def OAI.SharpPlanar.IntegerRoots.root505 line 2825
  1715. lemma OAI.SharpPlanar.IntegerRoots.root505_contains line 2826
  1716. def OAI.SharpPlanar.IntegerRoots.root506 line 2829
  1717. lemma OAI.SharpPlanar.IntegerRoots.root506_contains line 2830
  1718. def OAI.SharpPlanar.IntegerRoots.mid507 line 2833
  1719. lemma OAI.SharpPlanar.IntegerRoots.mid507_contains line 2834
  1720. def OAI.SharpPlanar.IntegerRoots.root507 line 2835
  1721. lemma OAI.SharpPlanar.IntegerRoots.root507_contains line 2836
  1722. def OAI.SharpPlanar.IntegerRoots.root508 line 2839
  1723. lemma OAI.SharpPlanar.IntegerRoots.root508_contains line 2840
  1724. def OAI.SharpPlanar.IntegerRoots.mid509 line 2843
  1725. lemma OAI.SharpPlanar.IntegerRoots.mid509_contains line 2844
  1726. def OAI.SharpPlanar.IntegerRoots.root509 line 2845
  1727. lemma OAI.SharpPlanar.IntegerRoots.root509_contains line 2846
  1728. def OAI.SharpPlanar.IntegerRoots.root510 line 2849
  1729. lemma OAI.SharpPlanar.IntegerRoots.root510_contains line 2850
  1730. def OAI.SharpPlanar.IntegerRoots.mid511 line 2853
  1731. lemma OAI.SharpPlanar.IntegerRoots.mid511_contains line 2854
  1732. def OAI.SharpPlanar.IntegerRoots.root511 line 2855
  1733. lemma OAI.SharpPlanar.IntegerRoots.root511_contains line 2856
  1734. def OAI.SharpPlanar.IntegerRoots.root512 line 2859
  1735. lemma OAI.SharpPlanar.IntegerRoots.root512_contains line 2860
  1736. def OAI.SharpPlanar.IntegerRoots.mid513 line 2863
  1737. lemma OAI.SharpPlanar.IntegerRoots.mid513_contains line 2864
  1738. def OAI.SharpPlanar.IntegerRoots.root513 line 2865
  1739. lemma OAI.SharpPlanar.IntegerRoots.root513_contains line 2866
  1740. def OAI.SharpPlanar.IntegerRoots.root514 line 2869
  1741. lemma OAI.SharpPlanar.IntegerRoots.root514_contains line 2870
  1742. def OAI.SharpPlanar.IntegerRoots.mid515 line 2873
  1743. lemma OAI.SharpPlanar.IntegerRoots.mid515_contains line 2874
  1744. def OAI.SharpPlanar.IntegerRoots.root515 line 2875
  1745. lemma OAI.SharpPlanar.IntegerRoots.root515_contains line 2876
  1746. def OAI.SharpPlanar.IntegerRoots.root516 line 2879
  1747. lemma OAI.SharpPlanar.IntegerRoots.root516_contains line 2880
  1748. def OAI.SharpPlanar.IntegerRoots.mid517 line 2883
  1749. lemma OAI.SharpPlanar.IntegerRoots.mid517_contains line 2884
  1750. def OAI.SharpPlanar.IntegerRoots.root517 line 2885
  1751. lemma OAI.SharpPlanar.IntegerRoots.root517_contains line 2886
  1752. def OAI.SharpPlanar.IntegerRoots.root518 line 2889
  1753. lemma OAI.SharpPlanar.IntegerRoots.root518_contains line 2890
  1754. def OAI.SharpPlanar.IntegerRoots.mid519 line 2893
  1755. lemma OAI.SharpPlanar.IntegerRoots.mid519_contains line 2894
  1756. def OAI.SharpPlanar.IntegerRoots.root519 line 2895
  1757. lemma OAI.SharpPlanar.IntegerRoots.root519_contains line 2896
  1758. def OAI.SharpPlanar.IntegerRoots.root520 line 2899
  1759. lemma OAI.SharpPlanar.IntegerRoots.root520_contains line 2900
  1760. def OAI.SharpPlanar.IntegerRoots.mid521 line 2903
  1761. lemma OAI.SharpPlanar.IntegerRoots.mid521_contains line 2904
  1762. def OAI.SharpPlanar.IntegerRoots.root521 line 2905
  1763. lemma OAI.SharpPlanar.IntegerRoots.root521_contains line 2906
  1764. def OAI.SharpPlanar.IntegerRoots.root522 line 2909
  1765. lemma OAI.SharpPlanar.IntegerRoots.root522_contains line 2910
  1766. def OAI.SharpPlanar.IntegerRoots.mid523 line 2913
  1767. lemma OAI.SharpPlanar.IntegerRoots.mid523_contains line 2914
  1768. def OAI.SharpPlanar.IntegerRoots.root523 line 2915
  1769. lemma OAI.SharpPlanar.IntegerRoots.root523_contains line 2916
  1770. def OAI.SharpPlanar.IntegerRoots.root524 line 2919
  1771. lemma OAI.SharpPlanar.IntegerRoots.root524_contains line 2920
  1772. def OAI.SharpPlanar.IntegerRoots.mid525 line 2923
  1773. lemma OAI.SharpPlanar.IntegerRoots.mid525_contains line 2924
  1774. def OAI.SharpPlanar.IntegerRoots.root525 line 2925
  1775. lemma OAI.SharpPlanar.IntegerRoots.root525_contains line 2926
  1776. def OAI.SharpPlanar.IntegerRoots.root526 line 2929
  1777. lemma OAI.SharpPlanar.IntegerRoots.root526_contains line 2930
  1778. def OAI.SharpPlanar.IntegerRoots.mid527 line 2933
  1779. lemma OAI.SharpPlanar.IntegerRoots.mid527_contains line 2934
  1780. def OAI.SharpPlanar.IntegerRoots.root527 line 2935
  1781. lemma OAI.SharpPlanar.IntegerRoots.root527_contains line 2936
  1782. def OAI.SharpPlanar.IntegerRoots.root528 line 2939
  1783. lemma OAI.SharpPlanar.IntegerRoots.root528_contains line 2940
  1784. def OAI.SharpPlanar.IntegerRoots.mid529 line 2943
  1785. lemma OAI.SharpPlanar.IntegerRoots.mid529_contains line 2944
  1786. def OAI.SharpPlanar.IntegerRoots.root529 line 2945
  1787. lemma OAI.SharpPlanar.IntegerRoots.root529_contains line 2946
  1788. def OAI.SharpPlanar.IntegerRoots.root530 line 2949
  1789. lemma OAI.SharpPlanar.IntegerRoots.root530_contains line 2950
  1790. def OAI.SharpPlanar.IntegerRoots.mid531 line 2953
  1791. lemma OAI.SharpPlanar.IntegerRoots.mid531_contains line 2954
  1792. def OAI.SharpPlanar.IntegerRoots.root531 line 2955
  1793. lemma OAI.SharpPlanar.IntegerRoots.root531_contains line 2956
  1794. def OAI.SharpPlanar.IntegerRoots.root532 line 2959
  1795. lemma OAI.SharpPlanar.IntegerRoots.root532_contains line 2960
  1796. def OAI.SharpPlanar.IntegerRoots.mid533 line 2963
  1797. lemma OAI.SharpPlanar.IntegerRoots.mid533_contains line 2964
  1798. def OAI.SharpPlanar.IntegerRoots.root533 line 2965
  1799. lemma OAI.SharpPlanar.IntegerRoots.root533_contains line 2966
  1800. def OAI.SharpPlanar.IntegerRoots.root534 line 2969
  1801. lemma OAI.SharpPlanar.IntegerRoots.root534_contains line 2970
  1802. def OAI.SharpPlanar.IntegerRoots.mid535 line 2973
  1803. lemma OAI.SharpPlanar.IntegerRoots.mid535_contains line 2974
  1804. def OAI.SharpPlanar.IntegerRoots.root535 line 2975
  1805. lemma OAI.SharpPlanar.IntegerRoots.root535_contains line 2976
  1806. def OAI.SharpPlanar.IntegerRoots.root536 line 2979
  1807. lemma OAI.SharpPlanar.IntegerRoots.root536_contains line 2980
  1808. def OAI.SharpPlanar.IntegerRoots.mid537 line 2983
  1809. lemma OAI.SharpPlanar.IntegerRoots.mid537_contains line 2984
  1810. def OAI.SharpPlanar.IntegerRoots.root537 line 2985
  1811. lemma OAI.SharpPlanar.IntegerRoots.root537_contains line 2986
  1812. def OAI.SharpPlanar.IntegerRoots.root538 line 2989
  1813. lemma OAI.SharpPlanar.IntegerRoots.root538_contains line 2990
  1814. def OAI.SharpPlanar.IntegerRoots.mid539 line 2993
  1815. lemma OAI.SharpPlanar.IntegerRoots.mid539_contains line 2994
  1816. def OAI.SharpPlanar.IntegerRoots.root539 line 2995
  1817. lemma OAI.SharpPlanar.IntegerRoots.root539_contains line 2996
  1818. def OAI.SharpPlanar.IntegerRoots.root540 line 2999
  1819. lemma OAI.SharpPlanar.IntegerRoots.root540_contains line 3000
  1820. def OAI.SharpPlanar.IntegerRoots.mid541 line 3003
  1821. lemma OAI.SharpPlanar.IntegerRoots.mid541_contains line 3004
  1822. def OAI.SharpPlanar.IntegerRoots.root541 line 3005
  1823. lemma OAI.SharpPlanar.IntegerRoots.root541_contains line 3006
  1824. def OAI.SharpPlanar.IntegerRoots.root542 line 3009
  1825. lemma OAI.SharpPlanar.IntegerRoots.root542_contains line 3010
  1826. def OAI.SharpPlanar.IntegerRoots.mid543 line 3013
  1827. lemma OAI.SharpPlanar.IntegerRoots.mid543_contains line 3014
  1828. def OAI.SharpPlanar.IntegerRoots.root543 line 3015
  1829. lemma OAI.SharpPlanar.IntegerRoots.root543_contains line 3016
  1830. def OAI.SharpPlanar.IntegerRoots.root544 line 3019
  1831. lemma OAI.SharpPlanar.IntegerRoots.root544_contains line 3020
  1832. def OAI.SharpPlanar.IntegerRoots.mid545 line 3023
  1833. lemma OAI.SharpPlanar.IntegerRoots.mid545_contains line 3024
  1834. def OAI.SharpPlanar.IntegerRoots.root545 line 3025
  1835. lemma OAI.SharpPlanar.IntegerRoots.root545_contains line 3026
  1836. def OAI.SharpPlanar.IntegerRoots.root546 line 3029
  1837. lemma OAI.SharpPlanar.IntegerRoots.root546_contains line 3030
  1838. def OAI.SharpPlanar.IntegerRoots.mid547 line 3033
  1839. lemma OAI.SharpPlanar.IntegerRoots.mid547_contains line 3034
  1840. def OAI.SharpPlanar.IntegerRoots.root547 line 3035
  1841. lemma OAI.SharpPlanar.IntegerRoots.root547_contains line 3036
  1842. def OAI.SharpPlanar.IntegerRoots.root548 line 3039
  1843. lemma OAI.SharpPlanar.IntegerRoots.root548_contains line 3040
  1844. def OAI.SharpPlanar.IntegerRoots.mid549 line 3043
  1845. lemma OAI.SharpPlanar.IntegerRoots.mid549_contains line 3044
  1846. def OAI.SharpPlanar.IntegerRoots.root549 line 3045
  1847. lemma OAI.SharpPlanar.IntegerRoots.root549_contains line 3046
  1848. def OAI.SharpPlanar.IntegerRoots.root550 line 3049
  1849. lemma OAI.SharpPlanar.IntegerRoots.root550_contains line 3050
  1850. def OAI.SharpPlanar.IntegerRoots.mid551 line 3053
  1851. lemma OAI.SharpPlanar.IntegerRoots.mid551_contains line 3054
  1852. def OAI.SharpPlanar.IntegerRoots.root551 line 3055
  1853. lemma OAI.SharpPlanar.IntegerRoots.root551_contains line 3056
  1854. def OAI.SharpPlanar.IntegerRoots.root552 line 3059
  1855. lemma OAI.SharpPlanar.IntegerRoots.root552_contains line 3060
  1856. def OAI.SharpPlanar.IntegerRoots.mid553 line 3063
  1857. lemma OAI.SharpPlanar.IntegerRoots.mid553_contains line 3064
  1858. def OAI.SharpPlanar.IntegerRoots.root553 line 3065
  1859. lemma OAI.SharpPlanar.IntegerRoots.root553_contains line 3066
  1860. def OAI.SharpPlanar.IntegerRoots.root554 line 3069
  1861. lemma OAI.SharpPlanar.IntegerRoots.root554_contains line 3070
  1862. def OAI.SharpPlanar.IntegerRoots.mid555 line 3073
  1863. lemma OAI.SharpPlanar.IntegerRoots.mid555_contains line 3074
  1864. def OAI.SharpPlanar.IntegerRoots.root555 line 3075
  1865. lemma OAI.SharpPlanar.IntegerRoots.root555_contains line 3076
  1866. def OAI.SharpPlanar.IntegerRoots.root556 line 3079
  1867. lemma OAI.SharpPlanar.IntegerRoots.root556_contains line 3080
  1868. def OAI.SharpPlanar.IntegerRoots.mid557 line 3083
  1869. lemma OAI.SharpPlanar.IntegerRoots.mid557_contains line 3084
  1870. def OAI.SharpPlanar.IntegerRoots.root557 line 3085
  1871. lemma OAI.SharpPlanar.IntegerRoots.root557_contains line 3086
  1872. def OAI.SharpPlanar.IntegerRoots.root558 line 3089
  1873. lemma OAI.SharpPlanar.IntegerRoots.root558_contains line 3090
  1874. def OAI.SharpPlanar.IntegerRoots.mid559 line 3093
  1875. lemma OAI.SharpPlanar.IntegerRoots.mid559_contains line 3094
  1876. def OAI.SharpPlanar.IntegerRoots.root559 line 3095
  1877. lemma OAI.SharpPlanar.IntegerRoots.root559_contains line 3096
  1878. def OAI.SharpPlanar.IntegerRoots.root560 line 3099
  1879. lemma OAI.SharpPlanar.IntegerRoots.root560_contains line 3100
  1880. def OAI.SharpPlanar.IntegerRoots.mid561 line 3103
  1881. lemma OAI.SharpPlanar.IntegerRoots.mid561_contains line 3104
  1882. def OAI.SharpPlanar.IntegerRoots.root561 line 3105
  1883. lemma OAI.SharpPlanar.IntegerRoots.root561_contains line 3106
  1884. def OAI.SharpPlanar.IntegerRoots.root562 line 3109
  1885. lemma OAI.SharpPlanar.IntegerRoots.root562_contains line 3110
  1886. def OAI.SharpPlanar.IntegerRoots.mid563 line 3113
  1887. lemma OAI.SharpPlanar.IntegerRoots.mid563_contains line 3114
  1888. def OAI.SharpPlanar.IntegerRoots.root563 line 3115
  1889. lemma OAI.SharpPlanar.IntegerRoots.root563_contains line 3116
  1890. def OAI.SharpPlanar.IntegerRoots.root564 line 3119
  1891. lemma OAI.SharpPlanar.IntegerRoots.root564_contains line 3120
  1892. def OAI.SharpPlanar.IntegerRoots.mid565 line 3123
  1893. lemma OAI.SharpPlanar.IntegerRoots.mid565_contains line 3124
  1894. def OAI.SharpPlanar.IntegerRoots.root565 line 3125
  1895. lemma OAI.SharpPlanar.IntegerRoots.root565_contains line 3126
  1896. def OAI.SharpPlanar.IntegerRoots.root566 line 3129
  1897. lemma OAI.SharpPlanar.IntegerRoots.root566_contains line 3130
  1898. def OAI.SharpPlanar.IntegerRoots.mid567 line 3133
  1899. lemma OAI.SharpPlanar.IntegerRoots.mid567_contains line 3134
  1900. def OAI.SharpPlanar.IntegerRoots.root567 line 3135
  1901. lemma OAI.SharpPlanar.IntegerRoots.root567_contains line 3136
  1902. def OAI.SharpPlanar.IntegerRoots.root568 line 3139
  1903. lemma OAI.SharpPlanar.IntegerRoots.root568_contains line 3140
  1904. def OAI.SharpPlanar.IntegerRoots.mid569 line 3143
  1905. lemma OAI.SharpPlanar.IntegerRoots.mid569_contains line 3144
  1906. def OAI.SharpPlanar.IntegerRoots.root569 line 3145
  1907. lemma OAI.SharpPlanar.IntegerRoots.root569_contains line 3146
  1908. def OAI.SharpPlanar.IntegerRoots.root570 line 3149
  1909. lemma OAI.SharpPlanar.IntegerRoots.root570_contains line 3150
  1910. def OAI.SharpPlanar.IntegerRoots.mid571 line 3153
  1911. lemma OAI.SharpPlanar.IntegerRoots.mid571_contains line 3154
  1912. def OAI.SharpPlanar.IntegerRoots.root571 line 3155
  1913. lemma OAI.SharpPlanar.IntegerRoots.root571_contains line 3156
  1914. def OAI.SharpPlanar.IntegerRoots.root572 line 3159
  1915. lemma OAI.SharpPlanar.IntegerRoots.root572_contains line 3160
  1916. def OAI.SharpPlanar.IntegerRoots.mid573 line 3163
  1917. lemma OAI.SharpPlanar.IntegerRoots.mid573_contains line 3164
  1918. def OAI.SharpPlanar.IntegerRoots.root573 line 3165
  1919. lemma OAI.SharpPlanar.IntegerRoots.root573_contains line 3166
  1920. def OAI.SharpPlanar.IntegerRoots.root574 line 3169
  1921. lemma OAI.SharpPlanar.IntegerRoots.root574_contains line 3170
  1922. def OAI.SharpPlanar.IntegerRoots.mid575 line 3173
  1923. lemma OAI.SharpPlanar.IntegerRoots.mid575_contains line 3174
  1924. def OAI.SharpPlanar.IntegerRoots.root575 line 3175
  1925. lemma OAI.SharpPlanar.IntegerRoots.root575_contains line 3176
  1926. def OAI.SharpPlanar.IntegerRoots.root576 line 3179
  1927. lemma OAI.SharpPlanar.IntegerRoots.root576_contains line 3180
  1928. def OAI.SharpPlanar.IntegerRoots.mid577 line 3183
  1929. lemma OAI.SharpPlanar.IntegerRoots.mid577_contains line 3184
  1930. def OAI.SharpPlanar.IntegerRoots.root577 line 3185
  1931. lemma OAI.SharpPlanar.IntegerRoots.root577_contains line 3186
  1932. def OAI.SharpPlanar.IntegerRoots.root578 line 3189
  1933. lemma OAI.SharpPlanar.IntegerRoots.root578_contains line 3190
  1934. def OAI.SharpPlanar.IntegerRoots.mid579 line 3193
  1935. lemma OAI.SharpPlanar.IntegerRoots.mid579_contains line 3194
  1936. def OAI.SharpPlanar.IntegerRoots.root579 line 3195
  1937. lemma OAI.SharpPlanar.IntegerRoots.root579_contains line 3196
  1938. def OAI.SharpPlanar.IntegerRoots.root580 line 3199
  1939. lemma OAI.SharpPlanar.IntegerRoots.root580_contains line 3200
  1940. def OAI.SharpPlanar.IntegerRoots.mid581 line 3203
  1941. lemma OAI.SharpPlanar.IntegerRoots.mid581_contains line 3204
  1942. def OAI.SharpPlanar.IntegerRoots.root581 line 3205
  1943. lemma OAI.SharpPlanar.IntegerRoots.root581_contains line 3206
  1944. def OAI.SharpPlanar.IntegerRoots.root582 line 3209
  1945. lemma OAI.SharpPlanar.IntegerRoots.root582_contains line 3210
  1946. def OAI.SharpPlanar.IntegerRoots.mid583 line 3213
  1947. lemma OAI.SharpPlanar.IntegerRoots.mid583_contains line 3214
  1948. def OAI.SharpPlanar.IntegerRoots.root583 line 3215
  1949. lemma OAI.SharpPlanar.IntegerRoots.root583_contains line 3216
  1950. def OAI.SharpPlanar.IntegerRoots.root584 line 3219
  1951. lemma OAI.SharpPlanar.IntegerRoots.root584_contains line 3220
  1952. def OAI.SharpPlanar.IntegerRoots.mid585 line 3223
  1953. lemma OAI.SharpPlanar.IntegerRoots.mid585_contains line 3224
  1954. def OAI.SharpPlanar.IntegerRoots.root585 line 3225
  1955. lemma OAI.SharpPlanar.IntegerRoots.root585_contains line 3226
  1956. def OAI.SharpPlanar.IntegerRoots.root586 line 3229
  1957. lemma OAI.SharpPlanar.IntegerRoots.root586_contains line 3230
  1958. def OAI.SharpPlanar.IntegerRoots.mid587 line 3233
  1959. lemma OAI.SharpPlanar.IntegerRoots.mid587_contains line 3234
  1960. def OAI.SharpPlanar.IntegerRoots.root587 line 3235
  1961. lemma OAI.SharpPlanar.IntegerRoots.root587_contains line 3236
  1962. def OAI.SharpPlanar.IntegerRoots.root588 line 3239
  1963. lemma OAI.SharpPlanar.IntegerRoots.root588_contains line 3240
  1964. def OAI.SharpPlanar.IntegerRoots.mid589 line 3243
  1965. lemma OAI.SharpPlanar.IntegerRoots.mid589_contains line 3244
  1966. def OAI.SharpPlanar.IntegerRoots.root589 line 3245
  1967. lemma OAI.SharpPlanar.IntegerRoots.root589_contains line 3246
  1968. def OAI.SharpPlanar.IntegerRoots.root590 line 3249
  1969. lemma OAI.SharpPlanar.IntegerRoots.root590_contains line 3250
  1970. def OAI.SharpPlanar.IntegerRoots.mid591 line 3253
  1971. lemma OAI.SharpPlanar.IntegerRoots.mid591_contains line 3254
  1972. def OAI.SharpPlanar.IntegerRoots.root591 line 3255
  1973. lemma OAI.SharpPlanar.IntegerRoots.root591_contains line 3256
  1974. def OAI.SharpPlanar.IntegerRoots.root592 line 3259
  1975. lemma OAI.SharpPlanar.IntegerRoots.root592_contains line 3260
  1976. def OAI.SharpPlanar.IntegerRoots.mid593 line 3263
  1977. lemma OAI.SharpPlanar.IntegerRoots.mid593_contains line 3264
  1978. def OAI.SharpPlanar.IntegerRoots.root593 line 3265
  1979. lemma OAI.SharpPlanar.IntegerRoots.root593_contains line 3266
  1980. def OAI.SharpPlanar.IntegerRoots.root594 line 3269
  1981. lemma OAI.SharpPlanar.IntegerRoots.root594_contains line 3270
  1982. def OAI.SharpPlanar.IntegerRoots.mid595 line 3273
  1983. lemma OAI.SharpPlanar.IntegerRoots.mid595_contains line 3274
  1984. def OAI.SharpPlanar.IntegerRoots.root595 line 3275
  1985. lemma OAI.SharpPlanar.IntegerRoots.root595_contains line 3276
  1986. def OAI.SharpPlanar.IntegerRoots.root596 line 3279
  1987. lemma OAI.SharpPlanar.IntegerRoots.root596_contains line 3280
  1988. def OAI.SharpPlanar.IntegerRoots.mid597 line 3283
  1989. lemma OAI.SharpPlanar.IntegerRoots.mid597_contains line 3284
  1990. def OAI.SharpPlanar.IntegerRoots.root597 line 3285
  1991. lemma OAI.SharpPlanar.IntegerRoots.root597_contains line 3286
  1992. def OAI.SharpPlanar.IntegerRoots.root598 line 3289
  1993. lemma OAI.SharpPlanar.IntegerRoots.root598_contains line 3290
  1994. def OAI.SharpPlanar.IntegerRoots.mid599 line 3293
  1995. lemma OAI.SharpPlanar.IntegerRoots.mid599_contains line 3294
  1996. def OAI.SharpPlanar.IntegerRoots.root599 line 3295
  1997. lemma OAI.SharpPlanar.IntegerRoots.root599_contains line 3296
  1998. def OAI.SharpPlanar.IntegerRoots.root600 line 3299
  1999. lemma OAI.SharpPlanar.IntegerRoots.root600_contains line 3300
  2000. def OAI.SharpPlanar.IntegerRoots.mid601 line 3303
  2001. lemma OAI.SharpPlanar.IntegerRoots.mid601_contains line 3304
  2002. def OAI.SharpPlanar.IntegerRoots.root601 line 3305
  2003. lemma OAI.SharpPlanar.IntegerRoots.root601_contains line 3306
  2004. def OAI.SharpPlanar.IntegerRoots.root602 line 3309
  2005. lemma OAI.SharpPlanar.IntegerRoots.root602_contains line 3310
  2006. def OAI.SharpPlanar.IntegerRoots.mid603 line 3313
  2007. lemma OAI.SharpPlanar.IntegerRoots.mid603_contains line 3314
  2008. def OAI.SharpPlanar.IntegerRoots.root603 line 3315
  2009. lemma OAI.SharpPlanar.IntegerRoots.root603_contains line 3316
  2010. def OAI.SharpPlanar.IntegerRoots.root604 line 3319
  2011. lemma OAI.SharpPlanar.IntegerRoots.root604_contains line 3320
  2012. def OAI.SharpPlanar.IntegerRoots.mid605 line 3323
  2013. lemma OAI.SharpPlanar.IntegerRoots.mid605_contains line 3324
  2014. def OAI.SharpPlanar.IntegerRoots.root605 line 3325
  2015. lemma OAI.SharpPlanar.IntegerRoots.root605_contains line 3326
  2016. def OAI.SharpPlanar.IntegerRoots.root606 line 3329
  2017. lemma OAI.SharpPlanar.IntegerRoots.root606_contains line 3330
  2018. def OAI.SharpPlanar.IntegerRoots.mid607 line 3333
  2019. lemma OAI.SharpPlanar.IntegerRoots.mid607_contains line 3334
  2020. def OAI.SharpPlanar.IntegerRoots.root607 line 3335
  2021. lemma OAI.SharpPlanar.IntegerRoots.root607_contains line 3336
  2022. def OAI.SharpPlanar.IntegerRoots.root608 line 3339
  2023. lemma OAI.SharpPlanar.IntegerRoots.root608_contains line 3340
  2024. def OAI.SharpPlanar.IntegerRoots.mid609 line 3343
  2025. lemma OAI.SharpPlanar.IntegerRoots.mid609_contains line 3344
  2026. def OAI.SharpPlanar.IntegerRoots.root609 line 3345
  2027. lemma OAI.SharpPlanar.IntegerRoots.root609_contains line 3346
  2028. def OAI.SharpPlanar.IntegerRoots.root610 line 3349
  2029. lemma OAI.SharpPlanar.IntegerRoots.root610_contains line 3350
  2030. def OAI.SharpPlanar.IntegerRoots.mid611 line 3353
  2031. lemma OAI.SharpPlanar.IntegerRoots.mid611_contains line 3354
  2032. def OAI.SharpPlanar.IntegerRoots.root611 line 3355
  2033. lemma OAI.SharpPlanar.IntegerRoots.root611_contains line 3356
  2034. def OAI.SharpPlanar.IntegerRoots.root612 line 3359
  2035. lemma OAI.SharpPlanar.IntegerRoots.root612_contains line 3360
  2036. def OAI.SharpPlanar.IntegerRoots.mid613 line 3363
  2037. lemma OAI.SharpPlanar.IntegerRoots.mid613_contains line 3364
  2038. def OAI.SharpPlanar.IntegerRoots.root613 line 3365
  2039. lemma OAI.SharpPlanar.IntegerRoots.root613_contains line 3366
  2040. def OAI.SharpPlanar.IntegerRoots.root614 line 3369
  2041. lemma OAI.SharpPlanar.IntegerRoots.root614_contains line 3370
  2042. def OAI.SharpPlanar.IntegerRoots.mid615 line 3373
  2043. lemma OAI.SharpPlanar.IntegerRoots.mid615_contains line 3374
  2044. def OAI.SharpPlanar.IntegerRoots.root615 line 3375
  2045. lemma OAI.SharpPlanar.IntegerRoots.root615_contains line 3376
  2046. def OAI.SharpPlanar.IntegerRoots.root616 line 3379
  2047. lemma OAI.SharpPlanar.IntegerRoots.root616_contains line 3380
  2048. def OAI.SharpPlanar.IntegerRoots.mid617 line 3383
  2049. lemma OAI.SharpPlanar.IntegerRoots.mid617_contains line 3384
  2050. def OAI.SharpPlanar.IntegerRoots.root617 line 3385
  2051. lemma OAI.SharpPlanar.IntegerRoots.root617_contains line 3386
  2052. def OAI.SharpPlanar.IntegerRoots.root618 line 3389
  2053. lemma OAI.SharpPlanar.IntegerRoots.root618_contains line 3390
  2054. def OAI.SharpPlanar.IntegerRoots.mid619 line 3393
  2055. lemma OAI.SharpPlanar.IntegerRoots.mid619_contains line 3394
  2056. def OAI.SharpPlanar.IntegerRoots.root619 line 3395
  2057. lemma OAI.SharpPlanar.IntegerRoots.root619_contains line 3396
  2058. def OAI.SharpPlanar.IntegerRoots.root620 line 3399
  2059. lemma OAI.SharpPlanar.IntegerRoots.root620_contains line 3400
  2060. def OAI.SharpPlanar.IntegerRoots.mid621 line 3403
  2061. lemma OAI.SharpPlanar.IntegerRoots.mid621_contains line 3404
  2062. def OAI.SharpPlanar.IntegerRoots.root621 line 3405
  2063. lemma OAI.SharpPlanar.IntegerRoots.root621_contains line 3406
  2064. def OAI.SharpPlanar.IntegerRoots.root622 line 3409
  2065. lemma OAI.SharpPlanar.IntegerRoots.root622_contains line 3410
  2066. def OAI.SharpPlanar.IntegerRoots.mid623 line 3413
  2067. lemma OAI.SharpPlanar.IntegerRoots.mid623_contains line 3414
  2068. def OAI.SharpPlanar.IntegerRoots.root623 line 3415
  2069. lemma OAI.SharpPlanar.IntegerRoots.root623_contains line 3416
  2070. def OAI.SharpPlanar.IntegerRoots.root624 line 3419
  2071. lemma OAI.SharpPlanar.IntegerRoots.root624_contains line 3420
  2072. def OAI.SharpPlanar.IntegerRoots.mid625 line 3423
  2073. lemma OAI.SharpPlanar.IntegerRoots.mid625_contains line 3424
  2074. def OAI.SharpPlanar.IntegerRoots.root625 line 3425
  2075. lemma OAI.SharpPlanar.IntegerRoots.root625_contains line 3426
  2076. def OAI.SharpPlanar.IntegerRoots.root626 line 3429
  2077. lemma OAI.SharpPlanar.IntegerRoots.root626_contains line 3430
  2078. def OAI.SharpPlanar.IntegerRoots.mid627 line 3433
  2079. lemma OAI.SharpPlanar.IntegerRoots.mid627_contains line 3434
  2080. def OAI.SharpPlanar.IntegerRoots.root627 line 3435
  2081. lemma OAI.SharpPlanar.IntegerRoots.root627_contains line 3436
  2082. def OAI.SharpPlanar.IntegerRoots.root628 line 3439
  2083. lemma OAI.SharpPlanar.IntegerRoots.root628_contains line 3440
  2084. def OAI.SharpPlanar.IntegerRoots.mid629 line 3443
  2085. lemma OAI.SharpPlanar.IntegerRoots.mid629_contains line 3444
  2086. def OAI.SharpPlanar.IntegerRoots.root629 line 3445
  2087. lemma OAI.SharpPlanar.IntegerRoots.root629_contains line 3446
  2088. def OAI.SharpPlanar.IntegerRoots.root630 line 3449
  2089. lemma OAI.SharpPlanar.IntegerRoots.root630_contains line 3450
  2090. def OAI.SharpPlanar.IntegerRoots.mid631 line 3453
  2091. lemma OAI.SharpPlanar.IntegerRoots.mid631_contains line 3454
  2092. def OAI.SharpPlanar.IntegerRoots.root631 line 3455
  2093. lemma OAI.SharpPlanar.IntegerRoots.root631_contains line 3456
  2094. def OAI.SharpPlanar.IntegerRoots.root632 line 3459
  2095. lemma OAI.SharpPlanar.IntegerRoots.root632_contains line 3460
  2096. def OAI.SharpPlanar.IntegerRoots.mid633 line 3463
  2097. lemma OAI.SharpPlanar.IntegerRoots.mid633_contains line 3464
  2098. def OAI.SharpPlanar.IntegerRoots.root633 line 3465
  2099. lemma OAI.SharpPlanar.IntegerRoots.root633_contains line 3466
  2100. def OAI.SharpPlanar.IntegerRoots.root634 line 3469
  2101. lemma OAI.SharpPlanar.IntegerRoots.root634_contains line 3470
  2102. def OAI.SharpPlanar.IntegerRoots.mid635 line 3473
  2103. lemma OAI.SharpPlanar.IntegerRoots.mid635_contains line 3474
  2104. def OAI.SharpPlanar.IntegerRoots.root635 line 3475
  2105. lemma OAI.SharpPlanar.IntegerRoots.root635_contains line 3476
  2106. def OAI.SharpPlanar.IntegerRoots.root636 line 3479
  2107. lemma OAI.SharpPlanar.IntegerRoots.root636_contains line 3480
  2108. def OAI.SharpPlanar.IntegerRoots.mid637 line 3483
  2109. lemma OAI.SharpPlanar.IntegerRoots.mid637_contains line 3484
  2110. def OAI.SharpPlanar.IntegerRoots.root637 line 3485
  2111. lemma OAI.SharpPlanar.IntegerRoots.root637_contains line 3486
  2112. def OAI.SharpPlanar.IntegerRoots.root638 line 3489
  2113. lemma OAI.SharpPlanar.IntegerRoots.root638_contains line 3490
  2114. def OAI.SharpPlanar.IntegerRoots.mid639 line 3493
  2115. lemma OAI.SharpPlanar.IntegerRoots.mid639_contains line 3494
  2116. def OAI.SharpPlanar.IntegerRoots.root639 line 3495
  2117. lemma OAI.SharpPlanar.IntegerRoots.root639_contains line 3496
  2118. def OAI.SharpPlanar.IntegerRoots.root640 line 3499
  2119. lemma OAI.SharpPlanar.IntegerRoots.root640_contains line 3500
  2120. def OAI.SharpPlanar.IntegerRoots.mid641 line 3503
  2121. lemma OAI.SharpPlanar.IntegerRoots.mid641_contains line 3504
  2122. def OAI.SharpPlanar.IntegerRoots.root641 line 3505
  2123. lemma OAI.SharpPlanar.IntegerRoots.root641_contains line 3506
  2124. def OAI.SharpPlanar.IntegerRoots.root642 line 3509
  2125. lemma OAI.SharpPlanar.IntegerRoots.root642_contains line 3510
  2126. def OAI.SharpPlanar.IntegerRoots.mid643 line 3513
  2127. lemma OAI.SharpPlanar.IntegerRoots.mid643_contains line 3514
  2128. def OAI.SharpPlanar.IntegerRoots.root643 line 3515
  2129. lemma OAI.SharpPlanar.IntegerRoots.root643_contains line 3516
  2130. def OAI.SharpPlanar.IntegerRoots.root644 line 3519
  2131. lemma OAI.SharpPlanar.IntegerRoots.root644_contains line 3520
  2132. def OAI.SharpPlanar.IntegerRoots.mid645 line 3523
  2133. lemma OAI.SharpPlanar.IntegerRoots.mid645_contains line 3524
  2134. def OAI.SharpPlanar.IntegerRoots.root645 line 3525
  2135. lemma OAI.SharpPlanar.IntegerRoots.root645_contains line 3526
  2136. def OAI.SharpPlanar.IntegerRoots.root646 line 3529
  2137. lemma OAI.SharpPlanar.IntegerRoots.root646_contains line 3530
  2138. def OAI.SharpPlanar.IntegerRoots.mid647 line 3533
  2139. lemma OAI.SharpPlanar.IntegerRoots.mid647_contains line 3534
  2140. def OAI.SharpPlanar.IntegerRoots.root647 line 3535
  2141. lemma OAI.SharpPlanar.IntegerRoots.root647_contains line 3536
  2142. def OAI.SharpPlanar.IntegerRoots.root648 line 3539
  2143. lemma OAI.SharpPlanar.IntegerRoots.root648_contains line 3540
  2144. def OAI.SharpPlanar.IntegerRoots.mid649 line 3543
  2145. lemma OAI.SharpPlanar.IntegerRoots.mid649_contains line 3544
  2146. def OAI.SharpPlanar.IntegerRoots.root649 line 3545
  2147. lemma OAI.SharpPlanar.IntegerRoots.root649_contains line 3546
  2148. def OAI.SharpPlanar.IntegerRoots.root650 line 3549
  2149. lemma OAI.SharpPlanar.IntegerRoots.root650_contains line 3550
  2150. def OAI.SharpPlanar.IntegerRoots.mid651 line 3553
  2151. lemma OAI.SharpPlanar.IntegerRoots.mid651_contains line 3554
  2152. def OAI.SharpPlanar.IntegerRoots.root651 line 3555
  2153. lemma OAI.SharpPlanar.IntegerRoots.root651_contains line 3556
  2154. def OAI.SharpPlanar.IntegerRoots.root652 line 3559
  2155. lemma OAI.SharpPlanar.IntegerRoots.root652_contains line 3560
  2156. def OAI.SharpPlanar.IntegerRoots.mid653 line 3563
  2157. lemma OAI.SharpPlanar.IntegerRoots.mid653_contains line 3564
  2158. def OAI.SharpPlanar.IntegerRoots.root653 line 3565
  2159. lemma OAI.SharpPlanar.IntegerRoots.root653_contains line 3566
  2160. def OAI.SharpPlanar.IntegerRoots.root654 line 3569
  2161. lemma OAI.SharpPlanar.IntegerRoots.root654_contains line 3570
  2162. def OAI.SharpPlanar.IntegerRoots.mid655 line 3573
  2163. lemma OAI.SharpPlanar.IntegerRoots.mid655_contains line 3574
  2164. def OAI.SharpPlanar.IntegerRoots.root655 line 3575
  2165. lemma OAI.SharpPlanar.IntegerRoots.root655_contains line 3576
  2166. def OAI.SharpPlanar.IntegerRoots.root656 line 3579
  2167. lemma OAI.SharpPlanar.IntegerRoots.root656_contains line 3580
  2168. def OAI.SharpPlanar.IntegerRoots.mid657 line 3583
  2169. lemma OAI.SharpPlanar.IntegerRoots.mid657_contains line 3584
  2170. def OAI.SharpPlanar.IntegerRoots.root657 line 3585
  2171. lemma OAI.SharpPlanar.IntegerRoots.root657_contains line 3586
  2172. def OAI.SharpPlanar.IntegerRoots.root658 line 3589
  2173. lemma OAI.SharpPlanar.IntegerRoots.root658_contains line 3590
  2174. def OAI.SharpPlanar.IntegerRoots.mid659 line 3593
  2175. lemma OAI.SharpPlanar.IntegerRoots.mid659_contains line 3594
  2176. def OAI.SharpPlanar.IntegerRoots.root659 line 3595
  2177. lemma OAI.SharpPlanar.IntegerRoots.root659_contains line 3596
  2178. def OAI.SharpPlanar.IntegerRoots.root660 line 3599
  2179. lemma OAI.SharpPlanar.IntegerRoots.root660_contains line 3600
  2180. def OAI.SharpPlanar.IntegerRoots.mid661 line 3603
  2181. lemma OAI.SharpPlanar.IntegerRoots.mid661_contains line 3604
  2182. def OAI.SharpPlanar.IntegerRoots.root661 line 3605
  2183. lemma OAI.SharpPlanar.IntegerRoots.root661_contains line 3606
  2184. def OAI.SharpPlanar.IntegerRoots.root662 line 3609
  2185. lemma OAI.SharpPlanar.IntegerRoots.root662_contains line 3610
  2186. def OAI.SharpPlanar.IntegerRoots.mid663 line 3613
  2187. lemma OAI.SharpPlanar.IntegerRoots.mid663_contains line 3614
  2188. def OAI.SharpPlanar.IntegerRoots.root663 line 3615
  2189. lemma OAI.SharpPlanar.IntegerRoots.root663_contains line 3616
  2190. def OAI.SharpPlanar.IntegerRoots.root664 line 3619
  2191. lemma OAI.SharpPlanar.IntegerRoots.root664_contains line 3620
  2192. def OAI.SharpPlanar.IntegerRoots.mid665 line 3623
  2193. lemma OAI.SharpPlanar.IntegerRoots.mid665_contains line 3624
  2194. def OAI.SharpPlanar.IntegerRoots.root665 line 3625
  2195. lemma OAI.SharpPlanar.IntegerRoots.root665_contains line 3626
  2196. def OAI.SharpPlanar.IntegerRoots.root666 line 3629
  2197. lemma OAI.SharpPlanar.IntegerRoots.root666_contains line 3630
  2198. def OAI.SharpPlanar.IntegerRoots.mid667 line 3633
  2199. lemma OAI.SharpPlanar.IntegerRoots.mid667_contains line 3634
  2200. def OAI.SharpPlanar.IntegerRoots.root667 line 3635
  2201. lemma OAI.SharpPlanar.IntegerRoots.root667_contains line 3636
  2202. def OAI.SharpPlanar.IntegerRoots.root668 line 3639
  2203. lemma OAI.SharpPlanar.IntegerRoots.root668_contains line 3640
  2204. def OAI.SharpPlanar.IntegerRoots.mid669 line 3643
  2205. lemma OAI.SharpPlanar.IntegerRoots.mid669_contains line 3644
  2206. def OAI.SharpPlanar.IntegerRoots.root669 line 3645
  2207. lemma OAI.SharpPlanar.IntegerRoots.root669_contains line 3646
  2208. def OAI.SharpPlanar.IntegerRoots.root670 line 3649
  2209. lemma OAI.SharpPlanar.IntegerRoots.root670_contains line 3650
  2210. def OAI.SharpPlanar.IntegerRoots.mid671 line 3653
  2211. lemma OAI.SharpPlanar.IntegerRoots.mid671_contains line 3654
  2212. def OAI.SharpPlanar.IntegerRoots.root671 line 3655
  2213. lemma OAI.SharpPlanar.IntegerRoots.root671_contains line 3656
  2214. def OAI.SharpPlanar.IntegerRoots.root672 line 3659
  2215. lemma OAI.SharpPlanar.IntegerRoots.root672_contains line 3660
  2216. def OAI.SharpPlanar.IntegerRoots.mid673 line 3663
  2217. lemma OAI.SharpPlanar.IntegerRoots.mid673_contains line 3664
  2218. def OAI.SharpPlanar.IntegerRoots.root673 line 3665
  2219. lemma OAI.SharpPlanar.IntegerRoots.root673_contains line 3666
  2220. def OAI.SharpPlanar.IntegerRoots.root674 line 3669
  2221. lemma OAI.SharpPlanar.IntegerRoots.root674_contains line 3670
  2222. def OAI.SharpPlanar.IntegerRoots.mid675 line 3673
  2223. lemma OAI.SharpPlanar.IntegerRoots.mid675_contains line 3674
  2224. def OAI.SharpPlanar.IntegerRoots.root675 line 3675
  2225. lemma OAI.SharpPlanar.IntegerRoots.root675_contains line 3676
  2226. def OAI.SharpPlanar.IntegerRoots.root676 line 3679
  2227. lemma OAI.SharpPlanar.IntegerRoots.root676_contains line 3680
  2228. def OAI.SharpPlanar.IntegerRoots.mid677 line 3683
  2229. lemma OAI.SharpPlanar.IntegerRoots.mid677_contains line 3684
  2230. def OAI.SharpPlanar.IntegerRoots.root677 line 3685
  2231. lemma OAI.SharpPlanar.IntegerRoots.root677_contains line 3686
  2232. def OAI.SharpPlanar.IntegerRoots.root678 line 3689
  2233. lemma OAI.SharpPlanar.IntegerRoots.root678_contains line 3690
  2234. def OAI.SharpPlanar.IntegerRoots.mid679 line 3693
  2235. lemma OAI.SharpPlanar.IntegerRoots.mid679_contains line 3694
  2236. def OAI.SharpPlanar.IntegerRoots.root679 line 3695
  2237. lemma OAI.SharpPlanar.IntegerRoots.root679_contains line 3696
  2238. def OAI.SharpPlanar.IntegerRoots.root680 line 3699
  2239. lemma OAI.SharpPlanar.IntegerRoots.root680_contains line 3700
  2240. def OAI.SharpPlanar.IntegerRoots.mid681 line 3703
  2241. lemma OAI.SharpPlanar.IntegerRoots.mid681_contains line 3704
  2242. def OAI.SharpPlanar.IntegerRoots.root681 line 3705
  2243. lemma OAI.SharpPlanar.IntegerRoots.root681_contains line 3706
  2244. def OAI.SharpPlanar.IntegerRoots.root682 line 3709
  2245. lemma OAI.SharpPlanar.IntegerRoots.root682_contains line 3710
  2246. def OAI.SharpPlanar.IntegerRoots.mid683 line 3713
  2247. lemma OAI.SharpPlanar.IntegerRoots.mid683_contains line 3714
  2248. def OAI.SharpPlanar.IntegerRoots.root683 line 3715
  2249. lemma OAI.SharpPlanar.IntegerRoots.root683_contains line 3716
  2250. def OAI.SharpPlanar.IntegerRoots.root684 line 3719
  2251. lemma OAI.SharpPlanar.IntegerRoots.root684_contains line 3720
  2252. def OAI.SharpPlanar.IntegerRoots.mid685 line 3723
  2253. lemma OAI.SharpPlanar.IntegerRoots.mid685_contains line 3724
  2254. def OAI.SharpPlanar.IntegerRoots.root685 line 3725
  2255. lemma OAI.SharpPlanar.IntegerRoots.root685_contains line 3726
  2256. def OAI.SharpPlanar.IntegerRoots.root686 line 3729
  2257. lemma OAI.SharpPlanar.IntegerRoots.root686_contains line 3730
  2258. def OAI.SharpPlanar.IntegerRoots.mid687 line 3733
  2259. lemma OAI.SharpPlanar.IntegerRoots.mid687_contains line 3734
  2260. def OAI.SharpPlanar.IntegerRoots.root687 line 3735
  2261. lemma OAI.SharpPlanar.IntegerRoots.root687_contains line 3736
  2262. def OAI.SharpPlanar.IntegerRoots.root688 line 3739
  2263. lemma OAI.SharpPlanar.IntegerRoots.root688_contains line 3740
  2264. def OAI.SharpPlanar.IntegerRoots.mid689 line 3743
  2265. lemma OAI.SharpPlanar.IntegerRoots.mid689_contains line 3744
  2266. def OAI.SharpPlanar.IntegerRoots.root689 line 3745
  2267. lemma OAI.SharpPlanar.IntegerRoots.root689_contains line 3746
  2268. def OAI.SharpPlanar.IntegerRoots.root690 line 3749
  2269. lemma OAI.SharpPlanar.IntegerRoots.root690_contains line 3750
  2270. def OAI.SharpPlanar.IntegerRoots.mid691 line 3753
  2271. lemma OAI.SharpPlanar.IntegerRoots.mid691_contains line 3754
  2272. def OAI.SharpPlanar.IntegerRoots.root691 line 3755
  2273. lemma OAI.SharpPlanar.IntegerRoots.root691_contains line 3756
  2274. def OAI.SharpPlanar.IntegerRoots.root692 line 3759
  2275. lemma OAI.SharpPlanar.IntegerRoots.root692_contains line 3760
  2276. def OAI.SharpPlanar.IntegerRoots.mid693 line 3763
  2277. lemma OAI.SharpPlanar.IntegerRoots.mid693_contains line 3764
  2278. def OAI.SharpPlanar.IntegerRoots.root693 line 3765
  2279. lemma OAI.SharpPlanar.IntegerRoots.root693_contains line 3766
  2280. def OAI.SharpPlanar.IntegerRoots.root694 line 3769
  2281. lemma OAI.SharpPlanar.IntegerRoots.root694_contains line 3770
  2282. def OAI.SharpPlanar.IntegerRoots.mid695 line 3773
  2283. lemma OAI.SharpPlanar.IntegerRoots.mid695_contains line 3774
  2284. def OAI.SharpPlanar.IntegerRoots.root695 line 3775
  2285. lemma OAI.SharpPlanar.IntegerRoots.root695_contains line 3776
  2286. def OAI.SharpPlanar.IntegerRoots.root696 line 3779
  2287. lemma OAI.SharpPlanar.IntegerRoots.root696_contains line 3780
  2288. def OAI.SharpPlanar.IntegerRoots.mid697 line 3783
  2289. lemma OAI.SharpPlanar.IntegerRoots.mid697_contains line 3784
  2290. def OAI.SharpPlanar.IntegerRoots.root697 line 3785
  2291. lemma OAI.SharpPlanar.IntegerRoots.root697_contains line 3786
  2292. def OAI.SharpPlanar.IntegerRoots.root698 line 3789
  2293. lemma OAI.SharpPlanar.IntegerRoots.root698_contains line 3790
  2294. def OAI.SharpPlanar.IntegerRoots.mid699 line 3793
  2295. lemma OAI.SharpPlanar.IntegerRoots.mid699_contains line 3794
  2296. def OAI.SharpPlanar.IntegerRoots.root699 line 3795
  2297. lemma OAI.SharpPlanar.IntegerRoots.root699_contains line 3796
  2298. def OAI.SharpPlanar.IntegerRoots.root700 line 3799
  2299. lemma OAI.SharpPlanar.IntegerRoots.root700_contains line 3800
  2300. def OAI.SharpPlanar.IntegerRoots.mid701 line 3803
  2301. lemma OAI.SharpPlanar.IntegerRoots.mid701_contains line 3804
  2302. def OAI.SharpPlanar.IntegerRoots.root701 line 3805
  2303. lemma OAI.SharpPlanar.IntegerRoots.root701_contains line 3806
  2304. def OAI.SharpPlanar.IntegerRoots.root702 line 3809
  2305. lemma OAI.SharpPlanar.IntegerRoots.root702_contains line 3810
  2306. def OAI.SharpPlanar.IntegerRoots.mid703 line 3813
  2307. lemma OAI.SharpPlanar.IntegerRoots.mid703_contains line 3814
  2308. def OAI.SharpPlanar.IntegerRoots.root703 line 3815
  2309. lemma OAI.SharpPlanar.IntegerRoots.root703_contains line 3816
  2310. def OAI.SharpPlanar.IntegerRoots.root704 line 3819
  2311. lemma OAI.SharpPlanar.IntegerRoots.root704_contains line 3820
  2312. def OAI.SharpPlanar.IntegerRoots.mid705 line 3823
  2313. lemma OAI.SharpPlanar.IntegerRoots.mid705_contains line 3824
  2314. def OAI.SharpPlanar.IntegerRoots.root705 line 3825
  2315. lemma OAI.SharpPlanar.IntegerRoots.root705_contains line 3826
  2316. def OAI.SharpPlanar.IntegerRoots.root706 line 3829
  2317. lemma OAI.SharpPlanar.IntegerRoots.root706_contains line 3830
  2318. def OAI.SharpPlanar.IntegerRoots.mid707 line 3833
  2319. lemma OAI.SharpPlanar.IntegerRoots.mid707_contains line 3834
  2320. def OAI.SharpPlanar.IntegerRoots.root707 line 3835
  2321. lemma OAI.SharpPlanar.IntegerRoots.root707_contains line 3836
  2322. def OAI.SharpPlanar.IntegerRoots.root708 line 3839
  2323. lemma OAI.SharpPlanar.IntegerRoots.root708_contains line 3840
  2324. def OAI.SharpPlanar.IntegerRoots.mid709 line 3843
  2325. lemma OAI.SharpPlanar.IntegerRoots.mid709_contains line 3844
  2326. def OAI.SharpPlanar.IntegerRoots.root709 line 3845
  2327. lemma OAI.SharpPlanar.IntegerRoots.root709_contains line 3846
  2328. def OAI.SharpPlanar.IntegerRoots.root710 line 3849
  2329. lemma OAI.SharpPlanar.IntegerRoots.root710_contains line 3850
  2330. def OAI.SharpPlanar.IntegerRoots.mid711 line 3853
  2331. lemma OAI.SharpPlanar.IntegerRoots.mid711_contains line 3854
  2332. def OAI.SharpPlanar.IntegerRoots.root711 line 3855
  2333. lemma OAI.SharpPlanar.IntegerRoots.root711_contains line 3856
  2334. def OAI.SharpPlanar.IntegerRoots.root712 line 3859
  2335. lemma OAI.SharpPlanar.IntegerRoots.root712_contains line 3860
  2336. def OAI.SharpPlanar.IntegerRoots.mid713 line 3863
  2337. lemma OAI.SharpPlanar.IntegerRoots.mid713_contains line 3864
  2338. def OAI.SharpPlanar.IntegerRoots.root713 line 3865
  2339. lemma OAI.SharpPlanar.IntegerRoots.root713_contains line 3866
  2340. def OAI.SharpPlanar.IntegerRoots.root714 line 3869
  2341. lemma OAI.SharpPlanar.IntegerRoots.root714_contains line 3870
  2342. def OAI.SharpPlanar.IntegerRoots.mid715 line 3873
  2343. lemma OAI.SharpPlanar.IntegerRoots.mid715_contains line 3874
  2344. def OAI.SharpPlanar.IntegerRoots.root715 line 3875
  2345. lemma OAI.SharpPlanar.IntegerRoots.root715_contains line 3876
  2346. def OAI.SharpPlanar.IntegerRoots.root716 line 3879
  2347. lemma OAI.SharpPlanar.IntegerRoots.root716_contains line 3880
  2348. def OAI.SharpPlanar.IntegerRoots.mid717 line 3883
  2349. lemma OAI.SharpPlanar.IntegerRoots.mid717_contains line 3884
  2350. def OAI.SharpPlanar.IntegerRoots.root717 line 3885
  2351. lemma OAI.SharpPlanar.IntegerRoots.root717_contains line 3886
  2352. def OAI.SharpPlanar.IntegerRoots.root718 line 3889
  2353. lemma OAI.SharpPlanar.IntegerRoots.root718_contains line 3890
  2354. def OAI.SharpPlanar.IntegerRoots.mid719 line 3893
  2355. lemma OAI.SharpPlanar.IntegerRoots.mid719_contains line 3894
  2356. def OAI.SharpPlanar.IntegerRoots.root719 line 3895
  2357. lemma OAI.SharpPlanar.IntegerRoots.root719_contains line 3896
  2358. def OAI.SharpPlanar.IntegerRoots.root720 line 3899
  2359. lemma OAI.SharpPlanar.IntegerRoots.root720_contains line 3900
  2360. def OAI.SharpPlanar.IntegerRoots.mid721 line 3903
  2361. lemma OAI.SharpPlanar.IntegerRoots.mid721_contains line 3904
  2362. def OAI.SharpPlanar.IntegerRoots.root721 line 3905
  2363. lemma OAI.SharpPlanar.IntegerRoots.root721_contains line 3906
  2364. def OAI.SharpPlanar.IntegerRoots.root722 line 3909
  2365. lemma OAI.SharpPlanar.IntegerRoots.root722_contains line 3910
  2366. def OAI.SharpPlanar.IntegerRoots.mid723 line 3913
  2367. lemma OAI.SharpPlanar.IntegerRoots.mid723_contains line 3914
  2368. def OAI.SharpPlanar.IntegerRoots.root723 line 3915
  2369. lemma OAI.SharpPlanar.IntegerRoots.root723_contains line 3916
  2370. def OAI.SharpPlanar.IntegerRoots.root724 line 3919
  2371. lemma OAI.SharpPlanar.IntegerRoots.root724_contains line 3920
  2372. def OAI.SharpPlanar.IntegerRoots.mid725 line 3923
  2373. lemma OAI.SharpPlanar.IntegerRoots.mid725_contains line 3924
  2374. def OAI.SharpPlanar.IntegerRoots.root725 line 3925
  2375. lemma OAI.SharpPlanar.IntegerRoots.root725_contains line 3926
  2376. def OAI.SharpPlanar.IntegerRoots.root726 line 3929
  2377. lemma OAI.SharpPlanar.IntegerRoots.root726_contains line 3930
  2378. def OAI.SharpPlanar.IntegerRoots.mid727 line 3933
  2379. lemma OAI.SharpPlanar.IntegerRoots.mid727_contains line 3934
  2380. def OAI.SharpPlanar.IntegerRoots.root727 line 3935
  2381. lemma OAI.SharpPlanar.IntegerRoots.root727_contains line 3936
  2382. def OAI.SharpPlanar.IntegerRoots.root728 line 3939
  2383. lemma OAI.SharpPlanar.IntegerRoots.root728_contains line 3940
  2384. def OAI.SharpPlanar.IntegerRoots.mid729 line 3943
  2385. lemma OAI.SharpPlanar.IntegerRoots.mid729_contains line 3944
  2386. def OAI.SharpPlanar.IntegerRoots.root729 line 3945
  2387. lemma OAI.SharpPlanar.IntegerRoots.root729_contains line 3946
  2388. def OAI.SharpPlanar.IntegerRoots.root730 line 3949
  2389. lemma OAI.SharpPlanar.IntegerRoots.root730_contains line 3950
  2390. def OAI.SharpPlanar.IntegerRoots.mid731 line 3953
  2391. lemma OAI.SharpPlanar.IntegerRoots.mid731_contains line 3954
  2392. def OAI.SharpPlanar.IntegerRoots.root731 line 3955
  2393. lemma OAI.SharpPlanar.IntegerRoots.root731_contains line 3956
  2394. def OAI.SharpPlanar.IntegerRoots.root732 line 3959
  2395. lemma OAI.SharpPlanar.IntegerRoots.root732_contains line 3960
  2396. def OAI.SharpPlanar.IntegerRoots.mid733 line 3963
  2397. lemma OAI.SharpPlanar.IntegerRoots.mid733_contains line 3964
  2398. def OAI.SharpPlanar.IntegerRoots.root733 line 3965
  2399. lemma OAI.SharpPlanar.IntegerRoots.root733_contains line 3966
  2400. def OAI.SharpPlanar.IntegerRoots.root734 line 3969
  2401. lemma OAI.SharpPlanar.IntegerRoots.root734_contains line 3970
  2402. def OAI.SharpPlanar.IntegerRoots.mid735 line 3973
  2403. lemma OAI.SharpPlanar.IntegerRoots.mid735_contains line 3974
  2404. def OAI.SharpPlanar.IntegerRoots.root735 line 3975
  2405. lemma OAI.SharpPlanar.IntegerRoots.root735_contains line 3976
  2406. def OAI.SharpPlanar.IntegerRoots.root736 line 3979
  2407. lemma OAI.SharpPlanar.IntegerRoots.root736_contains line 3980
  2408. def OAI.SharpPlanar.IntegerRoots.mid737 line 3983
  2409. lemma OAI.SharpPlanar.IntegerRoots.mid737_contains line 3984
  2410. def OAI.SharpPlanar.IntegerRoots.root737 line 3985
  2411. lemma OAI.SharpPlanar.IntegerRoots.root737_contains line 3986
  2412. def OAI.SharpPlanar.IntegerRoots.root738 line 3989
  2413. lemma OAI.SharpPlanar.IntegerRoots.root738_contains line 3990
  2414. def OAI.SharpPlanar.IntegerRoots.mid739 line 3993
  2415. lemma OAI.SharpPlanar.IntegerRoots.mid739_contains line 3994
  2416. def OAI.SharpPlanar.IntegerRoots.root739 line 3995
  2417. lemma OAI.SharpPlanar.IntegerRoots.root739_contains line 3996
  2418. def OAI.SharpPlanar.IntegerRoots.root740 line 3999
  2419. lemma OAI.SharpPlanar.IntegerRoots.root740_contains line 4000
  2420. def OAI.SharpPlanar.IntegerRoots.mid741 line 4003
  2421. lemma OAI.SharpPlanar.IntegerRoots.mid741_contains line 4004
  2422. def OAI.SharpPlanar.IntegerRoots.root741 line 4005
  2423. lemma OAI.SharpPlanar.IntegerRoots.root741_contains line 4006
  2424. def OAI.SharpPlanar.IntegerRoots.root742 line 4009
  2425. lemma OAI.SharpPlanar.IntegerRoots.root742_contains line 4010
  2426. def OAI.SharpPlanar.IntegerRoots.mid743 line 4013
  2427. lemma OAI.SharpPlanar.IntegerRoots.mid743_contains line 4014
  2428. def OAI.SharpPlanar.IntegerRoots.root743 line 4015
  2429. lemma OAI.SharpPlanar.IntegerRoots.root743_contains line 4016
  2430. def OAI.SharpPlanar.IntegerRoots.root744 line 4019
  2431. lemma OAI.SharpPlanar.IntegerRoots.root744_contains line 4020
  2432. def OAI.SharpPlanar.IntegerRoots.mid745 line 4023
  2433. lemma OAI.SharpPlanar.IntegerRoots.mid745_contains line 4024
  2434. def OAI.SharpPlanar.IntegerRoots.root745 line 4025
  2435. lemma OAI.SharpPlanar.IntegerRoots.root745_contains line 4026
  2436. def OAI.SharpPlanar.IntegerRoots.root746 line 4029
  2437. lemma OAI.SharpPlanar.IntegerRoots.root746_contains line 4030
  2438. def OAI.SharpPlanar.IntegerRoots.mid747 line 4033
  2439. lemma OAI.SharpPlanar.IntegerRoots.mid747_contains line 4034
  2440. def OAI.SharpPlanar.IntegerRoots.root747 line 4035
  2441. lemma OAI.SharpPlanar.IntegerRoots.root747_contains line 4036
  2442. def OAI.SharpPlanar.IntegerRoots.root748 line 4039
  2443. lemma OAI.SharpPlanar.IntegerRoots.root748_contains line 4040
  2444. def OAI.SharpPlanar.IntegerRoots.mid749 line 4043
  2445. lemma OAI.SharpPlanar.IntegerRoots.mid749_contains line 4044
  2446. def OAI.SharpPlanar.IntegerRoots.root749 line 4045
  2447. lemma OAI.SharpPlanar.IntegerRoots.root749_contains line 4046
  2448. def OAI.SharpPlanar.IntegerRoots.root750 line 4049
  2449. lemma OAI.SharpPlanar.IntegerRoots.root750_contains line 4050
  2450. def OAI.SharpPlanar.IntegerRoots.mid751 line 4053
  2451. lemma OAI.SharpPlanar.IntegerRoots.mid751_contains line 4054
  2452. def OAI.SharpPlanar.IntegerRoots.root751 line 4055
  2453. lemma OAI.SharpPlanar.IntegerRoots.root751_contains line 4056
  2454. def OAI.SharpPlanar.IntegerRoots.root752 line 4059
  2455. lemma OAI.SharpPlanar.IntegerRoots.root752_contains line 4060
  2456. def OAI.SharpPlanar.IntegerRoots.mid753 line 4063
  2457. lemma OAI.SharpPlanar.IntegerRoots.mid753_contains line 4064
  2458. def OAI.SharpPlanar.IntegerRoots.root753 line 4065
  2459. lemma OAI.SharpPlanar.IntegerRoots.root753_contains line 4066
  2460. def OAI.SharpPlanar.IntegerRoots.root754 line 4069
  2461. lemma OAI.SharpPlanar.IntegerRoots.root754_contains line 4070
  2462. def OAI.SharpPlanar.IntegerRoots.mid755 line 4073
  2463. lemma OAI.SharpPlanar.IntegerRoots.mid755_contains line 4074
  2464. def OAI.SharpPlanar.IntegerRoots.root755 line 4075
  2465. lemma OAI.SharpPlanar.IntegerRoots.root755_contains line 4076
  2466. def OAI.SharpPlanar.IntegerRoots.root756 line 4079
  2467. lemma OAI.SharpPlanar.IntegerRoots.root756_contains line 4080
  2468. def OAI.SharpPlanar.IntegerRoots.mid757 line 4083
  2469. lemma OAI.SharpPlanar.IntegerRoots.mid757_contains line 4084
  2470. def OAI.SharpPlanar.IntegerRoots.root757 line 4085
  2471. lemma OAI.SharpPlanar.IntegerRoots.root757_contains line 4086
  2472. def OAI.SharpPlanar.IntegerRoots.root758 line 4089
  2473. lemma OAI.SharpPlanar.IntegerRoots.root758_contains line 4090
  2474. def OAI.SharpPlanar.IntegerRoots.mid759 line 4093
  2475. lemma OAI.SharpPlanar.IntegerRoots.mid759_contains line 4094
  2476. def OAI.SharpPlanar.IntegerRoots.root759 line 4095
  2477. lemma OAI.SharpPlanar.IntegerRoots.root759_contains line 4096
  2478. def OAI.SharpPlanar.IntegerRoots.root760 line 4099
  2479. lemma OAI.SharpPlanar.IntegerRoots.root760_contains line 4100
  2480. def OAI.SharpPlanar.IntegerRoots.mid761 line 4103
  2481. lemma OAI.SharpPlanar.IntegerRoots.mid761_contains line 4104
  2482. def OAI.SharpPlanar.IntegerRoots.root761 line 4105
  2483. lemma OAI.SharpPlanar.IntegerRoots.root761_contains line 4106
  2484. def OAI.SharpPlanar.IntegerRoots.root762 line 4109
  2485. lemma OAI.SharpPlanar.IntegerRoots.root762_contains line 4110
  2486. def OAI.SharpPlanar.IntegerRoots.mid763 line 4113
  2487. lemma OAI.SharpPlanar.IntegerRoots.mid763_contains line 4114
  2488. def OAI.SharpPlanar.IntegerRoots.root763 line 4115
  2489. lemma OAI.SharpPlanar.IntegerRoots.root763_contains line 4116
  2490. def OAI.SharpPlanar.IntegerRoots.root764 line 4119
  2491. lemma OAI.SharpPlanar.IntegerRoots.root764_contains line 4120
  2492. def OAI.SharpPlanar.IntegerRoots.mid765 line 4123
  2493. lemma OAI.SharpPlanar.IntegerRoots.mid765_contains line 4124
  2494. def OAI.SharpPlanar.IntegerRoots.root765 line 4125
  2495. lemma OAI.SharpPlanar.IntegerRoots.root765_contains line 4126
  2496. def OAI.SharpPlanar.IntegerRoots.root766 line 4129
  2497. lemma OAI.SharpPlanar.IntegerRoots.root766_contains line 4130
  2498. def OAI.SharpPlanar.IntegerRoots.mid767 line 4133
  2499. lemma OAI.SharpPlanar.IntegerRoots.mid767_contains line 4134
  2500. def OAI.SharpPlanar.IntegerRoots.root767 line 4135
  2501. lemma OAI.SharpPlanar.IntegerRoots.root767_contains line 4136
  2502. def OAI.SharpPlanar.IntegerRoots.root768 line 4139
  2503. lemma OAI.SharpPlanar.IntegerRoots.root768_contains line 4140
  2504. def OAI.SharpPlanar.IntegerRoots.mid769 line 4143
  2505. lemma OAI.SharpPlanar.IntegerRoots.mid769_contains line 4144
  2506. def OAI.SharpPlanar.IntegerRoots.root769 line 4145
  2507. lemma OAI.SharpPlanar.IntegerRoots.root769_contains line 4146
  2508. def OAI.SharpPlanar.IntegerRoots.root770 line 4149
  2509. lemma OAI.SharpPlanar.IntegerRoots.root770_contains line 4150
  2510. def OAI.SharpPlanar.IntegerRoots.mid771 line 4153
  2511. lemma OAI.SharpPlanar.IntegerRoots.mid771_contains line 4154
  2512. def OAI.SharpPlanar.IntegerRoots.root771 line 4155
  2513. lemma OAI.SharpPlanar.IntegerRoots.root771_contains line 4156
  2514. def OAI.SharpPlanar.IntegerRoots.root772 line 4159
  2515. lemma OAI.SharpPlanar.IntegerRoots.root772_contains line 4160
  2516. def OAI.SharpPlanar.IntegerRoots.mid773 line 4163
  2517. lemma OAI.SharpPlanar.IntegerRoots.mid773_contains line 4164
  2518. def OAI.SharpPlanar.IntegerRoots.root773 line 4165
  2519. lemma OAI.SharpPlanar.IntegerRoots.root773_contains line 4166
  2520. def OAI.SharpPlanar.IntegerRoots.root774 line 4169
  2521. lemma OAI.SharpPlanar.IntegerRoots.root774_contains line 4170
  2522. def OAI.SharpPlanar.IntegerRoots.mid775 line 4173
  2523. lemma OAI.SharpPlanar.IntegerRoots.mid775_contains line 4174
  2524. def OAI.SharpPlanar.IntegerRoots.root775 line 4175
  2525. lemma OAI.SharpPlanar.IntegerRoots.root775_contains line 4176
  2526. def OAI.SharpPlanar.IntegerRoots.root776 line 4179
  2527. lemma OAI.SharpPlanar.IntegerRoots.root776_contains line 4180
  2528. def OAI.SharpPlanar.IntegerRoots.mid777 line 4183
  2529. lemma OAI.SharpPlanar.IntegerRoots.mid777_contains line 4184
  2530. def OAI.SharpPlanar.IntegerRoots.root777 line 4185
  2531. lemma OAI.SharpPlanar.IntegerRoots.root777_contains line 4186
  2532. def OAI.SharpPlanar.IntegerRoots.root778 line 4189
  2533. lemma OAI.SharpPlanar.IntegerRoots.root778_contains line 4190
  2534. def OAI.SharpPlanar.IntegerRoots.mid779 line 4193
  2535. lemma OAI.SharpPlanar.IntegerRoots.mid779_contains line 4194
  2536. def OAI.SharpPlanar.IntegerRoots.root779 line 4195
  2537. lemma OAI.SharpPlanar.IntegerRoots.root779_contains line 4196
  2538. def OAI.SharpPlanar.IntegerRoots.root780 line 4199
  2539. lemma OAI.SharpPlanar.IntegerRoots.root780_contains line 4200
  2540. def OAI.SharpPlanar.IntegerRoots.mid781 line 4203
  2541. lemma OAI.SharpPlanar.IntegerRoots.mid781_contains line 4204
  2542. def OAI.SharpPlanar.IntegerRoots.root781 line 4205
  2543. lemma OAI.SharpPlanar.IntegerRoots.root781_contains line 4206
  2544. def OAI.SharpPlanar.IntegerRoots.root782 line 4209
  2545. lemma OAI.SharpPlanar.IntegerRoots.root782_contains line 4210
  2546. def OAI.SharpPlanar.IntegerRoots.mid783 line 4213
  2547. lemma OAI.SharpPlanar.IntegerRoots.mid783_contains line 4214
  2548. def OAI.SharpPlanar.IntegerRoots.root783 line 4215
  2549. lemma OAI.SharpPlanar.IntegerRoots.root783_contains line 4216
  2550. def OAI.SharpPlanar.IntegerRoots.root784 line 4219
  2551. lemma OAI.SharpPlanar.IntegerRoots.root784_contains line 4220
  2552. def OAI.SharpPlanar.IntegerRoots.mid785 line 4223
  2553. lemma OAI.SharpPlanar.IntegerRoots.mid785_contains line 4224
  2554. def OAI.SharpPlanar.IntegerRoots.root785 line 4225
  2555. lemma OAI.SharpPlanar.IntegerRoots.root785_contains line 4226
  2556. def OAI.SharpPlanar.IntegerRoots.root786 line 4229
  2557. lemma OAI.SharpPlanar.IntegerRoots.root786_contains line 4230
  2558. def OAI.SharpPlanar.IntegerRoots.mid787 line 4233
  2559. lemma OAI.SharpPlanar.IntegerRoots.mid787_contains line 4234
  2560. def OAI.SharpPlanar.IntegerRoots.root787 line 4235
  2561. lemma OAI.SharpPlanar.IntegerRoots.root787_contains line 4236
  2562. def OAI.SharpPlanar.IntegerRoots.root788 line 4239
  2563. lemma OAI.SharpPlanar.IntegerRoots.root788_contains line 4240
  2564. def OAI.SharpPlanar.IntegerRoots.mid789 line 4243
  2565. lemma OAI.SharpPlanar.IntegerRoots.mid789_contains line 4244
  2566. def OAI.SharpPlanar.IntegerRoots.root789 line 4245
  2567. lemma OAI.SharpPlanar.IntegerRoots.root789_contains line 4246
  2568. def OAI.SharpPlanar.IntegerRoots.root790 line 4249
  2569. lemma OAI.SharpPlanar.IntegerRoots.root790_contains line 4250
  2570. def OAI.SharpPlanar.IntegerRoots.mid791 line 4253
  2571. lemma OAI.SharpPlanar.IntegerRoots.mid791_contains line 4254
  2572. def OAI.SharpPlanar.IntegerRoots.root791 line 4255
  2573. lemma OAI.SharpPlanar.IntegerRoots.root791_contains line 4256
  2574. def OAI.SharpPlanar.IntegerRoots.root792 line 4259
  2575. lemma OAI.SharpPlanar.IntegerRoots.root792_contains line 4260
  2576. def OAI.SharpPlanar.IntegerRoots.mid793 line 4263
  2577. lemma OAI.SharpPlanar.IntegerRoots.mid793_contains line 4264
  2578. def OAI.SharpPlanar.IntegerRoots.root793 line 4265
  2579. lemma OAI.SharpPlanar.IntegerRoots.root793_contains line 4266
  2580. def OAI.SharpPlanar.IntegerRoots.root794 line 4269
  2581. lemma OAI.SharpPlanar.IntegerRoots.root794_contains line 4270
  2582. def OAI.SharpPlanar.IntegerRoots.mid795 line 4273
  2583. lemma OAI.SharpPlanar.IntegerRoots.mid795_contains line 4274
  2584. def OAI.SharpPlanar.IntegerRoots.root795 line 4275
  2585. lemma OAI.SharpPlanar.IntegerRoots.root795_contains line 4276
  2586. def OAI.SharpPlanar.IntegerRoots.root796 line 4279
  2587. lemma OAI.SharpPlanar.IntegerRoots.root796_contains line 4280
  2588. def OAI.SharpPlanar.IntegerRoots.mid797 line 4283
  2589. lemma OAI.SharpPlanar.IntegerRoots.mid797_contains line 4284
  2590. def OAI.SharpPlanar.IntegerRoots.root797 line 4285
  2591. lemma OAI.SharpPlanar.IntegerRoots.root797_contains line 4286
  2592. def OAI.SharpPlanar.IntegerRoots.root798 line 4289
  2593. lemma OAI.SharpPlanar.IntegerRoots.root798_contains line 4290
  2594. def OAI.SharpPlanar.IntegerRoots.mid799 line 4293
  2595. lemma OAI.SharpPlanar.IntegerRoots.mid799_contains line 4294
  2596. def OAI.SharpPlanar.IntegerRoots.root799 line 4295
  2597. lemma OAI.SharpPlanar.IntegerRoots.root799_contains line 4296
  2598. def OAI.SharpPlanar.IntegerRoots.root800 line 4299
  2599. lemma OAI.SharpPlanar.IntegerRoots.root800_contains line 4300
  2600. def OAI.SharpPlanar.IntegerRoots.mid801 line 4303
  2601. lemma OAI.SharpPlanar.IntegerRoots.mid801_contains line 4304
  2602. def OAI.SharpPlanar.IntegerRoots.root801 line 4305
  2603. lemma OAI.SharpPlanar.IntegerRoots.root801_contains line 4306
  2604. def OAI.SharpPlanar.IntegerRoots.root802 line 4309
  2605. lemma OAI.SharpPlanar.IntegerRoots.root802_contains line 4310
  2606. def OAI.SharpPlanar.IntegerRoots.mid803 line 4313
  2607. lemma OAI.SharpPlanar.IntegerRoots.mid803_contains line 4314
  2608. def OAI.SharpPlanar.IntegerRoots.root803 line 4315
  2609. lemma OAI.SharpPlanar.IntegerRoots.root803_contains line 4316
  2610. def OAI.SharpPlanar.IntegerRoots.root804 line 4319
  2611. lemma OAI.SharpPlanar.IntegerRoots.root804_contains line 4320
  2612. def OAI.SharpPlanar.IntegerRoots.mid805 line 4323
  2613. lemma OAI.SharpPlanar.IntegerRoots.mid805_contains line 4324
  2614. def OAI.SharpPlanar.IntegerRoots.root805 line 4325
  2615. lemma OAI.SharpPlanar.IntegerRoots.root805_contains line 4326
  2616. def OAI.SharpPlanar.IntegerRoots.root806 line 4329
  2617. lemma OAI.SharpPlanar.IntegerRoots.root806_contains line 4330
  2618. def OAI.SharpPlanar.IntegerRoots.mid807 line 4333
  2619. lemma OAI.SharpPlanar.IntegerRoots.mid807_contains line 4334
  2620. def OAI.SharpPlanar.IntegerRoots.root807 line 4335
  2621. lemma OAI.SharpPlanar.IntegerRoots.root807_contains line 4336
  2622. def OAI.SharpPlanar.IntegerRoots.root808 line 4339
  2623. lemma OAI.SharpPlanar.IntegerRoots.root808_contains line 4340
  2624. def OAI.SharpPlanar.IntegerRoots.mid809 line 4343
  2625. lemma OAI.SharpPlanar.IntegerRoots.mid809_contains line 4344
  2626. def OAI.SharpPlanar.IntegerRoots.root809 line 4345
  2627. lemma OAI.SharpPlanar.IntegerRoots.root809_contains line 4346
  2628. def OAI.SharpPlanar.IntegerRoots.root810 line 4349
  2629. lemma OAI.SharpPlanar.IntegerRoots.root810_contains line 4350
  2630. def OAI.SharpPlanar.IntegerRoots.mid811 line 4353
  2631. lemma OAI.SharpPlanar.IntegerRoots.mid811_contains line 4354
  2632. def OAI.SharpPlanar.IntegerRoots.root811 line 4355
  2633. lemma OAI.SharpPlanar.IntegerRoots.root811_contains line 4356
  2634. def OAI.SharpPlanar.IntegerRoots.root812 line 4359
  2635. lemma OAI.SharpPlanar.IntegerRoots.root812_contains line 4360
  2636. def OAI.SharpPlanar.IntegerRoots.mid813 line 4363
  2637. lemma OAI.SharpPlanar.IntegerRoots.mid813_contains line 4364
  2638. def OAI.SharpPlanar.IntegerRoots.root813 line 4365
  2639. lemma OAI.SharpPlanar.IntegerRoots.root813_contains line 4366
  2640. def OAI.SharpPlanar.IntegerRoots.root814 line 4369
  2641. lemma OAI.SharpPlanar.IntegerRoots.root814_contains line 4370
  2642. def OAI.SharpPlanar.IntegerRoots.mid815 line 4373
  2643. lemma OAI.SharpPlanar.IntegerRoots.mid815_contains line 4374
  2644. def OAI.SharpPlanar.IntegerRoots.root815 line 4375
  2645. lemma OAI.SharpPlanar.IntegerRoots.root815_contains line 4376
  2646. def OAI.SharpPlanar.IntegerRoots.root816 line 4379
  2647. lemma OAI.SharpPlanar.IntegerRoots.root816_contains line 4380
  2648. def OAI.SharpPlanar.IntegerRoots.mid817 line 4383
  2649. lemma OAI.SharpPlanar.IntegerRoots.mid817_contains line 4384
  2650. def OAI.SharpPlanar.IntegerRoots.root817 line 4385
  2651. lemma OAI.SharpPlanar.IntegerRoots.root817_contains line 4386
  2652. def OAI.SharpPlanar.IntegerRoots.root818 line 4389
  2653. lemma OAI.SharpPlanar.IntegerRoots.root818_contains line 4390
  2654. def OAI.SharpPlanar.IntegerRoots.mid819 line 4393
  2655. lemma OAI.SharpPlanar.IntegerRoots.mid819_contains line 4394
  2656. def OAI.SharpPlanar.IntegerRoots.root819 line 4395
  2657. lemma OAI.SharpPlanar.IntegerRoots.root819_contains line 4396
  2658. def OAI.SharpPlanar.IntegerRoots.root820 line 4399
  2659. lemma OAI.SharpPlanar.IntegerRoots.root820_contains line 4400
  2660. def OAI.SharpPlanar.IntegerRoots.mid821 line 4403
  2661. lemma OAI.SharpPlanar.IntegerRoots.mid821_contains line 4404
  2662. def OAI.SharpPlanar.IntegerRoots.root821 line 4405
  2663. lemma OAI.SharpPlanar.IntegerRoots.root821_contains line 4406
  2664. def OAI.SharpPlanar.IntegerRoots.root822 line 4409
  2665. lemma OAI.SharpPlanar.IntegerRoots.root822_contains line 4410
  2666. def OAI.SharpPlanar.IntegerRoots.mid823 line 4413
  2667. lemma OAI.SharpPlanar.IntegerRoots.mid823_contains line 4414
  2668. def OAI.SharpPlanar.IntegerRoots.root823 line 4415
  2669. lemma OAI.SharpPlanar.IntegerRoots.root823_contains line 4416
  2670. def OAI.SharpPlanar.IntegerRoots.root824 line 4419
  2671. lemma OAI.SharpPlanar.IntegerRoots.root824_contains line 4420
  2672. def OAI.SharpPlanar.IntegerRoots.mid825 line 4423
  2673. lemma OAI.SharpPlanar.IntegerRoots.mid825_contains line 4424
  2674. def OAI.SharpPlanar.IntegerRoots.root825 line 4425
  2675. lemma OAI.SharpPlanar.IntegerRoots.root825_contains line 4426
  2676. def OAI.SharpPlanar.IntegerRoots.root826 line 4429
  2677. lemma OAI.SharpPlanar.IntegerRoots.root826_contains line 4430
  2678. def OAI.SharpPlanar.IntegerRoots.mid827 line 4433
  2679. lemma OAI.SharpPlanar.IntegerRoots.mid827_contains line 4434
  2680. def OAI.SharpPlanar.IntegerRoots.root827 line 4435
  2681. lemma OAI.SharpPlanar.IntegerRoots.root827_contains line 4436
  2682. def OAI.SharpPlanar.IntegerRoots.root828 line 4439
  2683. lemma OAI.SharpPlanar.IntegerRoots.root828_contains line 4440
  2684. def OAI.SharpPlanar.IntegerRoots.mid829 line 4443
  2685. lemma OAI.SharpPlanar.IntegerRoots.mid829_contains line 4444
  2686. def OAI.SharpPlanar.IntegerRoots.root829 line 4445
  2687. lemma OAI.SharpPlanar.IntegerRoots.root829_contains line 4446
  2688. def OAI.SharpPlanar.IntegerRoots.root830 line 4449
  2689. lemma OAI.SharpPlanar.IntegerRoots.root830_contains line 4450
  2690. def OAI.SharpPlanar.IntegerRoots.mid831 line 4453
  2691. lemma OAI.SharpPlanar.IntegerRoots.mid831_contains line 4454
  2692. def OAI.SharpPlanar.IntegerRoots.root831 line 4455
  2693. lemma OAI.SharpPlanar.IntegerRoots.root831_contains line 4456
  2694. def OAI.SharpPlanar.IntegerRoots.root832 line 4459
  2695. lemma OAI.SharpPlanar.IntegerRoots.root832_contains line 4460
  2696. def OAI.SharpPlanar.IntegerRoots.mid833 line 4463
  2697. lemma OAI.SharpPlanar.IntegerRoots.mid833_contains line 4464
  2698. def OAI.SharpPlanar.IntegerRoots.root833 line 4465
  2699. lemma OAI.SharpPlanar.IntegerRoots.root833_contains line 4466
  2700. def OAI.SharpPlanar.IntegerRoots.root834 line 4469
  2701. lemma OAI.SharpPlanar.IntegerRoots.root834_contains line 4470
  2702. def OAI.SharpPlanar.IntegerRoots.mid835 line 4473
  2703. lemma OAI.SharpPlanar.IntegerRoots.mid835_contains line 4474
  2704. def OAI.SharpPlanar.IntegerRoots.root835 line 4475
  2705. lemma OAI.SharpPlanar.IntegerRoots.root835_contains line 4476
  2706. def OAI.SharpPlanar.IntegerRoots.root836 line 4479
  2707. lemma OAI.SharpPlanar.IntegerRoots.root836_contains line 4480
  2708. def OAI.SharpPlanar.IntegerRoots.mid837 line 4483
  2709. lemma OAI.SharpPlanar.IntegerRoots.mid837_contains line 4484
  2710. def OAI.SharpPlanar.IntegerRoots.root837 line 4485
  2711. lemma OAI.SharpPlanar.IntegerRoots.root837_contains line 4486
  2712. def OAI.SharpPlanar.IntegerRoots.root838 line 4489
  2713. lemma OAI.SharpPlanar.IntegerRoots.root838_contains line 4490
  2714. def OAI.SharpPlanar.IntegerRoots.mid839 line 4493
  2715. lemma OAI.SharpPlanar.IntegerRoots.mid839_contains line 4494
  2716. def OAI.SharpPlanar.IntegerRoots.root839 line 4495
  2717. lemma OAI.SharpPlanar.IntegerRoots.root839_contains line 4496
  2718. def OAI.SharpPlanar.IntegerRoots.root840 line 4499
  2719. lemma OAI.SharpPlanar.IntegerRoots.root840_contains line 4500
  2720. def OAI.SharpPlanar.IntegerRoots.mid841 line 4503
  2721. lemma OAI.SharpPlanar.IntegerRoots.mid841_contains line 4504
  2722. def OAI.SharpPlanar.IntegerRoots.root841 line 4505
  2723. lemma OAI.SharpPlanar.IntegerRoots.root841_contains line 4506
  2724. def OAI.SharpPlanar.IntegerRoots.root842 line 4509
  2725. lemma OAI.SharpPlanar.IntegerRoots.root842_contains line 4510
  2726. def OAI.SharpPlanar.IntegerRoots.mid843 line 4513
  2727. lemma OAI.SharpPlanar.IntegerRoots.mid843_contains line 4514
  2728. def OAI.SharpPlanar.IntegerRoots.root843 line 4515
  2729. lemma OAI.SharpPlanar.IntegerRoots.root843_contains line 4516
  2730. def OAI.SharpPlanar.IntegerRoots.root844 line 4519
  2731. lemma OAI.SharpPlanar.IntegerRoots.root844_contains line 4520
  2732. def OAI.SharpPlanar.IntegerRoots.mid845 line 4523
  2733. lemma OAI.SharpPlanar.IntegerRoots.mid845_contains line 4524
  2734. def OAI.SharpPlanar.IntegerRoots.root845 line 4525
  2735. lemma OAI.SharpPlanar.IntegerRoots.root845_contains line 4526
  2736. def OAI.SharpPlanar.IntegerRoots.root846 line 4529
  2737. lemma OAI.SharpPlanar.IntegerRoots.root846_contains line 4530
  2738. def OAI.SharpPlanar.IntegerRoots.mid847 line 4533
  2739. lemma OAI.SharpPlanar.IntegerRoots.mid847_contains line 4534
  2740. def OAI.SharpPlanar.IntegerRoots.root847 line 4535
  2741. lemma OAI.SharpPlanar.IntegerRoots.root847_contains line 4536
  2742. def OAI.SharpPlanar.IntegerRoots.root848 line 4539
  2743. lemma OAI.SharpPlanar.IntegerRoots.root848_contains line 4540
  2744. def OAI.SharpPlanar.IntegerRoots.mid849 line 4543
  2745. lemma OAI.SharpPlanar.IntegerRoots.mid849_contains line 4544
  2746. def OAI.SharpPlanar.IntegerRoots.root849 line 4545
  2747. lemma OAI.SharpPlanar.IntegerRoots.root849_contains line 4546
  2748. def OAI.SharpPlanar.IntegerRoots.root850 line 4549
  2749. lemma OAI.SharpPlanar.IntegerRoots.root850_contains line 4550
  2750. def OAI.SharpPlanar.IntegerRoots.mid851 line 4553
  2751. lemma OAI.SharpPlanar.IntegerRoots.mid851_contains line 4554
  2752. def OAI.SharpPlanar.IntegerRoots.root851 line 4555
  2753. lemma OAI.SharpPlanar.IntegerRoots.root851_contains line 4556
  2754. def OAI.SharpPlanar.IntegerRoots.root852 line 4559
  2755. lemma OAI.SharpPlanar.IntegerRoots.root852_contains line 4560
  2756. def OAI.SharpPlanar.IntegerRoots.mid853 line 4563
  2757. lemma OAI.SharpPlanar.IntegerRoots.mid853_contains line 4564
  2758. def OAI.SharpPlanar.IntegerRoots.root853 line 4565
  2759. lemma OAI.SharpPlanar.IntegerRoots.root853_contains line 4566
  2760. def OAI.SharpPlanar.IntegerRoots.root854 line 4569
  2761. lemma OAI.SharpPlanar.IntegerRoots.root854_contains line 4570
  2762. def OAI.SharpPlanar.IntegerRoots.mid855 line 4573
  2763. lemma OAI.SharpPlanar.IntegerRoots.mid855_contains line 4574
  2764. def OAI.SharpPlanar.IntegerRoots.root855 line 4575
  2765. lemma OAI.SharpPlanar.IntegerRoots.root855_contains line 4576
  2766. def OAI.SharpPlanar.IntegerRoots.root856 line 4579
  2767. lemma OAI.SharpPlanar.IntegerRoots.root856_contains line 4580
  2768. def OAI.SharpPlanar.IntegerRoots.mid857 line 4583
  2769. lemma OAI.SharpPlanar.IntegerRoots.mid857_contains line 4584
  2770. def OAI.SharpPlanar.IntegerRoots.root857 line 4585
  2771. lemma OAI.SharpPlanar.IntegerRoots.root857_contains line 4586
  2772. def OAI.SharpPlanar.IntegerRoots.root858 line 4589
  2773. lemma OAI.SharpPlanar.IntegerRoots.root858_contains line 4590
  2774. def OAI.SharpPlanar.IntegerRoots.mid859 line 4593
  2775. lemma OAI.SharpPlanar.IntegerRoots.mid859_contains line 4594
  2776. def OAI.SharpPlanar.IntegerRoots.root859 line 4595
  2777. lemma OAI.SharpPlanar.IntegerRoots.root859_contains line 4596
  2778. def OAI.SharpPlanar.IntegerRoots.root860 line 4599
  2779. lemma OAI.SharpPlanar.IntegerRoots.root860_contains line 4600
  2780. def OAI.SharpPlanar.IntegerRoots.mid861 line 4603
  2781. lemma OAI.SharpPlanar.IntegerRoots.mid861_contains line 4604
  2782. def OAI.SharpPlanar.IntegerRoots.root861 line 4605
  2783. lemma OAI.SharpPlanar.IntegerRoots.root861_contains line 4606
  2784. def OAI.SharpPlanar.IntegerRoots.root862 line 4609
  2785. lemma OAI.SharpPlanar.IntegerRoots.root862_contains line 4610
  2786. def OAI.SharpPlanar.IntegerRoots.mid863 line 4613
  2787. lemma OAI.SharpPlanar.IntegerRoots.mid863_contains line 4614
  2788. def OAI.SharpPlanar.IntegerRoots.root863 line 4615
  2789. lemma OAI.SharpPlanar.IntegerRoots.root863_contains line 4616
  2790. def OAI.SharpPlanar.IntegerRoots.root864 line 4619
  2791. lemma OAI.SharpPlanar.IntegerRoots.root864_contains line 4620
  2792. def OAI.SharpPlanar.IntegerRoots.mid865 line 4623
  2793. lemma OAI.SharpPlanar.IntegerRoots.mid865_contains line 4624
  2794. def OAI.SharpPlanar.IntegerRoots.root865 line 4625
  2795. lemma OAI.SharpPlanar.IntegerRoots.root865_contains line 4626
  2796. def OAI.SharpPlanar.IntegerRoots.root866 line 4629
  2797. lemma OAI.SharpPlanar.IntegerRoots.root866_contains line 4630
  2798. def OAI.SharpPlanar.IntegerRoots.mid867 line 4633
  2799. lemma OAI.SharpPlanar.IntegerRoots.mid867_contains line 4634
  2800. def OAI.SharpPlanar.IntegerRoots.root867 line 4635
  2801. lemma OAI.SharpPlanar.IntegerRoots.root867_contains line 4636
  2802. def OAI.SharpPlanar.IntegerRoots.root868 line 4639
  2803. lemma OAI.SharpPlanar.IntegerRoots.root868_contains line 4640
  2804. def OAI.SharpPlanar.IntegerRoots.mid869 line 4643
  2805. lemma OAI.SharpPlanar.IntegerRoots.mid869_contains line 4644
  2806. def OAI.SharpPlanar.IntegerRoots.root869 line 4645
  2807. lemma OAI.SharpPlanar.IntegerRoots.root869_contains line 4646
  2808. def OAI.SharpPlanar.IntegerRoots.root870 line 4649
  2809. lemma OAI.SharpPlanar.IntegerRoots.root870_contains line 4650
  2810. def OAI.SharpPlanar.IntegerRoots.mid871 line 4653
  2811. lemma OAI.SharpPlanar.IntegerRoots.mid871_contains line 4654
  2812. def OAI.SharpPlanar.IntegerRoots.root871 line 4655
  2813. lemma OAI.SharpPlanar.IntegerRoots.root871_contains line 4656
  2814. def OAI.SharpPlanar.IntegerRoots.root872 line 4659
  2815. lemma OAI.SharpPlanar.IntegerRoots.root872_contains line 4660
  2816. def OAI.SharpPlanar.IntegerRoots.mid873 line 4663
  2817. lemma OAI.SharpPlanar.IntegerRoots.mid873_contains line 4664
  2818. def OAI.SharpPlanar.IntegerRoots.root873 line 4665
  2819. lemma OAI.SharpPlanar.IntegerRoots.root873_contains line 4666
  2820. def OAI.SharpPlanar.IntegerRoots.root874 line 4669
  2821. lemma OAI.SharpPlanar.IntegerRoots.root874_contains line 4670
  2822. def OAI.SharpPlanar.IntegerRoots.mid875 line 4673
  2823. lemma OAI.SharpPlanar.IntegerRoots.mid875_contains line 4674
  2824. def OAI.SharpPlanar.IntegerRoots.root875 line 4675
  2825. lemma OAI.SharpPlanar.IntegerRoots.root875_contains line 4676
  2826. def OAI.SharpPlanar.IntegerRoots.root876 line 4679
  2827. lemma OAI.SharpPlanar.IntegerRoots.root876_contains line 4680
  2828. def OAI.SharpPlanar.IntegerRoots.mid877 line 4683
  2829. lemma OAI.SharpPlanar.IntegerRoots.mid877_contains line 4684
  2830. def OAI.SharpPlanar.IntegerRoots.root877 line 4685
  2831. lemma OAI.SharpPlanar.IntegerRoots.root877_contains line 4686
  2832. def OAI.SharpPlanar.IntegerRoots.root878 line 4689
  2833. lemma OAI.SharpPlanar.IntegerRoots.root878_contains line 4690
  2834. def OAI.SharpPlanar.IntegerRoots.mid879 line 4693
  2835. lemma OAI.SharpPlanar.IntegerRoots.mid879_contains line 4694
  2836. def OAI.SharpPlanar.IntegerRoots.root879 line 4695
  2837. lemma OAI.SharpPlanar.IntegerRoots.root879_contains line 4696
  2838. def OAI.SharpPlanar.IntegerRoots.root880 line 4699
  2839. lemma OAI.SharpPlanar.IntegerRoots.root880_contains line 4700
  2840. def OAI.SharpPlanar.IntegerRoots.mid881 line 4703
  2841. lemma OAI.SharpPlanar.IntegerRoots.mid881_contains line 4704
  2842. def OAI.SharpPlanar.IntegerRoots.root881 line 4705
  2843. lemma OAI.SharpPlanar.IntegerRoots.root881_contains line 4706
  2844. def OAI.SharpPlanar.IntegerRoots.root882 line 4709
  2845. lemma OAI.SharpPlanar.IntegerRoots.root882_contains line 4710
  2846. def OAI.SharpPlanar.IntegerRoots.mid883 line 4713
  2847. lemma OAI.SharpPlanar.IntegerRoots.mid883_contains line 4714
  2848. def OAI.SharpPlanar.IntegerRoots.root883 line 4715
  2849. lemma OAI.SharpPlanar.IntegerRoots.root883_contains line 4716
  2850. def OAI.SharpPlanar.IntegerRoots.root884 line 4719
  2851. lemma OAI.SharpPlanar.IntegerRoots.root884_contains line 4720
  2852. def OAI.SharpPlanar.IntegerRoots.mid885 line 4723
  2853. lemma OAI.SharpPlanar.IntegerRoots.mid885_contains line 4724
  2854. def OAI.SharpPlanar.IntegerRoots.root885 line 4725
  2855. lemma OAI.SharpPlanar.IntegerRoots.root885_contains line 4726
  2856. def OAI.SharpPlanar.IntegerRoots.root886 line 4729
  2857. lemma OAI.SharpPlanar.IntegerRoots.root886_contains line 4730
  2858. def OAI.SharpPlanar.IntegerRoots.mid887 line 4733
  2859. lemma OAI.SharpPlanar.IntegerRoots.mid887_contains line 4734
  2860. def OAI.SharpPlanar.IntegerRoots.root887 line 4735
  2861. lemma OAI.SharpPlanar.IntegerRoots.root887_contains line 4736
  2862. def OAI.SharpPlanar.IntegerRoots.root888 line 4739
  2863. lemma OAI.SharpPlanar.IntegerRoots.root888_contains line 4740
  2864. def OAI.SharpPlanar.IntegerRoots.mid889 line 4743
  2865. lemma OAI.SharpPlanar.IntegerRoots.mid889_contains line 4744
  2866. def OAI.SharpPlanar.IntegerRoots.root889 line 4745
  2867. lemma OAI.SharpPlanar.IntegerRoots.root889_contains line 4746
  2868. def OAI.SharpPlanar.IntegerRoots.root890 line 4749
  2869. lemma OAI.SharpPlanar.IntegerRoots.root890_contains line 4750
  2870. def OAI.SharpPlanar.IntegerRoots.mid891 line 4753
  2871. lemma OAI.SharpPlanar.IntegerRoots.mid891_contains line 4754
  2872. def OAI.SharpPlanar.IntegerRoots.root891 line 4755
  2873. lemma OAI.SharpPlanar.IntegerRoots.root891_contains line 4756
  2874. def OAI.SharpPlanar.IntegerRoots.root892 line 4759
  2875. lemma OAI.SharpPlanar.IntegerRoots.root892_contains line 4760
  2876. def OAI.SharpPlanar.IntegerRoots.mid893 line 4763
  2877. lemma OAI.SharpPlanar.IntegerRoots.mid893_contains line 4764
  2878. def OAI.SharpPlanar.IntegerRoots.root893 line 4765
  2879. lemma OAI.SharpPlanar.IntegerRoots.root893_contains line 4766
  2880. def OAI.SharpPlanar.IntegerRoots.root894 line 4769
  2881. lemma OAI.SharpPlanar.IntegerRoots.root894_contains line 4770
  2882. def OAI.SharpPlanar.IntegerRoots.mid895 line 4773
  2883. lemma OAI.SharpPlanar.IntegerRoots.mid895_contains line 4774
  2884. def OAI.SharpPlanar.IntegerRoots.root895 line 4775
  2885. lemma OAI.SharpPlanar.IntegerRoots.root895_contains line 4776
  2886. def OAI.SharpPlanar.IntegerRoots.root896 line 4779
  2887. lemma OAI.SharpPlanar.IntegerRoots.root896_contains line 4780
  2888. def OAI.SharpPlanar.IntegerRoots.mid897 line 4783
  2889. lemma OAI.SharpPlanar.IntegerRoots.mid897_contains line 4784
  2890. def OAI.SharpPlanar.IntegerRoots.root897 line 4785
  2891. lemma OAI.SharpPlanar.IntegerRoots.root897_contains line 4786
  2892. def OAI.SharpPlanar.IntegerRoots.root898 line 4789
  2893. lemma OAI.SharpPlanar.IntegerRoots.root898_contains line 4790
  2894. def OAI.SharpPlanar.IntegerRoots.mid899 line 4793
  2895. lemma OAI.SharpPlanar.IntegerRoots.mid899_contains line 4794
  2896. def OAI.SharpPlanar.IntegerRoots.root899 line 4795
  2897. lemma OAI.SharpPlanar.IntegerRoots.root899_contains line 4796
  2898. def OAI.SharpPlanar.IntegerRoots.root900 line 4799
  2899. lemma OAI.SharpPlanar.IntegerRoots.root900_contains line 4800
  2900. def OAI.SharpPlanar.IntegerRoots.mid901 line 4803
  2901. lemma OAI.SharpPlanar.IntegerRoots.mid901_contains line 4804
  2902. def OAI.SharpPlanar.IntegerRoots.root901 line 4805
  2903. lemma OAI.SharpPlanar.IntegerRoots.root901_contains line 4806
  2904. def OAI.SharpPlanar.IntegerRoots.root902 line 4809
  2905. lemma OAI.SharpPlanar.IntegerRoots.root902_contains line 4810
  2906. def OAI.SharpPlanar.IntegerRoots.mid903 line 4813
  2907. lemma OAI.SharpPlanar.IntegerRoots.mid903_contains line 4814
  2908. def OAI.SharpPlanar.IntegerRoots.root903 line 4815
  2909. lemma OAI.SharpPlanar.IntegerRoots.root903_contains line 4816
  2910. def OAI.SharpPlanar.IntegerRoots.root904 line 4819
  2911. lemma OAI.SharpPlanar.IntegerRoots.root904_contains line 4820
  2912. def OAI.SharpPlanar.IntegerRoots.mid905 line 4823
  2913. lemma OAI.SharpPlanar.IntegerRoots.mid905_contains line 4824
  2914. def OAI.SharpPlanar.IntegerRoots.root905 line 4825
  2915. lemma OAI.SharpPlanar.IntegerRoots.root905_contains line 4826
  2916. def OAI.SharpPlanar.IntegerRoots.root906 line 4829
  2917. lemma OAI.SharpPlanar.IntegerRoots.root906_contains line 4830
  2918. def OAI.SharpPlanar.IntegerRoots.mid907 line 4833
  2919. lemma OAI.SharpPlanar.IntegerRoots.mid907_contains line 4834
  2920. def OAI.SharpPlanar.IntegerRoots.root907 line 4835
  2921. lemma OAI.SharpPlanar.IntegerRoots.root907_contains line 4836
  2922. def OAI.SharpPlanar.IntegerRoots.root908 line 4839
  2923. lemma OAI.SharpPlanar.IntegerRoots.root908_contains line 4840
  2924. def OAI.SharpPlanar.IntegerRoots.mid909 line 4843
  2925. lemma OAI.SharpPlanar.IntegerRoots.mid909_contains line 4844
  2926. def OAI.SharpPlanar.IntegerRoots.root909 line 4845
  2927. lemma OAI.SharpPlanar.IntegerRoots.root909_contains line 4846
  2928. def OAI.SharpPlanar.IntegerRoots.root910 line 4849
  2929. lemma OAI.SharpPlanar.IntegerRoots.root910_contains line 4850
  2930. def OAI.SharpPlanar.IntegerRoots.mid911 line 4853
  2931. lemma OAI.SharpPlanar.IntegerRoots.mid911_contains line 4854
  2932. def OAI.SharpPlanar.IntegerRoots.root911 line 4855
  2933. lemma OAI.SharpPlanar.IntegerRoots.root911_contains line 4856
  2934. def OAI.SharpPlanar.IntegerRoots.root912 line 4859
  2935. lemma OAI.SharpPlanar.IntegerRoots.root912_contains line 4860
  2936. def OAI.SharpPlanar.IntegerRoots.mid913 line 4863
  2937. lemma OAI.SharpPlanar.IntegerRoots.mid913_contains line 4864
  2938. def OAI.SharpPlanar.IntegerRoots.root913 line 4865
  2939. lemma OAI.SharpPlanar.IntegerRoots.root913_contains line 4866
  2940. def OAI.SharpPlanar.IntegerRoots.root914 line 4869
  2941. lemma OAI.SharpPlanar.IntegerRoots.root914_contains line 4870
  2942. def OAI.SharpPlanar.IntegerRoots.mid915 line 4873
  2943. lemma OAI.SharpPlanar.IntegerRoots.mid915_contains line 4874
  2944. def OAI.SharpPlanar.IntegerRoots.root915 line 4875
  2945. lemma OAI.SharpPlanar.IntegerRoots.root915_contains line 4876
  2946. def OAI.SharpPlanar.IntegerRoots.root916 line 4879
  2947. lemma OAI.SharpPlanar.IntegerRoots.root916_contains line 4880
  2948. def OAI.SharpPlanar.IntegerRoots.mid917 line 4883
  2949. lemma OAI.SharpPlanar.IntegerRoots.mid917_contains line 4884
  2950. def OAI.SharpPlanar.IntegerRoots.root917 line 4885
  2951. lemma OAI.SharpPlanar.IntegerRoots.root917_contains line 4886
  2952. def OAI.SharpPlanar.IntegerRoots.root918 line 4889
  2953. lemma OAI.SharpPlanar.IntegerRoots.root918_contains line 4890
  2954. def OAI.SharpPlanar.IntegerRoots.mid919 line 4893
  2955. lemma OAI.SharpPlanar.IntegerRoots.mid919_contains line 4894
  2956. def OAI.SharpPlanar.IntegerRoots.root919 line 4895
  2957. lemma OAI.SharpPlanar.IntegerRoots.root919_contains line 4896
  2958. def OAI.SharpPlanar.IntegerRoots.root920 line 4899
  2959. lemma OAI.SharpPlanar.IntegerRoots.root920_contains line 4900
  2960. def OAI.SharpPlanar.IntegerRoots.mid921 line 4903
  2961. lemma OAI.SharpPlanar.IntegerRoots.mid921_contains line 4904
  2962. def OAI.SharpPlanar.IntegerRoots.root921 line 4905
  2963. lemma OAI.SharpPlanar.IntegerRoots.root921_contains line 4906
  2964. def OAI.SharpPlanar.IntegerRoots.root922 line 4909
  2965. lemma OAI.SharpPlanar.IntegerRoots.root922_contains line 4910
  2966. def OAI.SharpPlanar.IntegerRoots.mid923 line 4913
  2967. lemma OAI.SharpPlanar.IntegerRoots.mid923_contains line 4914
  2968. def OAI.SharpPlanar.IntegerRoots.root923 line 4915
  2969. lemma OAI.SharpPlanar.IntegerRoots.root923_contains line 4916
  2970. def OAI.SharpPlanar.IntegerRoots.root924 line 4919
  2971. lemma OAI.SharpPlanar.IntegerRoots.root924_contains line 4920
  2972. def OAI.SharpPlanar.IntegerRoots.mid925 line 4923
  2973. lemma OAI.SharpPlanar.IntegerRoots.mid925_contains line 4924
  2974. def OAI.SharpPlanar.IntegerRoots.root925 line 4925
  2975. lemma OAI.SharpPlanar.IntegerRoots.root925_contains line 4926
  2976. def OAI.SharpPlanar.IntegerRoots.root926 line 4929
  2977. lemma OAI.SharpPlanar.IntegerRoots.root926_contains line 4930
  2978. def OAI.SharpPlanar.IntegerRoots.mid927 line 4933
  2979. lemma OAI.SharpPlanar.IntegerRoots.mid927_contains line 4934
  2980. def OAI.SharpPlanar.IntegerRoots.root927 line 4935
  2981. lemma OAI.SharpPlanar.IntegerRoots.root927_contains line 4936
  2982. def OAI.SharpPlanar.IntegerRoots.root928 line 4939
  2983. lemma OAI.SharpPlanar.IntegerRoots.root928_contains line 4940
  2984. def OAI.SharpPlanar.IntegerRoots.mid929 line 4943
  2985. lemma OAI.SharpPlanar.IntegerRoots.mid929_contains line 4944
  2986. def OAI.SharpPlanar.IntegerRoots.root929 line 4945
  2987. lemma OAI.SharpPlanar.IntegerRoots.root929_contains line 4946
  2988. def OAI.SharpPlanar.IntegerRoots.root930 line 4949
  2989. lemma OAI.SharpPlanar.IntegerRoots.root930_contains line 4950
  2990. def OAI.SharpPlanar.IntegerRoots.mid931 line 4953
  2991. lemma OAI.SharpPlanar.IntegerRoots.mid931_contains line 4954
  2992. def OAI.SharpPlanar.IntegerRoots.root931 line 4955
  2993. lemma OAI.SharpPlanar.IntegerRoots.root931_contains line 4956
  2994. def OAI.SharpPlanar.IntegerRoots.root932 line 4959
  2995. lemma OAI.SharpPlanar.IntegerRoots.root932_contains line 4960
  2996. def OAI.SharpPlanar.IntegerRoots.mid933 line 4963
  2997. lemma OAI.SharpPlanar.IntegerRoots.mid933_contains line 4964
  2998. def OAI.SharpPlanar.IntegerRoots.root933 line 4965
  2999. lemma OAI.SharpPlanar.IntegerRoots.root933_contains line 4966
  3000. def OAI.SharpPlanar.IntegerRoots.root934 line 4969
  3001. lemma OAI.SharpPlanar.IntegerRoots.root934_contains line 4970
  3002. def OAI.SharpPlanar.IntegerRoots.mid935 line 4973
  3003. lemma OAI.SharpPlanar.IntegerRoots.mid935_contains line 4974
  3004. def OAI.SharpPlanar.IntegerRoots.root935 line 4975
  3005. lemma OAI.SharpPlanar.IntegerRoots.root935_contains line 4976
  3006. def OAI.SharpPlanar.IntegerRoots.root936 line 4979
  3007. lemma OAI.SharpPlanar.IntegerRoots.root936_contains line 4980
  3008. def OAI.SharpPlanar.IntegerRoots.mid937 line 4983
  3009. lemma OAI.SharpPlanar.IntegerRoots.mid937_contains line 4984
  3010. def OAI.SharpPlanar.IntegerRoots.root937 line 4985
  3011. lemma OAI.SharpPlanar.IntegerRoots.root937_contains line 4986
  3012. def OAI.SharpPlanar.IntegerRoots.root938 line 4989
  3013. lemma OAI.SharpPlanar.IntegerRoots.root938_contains line 4990
  3014. def OAI.SharpPlanar.IntegerRoots.mid939 line 4993
  3015. lemma OAI.SharpPlanar.IntegerRoots.mid939_contains line 4994
  3016. def OAI.SharpPlanar.IntegerRoots.root939 line 4995
  3017. lemma OAI.SharpPlanar.IntegerRoots.root939_contains line 4996
  3018. def OAI.SharpPlanar.IntegerRoots.root940 line 4999
  3019. lemma OAI.SharpPlanar.IntegerRoots.root940_contains line 5000
  3020. def OAI.SharpPlanar.IntegerRoots.mid941 line 5003
  3021. lemma OAI.SharpPlanar.IntegerRoots.mid941_contains line 5004
  3022. def OAI.SharpPlanar.IntegerRoots.root941 line 5005
  3023. lemma OAI.SharpPlanar.IntegerRoots.root941_contains line 5006
  3024. def OAI.SharpPlanar.IntegerRoots.root942 line 5009
  3025. lemma OAI.SharpPlanar.IntegerRoots.root942_contains line 5010
  3026. def OAI.SharpPlanar.IntegerRoots.mid943 line 5013
  3027. lemma OAI.SharpPlanar.IntegerRoots.mid943_contains line 5014
  3028. def OAI.SharpPlanar.IntegerRoots.root943 line 5015
  3029. lemma OAI.SharpPlanar.IntegerRoots.root943_contains line 5016
  3030. def OAI.SharpPlanar.IntegerRoots.root944 line 5019
  3031. lemma OAI.SharpPlanar.IntegerRoots.root944_contains line 5020
  3032. def OAI.SharpPlanar.IntegerRoots.mid945 line 5023
  3033. lemma OAI.SharpPlanar.IntegerRoots.mid945_contains line 5024
  3034. def OAI.SharpPlanar.IntegerRoots.root945 line 5025
  3035. lemma OAI.SharpPlanar.IntegerRoots.root945_contains line 5026
  3036. def OAI.SharpPlanar.IntegerRoots.root946 line 5029
  3037. lemma OAI.SharpPlanar.IntegerRoots.root946_contains line 5030
  3038. def OAI.SharpPlanar.IntegerRoots.mid947 line 5033
  3039. lemma OAI.SharpPlanar.IntegerRoots.mid947_contains line 5034
  3040. def OAI.SharpPlanar.IntegerRoots.root947 line 5035
  3041. lemma OAI.SharpPlanar.IntegerRoots.root947_contains line 5036
  3042. def OAI.SharpPlanar.IntegerRoots.root948 line 5039
  3043. lemma OAI.SharpPlanar.IntegerRoots.root948_contains line 5040
  3044. def OAI.SharpPlanar.IntegerRoots.mid949 line 5043
  3045. lemma OAI.SharpPlanar.IntegerRoots.mid949_contains line 5044
  3046. def OAI.SharpPlanar.IntegerRoots.root949 line 5045
  3047. lemma OAI.SharpPlanar.IntegerRoots.root949_contains line 5046
  3048. def OAI.SharpPlanar.IntegerRoots.root950 line 5049
  3049. lemma OAI.SharpPlanar.IntegerRoots.root950_contains line 5050
  3050. def OAI.SharpPlanar.IntegerRoots.mid951 line 5053
  3051. lemma OAI.SharpPlanar.IntegerRoots.mid951_contains line 5054
  3052. def OAI.SharpPlanar.IntegerRoots.root951 line 5055
  3053. lemma OAI.SharpPlanar.IntegerRoots.root951_contains line 5056
  3054. def OAI.SharpPlanar.IntegerRoots.root952 line 5059
  3055. lemma OAI.SharpPlanar.IntegerRoots.root952_contains line 5060
  3056. def OAI.SharpPlanar.IntegerRoots.mid953 line 5063
  3057. lemma OAI.SharpPlanar.IntegerRoots.mid953_contains line 5064
  3058. def OAI.SharpPlanar.IntegerRoots.root953 line 5065
  3059. lemma OAI.SharpPlanar.IntegerRoots.root953_contains line 5066
  3060. def OAI.SharpPlanar.IntegerRoots.root954 line 5069
  3061. lemma OAI.SharpPlanar.IntegerRoots.root954_contains line 5070
  3062. def OAI.SharpPlanar.IntegerRoots.mid955 line 5073
  3063. lemma OAI.SharpPlanar.IntegerRoots.mid955_contains line 5074
  3064. def OAI.SharpPlanar.IntegerRoots.root955 line 5075
  3065. lemma OAI.SharpPlanar.IntegerRoots.root955_contains line 5076
  3066. def OAI.SharpPlanar.IntegerRoots.root956 line 5079
  3067. lemma OAI.SharpPlanar.IntegerRoots.root956_contains line 5080
  3068. def OAI.SharpPlanar.IntegerRoots.mid957 line 5083
  3069. lemma OAI.SharpPlanar.IntegerRoots.mid957_contains line 5084
  3070. def OAI.SharpPlanar.IntegerRoots.root957 line 5085
  3071. lemma OAI.SharpPlanar.IntegerRoots.root957_contains line 5086
  3072. def OAI.SharpPlanar.IntegerRoots.root958 line 5089
  3073. lemma OAI.SharpPlanar.IntegerRoots.root958_contains line 5090
  3074. def OAI.SharpPlanar.IntegerRoots.mid959 line 5093
  3075. lemma OAI.SharpPlanar.IntegerRoots.mid959_contains line 5094
  3076. def OAI.SharpPlanar.IntegerRoots.root959 line 5095
  3077. lemma OAI.SharpPlanar.IntegerRoots.root959_contains line 5096
  3078. def OAI.SharpPlanar.IntegerRoots.root960 line 5099
  3079. lemma OAI.SharpPlanar.IntegerRoots.root960_contains line 5100
  3080. def OAI.SharpPlanar.IntegerRoots.mid961 line 5103
  3081. lemma OAI.SharpPlanar.IntegerRoots.mid961_contains line 5104
  3082. def OAI.SharpPlanar.IntegerRoots.root961 line 5105
  3083. lemma OAI.SharpPlanar.IntegerRoots.root961_contains line 5106
  3084. def OAI.SharpPlanar.IntegerRoots.root962 line 5109
  3085. lemma OAI.SharpPlanar.IntegerRoots.root962_contains line 5110
  3086. def OAI.SharpPlanar.IntegerRoots.mid963 line 5113
  3087. lemma OAI.SharpPlanar.IntegerRoots.mid963_contains line 5114
  3088. def OAI.SharpPlanar.IntegerRoots.root963 line 5115
  3089. lemma OAI.SharpPlanar.IntegerRoots.root963_contains line 5116
  3090. def OAI.SharpPlanar.IntegerRoots.root964 line 5119
  3091. lemma OAI.SharpPlanar.IntegerRoots.root964_contains line 5120
  3092. def OAI.SharpPlanar.IntegerRoots.mid965 line 5123
  3093. lemma OAI.SharpPlanar.IntegerRoots.mid965_contains line 5124
  3094. def OAI.SharpPlanar.IntegerRoots.root965 line 5125
  3095. lemma OAI.SharpPlanar.IntegerRoots.root965_contains line 5126
  3096. def OAI.SharpPlanar.IntegerRoots.root966 line 5129
  3097. lemma OAI.SharpPlanar.IntegerRoots.root966_contains line 5130
  3098. def OAI.SharpPlanar.IntegerRoots.mid967 line 5133
  3099. lemma OAI.SharpPlanar.IntegerRoots.mid967_contains line 5134
  3100. def OAI.SharpPlanar.IntegerRoots.root967 line 5135
  3101. lemma OAI.SharpPlanar.IntegerRoots.root967_contains line 5136
  3102. def OAI.SharpPlanar.IntegerRoots.root968 line 5139
  3103. lemma OAI.SharpPlanar.IntegerRoots.root968_contains line 5140
  3104. def OAI.SharpPlanar.IntegerRoots.mid969 line 5143
  3105. lemma OAI.SharpPlanar.IntegerRoots.mid969_contains line 5144
  3106. def OAI.SharpPlanar.IntegerRoots.root969 line 5145
  3107. lemma OAI.SharpPlanar.IntegerRoots.root969_contains line 5146
  3108. def OAI.SharpPlanar.IntegerRoots.root970 line 5149
  3109. lemma OAI.SharpPlanar.IntegerRoots.root970_contains line 5150
  3110. def OAI.SharpPlanar.IntegerRoots.mid971 line 5153
  3111. lemma OAI.SharpPlanar.IntegerRoots.mid971_contains line 5154
  3112. def OAI.SharpPlanar.IntegerRoots.root971 line 5155
  3113. lemma OAI.SharpPlanar.IntegerRoots.root971_contains line 5156
  3114. def OAI.SharpPlanar.IntegerRoots.root972 line 5159
  3115. lemma OAI.SharpPlanar.IntegerRoots.root972_contains line 5160
  3116. def OAI.SharpPlanar.IntegerRoots.mid973 line 5163
  3117. lemma OAI.SharpPlanar.IntegerRoots.mid973_contains line 5164
  3118. def OAI.SharpPlanar.IntegerRoots.root973 line 5165
  3119. lemma OAI.SharpPlanar.IntegerRoots.root973_contains line 5166
  3120. def OAI.SharpPlanar.IntegerRoots.root974 line 5169
  3121. lemma OAI.SharpPlanar.IntegerRoots.root974_contains line 5170
  3122. def OAI.SharpPlanar.IntegerRoots.mid975 line 5173
  3123. lemma OAI.SharpPlanar.IntegerRoots.mid975_contains line 5174
  3124. def OAI.SharpPlanar.IntegerRoots.root975 line 5175
  3125. lemma OAI.SharpPlanar.IntegerRoots.root975_contains line 5176
  3126. def OAI.SharpPlanar.IntegerRoots.root976 line 5179
  3127. lemma OAI.SharpPlanar.IntegerRoots.root976_contains line 5180
  3128. def OAI.SharpPlanar.IntegerRoots.mid977 line 5183
  3129. lemma OAI.SharpPlanar.IntegerRoots.mid977_contains line 5184
  3130. def OAI.SharpPlanar.IntegerRoots.root977 line 5185
  3131. lemma OAI.SharpPlanar.IntegerRoots.root977_contains line 5186
  3132. def OAI.SharpPlanar.IntegerRoots.root978 line 5189
  3133. lemma OAI.SharpPlanar.IntegerRoots.root978_contains line 5190
  3134. def OAI.SharpPlanar.IntegerRoots.mid979 line 5193
  3135. lemma OAI.SharpPlanar.IntegerRoots.mid979_contains line 5194
  3136. def OAI.SharpPlanar.IntegerRoots.root979 line 5195
  3137. lemma OAI.SharpPlanar.IntegerRoots.root979_contains line 5196
  3138. def OAI.SharpPlanar.IntegerRoots.root980 line 5199
  3139. lemma OAI.SharpPlanar.IntegerRoots.root980_contains line 5200
  3140. def OAI.SharpPlanar.IntegerRoots.mid981 line 5203
  3141. lemma OAI.SharpPlanar.IntegerRoots.mid981_contains line 5204
  3142. def OAI.SharpPlanar.IntegerRoots.root981 line 5205
  3143. lemma OAI.SharpPlanar.IntegerRoots.root981_contains line 5206
  3144. def OAI.SharpPlanar.IntegerRoots.root982 line 5209
  3145. lemma OAI.SharpPlanar.IntegerRoots.root982_contains line 5210
  3146. def OAI.SharpPlanar.IntegerRoots.mid983 line 5213
  3147. lemma OAI.SharpPlanar.IntegerRoots.mid983_contains line 5214
  3148. def OAI.SharpPlanar.IntegerRoots.root983 line 5215
  3149. lemma OAI.SharpPlanar.IntegerRoots.root983_contains line 5216
  3150. def OAI.SharpPlanar.IntegerRoots.root984 line 5219
  3151. lemma OAI.SharpPlanar.IntegerRoots.root984_contains line 5220
  3152. def OAI.SharpPlanar.IntegerRoots.mid985 line 5223
  3153. lemma OAI.SharpPlanar.IntegerRoots.mid985_contains line 5224
  3154. def OAI.SharpPlanar.IntegerRoots.root985 line 5225
  3155. lemma OAI.SharpPlanar.IntegerRoots.root985_contains line 5226
  3156. def OAI.SharpPlanar.IntegerRoots.root986 line 5229
  3157. lemma OAI.SharpPlanar.IntegerRoots.root986_contains line 5230
  3158. def OAI.SharpPlanar.IntegerRoots.mid987 line 5233
  3159. lemma OAI.SharpPlanar.IntegerRoots.mid987_contains line 5234
  3160. def OAI.SharpPlanar.IntegerRoots.root987 line 5235
  3161. lemma OAI.SharpPlanar.IntegerRoots.root987_contains line 5236
  3162. def OAI.SharpPlanar.IntegerRoots.root988 line 5239
  3163. lemma OAI.SharpPlanar.IntegerRoots.root988_contains line 5240
  3164. def OAI.SharpPlanar.IntegerRoots.mid989 line 5243
  3165. lemma OAI.SharpPlanar.IntegerRoots.mid989_contains line 5244
  3166. def OAI.SharpPlanar.IntegerRoots.root989 line 5245
  3167. lemma OAI.SharpPlanar.IntegerRoots.root989_contains line 5246
  3168. def OAI.SharpPlanar.IntegerRoots.root990 line 5249
  3169. lemma OAI.SharpPlanar.IntegerRoots.root990_contains line 5250
  3170. def OAI.SharpPlanar.IntegerRoots.mid991 line 5253
  3171. lemma OAI.SharpPlanar.IntegerRoots.mid991_contains line 5254
  3172. def OAI.SharpPlanar.IntegerRoots.root991 line 5255
  3173. lemma OAI.SharpPlanar.IntegerRoots.root991_contains line 5256
  3174. def OAI.SharpPlanar.IntegerRoots.root992 line 5259
  3175. lemma OAI.SharpPlanar.IntegerRoots.root992_contains line 5260
  3176. def OAI.SharpPlanar.IntegerRoots.mid993 line 5263
  3177. lemma OAI.SharpPlanar.IntegerRoots.mid993_contains line 5264
  3178. def OAI.SharpPlanar.IntegerRoots.root993 line 5265
  3179. lemma OAI.SharpPlanar.IntegerRoots.root993_contains line 5266
  3180. def OAI.SharpPlanar.IntegerRoots.root994 line 5269
  3181. lemma OAI.SharpPlanar.IntegerRoots.root994_contains line 5270
  3182. def OAI.SharpPlanar.IntegerRoots.mid995 line 5273
  3183. lemma OAI.SharpPlanar.IntegerRoots.mid995_contains line 5274
  3184. def OAI.SharpPlanar.IntegerRoots.root995 line 5275
  3185. lemma OAI.SharpPlanar.IntegerRoots.root995_contains line 5276
  3186. def OAI.SharpPlanar.IntegerRoots.root996 line 5279
  3187. lemma OAI.SharpPlanar.IntegerRoots.root996_contains line 5280
  3188. def OAI.SharpPlanar.IntegerRoots.mid997 line 5283
  3189. lemma OAI.SharpPlanar.IntegerRoots.mid997_contains line 5284
  3190. def OAI.SharpPlanar.IntegerRoots.root997 line 5285
  3191. lemma OAI.SharpPlanar.IntegerRoots.root997_contains line 5286
  3192. def OAI.SharpPlanar.IntegerRoots.root998 line 5289
  3193. lemma OAI.SharpPlanar.IntegerRoots.root998_contains line 5290
  3194. def OAI.SharpPlanar.IntegerRoots.mid999 line 5293
  3195. lemma OAI.SharpPlanar.IntegerRoots.mid999_contains line 5294
  3196. def OAI.SharpPlanar.IntegerRoots.root999 line 5295
  3197. lemma OAI.SharpPlanar.IntegerRoots.root999_contains line 5296
  3198. def OAI.SharpPlanar.IntegerRoots.root1000 line 5299
  3199. lemma OAI.SharpPlanar.IntegerRoots.root1000_contains line 5300
  3200. def OAI.SharpPlanar.IntegerRoots.mid1001 line 5303
  3201. lemma OAI.SharpPlanar.IntegerRoots.mid1001_contains line 5304
  3202. def OAI.SharpPlanar.IntegerRoots.root1001 line 5305
  3203. lemma OAI.SharpPlanar.IntegerRoots.root1001_contains line 5306
  3204. def OAI.SharpPlanar.IntegerRoots.root1002 line 5309
  3205. lemma OAI.SharpPlanar.IntegerRoots.root1002_contains line 5310
  3206. def OAI.SharpPlanar.IntegerRoots.mid1003 line 5313
  3207. lemma OAI.SharpPlanar.IntegerRoots.mid1003_contains line 5314
  3208. def OAI.SharpPlanar.IntegerRoots.root1003 line 5315
  3209. lemma OAI.SharpPlanar.IntegerRoots.root1003_contains line 5316
  3210. def OAI.SharpPlanar.IntegerRoots.root1004 line 5319
  3211. lemma OAI.SharpPlanar.IntegerRoots.root1004_contains line 5320
  3212. def OAI.SharpPlanar.IntegerRoots.mid1005 line 5323
  3213. lemma OAI.SharpPlanar.IntegerRoots.mid1005_contains line 5324
  3214. def OAI.SharpPlanar.IntegerRoots.root1005 line 5325
  3215. lemma OAI.SharpPlanar.IntegerRoots.root1005_contains line 5326
  3216. def OAI.SharpPlanar.IntegerRoots.root1006 line 5329
  3217. lemma OAI.SharpPlanar.IntegerRoots.root1006_contains line 5330
  3218. def OAI.SharpPlanar.IntegerRoots.mid1007 line 5333
  3219. lemma OAI.SharpPlanar.IntegerRoots.mid1007_contains line 5334
  3220. def OAI.SharpPlanar.IntegerRoots.root1007 line 5335
  3221. lemma OAI.SharpPlanar.IntegerRoots.root1007_contains line 5336
  3222. def OAI.SharpPlanar.IntegerRoots.root1008 line 5339
  3223. lemma OAI.SharpPlanar.IntegerRoots.root1008_contains line 5340
  3224. def OAI.SharpPlanar.IntegerRoots.mid1009 line 5343
  3225. lemma OAI.SharpPlanar.IntegerRoots.mid1009_contains line 5344
  3226. def OAI.SharpPlanar.IntegerRoots.root1009 line 5345
  3227. lemma OAI.SharpPlanar.IntegerRoots.root1009_contains line 5346
  3228. def OAI.SharpPlanar.IntegerRoots.root1010 line 5349
  3229. lemma OAI.SharpPlanar.IntegerRoots.root1010_contains line 5350
  3230. def OAI.SharpPlanar.IntegerRoots.mid1011 line 5353
  3231. lemma OAI.SharpPlanar.IntegerRoots.mid1011_contains line 5354
  3232. def OAI.SharpPlanar.IntegerRoots.root1011 line 5355
  3233. lemma OAI.SharpPlanar.IntegerRoots.root1011_contains line 5356
  3234. def OAI.SharpPlanar.IntegerRoots.root1012 line 5359
  3235. lemma OAI.SharpPlanar.IntegerRoots.root1012_contains line 5360
  3236. def OAI.SharpPlanar.IntegerRoots.mid1013 line 5363
  3237. lemma OAI.SharpPlanar.IntegerRoots.mid1013_contains line 5364
  3238. def OAI.SharpPlanar.IntegerRoots.root1013 line 5365
  3239. lemma OAI.SharpPlanar.IntegerRoots.root1013_contains line 5366
  3240. def OAI.SharpPlanar.IntegerRoots.root1014 line 5369
  3241. lemma OAI.SharpPlanar.IntegerRoots.root1014_contains line 5370
  3242. def OAI.SharpPlanar.IntegerRoots.mid1015 line 5373
  3243. lemma OAI.SharpPlanar.IntegerRoots.mid1015_contains line 5374
  3244. def OAI.SharpPlanar.IntegerRoots.root1015 line 5375
  3245. lemma OAI.SharpPlanar.IntegerRoots.root1015_contains line 5376
  3246. def OAI.SharpPlanar.IntegerRoots.root1016 line 5379
  3247. lemma OAI.SharpPlanar.IntegerRoots.root1016_contains line 5380
  3248. def OAI.SharpPlanar.IntegerRoots.mid1017 line 5383
  3249. lemma OAI.SharpPlanar.IntegerRoots.mid1017_contains line 5384
  3250. def OAI.SharpPlanar.IntegerRoots.root1017 line 5385
  3251. lemma OAI.SharpPlanar.IntegerRoots.root1017_contains line 5386
  3252. def OAI.SharpPlanar.IntegerRoots.root1018 line 5389
  3253. lemma OAI.SharpPlanar.IntegerRoots.root1018_contains line 5390
  3254. def OAI.SharpPlanar.IntegerRoots.mid1019 line 5393
  3255. lemma OAI.SharpPlanar.IntegerRoots.mid1019_contains line 5394
  3256. def OAI.SharpPlanar.IntegerRoots.root1019 line 5395
  3257. lemma OAI.SharpPlanar.IntegerRoots.root1019_contains line 5396
  3258. def OAI.SharpPlanar.IntegerRoots.root1020 line 5399
  3259. lemma OAI.SharpPlanar.IntegerRoots.root1020_contains line 5400
  3260. def OAI.SharpPlanar.IntegerRoots.mid1021 line 5403
  3261. lemma OAI.SharpPlanar.IntegerRoots.mid1021_contains line 5404
  3262. def OAI.SharpPlanar.IntegerRoots.root1021 line 5405
  3263. lemma OAI.SharpPlanar.IntegerRoots.root1021_contains line 5406
  3264. def OAI.SharpPlanar.IntegerRoots.root1022 line 5409
  3265. lemma OAI.SharpPlanar.IntegerRoots.root1022_contains line 5410
  3266. def OAI.SharpPlanar.IntegerRoots.mid1023 line 5413
  3267. lemma OAI.SharpPlanar.IntegerRoots.mid1023_contains line 5414
  3268. def OAI.SharpPlanar.IntegerRoots.root1023 line 5415
  3269. lemma OAI.SharpPlanar.IntegerRoots.root1023_contains line 5416