OAI/Analysis/PlanarPacking/Certificate/Bernstein33.lean

GitHub source file

456 declarations, 0 contain sorry, 0 declared as axioms

Finite interval certificates for the planar Fourier construction

These rational enclosures certify the numerical bounds in the sharp planar Fourier construction of OpenAI. All interval endpoints are exact integers.

  1. def OAI.SharpPlanar.Bernstein33.N0_right.t0 line 19
  2. lemma OAI.SharpPlanar.Bernstein33.N0_right.t0_checked line 20
  3. lemma OAI.SharpPlanar.Bernstein33.N0_right.t0_contains line 21
  4. def OAI.SharpPlanar.Bernstein33.N0_right.t1 line 25
  5. lemma OAI.SharpPlanar.Bernstein33.N0_right.t1_checked line 26
  6. lemma OAI.SharpPlanar.Bernstein33.N0_right.t1_contains line 27
  7. def OAI.SharpPlanar.Bernstein33.N0_right.t2 line 31
  8. lemma OAI.SharpPlanar.Bernstein33.N0_right.t2_checked line 32
  9. lemma OAI.SharpPlanar.Bernstein33.N0_right.t2_contains line 33
  10. def OAI.SharpPlanar.Bernstein33.N0_right.t3 line 37
  11. lemma OAI.SharpPlanar.Bernstein33.N0_right.t3_checked line 38
  12. lemma OAI.SharpPlanar.Bernstein33.N0_right.t3_contains line 39
  13. def OAI.SharpPlanar.Bernstein33.N0_right.t4 line 43
  14. lemma OAI.SharpPlanar.Bernstein33.N0_right.t4_checked line 44
  15. lemma OAI.SharpPlanar.Bernstein33.N0_right.t4_contains line 45
  16. def OAI.SharpPlanar.Bernstein33.N0_right.t5 line 49
  17. lemma OAI.SharpPlanar.Bernstein33.N0_right.t5_checked line 50
  18. lemma OAI.SharpPlanar.Bernstein33.N0_right.t5_contains line 51
  19. def OAI.SharpPlanar.Bernstein33.N0_right.tr6 line 55
  20. lemma OAI.SharpPlanar.Bernstein33.N0_right.tr6_contains line 56
  21. def OAI.SharpPlanar.Bernstein33.N0_right.t6 line 58
  22. lemma OAI.SharpPlanar.Bernstein33.N0_right.t6_checked line 59
  23. lemma OAI.SharpPlanar.Bernstein33.N0_right.t6_contains line 60
  24. def OAI.SharpPlanar.Bernstein33.N0_right.tr7 line 64
  25. lemma OAI.SharpPlanar.Bernstein33.N0_right.tr7_contains line 65
  26. def OAI.SharpPlanar.Bernstein33.N0_right.t7 line 67
  27. lemma OAI.SharpPlanar.Bernstein33.N0_right.t7_checked line 68
  28. lemma OAI.SharpPlanar.Bernstein33.N0_right.t7_contains line 69
  29. def OAI.SharpPlanar.Bernstein33.N0_right.tr8 line 73
  30. lemma OAI.SharpPlanar.Bernstein33.N0_right.tr8_contains line 74
  31. def OAI.SharpPlanar.Bernstein33.N0_right.t8 line 76
  32. lemma OAI.SharpPlanar.Bernstein33.N0_right.t8_checked line 77
  33. lemma OAI.SharpPlanar.Bernstein33.N0_right.t8_contains line 78
  34. def OAI.SharpPlanar.Bernstein33.N0_right.tr9 line 82
  35. lemma OAI.SharpPlanar.Bernstein33.N0_right.tr9_contains line 83
  36. def OAI.SharpPlanar.Bernstein33.N0_right.t9 line 85
  37. lemma OAI.SharpPlanar.Bernstein33.N0_right.t9_checked line 86
  38. lemma OAI.SharpPlanar.Bernstein33.N0_right.t9_contains line 87
  39. def OAI.SharpPlanar.Bernstein33.N0_right.tr10 line 91
  40. lemma OAI.SharpPlanar.Bernstein33.N0_right.tr10_contains line 92
  41. def OAI.SharpPlanar.Bernstein33.N0_right.t10 line 94
  42. lemma OAI.SharpPlanar.Bernstein33.N0_right.t10_checked line 95
  43. lemma OAI.SharpPlanar.Bernstein33.N0_right.t10_contains line 96
  44. def OAI.SharpPlanar.Bernstein33.N0_right.tr11 line 100
  45. lemma OAI.SharpPlanar.Bernstein33.N0_right.tr11_contains line 101
  46. def OAI.SharpPlanar.Bernstein33.N0_right.t11 line 103
  47. lemma OAI.SharpPlanar.Bernstein33.N0_right.t11_checked line 104
  48. lemma OAI.SharpPlanar.Bernstein33.N0_right.t11_contains line 105
  49. def OAI.SharpPlanar.Bernstein33.N0_right.t12 line 109
  50. lemma OAI.SharpPlanar.Bernstein33.N0_right.t12_contains line 110
  51. def OAI.SharpPlanar.Bernstein33.N0_right.t13 line 112
  52. lemma OAI.SharpPlanar.Bernstein33.N0_right.t13_contains line 113
  53. def OAI.SharpPlanar.Bernstein33.N0_right.t14 line 115
  54. lemma OAI.SharpPlanar.Bernstein33.N0_right.t14_contains line 116
  55. def OAI.SharpPlanar.Bernstein33.N0_right.t15 line 118
  56. lemma OAI.SharpPlanar.Bernstein33.N0_right.t15_contains line 119
  57. def OAI.SharpPlanar.Bernstein33.N0_right.t16 line 121
  58. lemma OAI.SharpPlanar.Bernstein33.N0_right.t16_contains line 122
  59. def OAI.SharpPlanar.Bernstein33.N0_right.t17 line 124
  60. lemma OAI.SharpPlanar.Bernstein33.N0_right.t17_contains line 125
  61. def OAI.SharpPlanar.Bernstein33.N0_right.t18 line 127
  62. lemma OAI.SharpPlanar.Bernstein33.N0_right.t18_contains line 128
  63. def OAI.SharpPlanar.Bernstein33.N0_right.t19 line 130
  64. lemma OAI.SharpPlanar.Bernstein33.N0_right.t19_contains line 131
  65. def OAI.SharpPlanar.Bernstein33.N0_right.t20 line 133
  66. lemma OAI.SharpPlanar.Bernstein33.N0_right.t20_contains line 134
  67. def OAI.SharpPlanar.Bernstein33.N0_right.t21 line 136
  68. lemma OAI.SharpPlanar.Bernstein33.N0_right.t21_contains line 137
  69. def OAI.SharpPlanar.Bernstein33.N0_right.t22 line 139
  70. lemma OAI.SharpPlanar.Bernstein33.N0_right.t22_contains line 140
  71. def OAI.SharpPlanar.Bernstein33.N0_right.t23 line 142
  72. lemma OAI.SharpPlanar.Bernstein33.N0_right.t23_contains line 143
  73. def OAI.SharpPlanar.Bernstein33.N0_right.t24 line 145
  74. lemma OAI.SharpPlanar.Bernstein33.N0_right.t24_contains line 146
  75. def OAI.SharpPlanar.Bernstein33.N0_right.t25 line 148
  76. lemma OAI.SharpPlanar.Bernstein33.N0_right.t25_contains line 149
  77. def OAI.SharpPlanar.Bernstein33.N0_right.t26 line 151
  78. lemma OAI.SharpPlanar.Bernstein33.N0_right.t26_contains line 152
  79. def OAI.SharpPlanar.Bernstein33.N0_right.t27 line 154
  80. lemma OAI.SharpPlanar.Bernstein33.N0_right.t27_contains line 155
  81. def OAI.SharpPlanar.Bernstein33.N0_right.t28 line 157
  82. lemma OAI.SharpPlanar.Bernstein33.N0_right.t28_contains line 158
  83. def OAI.SharpPlanar.Bernstein33.N0_right.ts line 160
  84. lemma OAI.SharpPlanar.Bernstein33.N0_right.ts_contains line 161
  85. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound0 line 192
  86. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound1 line 194
  87. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound2 line 196
  88. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound3 line 198
  89. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound4 line 200
  90. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound5 line 202
  91. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound6 line 204
  92. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound7 line 206
  93. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound8 line 208
  94. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound9 line 210
  95. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound10 line 212
  96. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound11 line 214
  97. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound12 line 216
  98. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound13 line 218
  99. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound14 line 220
  100. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound15 line 222
  101. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound16 line 224
  102. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound17 line 226
  103. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound18 line 228
  104. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound19 line 230
  105. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound20 line 232
  106. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound21 line 234
  107. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound22 line 236
  108. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound23 line 238
  109. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound24 line 240
  110. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound25 line 242
  111. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound26 line 244
  112. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound27 line 246
  113. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound28 line 248
  114. lemma OAI.SharpPlanar.Bernstein33.N0_right.bound line 250
  115. def OAI.SharpPlanar.Bernstein33.N1_right.t0 line 283
  116. lemma OAI.SharpPlanar.Bernstein33.N1_right.t0_checked line 284
  117. lemma OAI.SharpPlanar.Bernstein33.N1_right.t0_contains line 285
  118. def OAI.SharpPlanar.Bernstein33.N1_right.t1 line 289
  119. lemma OAI.SharpPlanar.Bernstein33.N1_right.t1_checked line 290
  120. lemma OAI.SharpPlanar.Bernstein33.N1_right.t1_contains line 291
  121. def OAI.SharpPlanar.Bernstein33.N1_right.t2 line 295
  122. lemma OAI.SharpPlanar.Bernstein33.N1_right.t2_checked line 296
  123. lemma OAI.SharpPlanar.Bernstein33.N1_right.t2_contains line 297
  124. def OAI.SharpPlanar.Bernstein33.N1_right.t3 line 301
  125. lemma OAI.SharpPlanar.Bernstein33.N1_right.t3_checked line 302
  126. lemma OAI.SharpPlanar.Bernstein33.N1_right.t3_contains line 303
  127. def OAI.SharpPlanar.Bernstein33.N1_right.t4 line 307
  128. lemma OAI.SharpPlanar.Bernstein33.N1_right.t4_checked line 308
  129. lemma OAI.SharpPlanar.Bernstein33.N1_right.t4_contains line 309
  130. def OAI.SharpPlanar.Bernstein33.N1_right.t5 line 313
  131. lemma OAI.SharpPlanar.Bernstein33.N1_right.t5_checked line 314
  132. lemma OAI.SharpPlanar.Bernstein33.N1_right.t5_contains line 315
  133. def OAI.SharpPlanar.Bernstein33.N1_right.tr6 line 319
  134. lemma OAI.SharpPlanar.Bernstein33.N1_right.tr6_contains line 320
  135. def OAI.SharpPlanar.Bernstein33.N1_right.t6 line 322
  136. lemma OAI.SharpPlanar.Bernstein33.N1_right.t6_checked line 323
  137. lemma OAI.SharpPlanar.Bernstein33.N1_right.t6_contains line 324
  138. def OAI.SharpPlanar.Bernstein33.N1_right.tr7 line 328
  139. lemma OAI.SharpPlanar.Bernstein33.N1_right.tr7_contains line 329
  140. def OAI.SharpPlanar.Bernstein33.N1_right.t7 line 331
  141. lemma OAI.SharpPlanar.Bernstein33.N1_right.t7_checked line 332
  142. lemma OAI.SharpPlanar.Bernstein33.N1_right.t7_contains line 333
  143. def OAI.SharpPlanar.Bernstein33.N1_right.tr8 line 337
  144. lemma OAI.SharpPlanar.Bernstein33.N1_right.tr8_contains line 338
  145. def OAI.SharpPlanar.Bernstein33.N1_right.t8 line 340
  146. lemma OAI.SharpPlanar.Bernstein33.N1_right.t8_checked line 341
  147. lemma OAI.SharpPlanar.Bernstein33.N1_right.t8_contains line 342
  148. def OAI.SharpPlanar.Bernstein33.N1_right.tr9 line 346
  149. lemma OAI.SharpPlanar.Bernstein33.N1_right.tr9_contains line 347
  150. def OAI.SharpPlanar.Bernstein33.N1_right.t9 line 349
  151. lemma OAI.SharpPlanar.Bernstein33.N1_right.t9_checked line 350
  152. lemma OAI.SharpPlanar.Bernstein33.N1_right.t9_contains line 351
  153. def OAI.SharpPlanar.Bernstein33.N1_right.tr10 line 355
  154. lemma OAI.SharpPlanar.Bernstein33.N1_right.tr10_contains line 356
  155. def OAI.SharpPlanar.Bernstein33.N1_right.t10 line 358
  156. lemma OAI.SharpPlanar.Bernstein33.N1_right.t10_checked line 359
  157. lemma OAI.SharpPlanar.Bernstein33.N1_right.t10_contains line 360
  158. def OAI.SharpPlanar.Bernstein33.N1_right.tr11 line 364
  159. lemma OAI.SharpPlanar.Bernstein33.N1_right.tr11_contains line 365
  160. def OAI.SharpPlanar.Bernstein33.N1_right.t11 line 367
  161. lemma OAI.SharpPlanar.Bernstein33.N1_right.t11_checked line 368
  162. lemma OAI.SharpPlanar.Bernstein33.N1_right.t11_contains line 369
  163. def OAI.SharpPlanar.Bernstein33.N1_right.t12 line 373
  164. lemma OAI.SharpPlanar.Bernstein33.N1_right.t12_contains line 374
  165. def OAI.SharpPlanar.Bernstein33.N1_right.t13 line 376
  166. lemma OAI.SharpPlanar.Bernstein33.N1_right.t13_contains line 377
  167. def OAI.SharpPlanar.Bernstein33.N1_right.t14 line 379
  168. lemma OAI.SharpPlanar.Bernstein33.N1_right.t14_contains line 380
  169. def OAI.SharpPlanar.Bernstein33.N1_right.t15 line 382
  170. lemma OAI.SharpPlanar.Bernstein33.N1_right.t15_contains line 383
  171. def OAI.SharpPlanar.Bernstein33.N1_right.t16 line 385
  172. lemma OAI.SharpPlanar.Bernstein33.N1_right.t16_contains line 386
  173. def OAI.SharpPlanar.Bernstein33.N1_right.t17 line 388
  174. lemma OAI.SharpPlanar.Bernstein33.N1_right.t17_contains line 389
  175. def OAI.SharpPlanar.Bernstein33.N1_right.t18 line 391
  176. lemma OAI.SharpPlanar.Bernstein33.N1_right.t18_contains line 392
  177. def OAI.SharpPlanar.Bernstein33.N1_right.t19 line 394
  178. lemma OAI.SharpPlanar.Bernstein33.N1_right.t19_contains line 395
  179. def OAI.SharpPlanar.Bernstein33.N1_right.t20 line 397
  180. lemma OAI.SharpPlanar.Bernstein33.N1_right.t20_contains line 398
  181. def OAI.SharpPlanar.Bernstein33.N1_right.t21 line 400
  182. lemma OAI.SharpPlanar.Bernstein33.N1_right.t21_contains line 401
  183. def OAI.SharpPlanar.Bernstein33.N1_right.t22 line 403
  184. lemma OAI.SharpPlanar.Bernstein33.N1_right.t22_contains line 404
  185. def OAI.SharpPlanar.Bernstein33.N1_right.t23 line 406
  186. lemma OAI.SharpPlanar.Bernstein33.N1_right.t23_contains line 407
  187. def OAI.SharpPlanar.Bernstein33.N1_right.t24 line 409
  188. lemma OAI.SharpPlanar.Bernstein33.N1_right.t24_contains line 410
  189. def OAI.SharpPlanar.Bernstein33.N1_right.t25 line 412
  190. lemma OAI.SharpPlanar.Bernstein33.N1_right.t25_contains line 413
  191. def OAI.SharpPlanar.Bernstein33.N1_right.t26 line 415
  192. lemma OAI.SharpPlanar.Bernstein33.N1_right.t26_contains line 416
  193. def OAI.SharpPlanar.Bernstein33.N1_right.t27 line 418
  194. lemma OAI.SharpPlanar.Bernstein33.N1_right.t27_contains line 419
  195. def OAI.SharpPlanar.Bernstein33.N1_right.t28 line 421
  196. lemma OAI.SharpPlanar.Bernstein33.N1_right.t28_contains line 422
  197. def OAI.SharpPlanar.Bernstein33.N1_right.ts line 424
  198. lemma OAI.SharpPlanar.Bernstein33.N1_right.ts_contains line 425
  199. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound0 line 456
  200. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound1 line 458
  201. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound2 line 460
  202. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound3 line 462
  203. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound4 line 464
  204. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound5 line 466
  205. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound6 line 468
  206. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound7 line 470
  207. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound8 line 472
  208. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound9 line 474
  209. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound10 line 476
  210. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound11 line 478
  211. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound12 line 480
  212. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound13 line 482
  213. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound14 line 484
  214. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound15 line 486
  215. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound16 line 488
  216. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound17 line 490
  217. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound18 line 492
  218. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound19 line 494
  219. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound20 line 496
  220. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound21 line 498
  221. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound22 line 500
  222. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound23 line 502
  223. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound24 line 504
  224. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound25 line 506
  225. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound26 line 508
  226. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound27 line 510
  227. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound28 line 512
  228. lemma OAI.SharpPlanar.Bernstein33.N1_right.bound line 514
  229. def OAI.SharpPlanar.Bernstein33.N0_left.t0 line 547
  230. lemma OAI.SharpPlanar.Bernstein33.N0_left.t0_checked line 548
  231. lemma OAI.SharpPlanar.Bernstein33.N0_left.t0_contains line 549
  232. def OAI.SharpPlanar.Bernstein33.N0_left.t1 line 553
  233. lemma OAI.SharpPlanar.Bernstein33.N0_left.t1_checked line 554
  234. lemma OAI.SharpPlanar.Bernstein33.N0_left.t1_contains line 555
  235. def OAI.SharpPlanar.Bernstein33.N0_left.t2 line 559
  236. lemma OAI.SharpPlanar.Bernstein33.N0_left.t2_checked line 560
  237. lemma OAI.SharpPlanar.Bernstein33.N0_left.t2_contains line 561
  238. def OAI.SharpPlanar.Bernstein33.N0_left.t3 line 565
  239. lemma OAI.SharpPlanar.Bernstein33.N0_left.t3_checked line 566
  240. lemma OAI.SharpPlanar.Bernstein33.N0_left.t3_contains line 567
  241. def OAI.SharpPlanar.Bernstein33.N0_left.t4 line 571
  242. lemma OAI.SharpPlanar.Bernstein33.N0_left.t4_checked line 572
  243. lemma OAI.SharpPlanar.Bernstein33.N0_left.t4_contains line 573
  244. def OAI.SharpPlanar.Bernstein33.N0_left.t5 line 577
  245. lemma OAI.SharpPlanar.Bernstein33.N0_left.t5_checked line 578
  246. lemma OAI.SharpPlanar.Bernstein33.N0_left.t5_contains line 579
  247. def OAI.SharpPlanar.Bernstein33.N0_left.tr6 line 583
  248. lemma OAI.SharpPlanar.Bernstein33.N0_left.tr6_contains line 584
  249. def OAI.SharpPlanar.Bernstein33.N0_left.t6 line 586
  250. lemma OAI.SharpPlanar.Bernstein33.N0_left.t6_checked line 587
  251. lemma OAI.SharpPlanar.Bernstein33.N0_left.t6_contains line 588
  252. def OAI.SharpPlanar.Bernstein33.N0_left.tr7 line 592
  253. lemma OAI.SharpPlanar.Bernstein33.N0_left.tr7_contains line 593
  254. def OAI.SharpPlanar.Bernstein33.N0_left.t7 line 595
  255. lemma OAI.SharpPlanar.Bernstein33.N0_left.t7_checked line 596
  256. lemma OAI.SharpPlanar.Bernstein33.N0_left.t7_contains line 597
  257. def OAI.SharpPlanar.Bernstein33.N0_left.tr8 line 601
  258. lemma OAI.SharpPlanar.Bernstein33.N0_left.tr8_contains line 602
  259. def OAI.SharpPlanar.Bernstein33.N0_left.t8 line 604
  260. lemma OAI.SharpPlanar.Bernstein33.N0_left.t8_checked line 605
  261. lemma OAI.SharpPlanar.Bernstein33.N0_left.t8_contains line 606
  262. def OAI.SharpPlanar.Bernstein33.N0_left.tr9 line 610
  263. lemma OAI.SharpPlanar.Bernstein33.N0_left.tr9_contains line 611
  264. def OAI.SharpPlanar.Bernstein33.N0_left.t9 line 613
  265. lemma OAI.SharpPlanar.Bernstein33.N0_left.t9_checked line 614
  266. lemma OAI.SharpPlanar.Bernstein33.N0_left.t9_contains line 615
  267. def OAI.SharpPlanar.Bernstein33.N0_left.tr10 line 619
  268. lemma OAI.SharpPlanar.Bernstein33.N0_left.tr10_contains line 620
  269. def OAI.SharpPlanar.Bernstein33.N0_left.t10 line 622
  270. lemma OAI.SharpPlanar.Bernstein33.N0_left.t10_checked line 623
  271. lemma OAI.SharpPlanar.Bernstein33.N0_left.t10_contains line 624
  272. def OAI.SharpPlanar.Bernstein33.N0_left.tr11 line 628
  273. lemma OAI.SharpPlanar.Bernstein33.N0_left.tr11_contains line 629
  274. def OAI.SharpPlanar.Bernstein33.N0_left.t11 line 631
  275. lemma OAI.SharpPlanar.Bernstein33.N0_left.t11_checked line 632
  276. lemma OAI.SharpPlanar.Bernstein33.N0_left.t11_contains line 633
  277. def OAI.SharpPlanar.Bernstein33.N0_left.t12 line 637
  278. lemma OAI.SharpPlanar.Bernstein33.N0_left.t12_contains line 638
  279. def OAI.SharpPlanar.Bernstein33.N0_left.t13 line 640
  280. lemma OAI.SharpPlanar.Bernstein33.N0_left.t13_contains line 641
  281. def OAI.SharpPlanar.Bernstein33.N0_left.t14 line 643
  282. lemma OAI.SharpPlanar.Bernstein33.N0_left.t14_contains line 644
  283. def OAI.SharpPlanar.Bernstein33.N0_left.t15 line 646
  284. lemma OAI.SharpPlanar.Bernstein33.N0_left.t15_contains line 647
  285. def OAI.SharpPlanar.Bernstein33.N0_left.t16 line 649
  286. lemma OAI.SharpPlanar.Bernstein33.N0_left.t16_contains line 650
  287. def OAI.SharpPlanar.Bernstein33.N0_left.t17 line 652
  288. lemma OAI.SharpPlanar.Bernstein33.N0_left.t17_contains line 653
  289. def OAI.SharpPlanar.Bernstein33.N0_left.t18 line 655
  290. lemma OAI.SharpPlanar.Bernstein33.N0_left.t18_contains line 656
  291. def OAI.SharpPlanar.Bernstein33.N0_left.t19 line 658
  292. lemma OAI.SharpPlanar.Bernstein33.N0_left.t19_contains line 659
  293. def OAI.SharpPlanar.Bernstein33.N0_left.t20 line 661
  294. lemma OAI.SharpPlanar.Bernstein33.N0_left.t20_contains line 662
  295. def OAI.SharpPlanar.Bernstein33.N0_left.t21 line 664
  296. lemma OAI.SharpPlanar.Bernstein33.N0_left.t21_contains line 665
  297. def OAI.SharpPlanar.Bernstein33.N0_left.t22 line 667
  298. lemma OAI.SharpPlanar.Bernstein33.N0_left.t22_contains line 668
  299. def OAI.SharpPlanar.Bernstein33.N0_left.t23 line 670
  300. lemma OAI.SharpPlanar.Bernstein33.N0_left.t23_contains line 671
  301. def OAI.SharpPlanar.Bernstein33.N0_left.t24 line 673
  302. lemma OAI.SharpPlanar.Bernstein33.N0_left.t24_contains line 674
  303. def OAI.SharpPlanar.Bernstein33.N0_left.t25 line 676
  304. lemma OAI.SharpPlanar.Bernstein33.N0_left.t25_contains line 677
  305. def OAI.SharpPlanar.Bernstein33.N0_left.t26 line 679
  306. lemma OAI.SharpPlanar.Bernstein33.N0_left.t26_contains line 680
  307. def OAI.SharpPlanar.Bernstein33.N0_left.t27 line 682
  308. lemma OAI.SharpPlanar.Bernstein33.N0_left.t27_contains line 683
  309. def OAI.SharpPlanar.Bernstein33.N0_left.t28 line 685
  310. lemma OAI.SharpPlanar.Bernstein33.N0_left.t28_contains line 686
  311. def OAI.SharpPlanar.Bernstein33.N0_left.ts line 688
  312. lemma OAI.SharpPlanar.Bernstein33.N0_left.ts_contains line 689
  313. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound0 line 720
  314. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound1 line 722
  315. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound2 line 724
  316. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound3 line 726
  317. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound4 line 728
  318. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound5 line 730
  319. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound6 line 732
  320. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound7 line 734
  321. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound8 line 736
  322. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound9 line 738
  323. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound10 line 740
  324. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound11 line 742
  325. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound12 line 744
  326. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound13 line 746
  327. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound14 line 748
  328. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound15 line 750
  329. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound16 line 752
  330. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound17 line 754
  331. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound18 line 756
  332. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound19 line 758
  333. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound20 line 760
  334. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound21 line 762
  335. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound22 line 764
  336. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound23 line 766
  337. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound24 line 768
  338. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound25 line 770
  339. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound26 line 772
  340. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound27 line 774
  341. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound28 line 776
  342. lemma OAI.SharpPlanar.Bernstein33.N0_left.bound line 778
  343. def OAI.SharpPlanar.Bernstein33.N1_left.t0 line 811
  344. lemma OAI.SharpPlanar.Bernstein33.N1_left.t0_checked line 812
  345. lemma OAI.SharpPlanar.Bernstein33.N1_left.t0_contains line 813
  346. def OAI.SharpPlanar.Bernstein33.N1_left.t1 line 817
  347. lemma OAI.SharpPlanar.Bernstein33.N1_left.t1_checked line 818
  348. lemma OAI.SharpPlanar.Bernstein33.N1_left.t1_contains line 819
  349. def OAI.SharpPlanar.Bernstein33.N1_left.t2 line 823
  350. lemma OAI.SharpPlanar.Bernstein33.N1_left.t2_checked line 824
  351. lemma OAI.SharpPlanar.Bernstein33.N1_left.t2_contains line 825
  352. def OAI.SharpPlanar.Bernstein33.N1_left.t3 line 829
  353. lemma OAI.SharpPlanar.Bernstein33.N1_left.t3_checked line 830
  354. lemma OAI.SharpPlanar.Bernstein33.N1_left.t3_contains line 831
  355. def OAI.SharpPlanar.Bernstein33.N1_left.t4 line 835
  356. lemma OAI.SharpPlanar.Bernstein33.N1_left.t4_checked line 836
  357. lemma OAI.SharpPlanar.Bernstein33.N1_left.t4_contains line 837
  358. def OAI.SharpPlanar.Bernstein33.N1_left.t5 line 841
  359. lemma OAI.SharpPlanar.Bernstein33.N1_left.t5_checked line 842
  360. lemma OAI.SharpPlanar.Bernstein33.N1_left.t5_contains line 843
  361. def OAI.SharpPlanar.Bernstein33.N1_left.tr6 line 847
  362. lemma OAI.SharpPlanar.Bernstein33.N1_left.tr6_contains line 848
  363. def OAI.SharpPlanar.Bernstein33.N1_left.t6 line 850
  364. lemma OAI.SharpPlanar.Bernstein33.N1_left.t6_checked line 851
  365. lemma OAI.SharpPlanar.Bernstein33.N1_left.t6_contains line 852
  366. def OAI.SharpPlanar.Bernstein33.N1_left.tr7 line 856
  367. lemma OAI.SharpPlanar.Bernstein33.N1_left.tr7_contains line 857
  368. def OAI.SharpPlanar.Bernstein33.N1_left.t7 line 859
  369. lemma OAI.SharpPlanar.Bernstein33.N1_left.t7_checked line 860
  370. lemma OAI.SharpPlanar.Bernstein33.N1_left.t7_contains line 861
  371. def OAI.SharpPlanar.Bernstein33.N1_left.tr8 line 865
  372. lemma OAI.SharpPlanar.Bernstein33.N1_left.tr8_contains line 866
  373. def OAI.SharpPlanar.Bernstein33.N1_left.t8 line 868
  374. lemma OAI.SharpPlanar.Bernstein33.N1_left.t8_checked line 869
  375. lemma OAI.SharpPlanar.Bernstein33.N1_left.t8_contains line 870
  376. def OAI.SharpPlanar.Bernstein33.N1_left.tr9 line 874
  377. lemma OAI.SharpPlanar.Bernstein33.N1_left.tr9_contains line 875
  378. def OAI.SharpPlanar.Bernstein33.N1_left.t9 line 877
  379. lemma OAI.SharpPlanar.Bernstein33.N1_left.t9_checked line 878
  380. lemma OAI.SharpPlanar.Bernstein33.N1_left.t9_contains line 879
  381. def OAI.SharpPlanar.Bernstein33.N1_left.tr10 line 883
  382. lemma OAI.SharpPlanar.Bernstein33.N1_left.tr10_contains line 884
  383. def OAI.SharpPlanar.Bernstein33.N1_left.t10 line 886
  384. lemma OAI.SharpPlanar.Bernstein33.N1_left.t10_checked line 887
  385. lemma OAI.SharpPlanar.Bernstein33.N1_left.t10_contains line 888
  386. def OAI.SharpPlanar.Bernstein33.N1_left.tr11 line 892
  387. lemma OAI.SharpPlanar.Bernstein33.N1_left.tr11_contains line 893
  388. def OAI.SharpPlanar.Bernstein33.N1_left.t11 line 895
  389. lemma OAI.SharpPlanar.Bernstein33.N1_left.t11_checked line 896
  390. lemma OAI.SharpPlanar.Bernstein33.N1_left.t11_contains line 897
  391. def OAI.SharpPlanar.Bernstein33.N1_left.t12 line 901
  392. lemma OAI.SharpPlanar.Bernstein33.N1_left.t12_contains line 902
  393. def OAI.SharpPlanar.Bernstein33.N1_left.t13 line 904
  394. lemma OAI.SharpPlanar.Bernstein33.N1_left.t13_contains line 905
  395. def OAI.SharpPlanar.Bernstein33.N1_left.t14 line 907
  396. lemma OAI.SharpPlanar.Bernstein33.N1_left.t14_contains line 908
  397. def OAI.SharpPlanar.Bernstein33.N1_left.t15 line 910
  398. lemma OAI.SharpPlanar.Bernstein33.N1_left.t15_contains line 911
  399. def OAI.SharpPlanar.Bernstein33.N1_left.t16 line 913
  400. lemma OAI.SharpPlanar.Bernstein33.N1_left.t16_contains line 914
  401. def OAI.SharpPlanar.Bernstein33.N1_left.t17 line 916
  402. lemma OAI.SharpPlanar.Bernstein33.N1_left.t17_contains line 917
  403. def OAI.SharpPlanar.Bernstein33.N1_left.t18 line 919
  404. lemma OAI.SharpPlanar.Bernstein33.N1_left.t18_contains line 920
  405. def OAI.SharpPlanar.Bernstein33.N1_left.t19 line 922
  406. lemma OAI.SharpPlanar.Bernstein33.N1_left.t19_contains line 923
  407. def OAI.SharpPlanar.Bernstein33.N1_left.t20 line 925
  408. lemma OAI.SharpPlanar.Bernstein33.N1_left.t20_contains line 926
  409. def OAI.SharpPlanar.Bernstein33.N1_left.t21 line 928
  410. lemma OAI.SharpPlanar.Bernstein33.N1_left.t21_contains line 929
  411. def OAI.SharpPlanar.Bernstein33.N1_left.t22 line 931
  412. lemma OAI.SharpPlanar.Bernstein33.N1_left.t22_contains line 932
  413. def OAI.SharpPlanar.Bernstein33.N1_left.t23 line 934
  414. lemma OAI.SharpPlanar.Bernstein33.N1_left.t23_contains line 935
  415. def OAI.SharpPlanar.Bernstein33.N1_left.t24 line 937
  416. lemma OAI.SharpPlanar.Bernstein33.N1_left.t24_contains line 938
  417. def OAI.SharpPlanar.Bernstein33.N1_left.t25 line 940
  418. lemma OAI.SharpPlanar.Bernstein33.N1_left.t25_contains line 941
  419. def OAI.SharpPlanar.Bernstein33.N1_left.t26 line 943
  420. lemma OAI.SharpPlanar.Bernstein33.N1_left.t26_contains line 944
  421. def OAI.SharpPlanar.Bernstein33.N1_left.t27 line 946
  422. lemma OAI.SharpPlanar.Bernstein33.N1_left.t27_contains line 947
  423. def OAI.SharpPlanar.Bernstein33.N1_left.t28 line 949
  424. lemma OAI.SharpPlanar.Bernstein33.N1_left.t28_contains line 950
  425. def OAI.SharpPlanar.Bernstein33.N1_left.ts line 952
  426. lemma OAI.SharpPlanar.Bernstein33.N1_left.ts_contains line 953
  427. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound0 line 984
  428. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound1 line 986
  429. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound2 line 988
  430. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound3 line 990
  431. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound4 line 992
  432. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound5 line 994
  433. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound6 line 996
  434. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound7 line 998
  435. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound8 line 1000
  436. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound9 line 1002
  437. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound10 line 1004
  438. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound11 line 1006
  439. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound12 line 1008
  440. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound13 line 1010
  441. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound14 line 1012
  442. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound15 line 1014
  443. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound16 line 1016
  444. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound17 line 1018
  445. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound18 line 1020
  446. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound19 line 1022
  447. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound20 line 1024
  448. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound21 line 1026
  449. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound22 line 1028
  450. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound23 line 1030
  451. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound24 line 1032
  452. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound25 line 1034
  453. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound26 line 1036
  454. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound27 line 1038
  455. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound28 line 1040
  456. lemma OAI.SharpPlanar.Bernstein33.N1_left.bound line 1042