OAI/GameTheory/SnakyTwentyOne/Cards/Height12Part01.lean

GitHub source file

396 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SnakyPrototype.Certificate21.required_428 line 31
  2. def OAI.SnakyPrototype.Certificate21.envelope_428 line 32
  3. def OAI.SnakyPrototype.Certificate21.childrenC_428 line 33
  4. def OAI.SnakyPrototype.Certificate21.childrenD_428 line 34
  5. theorem OAI.SnakyPrototype.Certificate21.common_sub_428 line 35
  6. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_428 line 36
  7. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_428 line 37
  8. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_428 line 38
  9. theorem OAI.SnakyPrototype.Certificate21.children_work_428 line 39
  10. theorem OAI.SnakyPrototype.Certificate21.row_works_428 line 46
  11. def OAI.SnakyPrototype.Certificate21.required_485_i0 line 51
  12. def OAI.SnakyPrototype.Certificate21.envelope_485_i0 line 52
  13. def OAI.SnakyPrototype.Certificate21.childrenC_485_i0 line 53
  14. def OAI.SnakyPrototype.Certificate21.childrenD_485_i0 line 54
  15. theorem OAI.SnakyPrototype.Certificate21.common_sub_485_i0 line 55
  16. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_485_i0 line 56
  17. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_485_i0 line 57
  18. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_485_i0 line 58
  19. theorem OAI.SnakyPrototype.Certificate21.children_work_485_i0 line 59
  20. theorem OAI.SnakyPrototype.Certificate21.row_works_485_i0 line 66
  21. def OAI.SnakyPrototype.Certificate21.required_485_i2 line 71
  22. def OAI.SnakyPrototype.Certificate21.envelope_485_i2 line 72
  23. def OAI.SnakyPrototype.Certificate21.childrenC_485_i2 line 73
  24. def OAI.SnakyPrototype.Certificate21.childrenD_485_i2 line 74
  25. theorem OAI.SnakyPrototype.Certificate21.common_sub_485_i2 line 75
  26. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_485_i2 line 76
  27. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_485_i2 line 77
  28. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_485_i2 line 78
  29. theorem OAI.SnakyPrototype.Certificate21.children_work_485_i2 line 79
  30. theorem OAI.SnakyPrototype.Certificate21.row_works_485_i2 line 88
  31. def OAI.SnakyPrototype.Certificate21.required_485_i3 line 93
  32. def OAI.SnakyPrototype.Certificate21.envelope_485_i3 line 94
  33. def OAI.SnakyPrototype.Certificate21.childrenC_485_i3 line 95
  34. def OAI.SnakyPrototype.Certificate21.childrenD_485_i3 line 96
  35. theorem OAI.SnakyPrototype.Certificate21.common_sub_485_i3 line 97
  36. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_485_i3 line 98
  37. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_485_i3 line 99
  38. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_485_i3 line 100
  39. theorem OAI.SnakyPrototype.Certificate21.children_work_485_i3 line 101
  40. theorem OAI.SnakyPrototype.Certificate21.row_works_485_i3 line 106
  41. def OAI.SnakyPrototype.Certificate21.required_485_i1 line 111
  42. def OAI.SnakyPrototype.Certificate21.envelope_485_i1 line 112
  43. def OAI.SnakyPrototype.Certificate21.childrenC_485_i1 line 113
  44. def OAI.SnakyPrototype.Certificate21.childrenD_485_i1 line 114
  45. theorem OAI.SnakyPrototype.Certificate21.common_sub_485_i1 line 115
  46. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_485_i1 line 116
  47. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_485_i1 line 117
  48. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_485_i1 line 118
  49. theorem OAI.SnakyPrototype.Certificate21.children_work_485_i1 line 119
  50. theorem OAI.SnakyPrototype.Certificate21.row_works_485_i1 line 126
  51. def OAI.SnakyPrototype.Certificate21.required_485 line 131
  52. def OAI.SnakyPrototype.Certificate21.envelope_485 line 132
  53. def OAI.SnakyPrototype.Certificate21.childrenC_485 line 133
  54. def OAI.SnakyPrototype.Certificate21.childrenD_485 line 134
  55. theorem OAI.SnakyPrototype.Certificate21.common_sub_485 line 135
  56. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_485 line 136
  57. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_485 line 137
  58. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_485 line 138
  59. theorem OAI.SnakyPrototype.Certificate21.children_work_485 line 139
  60. theorem OAI.SnakyPrototype.Certificate21.row_works_485 line 147
  61. def OAI.SnakyPrototype.Certificate21.required_489_i1 line 152
  62. def OAI.SnakyPrototype.Certificate21.envelope_489_i1 line 153
  63. def OAI.SnakyPrototype.Certificate21.childrenC_489_i1 line 154
  64. def OAI.SnakyPrototype.Certificate21.childrenD_489_i1 line 155
  65. theorem OAI.SnakyPrototype.Certificate21.common_sub_489_i1 line 156
  66. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_489_i1 line 157
  67. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_489_i1 line 158
  68. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_489_i1 line 159
  69. theorem OAI.SnakyPrototype.Certificate21.children_work_489_i1 line 160
  70. theorem OAI.SnakyPrototype.Certificate21.row_works_489_i1 line 167
  71. def OAI.SnakyPrototype.Certificate21.required_489_i0 line 172
  72. def OAI.SnakyPrototype.Certificate21.envelope_489_i0 line 173
  73. def OAI.SnakyPrototype.Certificate21.childrenC_489_i0 line 174
  74. def OAI.SnakyPrototype.Certificate21.childrenD_489_i0 line 175
  75. theorem OAI.SnakyPrototype.Certificate21.common_sub_489_i0 line 176
  76. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_489_i0 line 177
  77. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_489_i0 line 178
  78. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_489_i0 line 179
  79. theorem OAI.SnakyPrototype.Certificate21.children_work_489_i0 line 180
  80. theorem OAI.SnakyPrototype.Certificate21.row_works_489_i0 line 185
  81. def OAI.SnakyPrototype.Certificate21.required_489_i2 line 190
  82. def OAI.SnakyPrototype.Certificate21.envelope_489_i2 line 191
  83. def OAI.SnakyPrototype.Certificate21.childrenC_489_i2 line 192
  84. def OAI.SnakyPrototype.Certificate21.childrenD_489_i2 line 193
  85. theorem OAI.SnakyPrototype.Certificate21.common_sub_489_i2 line 194
  86. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_489_i2 line 195
  87. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_489_i2 line 196
  88. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_489_i2 line 197
  89. theorem OAI.SnakyPrototype.Certificate21.children_work_489_i2 line 198
  90. theorem OAI.SnakyPrototype.Certificate21.row_works_489_i2 line 205
  91. def OAI.SnakyPrototype.Certificate21.required_489 line 210
  92. def OAI.SnakyPrototype.Certificate21.envelope_489 line 211
  93. def OAI.SnakyPrototype.Certificate21.childrenC_489 line 212
  94. def OAI.SnakyPrototype.Certificate21.childrenD_489 line 213
  95. theorem OAI.SnakyPrototype.Certificate21.common_sub_489 line 214
  96. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_489 line 215
  97. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_489 line 216
  98. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_489 line 217
  99. theorem OAI.SnakyPrototype.Certificate21.children_work_489 line 218
  100. theorem OAI.SnakyPrototype.Certificate21.row_works_489 line 225
  101. def OAI.SnakyPrototype.Certificate21.required_543_i1 line 230
  102. def OAI.SnakyPrototype.Certificate21.envelope_543_i1 line 231
  103. def OAI.SnakyPrototype.Certificate21.childrenC_543_i1 line 232
  104. def OAI.SnakyPrototype.Certificate21.childrenD_543_i1 line 233
  105. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i1 line 234
  106. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i1 line 235
  107. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i1 line 236
  108. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i1 line 237
  109. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i1 line 238
  110. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i1 line 243
  111. def OAI.SnakyPrototype.Certificate21.required_543_i6 line 248
  112. def OAI.SnakyPrototype.Certificate21.envelope_543_i6 line 249
  113. def OAI.SnakyPrototype.Certificate21.childrenC_543_i6 line 250
  114. def OAI.SnakyPrototype.Certificate21.childrenD_543_i6 line 251
  115. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i6 line 252
  116. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i6 line 253
  117. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i6 line 254
  118. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i6 line 255
  119. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i6 line 256
  120. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i6 line 261
  121. def OAI.SnakyPrototype.Certificate21.required_543_i5 line 266
  122. def OAI.SnakyPrototype.Certificate21.envelope_543_i5 line 267
  123. def OAI.SnakyPrototype.Certificate21.childrenC_543_i5 line 268
  124. def OAI.SnakyPrototype.Certificate21.childrenD_543_i5 line 269
  125. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i5 line 270
  126. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i5 line 271
  127. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i5 line 272
  128. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i5 line 273
  129. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i5 line 274
  130. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i5 line 279
  131. def OAI.SnakyPrototype.Certificate21.required_543_i4 line 284
  132. def OAI.SnakyPrototype.Certificate21.envelope_543_i4 line 285
  133. def OAI.SnakyPrototype.Certificate21.childrenC_543_i4 line 286
  134. def OAI.SnakyPrototype.Certificate21.childrenD_543_i4 line 287
  135. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i4 line 288
  136. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i4 line 289
  137. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i4 line 290
  138. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i4 line 291
  139. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i4 line 292
  140. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i4 line 297
  141. def OAI.SnakyPrototype.Certificate21.required_543_i3 line 302
  142. def OAI.SnakyPrototype.Certificate21.envelope_543_i3 line 303
  143. def OAI.SnakyPrototype.Certificate21.childrenC_543_i3 line 304
  144. def OAI.SnakyPrototype.Certificate21.childrenD_543_i3 line 305
  145. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i3 line 306
  146. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i3 line 307
  147. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i3 line 308
  148. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i3 line 309
  149. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i3 line 310
  150. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i3 line 315
  151. def OAI.SnakyPrototype.Certificate21.required_543_i2 line 320
  152. def OAI.SnakyPrototype.Certificate21.envelope_543_i2 line 321
  153. def OAI.SnakyPrototype.Certificate21.childrenC_543_i2 line 322
  154. def OAI.SnakyPrototype.Certificate21.childrenD_543_i2 line 323
  155. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i2 line 324
  156. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i2 line 325
  157. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i2 line 326
  158. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i2 line 327
  159. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i2 line 328
  160. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i2 line 333
  161. def OAI.SnakyPrototype.Certificate21.required_543_i7 line 338
  162. def OAI.SnakyPrototype.Certificate21.envelope_543_i7 line 339
  163. def OAI.SnakyPrototype.Certificate21.childrenC_543_i7 line 340
  164. def OAI.SnakyPrototype.Certificate21.childrenD_543_i7 line 341
  165. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i7 line 342
  166. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i7 line 343
  167. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i7 line 344
  168. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i7 line 345
  169. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i7 line 346
  170. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i7 line 351
  171. def OAI.SnakyPrototype.Certificate21.required_543_i8 line 356
  172. def OAI.SnakyPrototype.Certificate21.envelope_543_i8 line 357
  173. def OAI.SnakyPrototype.Certificate21.childrenC_543_i8 line 358
  174. def OAI.SnakyPrototype.Certificate21.childrenD_543_i8 line 359
  175. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i8 line 360
  176. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i8 line 361
  177. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i8 line 362
  178. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i8 line 363
  179. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i8 line 364
  180. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i8 line 370
  181. def OAI.SnakyPrototype.Certificate21.required_543_i0 line 375
  182. def OAI.SnakyPrototype.Certificate21.envelope_543_i0 line 376
  183. def OAI.SnakyPrototype.Certificate21.childrenC_543_i0 line 377
  184. def OAI.SnakyPrototype.Certificate21.childrenD_543_i0 line 378
  185. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i0 line 379
  186. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i0 line 380
  187. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i0 line 381
  188. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i0 line 382
  189. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i0 line 383
  190. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i0 line 393
  191. def OAI.SnakyPrototype.Certificate21.required_543_i10 line 398
  192. def OAI.SnakyPrototype.Certificate21.envelope_543_i10 line 399
  193. def OAI.SnakyPrototype.Certificate21.childrenC_543_i10 line 400
  194. def OAI.SnakyPrototype.Certificate21.childrenD_543_i10 line 401
  195. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i10 line 402
  196. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i10 line 403
  197. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i10 line 404
  198. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i10 line 405
  199. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i10 line 406
  200. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i10 line 411
  201. def OAI.SnakyPrototype.Certificate21.required_543_i9 line 416
  202. def OAI.SnakyPrototype.Certificate21.envelope_543_i9 line 417
  203. def OAI.SnakyPrototype.Certificate21.childrenC_543_i9 line 418
  204. def OAI.SnakyPrototype.Certificate21.childrenD_543_i9 line 419
  205. theorem OAI.SnakyPrototype.Certificate21.common_sub_543_i9 line 420
  206. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543_i9 line 421
  207. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543_i9 line 422
  208. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543_i9 line 423
  209. theorem OAI.SnakyPrototype.Certificate21.children_work_543_i9 line 424
  210. theorem OAI.SnakyPrototype.Certificate21.row_works_543_i9 line 429
  211. def OAI.SnakyPrototype.Certificate21.required_543 line 434
  212. def OAI.SnakyPrototype.Certificate21.envelope_543 line 435
  213. def OAI.SnakyPrototype.Certificate21.childrenC_543 line 436
  214. def OAI.SnakyPrototype.Certificate21.childrenD_543 line 437
  215. theorem OAI.SnakyPrototype.Certificate21.common_sub_543 line 438
  216. theorem OAI.SnakyPrototype.Certificate21.child_required_sub_543 line 439
  217. theorem OAI.SnakyPrototype.Certificate21.child_envelope_sub_543 line 440
  218. theorem OAI.SnakyPrototype.Certificate21.pivot_mem_543 line 441
  219. theorem OAI.SnakyPrototype.Certificate21.children_work_543 line 442
  220. theorem OAI.SnakyPrototype.Certificate21.row_works_543 line 449
  221. def OAI.SnakyPrototype.Certificate21.height_428 line 454
  222. def OAI.SnakyPrototype.Certificate21.childrenH_428 line 455
  223. theorem OAI.SnakyPrototype.Certificate21.height_exact_428 line 456
  224. theorem OAI.SnakyPrototype.Certificate21.required_origin_428 line 457
  225. theorem OAI.SnakyPrototype.Certificate21.required_exact_428 line 459
  226. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_428 line 463
  227. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_428 line 465
  228. def OAI.SnakyPrototype.Certificate21.checked_428 line 469
  229. def OAI.SnakyPrototype.Certificate21.height_485_i0 line 477
  230. def OAI.SnakyPrototype.Certificate21.childrenH_485_i0 line 478
  231. theorem OAI.SnakyPrototype.Certificate21.height_exact_485_i0 line 479
  232. theorem OAI.SnakyPrototype.Certificate21.required_origin_485_i0 line 480
  233. theorem OAI.SnakyPrototype.Certificate21.required_exact_485_i0 line 482
  234. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_485_i0 line 486
  235. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_485_i0 line 488
  236. def OAI.SnakyPrototype.Certificate21.checked_485_i0 line 492
  237. def OAI.SnakyPrototype.Certificate21.height_485_i2 line 500
  238. def OAI.SnakyPrototype.Certificate21.childrenH_485_i2 line 501
  239. theorem OAI.SnakyPrototype.Certificate21.height_exact_485_i2 line 502
  240. theorem OAI.SnakyPrototype.Certificate21.required_origin_485_i2 line 503
  241. theorem OAI.SnakyPrototype.Certificate21.required_exact_485_i2 line 505
  242. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_485_i2 line 509
  243. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_485_i2 line 511
  244. def OAI.SnakyPrototype.Certificate21.checked_485_i2 line 515
  245. def OAI.SnakyPrototype.Certificate21.height_485_i3 line 523
  246. def OAI.SnakyPrototype.Certificate21.childrenH_485_i3 line 524
  247. theorem OAI.SnakyPrototype.Certificate21.height_exact_485_i3 line 525
  248. theorem OAI.SnakyPrototype.Certificate21.required_origin_485_i3 line 526
  249. theorem OAI.SnakyPrototype.Certificate21.required_exact_485_i3 line 528
  250. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_485_i3 line 532
  251. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_485_i3 line 534
  252. def OAI.SnakyPrototype.Certificate21.checked_485_i3 line 538
  253. def OAI.SnakyPrototype.Certificate21.height_485_i1 line 546
  254. def OAI.SnakyPrototype.Certificate21.childrenH_485_i1 line 547
  255. theorem OAI.SnakyPrototype.Certificate21.height_exact_485_i1 line 548
  256. theorem OAI.SnakyPrototype.Certificate21.required_origin_485_i1 line 549
  257. theorem OAI.SnakyPrototype.Certificate21.required_exact_485_i1 line 551
  258. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_485_i1 line 555
  259. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_485_i1 line 557
  260. def OAI.SnakyPrototype.Certificate21.checked_485_i1 line 561
  261. def OAI.SnakyPrototype.Certificate21.height_485 line 569
  262. def OAI.SnakyPrototype.Certificate21.childrenH_485 line 570
  263. theorem OAI.SnakyPrototype.Certificate21.height_exact_485 line 571
  264. theorem OAI.SnakyPrototype.Certificate21.required_origin_485 line 572
  265. theorem OAI.SnakyPrototype.Certificate21.required_exact_485 line 574
  266. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_485 line 578
  267. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_485 line 580
  268. def OAI.SnakyPrototype.Certificate21.checked_485 line 584
  269. def OAI.SnakyPrototype.Certificate21.height_489_i1 line 592
  270. def OAI.SnakyPrototype.Certificate21.childrenH_489_i1 line 593
  271. theorem OAI.SnakyPrototype.Certificate21.height_exact_489_i1 line 594
  272. theorem OAI.SnakyPrototype.Certificate21.required_origin_489_i1 line 595
  273. theorem OAI.SnakyPrototype.Certificate21.required_exact_489_i1 line 597
  274. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_489_i1 line 601
  275. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_489_i1 line 603
  276. def OAI.SnakyPrototype.Certificate21.checked_489_i1 line 607
  277. def OAI.SnakyPrototype.Certificate21.height_489_i0 line 615
  278. def OAI.SnakyPrototype.Certificate21.childrenH_489_i0 line 616
  279. theorem OAI.SnakyPrototype.Certificate21.height_exact_489_i0 line 617
  280. theorem OAI.SnakyPrototype.Certificate21.required_origin_489_i0 line 618
  281. theorem OAI.SnakyPrototype.Certificate21.required_exact_489_i0 line 620
  282. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_489_i0 line 624
  283. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_489_i0 line 626
  284. def OAI.SnakyPrototype.Certificate21.checked_489_i0 line 630
  285. def OAI.SnakyPrototype.Certificate21.height_489_i2 line 638
  286. def OAI.SnakyPrototype.Certificate21.childrenH_489_i2 line 639
  287. theorem OAI.SnakyPrototype.Certificate21.height_exact_489_i2 line 640
  288. theorem OAI.SnakyPrototype.Certificate21.required_origin_489_i2 line 641
  289. theorem OAI.SnakyPrototype.Certificate21.required_exact_489_i2 line 643
  290. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_489_i2 line 647
  291. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_489_i2 line 649
  292. def OAI.SnakyPrototype.Certificate21.checked_489_i2 line 653
  293. def OAI.SnakyPrototype.Certificate21.height_489 line 661
  294. def OAI.SnakyPrototype.Certificate21.childrenH_489 line 662
  295. theorem OAI.SnakyPrototype.Certificate21.height_exact_489 line 663
  296. theorem OAI.SnakyPrototype.Certificate21.required_origin_489 line 664
  297. theorem OAI.SnakyPrototype.Certificate21.required_exact_489 line 666
  298. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_489 line 670
  299. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_489 line 672
  300. def OAI.SnakyPrototype.Certificate21.checked_489 line 676
  301. def OAI.SnakyPrototype.Certificate21.height_543_i1 line 684
  302. def OAI.SnakyPrototype.Certificate21.childrenH_543_i1 line 685
  303. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i1 line 686
  304. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i1 line 687
  305. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i1 line 689
  306. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i1 line 693
  307. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i1 line 695
  308. def OAI.SnakyPrototype.Certificate21.checked_543_i1 line 699
  309. def OAI.SnakyPrototype.Certificate21.height_543_i6 line 707
  310. def OAI.SnakyPrototype.Certificate21.childrenH_543_i6 line 708
  311. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i6 line 709
  312. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i6 line 710
  313. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i6 line 712
  314. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i6 line 716
  315. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i6 line 718
  316. def OAI.SnakyPrototype.Certificate21.checked_543_i6 line 722
  317. def OAI.SnakyPrototype.Certificate21.height_543_i5 line 730
  318. def OAI.SnakyPrototype.Certificate21.childrenH_543_i5 line 731
  319. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i5 line 732
  320. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i5 line 733
  321. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i5 line 735
  322. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i5 line 739
  323. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i5 line 741
  324. def OAI.SnakyPrototype.Certificate21.checked_543_i5 line 745
  325. def OAI.SnakyPrototype.Certificate21.height_543_i4 line 753
  326. def OAI.SnakyPrototype.Certificate21.childrenH_543_i4 line 754
  327. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i4 line 755
  328. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i4 line 756
  329. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i4 line 758
  330. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i4 line 762
  331. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i4 line 764
  332. def OAI.SnakyPrototype.Certificate21.checked_543_i4 line 768
  333. def OAI.SnakyPrototype.Certificate21.height_543_i3 line 776
  334. def OAI.SnakyPrototype.Certificate21.childrenH_543_i3 line 777
  335. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i3 line 778
  336. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i3 line 779
  337. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i3 line 781
  338. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i3 line 785
  339. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i3 line 787
  340. def OAI.SnakyPrototype.Certificate21.checked_543_i3 line 791
  341. def OAI.SnakyPrototype.Certificate21.height_543_i2 line 799
  342. def OAI.SnakyPrototype.Certificate21.childrenH_543_i2 line 800
  343. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i2 line 801
  344. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i2 line 802
  345. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i2 line 804
  346. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i2 line 808
  347. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i2 line 810
  348. def OAI.SnakyPrototype.Certificate21.checked_543_i2 line 814
  349. def OAI.SnakyPrototype.Certificate21.height_543_i7 line 822
  350. def OAI.SnakyPrototype.Certificate21.childrenH_543_i7 line 823
  351. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i7 line 824
  352. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i7 line 825
  353. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i7 line 827
  354. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i7 line 831
  355. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i7 line 833
  356. def OAI.SnakyPrototype.Certificate21.checked_543_i7 line 837
  357. def OAI.SnakyPrototype.Certificate21.height_543_i8 line 845
  358. def OAI.SnakyPrototype.Certificate21.childrenH_543_i8 line 846
  359. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i8 line 847
  360. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i8 line 848
  361. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i8 line 850
  362. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i8 line 854
  363. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i8 line 856
  364. def OAI.SnakyPrototype.Certificate21.checked_543_i8 line 860
  365. def OAI.SnakyPrototype.Certificate21.height_543_i0 line 868
  366. def OAI.SnakyPrototype.Certificate21.childrenH_543_i0 line 869
  367. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i0 line 870
  368. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i0 line 871
  369. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i0 line 873
  370. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i0 line 877
  371. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i0 line 879
  372. def OAI.SnakyPrototype.Certificate21.checked_543_i0 line 883
  373. def OAI.SnakyPrototype.Certificate21.height_543_i10 line 891
  374. def OAI.SnakyPrototype.Certificate21.childrenH_543_i10 line 892
  375. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i10 line 893
  376. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i10 line 894
  377. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i10 line 896
  378. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i10 line 900
  379. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i10 line 902
  380. def OAI.SnakyPrototype.Certificate21.checked_543_i10 line 906
  381. def OAI.SnakyPrototype.Certificate21.height_543_i9 line 914
  382. def OAI.SnakyPrototype.Certificate21.childrenH_543_i9 line 915
  383. theorem OAI.SnakyPrototype.Certificate21.height_exact_543_i9 line 916
  384. theorem OAI.SnakyPrototype.Certificate21.required_origin_543_i9 line 917
  385. theorem OAI.SnakyPrototype.Certificate21.required_exact_543_i9 line 919
  386. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543_i9 line 923
  387. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543_i9 line 925
  388. def OAI.SnakyPrototype.Certificate21.checked_543_i9 line 929
  389. def OAI.SnakyPrototype.Certificate21.height_543 line 937
  390. def OAI.SnakyPrototype.Certificate21.childrenH_543 line 938
  391. theorem OAI.SnakyPrototype.Certificate21.height_exact_543 line 939
  392. theorem OAI.SnakyPrototype.Certificate21.required_origin_543 line 940
  393. theorem OAI.SnakyPrototype.Certificate21.required_exact_543 line 942
  394. theorem OAI.SnakyPrototype.Certificate21.envelope_origin_543 line 946
  395. theorem OAI.SnakyPrototype.Certificate21.envelope_exact_543 line 948
  396. def OAI.SnakyPrototype.Certificate21.checked_543 line 952