OAI/GameTheory/SnakyConditional/Templates/Level31Part02.lean
304 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.SnakyConditional.required_598line 7 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_4line 8 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_4_chainline 9 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_4_headline 10 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_4_lastline 11 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_5line 12 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_5_chainline 13 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_5_headline 14 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_5_lastline 15 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_3line 16 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_3_chainline 17 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_3_headline 20 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_3_lastline 22 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_7line 24 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_7_chainline 25 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_7_headline 26 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_7_lastline 27 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_8line 28 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_8_chainline 29 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_8_headline 30 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_8_lastline 31 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_6line 32 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_6_chainline 33 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_6_headline 36 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_6_lastline 38 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_2line 40 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_2_chainline 41 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_2_headline 44 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_2_lastline 46 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_11line 48 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_11_chainline 49 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_11_headline 50 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_11_lastline 51 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_12line 52 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_12_chainline 53 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_12_headline 54 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_12_lastline 55 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_10line 56 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_10_chainline 57 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_10_headline 60 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_10_lastline 62 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_14line 64 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_14_chainline 65 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_14_headline 66 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_14_lastline 67 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_15line 68 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_15_chainline 69 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_15_headline 70 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_15_lastline 71 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_13line 72 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_13_chainline 73 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_13_headline 76 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_13_lastline 78 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_9line 80 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_9_chainline 81 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_9_headline 84 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_9_lastline 86 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_1line 88 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_1_chainline 89 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_1_headline 92 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_1_lastline 94 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_19line 96 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_19_chainline 97 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_19_headline 98 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_19_lastline 99 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_20line 100 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_20_chainline 101 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_20_headline 102 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_20_lastline 103 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_18line 104 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_18_chainline 105 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_18_headline 108 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_18_lastline 110 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_22line 112 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_22_chainline 113 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_22_headline 114 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_22_lastline 115 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_23line 116 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_23_chainline 117 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_23_headline 118 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_23_lastline 119 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_21line 120 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_21_chainline 121 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_21_headline 124 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_21_lastline 126 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_17line 128 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_17_chainline 129 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_17_headline 132 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_17_lastline 134 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_26line 136 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_26_chainline 137 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_26_headline 138 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_26_lastline 139 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_27line 140 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_27_chainline 141 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_27_headline 142 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_27_lastline 143 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_25line 144 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_25_chainline 145 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_25_headline 148 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_25_lastline 150 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_29line 152 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_29_chainline 153 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_29_headline 154 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_29_lastline 155 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_30line 156 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_30_chainline 157 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_30_headline 158 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_30_lastline 159 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_28line 160 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_28_chainline 161 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_28_headline 164 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_28_lastline 166 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_24line 168 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_24_chainline 169 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_24_headline 172 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_24_lastline 174 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_16line 176 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_16_chainline 177 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_16_headline 180 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_16_lastline 182 - def
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_0line 184 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_0_chainline 185 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_0_headline 188 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_0_lastline 190 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.named_envelope_598_nodupline 192 - def
OAI.SnakyConditional.envelope_598line 194 - def
OAI.SnakyConditional.childrenC_598line 195 - def
OAI.SnakyConditional.childrenD_598line 196 - theorem
OAI.SnakyConditional.common_sub_598line 197 - theorem
OAI.SnakyConditional.child_required_sub_598line 198 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.containment_598_0line 199 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.containment_598_1line 201 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.containment_598_2line 203 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.containment_598_3line 205 - theorem
OAI.SnakyConditional.Internal.SnakyRows011C.containment_598_4line 207 - theorem
OAI.SnakyConditional.child_envelope_sub_598line 209 - theorem
OAI.SnakyConditional.pivot_mem_598line 217 - theorem
OAI.SnakyConditional.children_work_598line 218 - theorem
OAI.SnakyConditional.row_works_598line 226 - def
OAI.SnakyConditional.required_600line 230 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_4line 231 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_4_chainline 232 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_4_headline 233 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_4_lastline 234 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_5line 235 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_5_chainline 236 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_5_headline 237 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_5_lastline 238 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_3line 239 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_3_chainline 240 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_3_headline 243 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_3_lastline 245 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_7line 247 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_7_chainline 248 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_7_headline 249 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_7_lastline 250 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_8line 251 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_8_chainline 252 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_8_headline 253 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_8_lastline 254 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_6line 255 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_6_chainline 256 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_6_headline 259 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_6_lastline 261 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_2line 263 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_2_chainline 264 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_2_headline 267 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_2_lastline 269 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_11line 271 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_11_chainline 272 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_11_headline 273 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_11_lastline 274 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_12line 275 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_12_chainline 276 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_12_headline 277 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_12_lastline 278 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_10line 279 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_10_chainline 280 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_10_headline 283 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_10_lastline 285 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_14line 287 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_14_chainline 288 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_14_headline 289 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_14_lastline 290 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_16line 291 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_16_chainline 292 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_16_headline 293 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_16_lastline 294 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_17line 295 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_17_chainline 296 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_17_headline 297 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_17_lastline 298 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_15line 299 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_15_chainline 300 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_15_headline 303 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_15_lastline 305 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_13line 307 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_13_chainline 308 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_13_headline 311 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_13_lastline 313 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_9line 315 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_9_chainline 316 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_9_headline 319 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_9_lastline 321 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_1line 323 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_1_chainline 324 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_1_headline 327 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_1_lastline 329 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_21line 331 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_21_chainline 332 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_21_headline 333 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_21_lastline 334 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_22line 335 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_22_chainline 336 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_22_headline 337 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_22_lastline 338 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_20line 339 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_20_chainline 340 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_20_headline 343 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_20_lastline 345 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_24line 347 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_24_chainline 348 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_24_headline 349 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_24_lastline 350 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_26line 351 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_26_chainline 352 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_26_headline 353 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_26_lastline 354 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_27line 355 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_27_chainline 356 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_27_headline 357 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_27_lastline 358 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_25line 359 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_25_chainline 360 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_25_headline 363 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_25_lastline 365 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_23line 367 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_23_chainline 368 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_23_headline 371 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_23_lastline 373 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_19line 375 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_19_chainline 376 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_19_headline 379 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_19_lastline 381 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_30line 383 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_30_chainline 384 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_30_headline 385 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_30_lastline 386 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_31line 387 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_31_chainline 388 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_31_headline 389 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_31_lastline 390 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_29line 391 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_29_chainline 392 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_29_headline 395 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_29_lastline 397 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_33line 399 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_33_chainline 400 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_33_headline 401 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_33_lastline 402 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_35line 403 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_35_chainline 404 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_35_headline 405 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_35_lastline 406 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_36line 407 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_36_chainline 408 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_36_headline 409 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_36_lastline 410 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_34line 411 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_34_chainline 412 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_34_headline 415 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_34_lastline 417 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_32line 419 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_32_chainline 420 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_32_headline 423 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_32_lastline 425 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_28line 427 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_28_chainline 428 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_28_headline 431 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_28_lastline 433 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_18line 435 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_18_chainline 436 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_18_headline 439 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_18_lastline 441 - def
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_0line 443 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_0_chainline 444 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_0_headline 447 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_0_lastline 449 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.named_envelope_600_nodupline 451 - def
OAI.SnakyConditional.envelope_600line 453 - def
OAI.SnakyConditional.childrenC_600line 454 - def
OAI.SnakyConditional.childrenD_600line 455 - theorem
OAI.SnakyConditional.common_sub_600line 456 - theorem
OAI.SnakyConditional.child_required_sub_600line 457 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.containment_600_0line 458 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.containment_600_1line 460 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.containment_600_2line 462 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.containment_600_3line 464 - theorem
OAI.SnakyConditional.Internal.SnakyRows011E.containment_600_4line 466 - theorem
OAI.SnakyConditional.child_envelope_sub_600line 468 - theorem
OAI.SnakyConditional.pivot_mem_600line 476 - theorem
OAI.SnakyConditional.children_work_600line 477 - theorem
OAI.SnakyConditional.row_works_600line 485