OAI/GameTheory/SnakyConditional/Templates/Level24Part04.lean

GitHub source file

282 declarations, 0 contain sorry, 0 declared as axioms

1. def OAI.SnakyConditional.required_584 line 8
2. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_4 line 9
3. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_4_chain line 10
4. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_4_head line 11
5. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_4_last line 12
6. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_5 line 13
7. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_5_chain line 14
8. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_5_head line 15
9. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_5_last line 16
10. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_3 line 17
11. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_3_chain line 18
12. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_3_head line 21
13. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_3_last line 23
14. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_7 line 25
15. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_7_chain line 26
16. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_7_head line 27
17. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_7_last line 28
18. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_8 line 29
19. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_8_chain line 30
20. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_8_head line 31
21. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_8_last line 32
22. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_6 line 33
23. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_6_chain line 34
24. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_6_head line 37
25. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_6_last line 39
26. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_2 line 41
27. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_2_chain line 42
28. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_2_head line 45
29. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_2_last line 47
30. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_11 line 49
31. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_11_chain line 50
32. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_11_head line 51
33. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_11_last line 52
34. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_12 line 53
35. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_12_chain line 54
36. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_12_head line 55
37. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_12_last line 56
38. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_10 line 57
39. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_10_chain line 58
40. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_10_head line 61
41. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_10_last line 63
42. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_14 line 65
43. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_14_chain line 66
44. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_14_head line 67
45. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_14_last line 68
46. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_15 line 69
47. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_15_chain line 70
48. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_15_head line 71
49. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_15_last line 72
50. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_13 line 73
51. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_13_chain line 74
52. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_13_head line 77
53. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_13_last line 79
54. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_9 line 81
55. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_9_chain line 82
56. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_9_head line 85
57. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_9_last line 87
58. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_1 line 89
59. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_1_chain line 90
60. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_1_head line 93
61. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_1_last line 95
62. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_19 line 97
63. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_19_chain line 98
64. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_19_head line 99
65. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_19_last line 100
66. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_20 line 101
67. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_20_chain line 102
68. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_20_head line 103
69. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_20_last line 104
70. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_18 line 105
71. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_18_chain line 106
72. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_18_head line 109
73. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_18_last line 111
74. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_22 line 113
75. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_22_chain line 114
76. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_22_head line 115
77. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_22_last line 116
78. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_23 line 117
79. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_23_chain line 118
80. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_23_head line 119
81. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_23_last line 120
82. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_21 line 121
83. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_21_chain line 122
84. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_21_head line 125
85. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_21_last line 127
86. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_17 line 129
87. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_17_chain line 130
88. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_17_head line 133
89. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_17_last line 135
90. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_26 line 137
91. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_26_chain line 138
92. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_26_head line 139
93. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_26_last line 140
94. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_27 line 141
95. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_27_chain line 142
96. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_27_head line 143
97. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_27_last line 144
98. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_25 line 145
99. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_25_chain line 146
100. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_25_head line 149
101. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_25_last line 151
102. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_29 line 153
103. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_29_chain line 154
104. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_29_head line 155
105. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_29_last line 156
106. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_30 line 157
107. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_30_chain line 158
108. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_30_head line 159
109. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_30_last line 160
110. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_28 line 161
111. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_28_chain line 162
112. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_28_head line 165
113. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_28_last line 167
114. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_24 line 169
115. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_24_chain line 170
116. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_24_head line 173
117. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_24_last line 175
118. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_16 line 177
119. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_16_chain line 178
120. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_16_head line 181
121. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_16_last line 183
122. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_0 line 185
123. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_0_chain line 186
124. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_0_head line 189
125. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_0_last line 191
126. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_584_nodup line 193
127. def OAI.SnakyConditional.envelope_584 line 195
128. def OAI.SnakyConditional.childrenC_584 line 196
129. def OAI.SnakyConditional.childrenD_584 line 197
130. theorem OAI.SnakyConditional.common_sub_584 line 198
131. theorem OAI.SnakyConditional.child_required_sub_584 line 199
132. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_584_0 line 200
133. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_584_1 line 202
134. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_584_2 line 204
135. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_584_3 line 206
136. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_584_4 line 208
137. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_584_5 line 210
138. theorem OAI.SnakyConditional.child_envelope_sub_584 line 212
139. theorem OAI.SnakyConditional.pivot_mem_584 line 221
140. theorem OAI.SnakyConditional.children_work_584 line 222
141. theorem OAI.SnakyConditional.row_works_584 line 231
142. def OAI.SnakyConditional.required_585 line 235
143. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_4 line 236
144. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_4_chain line 237
145. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_4_head line 238
146. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_4_last line 239
147. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_5 line 240
148. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_5_chain line 241
149. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_5_head line 242
150. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_5_last line 243
151. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_3 line 244
152. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_3_chain line 245
153. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_3_head line 248
154. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_3_last line 250
155. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_7 line 252
156. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_7_chain line 253
157. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_7_head line 254
158. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_7_last line 255
159. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_8 line 256
160. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_8_chain line 257
161. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_8_head line 258
162. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_8_last line 259
163. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_6 line 260
164. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_6_chain line 261
165. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_6_head line 264
166. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_6_last line 266
167. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_2 line 268
168. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_2_chain line 269
169. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_2_head line 272
170. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_2_last line 274
171. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_11 line 276
172. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_11_chain line 277
173. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_11_head line 278
174. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_11_last line 279
175. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_12 line 280
176. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_12_chain line 281
177. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_12_head line 282
178. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_12_last line 283
179. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_10 line 284
180. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_10_chain line 285
181. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_10_head line 288
182. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_10_last line 290
183. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_14 line 292
184. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_14_chain line 293
185. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_14_head line 294
186. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_14_last line 295
187. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_15 line 296
188. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_15_chain line 297
189. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_15_head line 298
190. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_15_last line 299
191. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_13 line 300
192. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_13_chain line 301
193. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_13_head line 304
194. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_13_last line 306
195. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_9 line 308
196. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_9_chain line 309
197. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_9_head line 312
198. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_9_last line 314
199. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_1 line 316
200. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_1_chain line 317
201. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_1_head line 320
202. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_1_last line 322
203. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_19 line 324
204. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_19_chain line 325
205. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_19_head line 326
206. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_19_last line 327
207. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_20 line 328
208. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_20_chain line 329
209. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_20_head line 330
210. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_20_last line 331
211. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_18 line 332
212. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_18_chain line 333
213. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_18_head line 336
214. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_18_last line 338
215. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_22 line 340
216. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_22_chain line 341
217. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_22_head line 342
218. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_22_last line 343
219. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_23 line 344
220. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_23_chain line 345
221. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_23_head line 346
222. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_23_last line 347
223. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_21 line 348
224. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_21_chain line 349
225. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_21_head line 352
226. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_21_last line 354
227. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_17 line 356
228. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_17_chain line 357
229. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_17_head line 360
230. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_17_last line 362
231. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_26 line 364
232. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_26_chain line 365
233. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_26_head line 366
234. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_26_last line 367
235. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_27 line 368
236. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_27_chain line 369
237. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_27_head line 370
238. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_27_last line 371
239. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_25 line 372
240. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_25_chain line 373
241. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_25_head line 376
242. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_25_last line 378
243. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_29 line 380
244. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_29_chain line 381
245. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_29_head line 382
246. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_29_last line 383
247. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_30 line 384
248. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_30_chain line 385
249. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_30_head line 386
250. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_30_last line 387
251. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_28 line 388
252. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_28_chain line 389
253. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_28_head line 392
254. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_28_last line 394
255. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_24 line 396
256. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_24_chain line 397
257. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_24_head line 400
258. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_24_last line 402
259. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_16 line 404
260. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_16_chain line 405
261. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_16_head line 408
262. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_16_last line 410
263. def OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_0 line 412
264. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_0_chain line 413
265. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_0_head line 416
266. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_0_last line 418
267. theorem OAI.SnakyConditional.Internal.SnakyRows009.named_envelope_585_nodup line 420
268. def OAI.SnakyConditional.envelope_585 line 422
269. def OAI.SnakyConditional.childrenC_585 line 423
270. def OAI.SnakyConditional.childrenD_585 line 424
271. theorem OAI.SnakyConditional.common_sub_585 line 425
272. theorem OAI.SnakyConditional.child_required_sub_585 line 426
273. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_585_0 line 427
274. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_585_1 line 429
275. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_585_2 line 431
276. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_585_3 line 433
277. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_585_4 line 435
278. theorem OAI.SnakyConditional.Internal.SnakyRows009.containment_585_5 line 437
279. theorem OAI.SnakyConditional.child_envelope_sub_585 line 439
280. theorem OAI.SnakyConditional.pivot_mem_585 line 448
281. theorem OAI.SnakyConditional.children_work_585 line 449
282. theorem OAI.SnakyConditional.row_works_585 line 458