| Step |
Hyp |
Ref |
Expression |
| 1 |
|
elrgspn.b |
|
| 2 |
|
elrgspn.m |
|
| 3 |
|
elrgspn.x |
|
| 4 |
|
elrgspn.n |
|
| 5 |
|
elrgspn.f |
|
| 6 |
|
elrgspn.r |
|
| 7 |
|
elrgspn.a |
|
| 8 |
|
elrgspnlem1.1 |
|
| 9 |
1 2 3 4 5 6 7 8
|
elrgspnlem1 |
|
| 10 |
|
eqeq2 |
|
| 11 |
|
eqeq2 |
|
| 12 |
|
simpr |
|
| 13 |
12
|
fveq2d |
|
| 14 |
|
eqid |
|
| 15 |
|
simpr |
|
| 16 |
15
|
iftrued |
|
| 17 |
|
wrd0 |
|
| 18 |
17
|
a1i |
|
| 19 |
|
1zzd |
|
| 20 |
14 16 18 19
|
fvmptd2 |
|
| 21 |
20
|
ad2antrr |
|
| 22 |
13 21
|
eqtrd |
|
| 23 |
12
|
oveq2d |
|
| 24 |
|
eqid |
|
| 25 |
2 24
|
ringidval |
|
| 26 |
25
|
gsum0 |
|
| 27 |
23 26
|
eqtrdi |
|
| 28 |
22 27
|
oveq12d |
|
| 29 |
1 24
|
ringidcl |
|
| 30 |
6 29
|
syl |
|
| 31 |
1 3
|
mulg1 |
|
| 32 |
30 31
|
syl |
|
| 33 |
32
|
ad2antrr |
|
| 34 |
28 33
|
eqtrd |
|
| 35 |
|
eqeq1 |
|
| 36 |
35
|
notbid |
|
| 37 |
36
|
biimparc |
|
| 38 |
37
|
adantll |
|
| 39 |
38
|
iffalsed |
|
| 40 |
|
simplr |
|
| 41 |
|
0zd |
|
| 42 |
14 39 40 41
|
fvmptd2 |
|
| 43 |
42
|
oveq1d |
|
| 44 |
2
|
ringmgp |
|
| 45 |
6 44
|
syl |
|
| 46 |
|
sswrd |
|
| 47 |
7 46
|
syl |
|
| 48 |
47
|
sselda |
|
| 49 |
2 1
|
mgpbas |
|
| 50 |
49
|
gsumwcl |
|
| 51 |
45 48 50
|
syl2an2r |
|
| 52 |
|
eqid |
|
| 53 |
1 52 3
|
mulg0 |
|
| 54 |
51 53
|
syl |
|
| 55 |
54
|
adantr |
|
| 56 |
43 55
|
eqtrd |
|
| 57 |
10 11 34 56
|
ifbothda |
|
| 58 |
57
|
mpteq2dva |
|
| 59 |
58
|
oveq2d |
|
| 60 |
6
|
ringcmnd |
|
| 61 |
60
|
cmnmndd |
|
| 62 |
1
|
fvexi |
|
| 63 |
62
|
a1i |
|
| 64 |
63 7
|
ssexd |
|
| 65 |
|
wrdexg |
|
| 66 |
64 65
|
syl |
|
| 67 |
|
eqid |
|
| 68 |
30 1
|
eleqtrdi |
|
| 69 |
52 61 66 18 67 68
|
gsummptif1n0 |
|
| 70 |
59 69
|
eqtrd |
|
| 71 |
|
eqid |
|
| 72 |
|
fveq1 |
|
| 73 |
72
|
oveq1d |
|
| 74 |
73
|
mpteq2dv |
|
| 75 |
74
|
oveq2d |
|
| 76 |
75
|
eqeq2d |
|
| 77 |
|
breq1 |
|
| 78 |
|
zex |
|
| 79 |
78
|
a1i |
|
| 80 |
|
1zzd |
|
| 81 |
|
0zd |
|
| 82 |
80 81
|
ifclda |
|
| 83 |
82
|
fmpttd |
|
| 84 |
79 66 83
|
elmapdd |
|
| 85 |
66
|
mptexd |
|
| 86 |
83
|
ffund |
|
| 87 |
|
0zd |
|
| 88 |
|
snfi |
|
| 89 |
88
|
a1i |
|
| 90 |
|
eldifsni |
|
| 91 |
90
|
adantl |
|
| 92 |
91
|
neneqd |
|
| 93 |
92
|
iffalsed |
|
| 94 |
93 66
|
suppss2 |
|
| 95 |
|
suppssfifsupp |
|
| 96 |
85 86 87 89 94 95
|
syl32anc |
|
| 97 |
77 84 96
|
elrabd |
|
| 98 |
97 5
|
eleqtrrdi |
|
| 99 |
|
eqidd |
|
| 100 |
76 98 99
|
rspcedvdw |
|
| 101 |
|
ovexd |
|
| 102 |
71 100 101
|
elrnmptd |
|
| 103 |
102 8
|
eleqtrrdi |
|
| 104 |
70 103
|
eqeltrrd |
|
| 105 |
|
simpllr |
|
| 106 |
|
simpr |
|
| 107 |
105 106
|
oveq12d |
|
| 108 |
|
eqid |
|
| 109 |
66
|
ad2antrr |
|
| 110 |
6
|
ad2antrr |
|
| 111 |
6
|
ringgrpd |
|
| 112 |
111
|
ad2antrr |
|
| 113 |
5
|
ssrab3 |
|
| 114 |
113
|
a1i |
|
| 115 |
114
|
sselda |
|
| 116 |
79 66
|
elmapd |
|
| 117 |
116
|
adantr |
|
| 118 |
115 117
|
mpbid |
|
| 119 |
118
|
ffvelcdmda |
|
| 120 |
51
|
adantlr |
|
| 121 |
1 3 112 119 120
|
mulgcld |
|
| 122 |
121
|
adantlr |
|
| 123 |
122
|
ralrimiva |
|
| 124 |
|
fveq2 |
|
| 125 |
|
oveq2 |
|
| 126 |
124 125
|
oveq12d |
|
| 127 |
126
|
eleq1d |
|
| 128 |
127
|
cbvralvw |
|
| 129 |
123 128
|
sylibr |
|
| 130 |
129
|
r19.21bi |
|
| 131 |
111
|
ad2antrr |
|
| 132 |
|
breq1 |
|
| 133 |
132 5
|
elrab2 |
|
| 134 |
133
|
simplbi |
|
| 135 |
134
|
adantl |
|
| 136 |
79 66
|
elmapd |
|
| 137 |
136
|
adantr |
|
| 138 |
135 137
|
mpbid |
|
| 139 |
138
|
ffvelcdmda |
|
| 140 |
51
|
adantlr |
|
| 141 |
1 3 131 139 140
|
mulgcld |
|
| 142 |
141
|
adantllr |
|
| 143 |
142
|
ralrimiva |
|
| 144 |
|
fveq2 |
|
| 145 |
|
oveq2 |
|
| 146 |
144 145
|
oveq12d |
|
| 147 |
146
|
eleq1d |
|
| 148 |
147
|
cbvralvw |
|
| 149 |
143 148
|
sylibr |
|
| 150 |
149
|
r19.21bi |
|
| 151 |
126
|
cbvmptv |
|
| 152 |
|
fvexd |
|
| 153 |
|
0zd |
|
| 154 |
66
|
adantr |
|
| 155 |
|
ssidd |
|
| 156 |
|
breq1 |
|
| 157 |
156 5
|
elrab2 |
|
| 158 |
157
|
simprbi |
|
| 159 |
158
|
adantl |
|
| 160 |
1 52 3
|
mulg0 |
|
| 161 |
160
|
adantl |
|
| 162 |
152 153 154 155 120 118 159 161
|
fisuppov1 |
|
| 163 |
162
|
adantr |
|
| 164 |
151 163
|
eqbrtrid |
|
| 165 |
146
|
cbvmptv |
|
| 166 |
162
|
ralrimiva |
|
| 167 |
|
fveq1 |
|
| 168 |
167
|
oveq1d |
|
| 169 |
168
|
mpteq2dv |
|
| 170 |
169
|
breq1d |
|
| 171 |
170
|
cbvralvw |
|
| 172 |
166 171
|
sylib |
|
| 173 |
172
|
r19.21bi |
|
| 174 |
173
|
adantlr |
|
| 175 |
165 174
|
eqbrtrid |
|
| 176 |
1 108 52 109 109 110 130 150 164 175
|
gsumdixp |
|
| 177 |
151
|
oveq2i |
|
| 178 |
165
|
oveq2i |
|
| 179 |
177 178
|
oveq12i |
|
| 180 |
179
|
a1i |
|
| 181 |
110
|
ad2antrr |
|
| 182 |
122
|
adantr |
|
| 183 |
111
|
ad4antr |
|
| 184 |
138
|
adantlr |
|
| 185 |
184
|
ffvelcdmda |
|
| 186 |
185
|
adantlr |
|
| 187 |
45
|
ad4antr |
|
| 188 |
47
|
adantr |
|
| 189 |
188
|
ad2antrr |
|
| 190 |
189
|
sselda |
|
| 191 |
49
|
gsumwcl |
|
| 192 |
187 190 191
|
syl2anc |
|
| 193 |
1 3 183 186 192
|
mulgcld |
|
| 194 |
1 108 181 182 193
|
ringcld |
|
| 195 |
194
|
anasss |
|
| 196 |
195
|
ralrimivva |
|
| 197 |
|
eqid |
|
| 198 |
197
|
fmpo |
|
| 199 |
196 198
|
sylib |
|
| 200 |
|
vex |
|
| 201 |
|
vex |
|
| 202 |
200 201
|
op1std |
|
| 203 |
202
|
fveq2d |
|
| 204 |
202
|
oveq2d |
|
| 205 |
203 204
|
oveq12d |
|
| 206 |
200 201
|
op2ndd |
|
| 207 |
206
|
fveq2d |
|
| 208 |
206
|
oveq2d |
|
| 209 |
207 208
|
oveq12d |
|
| 210 |
205 209
|
oveq12d |
|
| 211 |
210
|
mpompt |
|
| 212 |
66 66
|
xpexd |
|
| 213 |
212
|
ad2antrr |
|
| 214 |
213
|
mptexd |
|
| 215 |
|
fvexd |
|
| 216 |
110
|
adantr |
|
| 217 |
111
|
ad3antrrr |
|
| 218 |
118
|
ad2antrr |
|
| 219 |
|
xp1st |
|
| 220 |
219
|
adantl |
|
| 221 |
218 220
|
ffvelcdmd |
|
| 222 |
216 44
|
syl |
|
| 223 |
188
|
ad2antrr |
|
| 224 |
223 220
|
sseldd |
|
| 225 |
49
|
gsumwcl |
|
| 226 |
222 224 225
|
syl2anc |
|
| 227 |
1 3 217 221 226
|
mulgcld |
|
| 228 |
184
|
adantr |
|
| 229 |
|
xp2nd |
|
| 230 |
229
|
adantl |
|
| 231 |
228 230
|
ffvelcdmd |
|
| 232 |
223 230
|
sseldd |
|
| 233 |
49
|
gsumwcl |
|
| 234 |
222 232 233
|
syl2anc |
|
| 235 |
1 3 217 231 234
|
mulgcld |
|
| 236 |
1 108 216 227 235
|
ringcld |
|
| 237 |
236
|
fmpttd |
|
| 238 |
237
|
ffund |
|
| 239 |
159
|
fsuppimpd |
|
| 240 |
133
|
simprbi |
|
| 241 |
240
|
adantl |
|
| 242 |
241
|
fsuppimpd |
|
| 243 |
|
xpfi |
|
| 244 |
239 242 243
|
syl2an2r |
|
| 245 |
118
|
ffnd |
|
| 246 |
245
|
adantr |
|
| 247 |
246
|
ad2antrr |
|
| 248 |
109
|
ad2antrr |
|
| 249 |
|
0zd |
|
| 250 |
|
xp1st |
|
| 251 |
250
|
adantl |
|
| 252 |
247 248 249 251
|
fvdifsupp |
|
| 253 |
252
|
oveq1d |
|
| 254 |
45
|
ad4antr |
|
| 255 |
188
|
ad3antrrr |
|
| 256 |
251
|
eldifad |
|
| 257 |
255 256
|
sseldd |
|
| 258 |
254 257 225
|
syl2anc |
|
| 259 |
1 52 3
|
mulg0 |
|
| 260 |
258 259
|
syl |
|
| 261 |
253 260
|
eqtrd |
|
| 262 |
261
|
oveq1d |
|
| 263 |
110
|
ad2antrr |
|
| 264 |
111
|
ad4antr |
|
| 265 |
184
|
ad2antrr |
|
| 266 |
|
xp2nd |
|
| 267 |
266
|
adantl |
|
| 268 |
265 267
|
ffvelcdmd |
|
| 269 |
255 267
|
sseldd |
|
| 270 |
254 269 233
|
syl2anc |
|
| 271 |
1 3 264 268 270
|
mulgcld |
|
| 272 |
1 108 52 263 271
|
ringlzd |
|
| 273 |
262 272
|
eqtrd |
|
| 274 |
138
|
ffnd |
|
| 275 |
274
|
adantlr |
|
| 276 |
275
|
ad2antrr |
|
| 277 |
109
|
ad2antrr |
|
| 278 |
|
0zd |
|
| 279 |
|
xp2nd |
|
| 280 |
279
|
adantl |
|
| 281 |
276 277 278 280
|
fvdifsupp |
|
| 282 |
281
|
oveq1d |
|
| 283 |
45
|
ad4antr |
|
| 284 |
188
|
ad3antrrr |
|
| 285 |
280
|
eldifad |
|
| 286 |
284 285
|
sseldd |
|
| 287 |
283 286 233
|
syl2anc |
|
| 288 |
1 52 3
|
mulg0 |
|
| 289 |
287 288
|
syl |
|
| 290 |
282 289
|
eqtrd |
|
| 291 |
290
|
oveq2d |
|
| 292 |
110
|
ad2antrr |
|
| 293 |
111
|
ad4antr |
|
| 294 |
118
|
adantr |
|
| 295 |
294
|
ad2antrr |
|
| 296 |
|
xp1st |
|
| 297 |
296
|
adantl |
|
| 298 |
295 297
|
ffvelcdmd |
|
| 299 |
284 297
|
sseldd |
|
| 300 |
283 299 225
|
syl2anc |
|
| 301 |
1 3 293 298 300
|
mulgcld |
|
| 302 |
1 108 52 292 301
|
ringrzd |
|
| 303 |
291 302
|
eqtrd |
|
| 304 |
|
simpr |
|
| 305 |
|
difxp |
|
| 306 |
304 305
|
eleqtrdi |
|
| 307 |
|
elun |
|
| 308 |
306 307
|
sylib |
|
| 309 |
273 303 308
|
mpjaodan |
|
| 310 |
309 213
|
suppss2 |
|
| 311 |
244 310
|
ssfid |
|
| 312 |
214 215 238 311
|
isfsuppd |
|
| 313 |
211 312
|
eqbrtrrid |
|
| 314 |
60
|
ad2antrr |
|
| 315 |
7
|
ad2antrr |
|
| 316 |
1 52 199 313 314 315
|
gsumwrd2dccat |
|
| 317 |
126
|
oveq1d |
|
| 318 |
|
fveq2 |
|
| 319 |
|
oveq2 |
|
| 320 |
318 319
|
oveq12d |
|
| 321 |
320
|
oveq2d |
|
| 322 |
317 321
|
cbvmpov |
|
| 323 |
322
|
oveq2i |
|
| 324 |
323
|
a1i |
|
| 325 |
|
pfxcctswrd |
|
| 326 |
325
|
adantll |
|
| 327 |
326
|
oveq2d |
|
| 328 |
327
|
oveq2d |
|
| 329 |
328
|
mpteq2dva |
|
| 330 |
329
|
oveq2d |
|
| 331 |
|
df-ov |
|
| 332 |
188
|
sselda |
|
| 333 |
332
|
ad4ant13 |
|
| 334 |
187 333 50
|
syl2anc |
|
| 335 |
1 3 108
|
mulgass3 |
|
| 336 |
181 186 334 192 335
|
syl13anc |
|
| 337 |
336
|
oveq2d |
|
| 338 |
119
|
ad4ant13 |
|
| 339 |
1 3 108
|
mulgass2 |
|
| 340 |
181 338 334 193 339
|
syl13anc |
|
| 341 |
1 108 181 334 192
|
ringcld |
|
| 342 |
1 3
|
mulgass |
|
| 343 |
183 338 186 341 342
|
syl13anc |
|
| 344 |
337 340 343
|
3eqtr4d |
|
| 345 |
2 108
|
mgpplusg |
|
| 346 |
49 345
|
gsumccat |
|
| 347 |
187 333 190 346
|
syl3anc |
|
| 348 |
347
|
oveq2d |
|
| 349 |
344 348
|
eqtr4d |
|
| 350 |
349
|
adantllr |
|
| 351 |
350
|
adantllr |
|
| 352 |
351
|
3impa |
|
| 353 |
352
|
mpoeq3dva |
|
| 354 |
|
fveq2 |
|
| 355 |
|
fveq2 |
|
| 356 |
354 355
|
oveqan12d |
|
| 357 |
|
oveq12 |
|
| 358 |
357
|
oveq2d |
|
| 359 |
356 358
|
oveq12d |
|
| 360 |
359
|
adantl |
|
| 361 |
|
pfxcl |
|
| 362 |
361
|
ad2antlr |
|
| 363 |
|
swrdcl |
|
| 364 |
363
|
ad2antlr |
|
| 365 |
|
ovexd |
|
| 366 |
353 360 362 364 365
|
ovmpod |
|
| 367 |
331 366
|
eqtr3id |
|
| 368 |
367
|
mpteq2dva |
|
| 369 |
368
|
oveq2d |
|
| 370 |
|
eqid |
|
| 371 |
|
fveq2 |
|
| 372 |
371
|
oveq2d |
|
| 373 |
|
fvoveq1 |
|
| 374 |
|
id |
|
| 375 |
371
|
opeq2d |
|
| 376 |
374 375
|
oveq12d |
|
| 377 |
376
|
fveq2d |
|
| 378 |
373 377
|
oveq12d |
|
| 379 |
378
|
adantr |
|
| 380 |
372 379
|
sumeq12dv |
|
| 381 |
|
simpr |
|
| 382 |
|
fzfid |
|
| 383 |
294
|
ad2antrr |
|
| 384 |
383 362
|
ffvelcdmd |
|
| 385 |
184
|
ad2antrr |
|
| 386 |
385 364
|
ffvelcdmd |
|
| 387 |
384 386
|
zmulcld |
|
| 388 |
387
|
zcnd |
|
| 389 |
382 388
|
fsumcl |
|
| 390 |
370 380 381 389
|
fvmptd3 |
|
| 391 |
390
|
oveq1d |
|
| 392 |
111
|
ad3antrrr |
|
| 393 |
45
|
ad3antrrr |
|
| 394 |
315 46
|
syl |
|
| 395 |
394
|
sselda |
|
| 396 |
49
|
gsumwcl |
|
| 397 |
393 395 396
|
syl2anc |
|
| 398 |
1 3 392 382 397 387
|
gsummulgc2 |
|
| 399 |
391 398
|
eqtr4d |
|
| 400 |
330 369 399
|
3eqtr4rd |
|
| 401 |
400
|
mpteq2dva |
|
| 402 |
401
|
oveq2d |
|
| 403 |
316 324 402
|
3eqtr4d |
|
| 404 |
176 180 403
|
3eqtr3d |
|
| 405 |
|
fveq1 |
|
| 406 |
405
|
oveq1d |
|
| 407 |
406
|
mpteq2dv |
|
| 408 |
407
|
oveq2d |
|
| 409 |
408
|
cbvmptv |
|
| 410 |
|
fveq1 |
|
| 411 |
410
|
oveq1d |
|
| 412 |
411
|
mpteq2dv |
|
| 413 |
412
|
oveq2d |
|
| 414 |
413
|
eqeq2d |
|
| 415 |
|
breq1 |
|
| 416 |
78
|
a1i |
|
| 417 |
|
fzfid |
|
| 418 |
294
|
ad2antrr |
|
| 419 |
|
pfxcl |
|
| 420 |
419
|
ad2antlr |
|
| 421 |
418 420
|
ffvelcdmd |
|
| 422 |
184
|
ad2antrr |
|
| 423 |
|
swrdcl |
|
| 424 |
423
|
ad2antlr |
|
| 425 |
422 424
|
ffvelcdmd |
|
| 426 |
421 425
|
zmulcld |
|
| 427 |
417 426
|
fsumzcl |
|
| 428 |
427
|
fmpttd |
|
| 429 |
416 109 428
|
elmapdd |
|
| 430 |
|
0zd |
|
| 431 |
428
|
ffund |
|
| 432 |
|
ccatfn |
|
| 433 |
|
fnfun |
|
| 434 |
432 433
|
ax-mp |
|
| 435 |
|
imafi |
|
| 436 |
434 244 435
|
sylancr |
|
| 437 |
|
fveq2 |
|
| 438 |
437
|
oveq2d |
|
| 439 |
|
fvoveq1 |
|
| 440 |
|
id |
|
| 441 |
437
|
opeq2d |
|
| 442 |
440 441
|
oveq12d |
|
| 443 |
442
|
fveq2d |
|
| 444 |
439 443
|
oveq12d |
|
| 445 |
444
|
adantr |
|
| 446 |
438 445
|
sumeq12dv |
|
| 447 |
|
oveq1 |
|
| 448 |
447
|
eqeq2d |
|
| 449 |
|
oveq2 |
|
| 450 |
449
|
eqeq2d |
|
| 451 |
246
|
ad4antr |
|
| 452 |
109
|
ad4antr |
|
| 453 |
|
0zd |
|
| 454 |
|
simpr |
|
| 455 |
454
|
eldifad |
|
| 456 |
455
|
adantr |
|
| 457 |
|
pfxcl |
|
| 458 |
456 457
|
syl |
|
| 459 |
458
|
ad2antrr |
|
| 460 |
|
simplr |
|
| 461 |
451 452 453 459 460
|
elsuppfnd |
|
| 462 |
275
|
ad4antr |
|
| 463 |
|
swrdcl |
|
| 464 |
456 463
|
syl |
|
| 465 |
464
|
ad2antrr |
|
| 466 |
|
simpr |
|
| 467 |
462 452 453 465 466
|
elsuppfnd |
|
| 468 |
456
|
ad2antrr |
|
| 469 |
|
simpllr |
|
| 470 |
|
pfxcctswrd |
|
| 471 |
468 469 470
|
syl2anc |
|
| 472 |
471
|
eqcomd |
|
| 473 |
448 450 461 467 472
|
2rspcedvdw |
|
| 474 |
|
fnov |
|
| 475 |
432 474
|
mpbi |
|
| 476 |
200
|
a1i |
|
| 477 |
|
ssv |
|
| 478 |
477
|
a1i |
|
| 479 |
|
ssv |
|
| 480 |
479
|
a1i |
|
| 481 |
475 476 478 480
|
elimampo |
|
| 482 |
481
|
mptru |
|
| 483 |
473 482
|
sylibr |
|
| 484 |
483
|
anasss |
|
| 485 |
454
|
ad3antrrr |
|
| 486 |
485
|
eldifbd |
|
| 487 |
486
|
anasss |
|
| 488 |
484 487
|
pm2.65da |
|
| 489 |
|
df-ne |
|
| 490 |
|
df-ne |
|
| 491 |
489 490
|
anbi12i |
|
| 492 |
491
|
notbii |
|
| 493 |
|
pm4.57 |
|
| 494 |
492 493
|
bitr2i |
|
| 495 |
488 494
|
sylibr |
|
| 496 |
294
|
ad2antrr |
|
| 497 |
496 458
|
ffvelcdmd |
|
| 498 |
497
|
zcnd |
|
| 499 |
184
|
ad2antrr |
|
| 500 |
499 464
|
ffvelcdmd |
|
| 501 |
500
|
zcnd |
|
| 502 |
498 501
|
mul0ord |
|
| 503 |
495 502
|
mpbird |
|
| 504 |
503
|
sumeq2dv |
|
| 505 |
|
fzssuz |
|
| 506 |
|
sumz |
|
| 507 |
506
|
orcs |
|
| 508 |
505 507
|
mp1i |
|
| 509 |
504 508
|
eqtrd |
|
| 510 |
446 509
|
sylan9eqr |
|
| 511 |
|
0zd |
|
| 512 |
370 510 455 511
|
fvmptd2 |
|
| 513 |
428 512
|
suppss |
|
| 514 |
436 513
|
ssfid |
|
| 515 |
429 430 431 514
|
isfsuppd |
|
| 516 |
415 429 515
|
elrabd |
|
| 517 |
516 5
|
eleqtrrdi |
|
| 518 |
|
fveq2 |
|
| 519 |
518 145
|
oveq12d |
|
| 520 |
519
|
cbvmptv |
|
| 521 |
520
|
oveq2i |
|
| 522 |
521
|
a1i |
|
| 523 |
414 517 522
|
rspcedvdw |
|
| 524 |
|
ovexd |
|
| 525 |
409 523 524
|
elrnmptd |
|
| 526 |
525 8
|
eleqtrrdi |
|
| 527 |
404 526
|
eqeltrd |
|
| 528 |
527
|
adantllr |
|
| 529 |
528
|
adantllr |
|
| 530 |
529
|
adantlr |
|
| 531 |
530
|
adantr |
|
| 532 |
107 531
|
eqeltrd |
|
| 533 |
8
|
eleq2i |
|
| 534 |
169
|
oveq2d |
|
| 535 |
534
|
cbvmptv |
|
| 536 |
535
|
elrnmpt |
|
| 537 |
536
|
elv |
|
| 538 |
533 537
|
sylbb |
|
| 539 |
538
|
adantl |
|
| 540 |
539
|
ad2antrr |
|
| 541 |
532 540
|
r19.29a |
|
| 542 |
8
|
eleq2i |
|
| 543 |
71
|
elrnmpt |
|
| 544 |
543
|
elv |
|
| 545 |
542 544
|
sylbb |
|
| 546 |
545
|
ad2antlr |
|
| 547 |
541 546
|
r19.29a |
|
| 548 |
547
|
anasss |
|
| 549 |
548
|
ralrimivva |
|
| 550 |
1 24 108
|
issubrg2 |
|
| 551 |
550
|
biimpar |
|
| 552 |
6 9 104 549 551
|
syl13anc |
|