Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem62.k |
|
2 |
|
eqeq1 |
|
3 |
|
id |
|
4 |
|
oveq1 |
|
5 |
4
|
fveq2d |
|
6 |
5
|
oveq2d |
|
7 |
3 6
|
oveq12d |
|
8 |
2 7
|
ifbieq2d |
|
9 |
8
|
cbvmptv |
|
10 |
1 9
|
eqtri |
|
11 |
10
|
fourierdlem43 |
|
12 |
|
ax-resscn |
|
13 |
|
fss |
|
14 |
11 12 13
|
mp2an |
|
15 |
14
|
a1i |
|
16 |
|
difss |
|
17 |
|
elioore |
|
18 |
17
|
ssriv |
|
19 |
16 18
|
sstri |
|
20 |
19
|
a1i |
|
21 |
|
eqid |
|
22 |
19
|
sseli |
|
23 |
21 22
|
fmpti |
|
24 |
23
|
a1i |
|
25 |
|
eqid |
|
26 |
|
2re |
|
27 |
26
|
a1i |
|
28 |
22
|
rehalfcld |
|
29 |
28
|
resincld |
|
30 |
27 29
|
remulcld |
|
31 |
25 30
|
fmpti |
|
32 |
31
|
a1i |
|
33 |
|
iooretop |
|
34 |
33
|
a1i |
|
35 |
|
0re |
|
36 |
|
negpilt0 |
|
37 |
|
pipos |
|
38 |
|
pire |
|
39 |
38
|
renegcli |
|
40 |
39
|
rexri |
|
41 |
38
|
rexri |
|
42 |
|
elioo2 |
|
43 |
40 41 42
|
mp2an |
|
44 |
35 36 37 43
|
mpbir3an |
|
45 |
44
|
a1i |
|
46 |
|
eqid |
|
47 |
|
1ex |
|
48 |
|
eqid |
|
49 |
47 48
|
dmmpti |
|
50 |
|
reelprrecn |
|
51 |
50
|
a1i |
|
52 |
12
|
sseli |
|
53 |
52
|
adantl |
|
54 |
|
1red |
|
55 |
51
|
dvmptid |
|
56 |
|
eqid |
|
57 |
56
|
tgioo2 |
|
58 |
|
sncldre |
|
59 |
35 58
|
ax-mp |
|
60 |
|
retopon |
|
61 |
60
|
toponunii |
|
62 |
61
|
difopn |
|
63 |
33 59 62
|
mp2an |
|
64 |
63
|
a1i |
|
65 |
51 53 54 55 20 57 56 64
|
dvmptres |
|
66 |
65
|
mptru |
|
67 |
66
|
eqcomi |
|
68 |
67
|
dmeqi |
|
69 |
49 68
|
eqtr3i |
|
70 |
69
|
eqimssi |
|
71 |
70
|
a1i |
|
72 |
|
fvex |
|
73 |
|
eqid |
|
74 |
72 73
|
dmmpti |
|
75 |
|
2cnd |
|
76 |
53
|
halfcld |
|
77 |
76
|
sincld |
|
78 |
75 77
|
mulcld |
|
79 |
76
|
coscld |
|
80 |
|
2cnd |
|
81 |
|
2ne0 |
|
82 |
81
|
a1i |
|
83 |
52 80 82
|
divrec2d |
|
84 |
83
|
fveq2d |
|
85 |
84
|
oveq2d |
|
86 |
85
|
mpteq2ia |
|
87 |
86
|
oveq2i |
|
88 |
|
resmpt |
|
89 |
12 88
|
ax-mp |
|
90 |
89
|
eqcomi |
|
91 |
90
|
oveq2i |
|
92 |
|
eqid |
|
93 |
|
2cnd |
|
94 |
|
halfcn |
|
95 |
94
|
a1i |
|
96 |
|
id |
|
97 |
95 96
|
mulcld |
|
98 |
97
|
sincld |
|
99 |
93 98
|
mulcld |
|
100 |
92 99
|
fmpti |
|
101 |
|
eqid |
|
102 |
|
2cn |
|
103 |
102 94
|
mulcli |
|
104 |
103
|
a1i |
|
105 |
97
|
coscld |
|
106 |
104 105
|
mulcld |
|
107 |
106
|
adantl |
|
108 |
101 107
|
dmmptd |
|
109 |
108
|
mptru |
|
110 |
12 109
|
sseqtrri |
|
111 |
|
dvasinbx |
|
112 |
102 94 111
|
mp2an |
|
113 |
112
|
dmeqi |
|
114 |
110 113
|
sseqtrri |
|
115 |
|
dvcnre |
|
116 |
100 114 115
|
mp2an |
|
117 |
112
|
reseq1i |
|
118 |
|
resmpt |
|
119 |
12 118
|
ax-mp |
|
120 |
102 81
|
recidi |
|
121 |
120
|
a1i |
|
122 |
83
|
eqcomd |
|
123 |
122
|
fveq2d |
|
124 |
121 123
|
oveq12d |
|
125 |
52
|
halfcld |
|
126 |
125
|
coscld |
|
127 |
126
|
mulid2d |
|
128 |
124 127
|
eqtrd |
|
129 |
128
|
mpteq2ia |
|
130 |
117 119 129
|
3eqtri |
|
131 |
91 116 130
|
3eqtri |
|
132 |
87 131
|
eqtri |
|
133 |
132
|
a1i |
|
134 |
51 78 79 133 20 57 56 64
|
dvmptres |
|
135 |
134
|
mptru |
|
136 |
135
|
eqcomi |
|
137 |
136
|
dmeqi |
|
138 |
74 137
|
eqtr3i |
|
139 |
138
|
eqimssi |
|
140 |
139
|
a1i |
|
141 |
17
|
recnd |
|
142 |
141
|
ssriv |
|
143 |
142
|
a1i |
|
144 |
|
ssid |
|
145 |
144
|
a1i |
|
146 |
143 145
|
idcncfg |
|
147 |
146
|
mptru |
|
148 |
|
cnlimc |
|
149 |
142 148
|
ax-mp |
|
150 |
147 149
|
mpbi |
|
151 |
150
|
simpri |
|
152 |
|
fveq2 |
|
153 |
|
oveq2 |
|
154 |
152 153
|
eleq12d |
|
155 |
154
|
rspccva |
|
156 |
151 44 155
|
mp2an |
|
157 |
|
id |
|
158 |
|
eqid |
|
159 |
|
c0ex |
|
160 |
157 158 159
|
fvmpt |
|
161 |
44 160
|
ax-mp |
|
162 |
|
elioore |
|
163 |
162
|
recnd |
|
164 |
158 163
|
fmpti |
|
165 |
164
|
a1i |
|
166 |
165
|
limcdif |
|
167 |
166
|
mptru |
|
168 |
|
resmpt |
|
169 |
16 168
|
ax-mp |
|
170 |
169
|
oveq1i |
|
171 |
167 170
|
eqtri |
|
172 |
156 161 171
|
3eltr3i |
|
173 |
172
|
a1i |
|
174 |
|
eqid |
|
175 |
144
|
a1i |
|
176 |
|
2cnd |
|
177 |
175 176 175
|
constcncfg |
|
178 |
102 177
|
mp1i |
|
179 |
|
2cnd |
|
180 |
174 178 143 145 179
|
cncfmptssg |
|
181 |
|
sincn |
|
182 |
181
|
a1i |
|
183 |
|
eqid |
|
184 |
183
|
divccncf |
|
185 |
102 81 184
|
mp2an |
|
186 |
185
|
a1i |
|
187 |
163
|
adantl |
|
188 |
187
|
halfcld |
|
189 |
183 186 143 145 188
|
cncfmptssg |
|
190 |
182 189
|
cncfmpt1f |
|
191 |
180 190
|
mulcncf |
|
192 |
191
|
mptru |
|
193 |
|
cnlimc |
|
194 |
142 193
|
ax-mp |
|
195 |
192 194
|
mpbi |
|
196 |
195
|
simpri |
|
197 |
|
fveq2 |
|
198 |
|
oveq2 |
|
199 |
197 198
|
eleq12d |
|
200 |
199
|
rspccva |
|
201 |
196 44 200
|
mp2an |
|
202 |
|
oveq1 |
|
203 |
102 81
|
div0i |
|
204 |
202 203
|
eqtrdi |
|
205 |
204
|
fveq2d |
|
206 |
|
sin0 |
|
207 |
205 206
|
eqtrdi |
|
208 |
207
|
oveq2d |
|
209 |
|
2t0e0 |
|
210 |
208 209
|
eqtrdi |
|
211 |
|
eqid |
|
212 |
210 211 159
|
fvmpt |
|
213 |
44 212
|
ax-mp |
|
214 |
|
2cnd |
|
215 |
163
|
halfcld |
|
216 |
215
|
sincld |
|
217 |
214 216
|
mulcld |
|
218 |
211 217
|
fmpti |
|
219 |
218
|
a1i |
|
220 |
219
|
limcdif |
|
221 |
220
|
mptru |
|
222 |
|
resmpt |
|
223 |
16 222
|
ax-mp |
|
224 |
223
|
oveq1i |
|
225 |
221 224
|
eqtri |
|
226 |
201 213 225
|
3eltr3i |
|
227 |
226
|
a1i |
|
228 |
|
eqidd |
|
229 |
|
oveq1 |
|
230 |
229
|
fveq2d |
|
231 |
230
|
oveq2d |
|
232 |
231
|
adantl |
|
233 |
|
id |
|
234 |
26
|
a1i |
|
235 |
19
|
sseli |
|
236 |
235
|
rehalfcld |
|
237 |
236
|
resincld |
|
238 |
234 237
|
remulcld |
|
239 |
228 232 233 238
|
fvmptd |
|
240 |
|
2cnd |
|
241 |
237
|
recnd |
|
242 |
81
|
a1i |
|
243 |
|
ioossicc |
|
244 |
|
eldifi |
|
245 |
243 244
|
sseldi |
|
246 |
|
eldifsni |
|
247 |
|
fourierdlem44 |
|
248 |
245 246 247
|
syl2anc |
|
249 |
240 241 242 248
|
mulne0d |
|
250 |
239 249
|
eqnetrd |
|
251 |
250
|
neneqd |
|
252 |
251
|
nrex |
|
253 |
25
|
fnmpt |
|
254 |
253 30
|
mprg |
|
255 |
|
ssid |
|
256 |
|
fvelimab |
|
257 |
254 255 256
|
mp2an |
|
258 |
252 257
|
mtbir |
|
259 |
258
|
a1i |
|
260 |
|
eqidd |
|
261 |
229
|
fveq2d |
|
262 |
261
|
adantl |
|
263 |
235
|
recnd |
|
264 |
263
|
halfcld |
|
265 |
264
|
coscld |
|
266 |
260 262 233 265
|
fvmptd |
|
267 |
236
|
rered |
|
268 |
|
halfpire |
|
269 |
268
|
renegcli |
|
270 |
269
|
a1i |
|
271 |
270
|
rexrd |
|
272 |
268
|
a1i |
|
273 |
272
|
rexrd |
|
274 |
|
picn |
|
275 |
|
divneg |
|
276 |
274 102 81 275
|
mp3an |
|
277 |
39
|
a1i |
|
278 |
|
2rp |
|
279 |
278
|
a1i |
|
280 |
40
|
a1i |
|
281 |
41
|
a1i |
|
282 |
|
ioogtlb |
|
283 |
280 281 244 282
|
syl3anc |
|
284 |
277 235 279 283
|
ltdiv1dd |
|
285 |
276 284
|
eqbrtrid |
|
286 |
38
|
a1i |
|
287 |
|
iooltub |
|
288 |
280 281 244 287
|
syl3anc |
|
289 |
235 286 279 288
|
ltdiv1dd |
|
290 |
271 273 236 285 289
|
eliood |
|
291 |
267 290
|
eqeltrd |
|
292 |
|
cosne0 |
|
293 |
264 291 292
|
syl2anc |
|
294 |
266 293
|
eqnetrd |
|
295 |
294
|
neneqd |
|
296 |
295
|
nrex |
|
297 |
72 73
|
fnmpti |
|
298 |
|
fvelimab |
|
299 |
297 255 298
|
mp2an |
|
300 |
296 299
|
mtbir |
|
301 |
135
|
imaeq1i |
|
302 |
301
|
eleq2i |
|
303 |
300 302
|
mtbir |
|
304 |
303
|
a1i |
|
305 |
|
eqid |
|
306 |
|
eqid |
|
307 |
19
|
sseli |
|
308 |
307
|
recnd |
|
309 |
308
|
halfcld |
|
310 |
309
|
coscld |
|
311 |
307
|
rehalfcld |
|
312 |
311
|
rered |
|
313 |
269
|
a1i |
|
314 |
313
|
rexrd |
|
315 |
268
|
a1i |
|
316 |
315
|
rexrd |
|
317 |
38
|
a1i |
|
318 |
317
|
renegcld |
|
319 |
278
|
a1i |
|
320 |
40
|
a1i |
|
321 |
41
|
a1i |
|
322 |
|
eldifi |
|
323 |
|
ioogtlb |
|
324 |
320 321 322 323
|
syl3anc |
|
325 |
318 307 319 324
|
ltdiv1dd |
|
326 |
276 325
|
eqbrtrid |
|
327 |
|
iooltub |
|
328 |
320 321 322 327
|
syl3anc |
|
329 |
307 317 319 328
|
ltdiv1dd |
|
330 |
314 316 311 326 329
|
eliood |
|
331 |
312 330
|
eqeltrd |
|
332 |
|
cosne0 |
|
333 |
309 331 332
|
syl2anc |
|
334 |
333
|
neneqd |
|
335 |
311
|
recoscld |
|
336 |
|
elsng |
|
337 |
335 336
|
syl |
|
338 |
334 337
|
mtbird |
|
339 |
310 338
|
eldifd |
|
340 |
339
|
adantl |
|
341 |
309
|
ad2antrl |
|
342 |
|
cosf |
|
343 |
342
|
a1i |
|
344 |
343
|
ffvelrnda |
|
345 |
|
eqid |
|
346 |
345
|
divccncf |
|
347 |
102 81 346
|
mp2an |
|
348 |
347
|
a1i |
|
349 |
141
|
adantl |
|
350 |
349
|
halfcld |
|
351 |
345 348 143 145 350
|
cncfmptssg |
|
352 |
|
oveq1 |
|
353 |
352 203
|
eqtrdi |
|
354 |
351 45 353
|
cnmptlimc |
|
355 |
|
eqid |
|
356 |
141
|
halfcld |
|
357 |
355 356
|
fmpti |
|
358 |
357
|
a1i |
|
359 |
358
|
limcdif |
|
360 |
359
|
mptru |
|
361 |
|
resmpt |
|
362 |
16 361
|
ax-mp |
|
363 |
362
|
oveq1i |
|
364 |
360 363
|
eqtri |
|
365 |
354 364
|
eleqtrdi |
|
366 |
|
ffn |
|
367 |
342 366
|
ax-mp |
|
368 |
|
dffn5 |
|
369 |
367 368
|
mpbi |
|
370 |
|
coscn |
|
371 |
369 370
|
eqeltrri |
|
372 |
371
|
a1i |
|
373 |
|
0cnd |
|
374 |
|
fveq2 |
|
375 |
|
cos0 |
|
376 |
374 375
|
eqtrdi |
|
377 |
372 373 376
|
cnmptlimc |
|
378 |
|
fveq2 |
|
379 |
|
fveq2 |
|
380 |
379 375
|
eqtrdi |
|
381 |
380
|
ad2antll |
|
382 |
341 344 365 377 378 381
|
limcco |
|
383 |
|
ax-1ne0 |
|
384 |
383
|
a1i |
|
385 |
305 306 340 382 384
|
reclimc |
|
386 |
|
1div1e1 |
|
387 |
66
|
fveq1i |
|
388 |
|
eqidd |
|
389 |
|
eqidd |
|
390 |
|
id |
|
391 |
|
1red |
|
392 |
388 389 390 391
|
fvmptd |
|
393 |
387 392
|
syl5req |
|
394 |
135
|
a1i |
|
395 |
|
oveq1 |
|
396 |
395
|
fveq2d |
|
397 |
396
|
adantl |
|
398 |
394 397 390 335
|
fvmptd |
|
399 |
398
|
eqcomd |
|
400 |
393 399
|
oveq12d |
|
401 |
400
|
mpteq2ia |
|
402 |
401
|
oveq1i |
|
403 |
385 386 402
|
3eltr3g |
|
404 |
20 24 32 34 45 46 71 140 173 227 259 304 403
|
lhop |
|
405 |
404
|
mptru |
|
406 |
|
eqidd |
|
407 |
|
simpr |
|
408 |
406 407 390 307
|
fvmptd |
|
409 |
|
eqidd |
|
410 |
407
|
oveq1d |
|
411 |
410
|
fveq2d |
|
412 |
411
|
oveq2d |
|
413 |
26
|
a1i |
|
414 |
311
|
resincld |
|
415 |
413 414
|
remulcld |
|
416 |
409 412 390 415
|
fvmptd |
|
417 |
408 416
|
oveq12d |
|
418 |
417
|
mpteq2ia |
|
419 |
418
|
oveq1i |
|
420 |
405 419
|
eleqtri |
|
421 |
10
|
oveq1i |
|
422 |
10
|
feq1i |
|
423 |
14 422
|
mpbi |
|
424 |
423
|
a1i |
|
425 |
243
|
a1i |
|
426 |
|
iccssre |
|
427 |
39 38 426
|
mp2an |
|
428 |
427
|
a1i |
|
429 |
428 12
|
sstrdi |
|
430 |
|
eqid |
|
431 |
39 35 36
|
ltleii |
|
432 |
35 38 37
|
ltleii |
|
433 |
39 38
|
elicc2i |
|
434 |
35 431 432 433
|
mpbir3an |
|
435 |
159
|
snss |
|
436 |
434 435
|
mpbi |
|
437 |
|
ssequn2 |
|
438 |
436 437
|
mpbi |
|
439 |
438
|
oveq2i |
|
440 |
|
eqid |
|
441 |
56 440
|
rerest |
|
442 |
427 441
|
ax-mp |
|
443 |
439 442
|
eqtri |
|
444 |
443
|
fveq2i |
|
445 |
159
|
snss |
|
446 |
44 445
|
mpbi |
|
447 |
|
ssequn2 |
|
448 |
446 447
|
mpbi |
|
449 |
444 448
|
fveq12i |
|
450 |
|
resttopon |
|
451 |
60 427 450
|
mp2an |
|
452 |
451
|
topontopi |
|
453 |
|
retop |
|
454 |
|
ovex |
|
455 |
453 454
|
pm3.2i |
|
456 |
|
ssid |
|
457 |
33 243 456
|
3pm3.2i |
|
458 |
|
restopnb |
|
459 |
455 457 458
|
mp2an |
|
460 |
33 459
|
mpbi |
|
461 |
|
isopn3i |
|
462 |
452 460 461
|
mp2an |
|
463 |
|
eqid |
|
464 |
449 462 463
|
3eqtrri |
|
465 |
44 464
|
eleqtri |
|
466 |
465
|
a1i |
|
467 |
424 425 429 56 430 466
|
limcres |
|
468 |
467
|
mptru |
|
469 |
468
|
eqcomi |
|
470 |
|
resmpt |
|
471 |
243 470
|
ax-mp |
|
472 |
471
|
oveq1i |
|
473 |
421 469 472
|
3eqtri |
|
474 |
|
eqid |
|
475 |
|
iftrue |
|
476 |
|
1cnd |
|
477 |
475 476
|
eqeltrd |
|
478 |
477
|
adantl |
|
479 |
|
iffalse |
|
480 |
479
|
adantl |
|
481 |
141
|
adantr |
|
482 |
|
2cnd |
|
483 |
481
|
halfcld |
|
484 |
483
|
sincld |
|
485 |
482 484
|
mulcld |
|
486 |
81
|
a1i |
|
487 |
243
|
sseli |
|
488 |
|
neqne |
|
489 |
|
fourierdlem44 |
|
490 |
487 488 489
|
syl2an |
|
491 |
482 484 486 490
|
mulne0d |
|
492 |
481 485 491
|
divcld |
|
493 |
480 492
|
eqeltrd |
|
494 |
478 493
|
pm2.61dan |
|
495 |
474 494
|
fmpti |
|
496 |
495
|
a1i |
|
497 |
496
|
limcdif |
|
498 |
497
|
mptru |
|
499 |
|
resmpt |
|
500 |
16 499
|
ax-mp |
|
501 |
|
eldifn |
|
502 |
|
velsn |
|
503 |
501 502
|
sylnib |
|
504 |
503 479
|
syl |
|
505 |
504
|
mpteq2ia |
|
506 |
500 505
|
eqtri |
|
507 |
506
|
oveq1i |
|
508 |
473 498 507
|
3eqtrri |
|
509 |
420 508
|
eleqtri |
|
510 |
509
|
a1i |
|
511 |
|
fveq2 |
|
512 |
475 10 47
|
fvmpt |
|
513 |
434 512
|
ax-mp |
|
514 |
511 513
|
eqtrdi |
|
515 |
|
oveq2 |
|
516 |
510 514 515
|
3eltr4d |
|
517 |
427 12
|
sstri |
|
518 |
517
|
a1i |
|
519 |
38
|
a1i |
|
520 |
519
|
renegcld |
|
521 |
|
id |
|
522 |
35
|
a1i |
|
523 |
521 522
|
eqeltrd |
|
524 |
431 521
|
breqtrrid |
|
525 |
521 432
|
eqbrtrdi |
|
526 |
520 519 523 524 525
|
eliccd |
|
527 |
57
|
oveq1i |
|
528 |
56
|
cnfldtop |
|
529 |
|
reex |
|
530 |
|
restabs |
|
531 |
528 427 529 530
|
mp3an |
|
532 |
527 531
|
eqtri |
|
533 |
56 532
|
cnplimc |
|
534 |
518 526 533
|
syl2anc |
|
535 |
15 516 534
|
mpbir2and |
|
536 |
535
|
adantl |
|
537 |
|
simpl |
|
538 |
502
|
notbii |
|
539 |
538
|
biimpri |
|
540 |
539
|
adantl |
|
541 |
537 540
|
eldifd |
|
542 |
|
fveq2 |
|
543 |
542
|
eleq2d |
|
544 |
429
|
ssdifssd |
|
545 |
544 145
|
idcncfg |
|
546 |
|
eqid |
|
547 |
|
2cnd |
|
548 |
|
eldifi |
|
549 |
517 548
|
sseldi |
|
550 |
549
|
halfcld |
|
551 |
550
|
sincld |
|
552 |
547 551
|
mulcld |
|
553 |
81
|
a1i |
|
554 |
|
eldifsni |
|
555 |
548 554 489
|
syl2anc |
|
556 |
547 551 553 555
|
mulne0d |
|
557 |
556
|
neneqd |
|
558 |
|
elsng |
|
559 |
552 558
|
syl |
|
560 |
557 559
|
mtbird |
|
561 |
552 560
|
eldifd |
|
562 |
546 561
|
fmpti |
|
563 |
|
difss |
|
564 |
|
eqid |
|
565 |
175 176 175
|
constcncfg |
|
566 |
102 565
|
mp1i |
|
567 |
|
2cnd |
|
568 |
564 566 544 145 567
|
cncfmptssg |
|
569 |
549 547 553
|
divrecd |
|
570 |
569
|
mpteq2ia |
|
571 |
|
eqid |
|
572 |
144
|
a1i |
|
573 |
|
id |
|
574 |
572 573 572
|
constcncfg |
|
575 |
94 574
|
mp1i |
|
576 |
94
|
a1i |
|
577 |
571 575 544 145 576
|
cncfmptssg |
|
578 |
545 577
|
mulcncf |
|
579 |
570 578
|
eqeltrid |
|
580 |
182 579
|
cncfmpt1f |
|
581 |
568 580
|
mulcncf |
|
582 |
581
|
mptru |
|
583 |
|
cncffvrn |
|
584 |
563 582 583
|
mp2an |
|
585 |
562 584
|
mpbir |
|
586 |
585
|
a1i |
|
587 |
545 586
|
divcncf |
|
588 |
587
|
mptru |
|
589 |
428
|
ssdifssd |
|
590 |
589
|
mptru |
|
591 |
590 12
|
sstri |
|
592 |
57
|
oveq1i |
|
593 |
|
restabs |
|
594 |
528 590 529 593
|
mp3an |
|
595 |
592 594
|
eqtri |
|
596 |
|
unicntop |
|
597 |
596
|
restid |
|
598 |
528 597
|
ax-mp |
|
599 |
598
|
eqcomi |
|
600 |
56 595 599
|
cncfcn |
|
601 |
591 144 600
|
mp2an |
|
602 |
588 601
|
eleqtri |
|
603 |
|
resttopon |
|
604 |
60 590 603
|
mp2an |
|
605 |
56
|
cnfldtopon |
|
606 |
|
cncnp |
|
607 |
604 605 606
|
mp2an |
|
608 |
602 607
|
mpbi |
|
609 |
608
|
simpri |
|
610 |
543 609
|
vtoclri |
|
611 |
541 610
|
syl |
|
612 |
10
|
reseq1i |
|
613 |
|
difss |
|
614 |
|
resmpt |
|
615 |
613 614
|
ax-mp |
|
616 |
|
eldifn |
|
617 |
616 502
|
sylnib |
|
618 |
617 479
|
syl |
|
619 |
618
|
mpteq2ia |
|
620 |
612 615 619
|
3eqtri |
|
621 |
|
restabs |
|
622 |
453 613 454 621
|
mp3an |
|
623 |
622
|
oveq1i |
|
624 |
623
|
fveq1i |
|
625 |
611 620 624
|
3eltr4g |
|
626 |
452 613
|
pm3.2i |
|
627 |
626
|
a1i |
|
628 |
|
ssdif |
|
629 |
427 628
|
ax-mp |
|
630 |
629 541
|
sseldi |
|
631 |
|
sscon |
|
632 |
436 631
|
ax-mp |
|
633 |
629 632
|
unssi |
|
634 |
|
simpr |
|
635 |
|
eldifn |
|
636 |
635
|
adantr |
|
637 |
634 636
|
eldifd |
|
638 |
|
elun1 |
|
639 |
637 638
|
syl |
|
640 |
|
eldifi |
|
641 |
640
|
adantr |
|
642 |
|
simpr |
|
643 |
641 642
|
eldifd |
|
644 |
|
elun2 |
|
645 |
643 644
|
syl |
|
646 |
639 645
|
pm2.61dan |
|
647 |
646
|
ssriv |
|
648 |
633 647
|
eqssi |
|
649 |
648
|
fveq2i |
|
650 |
61
|
cldopn |
|
651 |
59 650
|
ax-mp |
|
652 |
|
isopn3i |
|
653 |
453 651 652
|
mp2an |
|
654 |
649 653
|
eqtri |
|
655 |
630 654
|
eleqtrrdi |
|
656 |
655 537
|
elind |
|
657 |
|
eqid |
|
658 |
61 657
|
restntr |
|
659 |
453 427 613 658
|
mp3an |
|
660 |
656 659
|
eleqtrrdi |
|
661 |
14
|
a1i |
|
662 |
451
|
toponunii |
|
663 |
662 596
|
cnprest |
|
664 |
627 660 661 663
|
syl12anc |
|
665 |
625 664
|
mpbird |
|
666 |
536 665
|
pm2.61dan |
|
667 |
666
|
rgen |
|
668 |
|
cncnp |
|
669 |
451 605 668
|
mp2an |
|
670 |
14 667 669
|
mpbir2an |
|
671 |
56 532 599
|
cncfcn |
|
672 |
517 144 671
|
mp2an |
|
673 |
672
|
eqcomi |
|
674 |
670 673
|
eleqtri |
|
675 |
|
cncffvrn |
|
676 |
12 674 675
|
mp2an |
|
677 |
11 676
|
mpbir |
|