Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem111.a |
|
2 |
|
fourierdlem111.b |
|
3 |
|
fourierdlem111.s |
|
4 |
|
fourierdlem111.d |
|
5 |
|
fourierdlem111.p |
|
6 |
|
fourierdlem111.m |
|
7 |
|
fourierdlem111.q |
|
8 |
|
fourierdlem111.x |
|
9 |
|
fourierdlem111.6 |
|
10 |
|
fourierdlem111.fper |
|
11 |
|
fourierdlem111.g |
|
12 |
|
fourierdlem111.fcn |
|
13 |
|
fourierdlem111.r |
|
14 |
|
fourierdlem111.l |
|
15 |
|
fourierdlem111.t |
|
16 |
|
fourierdlem111.o |
|
17 |
|
fourierdlem111.14 |
|
18 |
|
eleq1 |
|
19 |
18
|
anbi2d |
|
20 |
|
fveq2 |
|
21 |
|
fveq2 |
|
22 |
21
|
fveq1d |
|
23 |
22
|
oveq2d |
|
24 |
23
|
adantr |
|
25 |
24
|
itgeq2dv |
|
26 |
20 25
|
eqeq12d |
|
27 |
19 26
|
imbi12d |
|
28 |
9
|
adantr |
|
29 |
|
eqid |
|
30 |
|
ioossre |
|
31 |
30
|
a1i |
|
32 |
9 31
|
feqresmpt |
|
33 |
|
ioossicc |
|
34 |
33
|
a1i |
|
35 |
|
ioombl |
|
36 |
35
|
a1i |
|
37 |
9
|
adantr |
|
38 |
|
pire |
|
39 |
38
|
renegcli |
|
40 |
39 38
|
elicc2i |
|
41 |
40
|
simp1bi |
|
42 |
41
|
ssriv |
|
43 |
42
|
a1i |
|
44 |
43
|
sselda |
|
45 |
37 44
|
ffvelrnd |
|
46 |
9 43
|
feqresmpt |
|
47 |
|
ax-resscn |
|
48 |
47
|
a1i |
|
49 |
9 48
|
fssd |
|
50 |
49 43
|
fssresd |
|
51 |
|
ioossicc |
|
52 |
39
|
rexri |
|
53 |
52
|
a1i |
|
54 |
38
|
rexri |
|
55 |
54
|
a1i |
|
56 |
5 6 7
|
fourierdlem15 |
|
57 |
56
|
adantr |
|
58 |
|
simpr |
|
59 |
53 55 57 58
|
fourierdlem8 |
|
60 |
51 59
|
sstrid |
|
61 |
60
|
resabs1d |
|
62 |
61 12
|
eqeltrd |
|
63 |
61
|
oveq1d |
|
64 |
13 63
|
eleqtrrd |
|
65 |
61
|
oveq1d |
|
66 |
14 65
|
eleqtrrd |
|
67 |
5 6 7 50 62 64 66
|
fourierdlem69 |
|
68 |
46 67
|
eqeltrrd |
|
69 |
34 36 45 68
|
iblss |
|
70 |
32 69
|
eqeltrd |
|
71 |
70
|
adantr |
|
72 |
8
|
adantr |
|
73 |
|
simpr |
|
74 |
28 29 71 1 2 72 3 4 73
|
fourierdlem83 |
|
75 |
27 74
|
chvarvv |
|
76 |
39
|
a1i |
|
77 |
38
|
a1i |
|
78 |
49
|
adantr |
|
79 |
41
|
adantl |
|
80 |
78 79
|
ffvelrnd |
|
81 |
80
|
adantlr |
|
82 |
4
|
dirkerf |
|
83 |
82
|
ad2antlr |
|
84 |
8
|
adantr |
|
85 |
79 84
|
resubcld |
|
86 |
85
|
adantlr |
|
87 |
83 86
|
ffvelrnd |
|
88 |
87
|
recnd |
|
89 |
81 88
|
mulcld |
|
90 |
76 77 89
|
itgioo |
|
91 |
|
fvres |
|
92 |
91
|
eqcomd |
|
93 |
92
|
oveq1d |
|
94 |
93
|
adantl |
|
95 |
94
|
itgeq2dv |
|
96 |
|
simpl |
|
97 |
96
|
oveq2d |
|
98 |
97
|
oveq1d |
|
99 |
98
|
oveq1d |
|
100 |
96
|
oveq1d |
|
101 |
100
|
oveq1d |
|
102 |
101
|
fveq2d |
|
103 |
102
|
oveq1d |
|
104 |
99 103
|
ifeq12d |
|
105 |
104
|
mpteq2dva |
|
106 |
105
|
cbvmptv |
|
107 |
4 106
|
eqtri |
|
108 |
|
fveq2 |
|
109 |
|
oveq1 |
|
110 |
109
|
fveq2d |
|
111 |
108 110
|
oveq12d |
|
112 |
111
|
cbvmptv |
|
113 |
7
|
adantr |
|
114 |
6
|
adantr |
|
115 |
|
simpr |
|
116 |
8
|
adantr |
|
117 |
50
|
adantr |
|
118 |
62
|
adantlr |
|
119 |
64
|
adantlr |
|
120 |
66
|
adantlr |
|
121 |
107 5 112 113 114 115 116 117 118 119 120
|
fourierdlem101 |
|
122 |
|
oveq2 |
|
123 |
122
|
fveq2d |
|
124 |
|
fveq2 |
|
125 |
123 124
|
oveq12d |
|
126 |
125
|
cbvitgv |
|
127 |
126
|
a1i |
|
128 |
39
|
a1i |
|
129 |
128 8
|
resubcld |
|
130 |
129
|
adantr |
|
131 |
38
|
a1i |
|
132 |
131 8
|
resubcld |
|
133 |
132
|
adantr |
|
134 |
49
|
adantr |
|
135 |
8
|
adantr |
|
136 |
|
simpr |
|
137 |
129
|
adantr |
|
138 |
132
|
adantr |
|
139 |
|
elicc2 |
|
140 |
137 138 139
|
syl2anc |
|
141 |
136 140
|
mpbid |
|
142 |
141
|
simp1d |
|
143 |
135 142
|
readdcld |
|
144 |
134 143
|
ffvelrnd |
|
145 |
144
|
adantlr |
|
146 |
82
|
ad2antlr |
|
147 |
142
|
adantlr |
|
148 |
146 147
|
ffvelrnd |
|
149 |
148
|
recnd |
|
150 |
145 149
|
mulcld |
|
151 |
130 133 150
|
itgioo |
|
152 |
39
|
a1i |
|
153 |
38
|
a1i |
|
154 |
8
|
recnd |
|
155 |
131
|
recnd |
|
156 |
155
|
negcld |
|
157 |
154 156
|
pncan3d |
|
158 |
157
|
eqcomd |
|
159 |
158
|
adantr |
|
160 |
141
|
simp2d |
|
161 |
137 142 135 160
|
leadd2dd |
|
162 |
159 161
|
eqbrtrd |
|
163 |
141
|
simp3d |
|
164 |
142 138 135 163
|
leadd2dd |
|
165 |
154
|
adantr |
|
166 |
155
|
adantr |
|
167 |
165 166
|
pncan3d |
|
168 |
164 167
|
breqtrd |
|
169 |
152 153 143 162 168
|
eliccd |
|
170 |
|
fvres |
|
171 |
169 170
|
syl |
|
172 |
171
|
eqcomd |
|
173 |
172
|
adantlr |
|
174 |
173
|
oveq1d |
|
175 |
174
|
itgeq2dv |
|
176 |
127 151 175
|
3eqtrrd |
|
177 |
121 176
|
eqtrd |
|
178 |
90 95 177
|
3eqtrd |
|
179 |
|
elioore |
|
180 |
179
|
adantl |
|
181 |
49
|
adantr |
|
182 |
8
|
adantr |
|
183 |
179
|
adantl |
|
184 |
182 183
|
readdcld |
|
185 |
181 184
|
ffvelrnd |
|
186 |
185
|
adantlr |
|
187 |
82
|
ad2antlr |
|
188 |
187 180
|
ffvelrnd |
|
189 |
188
|
recnd |
|
190 |
186 189
|
mulcld |
|
191 |
|
oveq2 |
|
192 |
191
|
fveq2d |
|
193 |
|
fveq2 |
|
194 |
192 193
|
oveq12d |
|
195 |
194
|
cbvmptv |
|
196 |
11 195
|
eqtri |
|
197 |
196
|
fvmpt2 |
|
198 |
180 190 197
|
syl2anc |
|
199 |
198
|
eqcomd |
|
200 |
199
|
itgeq2dv |
|
201 |
49
|
adantr |
|
202 |
8
|
adantr |
|
203 |
|
simpr |
|
204 |
202 203
|
readdcld |
|
205 |
201 204
|
ffvelrnd |
|
206 |
205
|
adantlr |
|
207 |
82
|
adantl |
|
208 |
207
|
ffvelrnda |
|
209 |
208
|
recnd |
|
210 |
206 209
|
mulcld |
|
211 |
210 11
|
fmptd |
|
212 |
211
|
adantr |
|
213 |
129
|
adantr |
|
214 |
132
|
adantr |
|
215 |
|
simpr |
|
216 |
|
eliccre |
|
217 |
213 214 215 216
|
syl3anc |
|
218 |
217
|
adantlr |
|
219 |
212 218
|
ffvelrnd |
|
220 |
130 133 219
|
itgioo |
|
221 |
|
fveq2 |
|
222 |
221
|
cbvitgv |
|
223 |
220 222
|
eqtrdi |
|
224 |
200 223
|
eqtrd |
|
225 |
|
eqid |
|
226 |
116
|
renegcld |
|
227 |
5
|
fourierdlem2 |
|
228 |
6 227
|
syl |
|
229 |
7 228
|
mpbid |
|
230 |
229
|
simpld |
|
231 |
|
elmapi |
|
232 |
230 231
|
syl |
|
233 |
232
|
ffvelrnda |
|
234 |
8
|
adantr |
|
235 |
233 234
|
resubcld |
|
236 |
235 17
|
fmptd |
|
237 |
|
reex |
|
238 |
|
ovex |
|
239 |
237 238
|
pm3.2i |
|
240 |
|
elmapg |
|
241 |
239 240
|
mp1i |
|
242 |
236 241
|
mpbird |
|
243 |
17
|
a1i |
|
244 |
|
fveq2 |
|
245 |
229
|
simprd |
|
246 |
245
|
simpld |
|
247 |
246
|
simpld |
|
248 |
244 247
|
sylan9eqr |
|
249 |
248
|
oveq1d |
|
250 |
|
0zd |
|
251 |
6
|
nnzd |
|
252 |
|
0red |
|
253 |
|
nnre |
|
254 |
|
nngt0 |
|
255 |
252 253 254
|
ltled |
|
256 |
6 255
|
syl |
|
257 |
|
eluz2 |
|
258 |
250 251 256 257
|
syl3anbrc |
|
259 |
|
eluzfz1 |
|
260 |
258 259
|
syl |
|
261 |
243 249 260 129
|
fvmptd |
|
262 |
|
fveq2 |
|
263 |
246
|
simprd |
|
264 |
262 263
|
sylan9eqr |
|
265 |
264
|
oveq1d |
|
266 |
|
eluzfz2 |
|
267 |
258 266
|
syl |
|
268 |
243 265 267 132
|
fvmptd |
|
269 |
261 268
|
jca |
|
270 |
232
|
adantr |
|
271 |
|
elfzofz |
|
272 |
271
|
adantl |
|
273 |
270 272
|
ffvelrnd |
|
274 |
|
fzofzp1 |
|
275 |
274
|
adantl |
|
276 |
270 275
|
ffvelrnd |
|
277 |
8
|
adantr |
|
278 |
245
|
simprd |
|
279 |
278
|
r19.21bi |
|
280 |
273 276 277 279
|
ltsub1dd |
|
281 |
272 235
|
syldan |
|
282 |
17
|
fvmpt2 |
|
283 |
272 281 282
|
syl2anc |
|
284 |
|
fveq2 |
|
285 |
284
|
oveq1d |
|
286 |
285
|
cbvmptv |
|
287 |
17 286
|
eqtri |
|
288 |
287
|
a1i |
|
289 |
|
fveq2 |
|
290 |
289
|
oveq1d |
|
291 |
290
|
adantl |
|
292 |
276 277
|
resubcld |
|
293 |
288 291 275 292
|
fvmptd |
|
294 |
280 283 293
|
3brtr4d |
|
295 |
294
|
ralrimiva |
|
296 |
242 269 295
|
jca32 |
|
297 |
16
|
fourierdlem2 |
|
298 |
6 297
|
syl |
|
299 |
296 298
|
mpbird |
|
300 |
299
|
adantr |
|
301 |
155 156 154
|
nnncan2d |
|
302 |
|
picn |
|
303 |
302
|
2timesi |
|
304 |
302 302
|
subnegi |
|
305 |
303 15 304
|
3eqtr4i |
|
306 |
301 305
|
eqtr4di |
|
307 |
306
|
oveq2d |
|
308 |
307
|
fveq2d |
|
309 |
308
|
ad2antrr |
|
310 |
|
simpr |
|
311 |
11
|
fvmpt2 |
|
312 |
310 210 311
|
syl2anc |
|
313 |
154
|
adantr |
|
314 |
203
|
recnd |
|
315 |
|
2re |
|
316 |
315 38
|
remulcli |
|
317 |
15 316
|
eqeltri |
|
318 |
317
|
a1i |
|
319 |
318
|
recnd |
|
320 |
319
|
adantr |
|
321 |
313 314 320
|
addassd |
|
322 |
321
|
eqcomd |
|
323 |
322
|
fveq2d |
|
324 |
|
simpl |
|
325 |
324 204
|
jca |
|
326 |
|
eleq1 |
|
327 |
326
|
anbi2d |
|
328 |
|
oveq1 |
|
329 |
328
|
fveq2d |
|
330 |
|
fveq2 |
|
331 |
329 330
|
eqeq12d |
|
332 |
327 331
|
imbi12d |
|
333 |
|
eleq1 |
|
334 |
333
|
anbi2d |
|
335 |
|
oveq1 |
|
336 |
335
|
fveq2d |
|
337 |
|
fveq2 |
|
338 |
336 337
|
eqeq12d |
|
339 |
334 338
|
imbi12d |
|
340 |
339 10
|
chvarvv |
|
341 |
332 340
|
vtoclg |
|
342 |
204 325 341
|
sylc |
|
343 |
323 342
|
eqtr2d |
|
344 |
343
|
adantlr |
|
345 |
4 15
|
dirkerper |
|
346 |
345
|
eqcomd |
|
347 |
346
|
adantll |
|
348 |
344 347
|
oveq12d |
|
349 |
196
|
a1i |
|
350 |
|
oveq2 |
|
351 |
350
|
fveq2d |
|
352 |
|
fveq2 |
|
353 |
351 352
|
oveq12d |
|
354 |
353
|
adantl |
|
355 |
317
|
a1i |
|
356 |
310 355
|
readdcld |
|
357 |
317
|
a1i |
|
358 |
203 357
|
readdcld |
|
359 |
202 358
|
readdcld |
|
360 |
201 359
|
ffvelrnd |
|
361 |
360
|
adantlr |
|
362 |
82
|
ad2antlr |
|
363 |
362 356
|
ffvelrnd |
|
364 |
363
|
recnd |
|
365 |
361 364
|
mulcld |
|
366 |
349 354 356 365
|
fvmptd |
|
367 |
366
|
eqcomd |
|
368 |
312 348 367
|
3eqtrrd |
|
369 |
309 368
|
eqtrd |
|
370 |
196
|
reseq1i |
|
371 |
370
|
a1i |
|
372 |
|
ioossre |
|
373 |
|
resmpt |
|
374 |
372 373
|
ax-mp |
|
375 |
371 374
|
eqtrdi |
|
376 |
273
|
rexrd |
|
377 |
376
|
adantr |
|
378 |
276
|
rexrd |
|
379 |
378
|
adantr |
|
380 |
8
|
adantr |
|
381 |
|
elioore |
|
382 |
381
|
adantl |
|
383 |
380 382
|
readdcld |
|
384 |
383
|
adantlr |
|
385 |
|
eleq1 |
|
386 |
385
|
anbi2d |
|
387 |
191
|
breq2d |
|
388 |
386 387
|
imbi12d |
|
389 |
154
|
adantr |
|
390 |
283 281
|
eqeltrd |
|
391 |
390
|
recnd |
|
392 |
389 391
|
addcomd |
|
393 |
283
|
oveq1d |
|
394 |
273
|
recnd |
|
395 |
394 389
|
npcand |
|
396 |
392 393 395
|
3eqtrrd |
|
397 |
396
|
adantr |
|
398 |
390
|
adantr |
|
399 |
|
elioore |
|
400 |
399
|
adantl |
|
401 |
8
|
ad2antrr |
|
402 |
390
|
rexrd |
|
403 |
402
|
adantr |
|
404 |
293 292
|
eqeltrd |
|
405 |
404
|
rexrd |
|
406 |
405
|
adantr |
|
407 |
|
simpr |
|
408 |
|
ioogtlb |
|
409 |
403 406 407 408
|
syl3anc |
|
410 |
398 400 401 409
|
ltadd2dd |
|
411 |
397 410
|
eqbrtrd |
|
412 |
388 411
|
chvarvv |
|
413 |
191
|
breq1d |
|
414 |
386 413
|
imbi12d |
|
415 |
404
|
adantr |
|
416 |
|
iooltub |
|
417 |
403 406 407 416
|
syl3anc |
|
418 |
400 415 401 417
|
ltadd2dd |
|
419 |
404
|
recnd |
|
420 |
389 419
|
addcomd |
|
421 |
293
|
oveq1d |
|
422 |
276
|
recnd |
|
423 |
422 389
|
npcand |
|
424 |
420 421 423
|
3eqtrd |
|
425 |
424
|
adantr |
|
426 |
418 425
|
breqtrd |
|
427 |
414 426
|
chvarvv |
|
428 |
377 379 384 412 427
|
eliood |
|
429 |
191
|
cbvmptv |
|
430 |
429
|
a1i |
|
431 |
|
ioossre |
|
432 |
431
|
a1i |
|
433 |
9 432
|
feqresmpt |
|
434 |
433
|
adantr |
|
435 |
|
fveq2 |
|
436 |
428 430 434 435
|
fmptco |
|
437 |
|
eqid |
|
438 |
|
ssid |
|
439 |
438
|
a1i |
|
440 |
439 154 439
|
constcncfg |
|
441 |
|
cncfmptid |
|
442 |
438 438 441
|
mp2an |
|
443 |
442
|
a1i |
|
444 |
440 443
|
addcncf |
|
445 |
444
|
adantr |
|
446 |
|
ioosscn |
|
447 |
446
|
a1i |
|
448 |
|
ioosscn |
|
449 |
448
|
a1i |
|
450 |
376
|
adantr |
|
451 |
378
|
adantr |
|
452 |
8
|
adantr |
|
453 |
399
|
adantl |
|
454 |
452 453
|
readdcld |
|
455 |
454
|
adantlr |
|
456 |
450 451 455 411 426
|
eliood |
|
457 |
437 445 447 449 456
|
cncfmptssg |
|
458 |
457 12
|
cncfco |
|
459 |
436 458
|
eqeltrrd |
|
460 |
459
|
adantlr |
|
461 |
|
eqid |
|
462 |
82
|
feqmptd |
|
463 |
|
cncfss |
|
464 |
47 438 463
|
mp2an |
|
465 |
4
|
dirkercncf |
|
466 |
464 465
|
sseldi |
|
467 |
462 466
|
eqeltrrd |
|
468 |
372
|
a1i |
|
469 |
438
|
a1i |
|
470 |
|
cncff |
|
471 |
466 470
|
syl |
|
472 |
471
|
adantr |
|
473 |
381
|
adantl |
|
474 |
472 473
|
ffvelrnd |
|
475 |
461 467 468 469 474
|
cncfmptssg |
|
476 |
475
|
ad2antlr |
|
477 |
460 476
|
mulcncf |
|
478 |
375 477
|
eqeltrd |
|
479 |
453 205
|
syldan |
|
480 |
479
|
adantlr |
|
481 |
|
eqid |
|
482 |
480 481
|
fmptd |
|
483 |
482
|
adantlr |
|
484 |
82
|
ad2antlr |
|
485 |
372
|
a1i |
|
486 |
484 485
|
fssresd |
|
487 |
47
|
a1i |
|
488 |
486 487
|
fssd |
|
489 |
|
eqid |
|
490 |
|
fdm |
|
491 |
49 490
|
syl |
|
492 |
431 491
|
sseqtrrid |
|
493 |
|
ssdmres |
|
494 |
492 493
|
sylib |
|
495 |
494
|
eqcomd |
|
496 |
495
|
ad2antrr |
|
497 |
456 496
|
eleqtrd |
|
498 |
273
|
adantr |
|
499 |
498 411
|
gtned |
|
500 |
|
eldifsn |
|
501 |
497 499 500
|
sylanbrc |
|
502 |
501
|
ralrimiva |
|
503 |
|
eqid |
|
504 |
503
|
rnmptss |
|
505 |
502 504
|
syl |
|
506 |
|
eqidd |
|
507 |
|
oveq2 |
|
508 |
507
|
adantl |
|
509 |
390
|
leidd |
|
510 |
390 404 294
|
ltled |
|
511 |
390 404 390 509 510
|
eliccd |
|
512 |
396 273
|
eqeltrrd |
|
513 |
506 508 511 512
|
fvmptd |
|
514 |
396
|
eqcomd |
|
515 |
513 514
|
eqtr2d |
|
516 |
390 404
|
iccssred |
|
517 |
516 47
|
sstrdi |
|
518 |
517
|
resmptd |
|
519 |
|
rescncf |
|
520 |
517 445 519
|
sylc |
|
521 |
518 520
|
eqeltrrd |
|
522 |
521 511
|
cnlimci |
|
523 |
515 522
|
eqeltrd |
|
524 |
|
ioossicc |
|
525 |
|
resmpt |
|
526 |
524 525
|
ax-mp |
|
527 |
526
|
eqcomi |
|
528 |
527
|
a1i |
|
529 |
528
|
oveq1d |
|
530 |
154
|
ad2antrr |
|
531 |
390
|
adantr |
|
532 |
404
|
adantr |
|
533 |
|
simpr |
|
534 |
|
eliccre |
|
535 |
531 532 533 534
|
syl3anc |
|
536 |
535
|
recnd |
|
537 |
530 536
|
addcld |
|
538 |
|
eqid |
|
539 |
537 538
|
fmptd |
|
540 |
390 404 294 539
|
limciccioolb |
|
541 |
529 540
|
eqtr2d |
|
542 |
523 541
|
eleqtrd |
|
543 |
505 542 13
|
limccog |
|
544 |
49 432
|
fssresd |
|
545 |
544
|
adantr |
|
546 |
456 503
|
fmptd |
|
547 |
|
fcompt |
|
548 |
545 546 547
|
syl2anc |
|
549 |
|
eqidd |
|
550 |
|
oveq2 |
|
551 |
550
|
adantl |
|
552 |
|
simpr |
|
553 |
8
|
adantr |
|
554 |
372 552
|
sseldi |
|
555 |
553 554
|
readdcld |
|
556 |
549 551 552 555
|
fvmptd |
|
557 |
556
|
fveq2d |
|
558 |
557
|
adantlr |
|
559 |
376
|
adantr |
|
560 |
378
|
adantr |
|
561 |
555
|
adantlr |
|
562 |
396
|
adantr |
|
563 |
390
|
adantr |
|
564 |
554
|
adantlr |
|
565 |
8
|
ad2antrr |
|
566 |
402
|
adantr |
|
567 |
405
|
adantr |
|
568 |
|
simpr |
|
569 |
|
ioogtlb |
|
570 |
566 567 568 569
|
syl3anc |
|
571 |
563 564 565 570
|
ltadd2dd |
|
572 |
562 571
|
eqbrtrd |
|
573 |
404
|
adantr |
|
574 |
|
iooltub |
|
575 |
566 567 568 574
|
syl3anc |
|
576 |
564 573 565 575
|
ltadd2dd |
|
577 |
424
|
adantr |
|
578 |
576 577
|
breqtrd |
|
579 |
559 560 561 572 578
|
eliood |
|
580 |
|
fvres |
|
581 |
579 580
|
syl |
|
582 |
558 581
|
eqtrd |
|
583 |
582
|
mpteq2dva |
|
584 |
550
|
fveq2d |
|
585 |
584
|
cbvmptv |
|
586 |
583 585
|
eqtr4di |
|
587 |
548 586
|
eqtrd |
|
588 |
587
|
oveq1d |
|
589 |
543 588
|
eleqtrd |
|
590 |
589
|
adantlr |
|
591 |
|
fvres |
|
592 |
511 591
|
syl |
|
593 |
592
|
eqcomd |
|
594 |
593
|
adantlr |
|
595 |
516
|
adantlr |
|
596 |
465
|
ad2antlr |
|
597 |
|
rescncf |
|
598 |
595 596 597
|
sylc |
|
599 |
511
|
adantlr |
|
600 |
598 599
|
cnlimci |
|
601 |
594 600
|
eqeltrd |
|
602 |
524
|
a1i |
|
603 |
602
|
resabs1d |
|
604 |
603
|
eqcomd |
|
605 |
604
|
oveq1d |
|
606 |
605
|
adantlr |
|
607 |
390
|
adantlr |
|
608 |
404
|
adantlr |
|
609 |
294
|
adantlr |
|
610 |
471
|
ad2antlr |
|
611 |
610 595
|
fssresd |
|
612 |
607 608 609 611
|
limciccioolb |
|
613 |
606 612
|
eqtr2d |
|
614 |
601 613
|
eleqtrd |
|
615 |
483 488 489 590 614
|
mullimcf |
|
616 |
|
eqidd |
|
617 |
192
|
adantl |
|
618 |
|
simpr |
|
619 |
49
|
adantr |
|
620 |
619 383
|
ffvelrnd |
|
621 |
620
|
adantlr |
|
622 |
616 617 618 621
|
fvmptd |
|
623 |
622
|
adantllr |
|
624 |
|
fvres |
|
625 |
624
|
adantl |
|
626 |
623 625
|
oveq12d |
|
627 |
626
|
eqcomd |
|
628 |
627
|
mpteq2dva |
|
629 |
375 628
|
eqtr2d |
|
630 |
629
|
oveq1d |
|
631 |
615 630
|
eleqtrd |
|
632 |
455 426
|
ltned |
|
633 |
|
eldifsn |
|
634 |
497 632 633
|
sylanbrc |
|
635 |
634
|
ralrimiva |
|
636 |
503
|
rnmptss |
|
637 |
635 636
|
syl |
|
638 |
404
|
leidd |
|
639 |
390 404 404 510 638
|
eliccd |
|
640 |
521 639
|
cnlimci |
|
641 |
|
oveq2 |
|
642 |
641
|
adantl |
|
643 |
277 404
|
readdcld |
|
644 |
506 642 639 643
|
fvmptd |
|
645 |
644 424
|
eqtrd |
|
646 |
528
|
oveq1d |
|
647 |
390 404 294 539
|
limcicciooub |
|
648 |
646 647
|
eqtr2d |
|
649 |
640 645 648
|
3eltr3d |
|
650 |
637 649 14
|
limccog |
|
651 |
587
|
oveq1d |
|
652 |
650 651
|
eleqtrd |
|
653 |
652
|
adantlr |
|
654 |
639
|
adantlr |
|
655 |
598 654
|
cnlimci |
|
656 |
|
fvres |
|
657 |
654 656
|
syl |
|
658 |
607 608 609 611
|
limcicciooub |
|
659 |
658
|
eqcomd |
|
660 |
|
resabs1 |
|
661 |
524 660
|
mp1i |
|
662 |
661
|
oveq1d |
|
663 |
659 662
|
eqtrd |
|
664 |
655 657 663
|
3eltr3d |
|
665 |
483 488 489 653 664
|
mullimcf |
|
666 |
629
|
oveq1d |
|
667 |
665 666
|
eleqtrd |
|
668 |
130 133 225 226 16 114 300 211 369 478 631 667
|
fourierdlem110 |
|
669 |
668
|
eqcomd |
|
670 |
129
|
recnd |
|
671 |
670 154
|