Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem79.t |
|
2 |
|
fourierdlem79.p |
|
3 |
|
fourierdlem79.m |
|
4 |
|
fourierdlem79.q |
|
5 |
|
fourierdlem79.c |
|
6 |
|
fourierdlem79.d |
|
7 |
|
fourierdlem79.cltd |
|
8 |
|
fourierdlem79.o |
|
9 |
|
fourierdlem79.h |
|
10 |
|
fourierdlem79.n |
|
11 |
|
fourierdlem79.s |
|
12 |
|
fourierdlem79.e |
|
13 |
|
fourierdlem79.l |
|
14 |
|
fourierdlem79.z |
|
15 |
|
fourierdlem79.i |
|
16 |
2
|
fourierdlem2 |
|
17 |
3 16
|
syl |
|
18 |
4 17
|
mpbid |
|
19 |
18
|
simpld |
|
20 |
|
elmapi |
|
21 |
19 20
|
syl |
|
22 |
21
|
adantr |
|
23 |
2 3 4 1 12 13 15
|
fourierdlem37 |
|
24 |
23
|
simpld |
|
25 |
|
fzossfz |
|
26 |
25
|
a1i |
|
27 |
24 26
|
fssd |
|
28 |
27
|
adantr |
|
29 |
1 2 3 4 5 6 7 8 9 10 11
|
fourierdlem54 |
|
30 |
29
|
simpld |
|
31 |
30
|
simprd |
|
32 |
31
|
adantr |
|
33 |
30
|
simpld |
|
34 |
33
|
adantr |
|
35 |
8
|
fourierdlem2 |
|
36 |
34 35
|
syl |
|
37 |
32 36
|
mpbid |
|
38 |
37
|
simpld |
|
39 |
|
elmapi |
|
40 |
38 39
|
syl |
|
41 |
|
elfzofz |
|
42 |
41
|
adantl |
|
43 |
40 42
|
ffvelrnd |
|
44 |
28 43
|
ffvelrnd |
|
45 |
22 44
|
ffvelrnd |
|
46 |
45
|
rexrd |
|
47 |
24
|
adantr |
|
48 |
47 43
|
ffvelrnd |
|
49 |
|
fzofzp1 |
|
50 |
48 49
|
syl |
|
51 |
22 50
|
ffvelrnd |
|
52 |
51
|
rexrd |
|
53 |
15
|
a1i |
|
54 |
|
fveq2 |
|
55 |
54
|
fveq2d |
|
56 |
55
|
breq2d |
|
57 |
56
|
rabbidv |
|
58 |
57
|
supeq1d |
|
59 |
58
|
adantl |
|
60 |
|
ltso |
|
61 |
60
|
supex |
|
62 |
61
|
a1i |
|
63 |
53 59 43 62
|
fvmptd |
|
64 |
63
|
fveq2d |
|
65 |
|
simpl |
|
66 |
65 43
|
jca |
|
67 |
|
eleq1 |
|
68 |
67
|
anbi2d |
|
69 |
58 57
|
eleq12d |
|
70 |
68 69
|
imbi12d |
|
71 |
23
|
simprd |
|
72 |
71
|
imp |
|
73 |
70 72
|
vtoclg |
|
74 |
43 66 73
|
sylc |
|
75 |
|
nfrab1 |
|
76 |
|
nfcv |
|
77 |
|
nfcv |
|
78 |
75 76 77
|
nfsup |
|
79 |
|
nfcv |
|
80 |
|
nfcv |
|
81 |
80 78
|
nffv |
|
82 |
|
nfcv |
|
83 |
|
nfcv |
|
84 |
81 82 83
|
nfbr |
|
85 |
|
fveq2 |
|
86 |
85
|
breq1d |
|
87 |
78 79 84 86
|
elrabf |
|
88 |
74 87
|
sylib |
|
89 |
88
|
simprd |
|
90 |
64 89
|
eqbrtrd |
|
91 |
3
|
ad2antrr |
|
92 |
4
|
ad2antrr |
|
93 |
5
|
ad2antrr |
|
94 |
6
|
ad2antrr |
|
95 |
7
|
ad2antrr |
|
96 |
|
0le1 |
|
97 |
96
|
a1i |
|
98 |
3
|
nnge1d |
|
99 |
|
1zzd |
|
100 |
|
0zd |
|
101 |
3
|
nnzd |
|
102 |
|
elfz |
|
103 |
99 100 101 102
|
syl3anc |
|
104 |
97 98 103
|
mpbir2and |
|
105 |
104
|
ad2antrr |
|
106 |
|
simplr |
|
107 |
|
fzofzp1 |
|
108 |
107
|
adantl |
|
109 |
40 108
|
ffvelrnd |
|
110 |
109 43
|
resubcld |
|
111 |
110
|
rehalfcld |
|
112 |
21 104
|
ffvelrnd |
|
113 |
2 3 4
|
fourierdlem11 |
|
114 |
113
|
simp1d |
|
115 |
112 114
|
resubcld |
|
116 |
115
|
rehalfcld |
|
117 |
116
|
adantr |
|
118 |
111 117
|
ifcld |
|
119 |
43 118
|
readdcld |
|
120 |
14 119
|
eqeltrid |
|
121 |
|
2re |
|
122 |
121
|
a1i |
|
123 |
|
elfzoelz |
|
124 |
123
|
zred |
|
125 |
124
|
ltp1d |
|
126 |
125
|
adantl |
|
127 |
29
|
simprd |
|
128 |
127
|
adantr |
|
129 |
|
isorel |
|
130 |
128 42 108 129
|
syl12anc |
|
131 |
126 130
|
mpbid |
|
132 |
43 109
|
posdifd |
|
133 |
131 132
|
mpbid |
|
134 |
|
2pos |
|
135 |
134
|
a1i |
|
136 |
110 122 133 135
|
divgt0d |
|
137 |
111 136
|
elrpd |
|
138 |
121
|
a1i |
|
139 |
3
|
nngt0d |
|
140 |
|
fzolb |
|
141 |
100 101 139 140
|
syl3anbrc |
|
142 |
|
0re |
|
143 |
|
eleq1 |
|
144 |
143
|
anbi2d |
|
145 |
|
fveq2 |
|
146 |
|
oveq1 |
|
147 |
146
|
fveq2d |
|
148 |
145 147
|
breq12d |
|
149 |
144 148
|
imbi12d |
|
150 |
18
|
simprd |
|
151 |
150
|
simprd |
|
152 |
151
|
r19.21bi |
|
153 |
149 152
|
vtoclg |
|
154 |
142 153
|
ax-mp |
|
155 |
141 154
|
mpdan |
|
156 |
150
|
simpld |
|
157 |
156
|
simpld |
|
158 |
|
0p1e1 |
|
159 |
158
|
fveq2i |
|
160 |
159
|
a1i |
|
161 |
155 157 160
|
3brtr3d |
|
162 |
114 112
|
posdifd |
|
163 |
161 162
|
mpbid |
|
164 |
134
|
a1i |
|
165 |
115 138 163 164
|
divgt0d |
|
166 |
116 165
|
elrpd |
|
167 |
166
|
adantr |
|
168 |
137 167
|
ifcld |
|
169 |
43 168
|
ltaddrpd |
|
170 |
43 119 169
|
ltled |
|
171 |
170 14
|
breqtrrdi |
|
172 |
43 111
|
readdcld |
|
173 |
|
iftrue |
|
174 |
173
|
adantl |
|
175 |
111
|
leidd |
|
176 |
175
|
adantr |
|
177 |
174 176
|
eqbrtrd |
|
178 |
|
iffalse |
|
179 |
178
|
adantl |
|
180 |
115
|
ad2antrr |
|
181 |
110
|
adantr |
|
182 |
|
2rp |
|
183 |
182
|
a1i |
|
184 |
|
simpr |
|
185 |
180 181 184
|
nltled |
|
186 |
180 181 183 185
|
lediv1dd |
|
187 |
179 186
|
eqbrtrd |
|
188 |
177 187
|
pm2.61dan |
|
189 |
118 111 43 188
|
leadd2dd |
|
190 |
43
|
recnd |
|
191 |
109
|
recnd |
|
192 |
190 191
|
addcomd |
|
193 |
192
|
oveq1d |
|
194 |
193
|
oveq1d |
|
195 |
|
halfaddsub |
|
196 |
191 190 195
|
syl2anc |
|
197 |
196
|
simprd |
|
198 |
194 197
|
eqtrd |
|
199 |
190 191
|
addcld |
|
200 |
199
|
halfcld |
|
201 |
111
|
recnd |
|
202 |
200 201 190
|
subsub23d |
|
203 |
198 202
|
mpbid |
|
204 |
200 190 201
|
subaddd |
|
205 |
203 204
|
mpbid |
|
206 |
|
avglt2 |
|
207 |
43 109 206
|
syl2anc |
|
208 |
131 207
|
mpbid |
|
209 |
205 208
|
eqbrtrd |
|
210 |
119 172 109 189 209
|
lelttrd |
|
211 |
14 210
|
eqbrtrid |
|
212 |
109
|
rexrd |
|
213 |
|
elico2 |
|
214 |
43 212 213
|
syl2anc |
|
215 |
120 171 211 214
|
mpbir3and |
|
216 |
215
|
adantr |
|
217 |
114
|
ad2antrr |
|
218 |
113
|
simp2d |
|
219 |
218
|
ad2antrr |
|
220 |
113
|
simp3d |
|
221 |
220
|
ad2antrr |
|
222 |
43
|
adantr |
|
223 |
|
simpr |
|
224 |
169 14
|
breqtrrdi |
|
225 |
218 114
|
resubcld |
|
226 |
1 225
|
eqeltrid |
|
227 |
226
|
adantr |
|
228 |
111
|
adantr |
|
229 |
116
|
ad2antrr |
|
230 |
110
|
adantr |
|
231 |
115
|
ad2antrr |
|
232 |
182
|
a1i |
|
233 |
|
simpr |
|
234 |
230 231 232 233
|
ltdiv1dd |
|
235 |
228 229 234
|
ltled |
|
236 |
174 235
|
eqbrtrd |
|
237 |
178
|
adantl |
|
238 |
116
|
leidd |
|
239 |
238
|
adantr |
|
240 |
237 239
|
eqbrtrd |
|
241 |
240
|
adantlr |
|
242 |
236 241
|
pm2.61dan |
|
243 |
225
|
rehalfcld |
|
244 |
182
|
a1i |
|
245 |
114
|
rexrd |
|
246 |
218
|
rexrd |
|
247 |
2 3 4
|
fourierdlem15 |
|
248 |
247 104
|
ffvelrnd |
|
249 |
|
iccleub |
|
250 |
245 246 248 249
|
syl3anc |
|
251 |
112 218 114 250
|
lesub1dd |
|
252 |
115 225 244 251
|
lediv1dd |
|
253 |
1
|
eqcomi |
|
254 |
253
|
oveq1i |
|
255 |
114 218
|
posdifd |
|
256 |
220 255
|
mpbid |
|
257 |
256 1
|
breqtrrdi |
|
258 |
226 257
|
elrpd |
|
259 |
|
rphalflt |
|
260 |
258 259
|
syl |
|
261 |
254 260
|
eqbrtrid |
|
262 |
116 243 226 252 261
|
lelttrd |
|
263 |
116 226 262
|
ltled |
|
264 |
263
|
adantr |
|
265 |
118 117 227 242 264
|
letrd |
|
266 |
118 227 43 265
|
leadd2dd |
|
267 |
14 266
|
eqbrtrid |
|
268 |
43
|
rexrd |
|
269 |
43 227
|
readdcld |
|
270 |
|
elioc2 |
|
271 |
268 269 270
|
syl2anc |
|
272 |
120 224 267 271
|
mpbir3and |
|
273 |
272
|
adantr |
|
274 |
217 219 221 1 12 222 223 273
|
fourierdlem26 |
|
275 |
14
|
a1i |
|
276 |
275
|
oveq1d |
|
277 |
276
|
oveq2d |
|
278 |
277
|
adantr |
|
279 |
118
|
recnd |
|
280 |
190 279
|
pncan2d |
|
281 |
280
|
oveq2d |
|
282 |
281
|
adantr |
|
283 |
274 278 282
|
3eqtrd |
|
284 |
173
|
oveq2d |
|
285 |
284
|
adantl |
|
286 |
114
|
adantr |
|
287 |
286 111
|
readdcld |
|
288 |
287
|
adantr |
|
289 |
286 117
|
readdcld |
|
290 |
289
|
adantr |
|
291 |
112
|
ad2antrr |
|
292 |
114
|
ad2antrr |
|
293 |
228 229 292 234
|
ltadd2dd |
|
294 |
112
|
recnd |
|
295 |
114
|
recnd |
|
296 |
|
halfaddsub |
|
297 |
294 295 296
|
syl2anc |
|
298 |
297
|
simprd |
|
299 |
298
|
oveq1d |
|
300 |
112 114
|
readdcld |
|
301 |
300
|
rehalfcld |
|
302 |
301
|
recnd |
|
303 |
116
|
recnd |
|
304 |
302 303
|
npcand |
|
305 |
299 304
|
eqtr3d |
|
306 |
112 112
|
readdcld |
|
307 |
114 112 112 161
|
ltadd2dd |
|
308 |
300 306 244 307
|
ltdiv1dd |
|
309 |
294
|
2timesd |
|
310 |
309
|
eqcomd |
|
311 |
310
|
oveq1d |
|
312 |
|
2cnd |
|
313 |
|
2ne0 |
|
314 |
313
|
a1i |
|
315 |
294 312 314
|
divcan3d |
|
316 |
311 315
|
eqtrd |
|
317 |
308 316
|
breqtrd |
|
318 |
305 317
|
eqbrtrd |
|
319 |
318
|
ad2antrr |
|
320 |
288 290 291 293 319
|
lttrd |
|
321 |
285 320
|
eqbrtrd |
|
322 |
178
|
oveq2d |
|
323 |
322
|
adantl |
|
324 |
318
|
ad2antrr |
|
325 |
323 324
|
eqbrtrd |
|
326 |
321 325
|
pm2.61dan |
|
327 |
326
|
adantr |
|
328 |
283 327
|
eqbrtrd |
|
329 |
|
eqid |
|
330 |
1 2 91 92 93 94 95 8 9 10 11 12 105 106 216 328 329
|
fourierdlem63 |
|
331 |
15
|
a1i |
|
332 |
58
|
adantl |
|
333 |
61
|
a1i |
|
334 |
331 332 222 333
|
fvmptd |
|
335 |
|
fveq2 |
|
336 |
13
|
a1i |
|
337 |
|
iftrue |
|
338 |
337
|
adantl |
|
339 |
|
ubioc1 |
|
340 |
245 246 220 339
|
syl3anc |
|
341 |
336 338 340 114
|
fvmptd |
|
342 |
335 341
|
sylan9eqr |
|
343 |
342
|
breq2d |
|
344 |
343
|
rabbidv |
|
345 |
344
|
supeq1d |
|
346 |
345
|
adantlr |
|
347 |
|
simpl |
|
348 |
|
elrabi |
|
349 |
348
|
adantl |
|
350 |
|
fveq2 |
|
351 |
350
|
breq1d |
|
352 |
351
|
elrab |
|
353 |
352
|
simprbi |
|
354 |
353
|
adantl |
|
355 |
|
simp3 |
|
356 |
114
|
ad2antrr |
|
357 |
112
|
ad2antrr |
|
358 |
21
|
adantr |
|
359 |
26
|
sselda |
|
360 |
358 359
|
ffvelrnd |
|
361 |
360
|
adantr |
|
362 |
161
|
ad2antrr |
|
363 |
|
1zzd |
|
364 |
|
elfzoelz |
|
365 |
364
|
ad2antlr |
|
366 |
|
1e0p1 |
|
367 |
|
simpr |
|
368 |
|
0red |
|
369 |
365
|
zred |
|
370 |
368 369
|
ltnled |
|
371 |
367 370
|
mpbird |
|
372 |
|
0zd |
|
373 |
|
zltp1le |
|
374 |
372 365 373
|
syl2anc |
|
375 |
371 374
|
mpbid |
|
376 |
366 375
|
eqbrtrid |
|
377 |
|
eluz2 |
|
378 |
363 365 376 377
|
syl3anbrc |
|
379 |
21
|
ad2antrr |
|
380 |
|
0red |
|
381 |
|
elfzelz |
|
382 |
381
|
zred |
|
383 |
|
1red |
|
384 |
|
0lt1 |
|
385 |
384
|
a1i |
|
386 |
|
elfzle1 |
|
387 |
380 383 382 385 386
|
ltletrd |
|
388 |
380 382 387
|
ltled |
|
389 |
388
|
adantl |
|
390 |
382
|
adantl |
|
391 |
101
|
zred |
|
392 |
391
|
ad2antrr |
|
393 |
364
|
zred |
|
394 |
393
|
ad2antlr |
|
395 |
|
elfzle2 |
|
396 |
395
|
adantl |
|
397 |
|
elfzolt2 |
|
398 |
397
|
ad2antlr |
|
399 |
390 394 392 396 398
|
lelttrd |
|
400 |
390 392 399
|
ltled |
|
401 |
381
|
adantl |
|
402 |
|
0zd |
|
403 |
101
|
ad2antrr |
|
404 |
|
elfz |
|
405 |
401 402 403 404
|
syl3anc |
|
406 |
389 400 405
|
mpbir2and |
|
407 |
379 406
|
ffvelrnd |
|
408 |
407
|
adantlr |
|
409 |
21
|
ad2antrr |
|
410 |
|
0zd |
|
411 |
101
|
ad2antrr |
|
412 |
|
elfzelz |
|
413 |
412
|
adantl |
|
414 |
410 411 413
|
3jca |
|
415 |
|
0red |
|
416 |
412
|
zred |
|
417 |
|
1red |
|
418 |
384
|
a1i |
|
419 |
|
elfzle1 |
|
420 |
415 417 416 418 419
|
ltletrd |
|
421 |
415 416 420
|
ltled |
|
422 |
421
|
adantl |
|
423 |
413
|
zred |
|
424 |
391
|
ad2antrr |
|
425 |
393
|
ad2antlr |
|
426 |
416
|
adantl |
|
427 |
|
peano2rem |
|
428 |
393 427
|
syl |
|
429 |
428
|
adantr |
|
430 |
393
|
adantr |
|
431 |
|
elfzle2 |
|
432 |
431
|
adantl |
|
433 |
430
|
ltm1d |
|
434 |
426 429 430 432 433
|
lelttrd |
|
435 |
434
|
adantll |
|
436 |
397
|
ad2antlr |
|
437 |
423 425 424 435 436
|
lttrd |
|
438 |
423 424 437
|
ltled |
|
439 |
414 422 438
|
jca32 |
|
440 |
|
elfz2 |
|
441 |
439 440
|
sylibr |
|
442 |
409 441
|
ffvelrnd |
|
443 |
413
|
peano2zd |
|
444 |
410 411 443
|
3jca |
|
445 |
416 417
|
readdcld |
|
446 |
416 417 420 418
|
addgt0d |
|
447 |
415 445 446
|
ltled |
|
448 |
447
|
adantl |
|
449 |
445
|
adantl |
|
450 |
445
|
recnd |
|
451 |
|
1cnd |
|
452 |
450 451
|
npcand |
|
453 |
452
|
eqcomd |
|
454 |
453
|
adantl |
|
455 |
|
peano2re |
|
456 |
|
peano2rem |
|
457 |
426 455 456
|
3syl |
|
458 |
|
peano2re |
|
459 |
|
peano2rem |
|
460 |
429 458 459
|
3syl |
|
461 |
|
1red |
|
462 |
|
elfzel2 |
|
463 |
462
|
zred |
|
464 |
463 417
|
readdcld |
|
465 |
416 463 417 431
|
leadd1dd |
|
466 |
445 464 417 465
|
lesub1dd |
|
467 |
466
|
adantl |
|
468 |
457 460 461 467
|
leadd1dd |
|
469 |
|
peano2zm |
|
470 |
364 469
|
syl |
|
471 |
470
|
peano2zd |
|
472 |
471
|
zcnd |
|
473 |
|
1cnd |
|
474 |
472 473
|
npcand |
|
475 |
393
|
recnd |
|
476 |
475 473
|
npcand |
|
477 |
474 476
|
eqtrd |
|
478 |
477
|
adantr |
|
479 |
468 478
|
breqtrd |
|
480 |
454 479
|
eqbrtrd |
|
481 |
480
|
adantll |
|
482 |
449 425 424 481 436
|
lelttrd |
|
483 |
449 424 482
|
ltled |
|
484 |
444 448 483
|
jca32 |
|
485 |
|
elfz2 |
|
486 |
484 485
|
sylibr |
|
487 |
409 486
|
ffvelrnd |
|
488 |
|
simpll |
|
489 |
|
0zd |
|
490 |
412
|
adantl |
|
491 |
421
|
adantl |
|
492 |
|
eluz2 |
|
493 |
489 490 491 492
|
syl3anbrc |
|
494 |
|
elfzoel2 |
|
495 |
494
|
adantr |
|
496 |
495
|
zred |
|
497 |
397
|
adantr |
|
498 |
426 430 496 434 497
|
lttrd |
|
499 |
|
elfzo2 |
|
500 |
493 495 498 499
|
syl3anbrc |
|
501 |
500
|
adantll |
|
502 |
|
eleq1 |
|
503 |
502
|
anbi2d |
|
504 |
|
fveq2 |
|
505 |
|
oveq1 |
|
506 |
505
|
fveq2d |
|
507 |
504 506
|
breq12d |
|
508 |
503 507
|
imbi12d |
|
509 |
508 152
|
chvarvv |
|
510 |
488 501 509
|
syl2anc |
|
511 |
442 487 510
|
ltled |
|
512 |
511
|
adantlr |
|
513 |
378 408 512
|
monoord |
|
514 |
356 357 361 362 513
|
ltletrd |
|
515 |
356 361
|
ltnled |
|
516 |
514 515
|
mpbid |
|
517 |
516
|
ex |
|
518 |
517
|
3adant3 |
|
519 |
355 518
|
mt4d |
|
520 |
|
elfzole1 |
|
521 |
520
|
3ad2ant2 |
|
522 |
393
|
3ad2ant2 |
|
523 |
|
0red |
|
524 |
522 523
|
letri3d |
|
525 |
519 521 524
|
mpbir2and |
|
526 |
347 349 354 525
|
syl3anc |
|
527 |
|
velsn |
|
528 |
526 527
|
sylibr |
|
529 |
528
|
ralrimiva |
|
530 |
|
dfss3 |
|
531 |
529 530
|
sylibr |
|
532 |
157 114
|
eqeltrd |
|
533 |
532 157
|
eqled |
|
534 |
145
|
breq1d |
|
535 |
534
|
elrab |
|
536 |
141 533 535
|
sylanbrc |
|
537 |
536
|
snssd |
|
538 |
531 537
|
eqssd |
|
539 |
538
|
supeq1d |
|
540 |
|
supsn |
|
541 |
60 142 540
|
mp2an |
|
542 |
541
|
a1i |
|
543 |
539 542
|
eqtrd |
|
544 |
543
|
ad2antrr |
|
545 |
334 346 544
|
3eqtrd |
|
546 |
545
|
oveq1d |
|
547 |
546
|
fveq2d |
|
548 |
547 159
|
eqtr2di |
|
549 |
330 548
|
breqtrd |
|
550 |
66
|
adantr |
|
551 |
|
simplr |
|
552 |
13
|
a1i |
|
553 |
|
simpr |
|
554 |
|
neqne |
|
555 |
554
|
adantr |
|
556 |
553 555
|
eqnetrd |
|
557 |
556
|
neneqd |
|
558 |
557
|
iffalsed |
|
559 |
558 553
|
eqtrd |
|
560 |
559
|
adantll |
|
561 |
114 218 220 1 12
|
fourierdlem4 |
|
562 |
561
|
adantr |
|
563 |
562 43
|
ffvelrnd |
|
564 |
563
|
adantr |
|
565 |
552 560 564 564
|
fvmptd |
|
566 |
565
|
eqcomd |
|
567 |
114 218 220 13
|
fourierdlem17 |
|
568 |
567
|
adantr |
|
569 |
114 218
|
iccssred |
|
570 |
569
|
adantr |
|
571 |
568 570
|
fssd |
|
572 |
571 563
|
ffvelrnd |
|
573 |
572
|
adantr |
|
574 |
566 573
|
eqeltrd |
|
575 |
218
|
ad2antrr |
|
576 |
245
|
adantr |
|
577 |
218
|
adantr |
|
578 |
|
elioc2 |
|
579 |
576 577 578
|
syl2anc |
|
580 |
563 579
|
mpbid |
|
581 |
580
|
simp3d |
|
582 |
581
|
adantr |
|
583 |
554
|
necomd |
|
584 |
583
|
adantl |
|
585 |
574 575 582 584
|
leneltd |
|
586 |
585
|
adantr |
|
587 |
|
oveq1 |
|
588 |
3
|
nncnd |
|
589 |
|
1cnd |
|
590 |
588 589
|
npcand |
|
591 |
587 590
|
sylan9eqr |
|
592 |
591
|
fveq2d |
|
593 |
156
|
simprd |
|
594 |
593
|
adantr |
|
595 |
592 594
|
eqtr2d |
|
596 |
595
|
adantlr |
|
597 |
596
|
adantlr |
|
598 |
586 597
|
breqtrd |
|
599 |
566
|
adantr |
|
600 |
|
ssrab2 |
|
601 |
|
fzssz |
|
602 |
25 601
|
sstri |
|
603 |
|
zssre |
|
604 |
602 603
|
sstri |
|
605 |
600 604
|
sstri |
|
606 |
605
|
a1i |
|
607 |
57
|
neeq1d |
|
608 |
68 607
|
imbi12d |
|
609 |
141
|
adantr |
|
610 |
533
|
ad2antrr |
|
611 |
|
iftrue |
|
612 |
611
|
eqcomd |
|
613 |
612
|
adantl |
|
614 |
610 613
|
breqtrd |
|
615 |
532
|
adantr |
|
616 |
114
|
adantr |
|
617 |
616
|
rexrd |
|
618 |
218
|
adantr |
|
619 |
|
iocssre |
|
620 |
617 618 619
|
syl2anc |
|
621 |
561
|
ffvelrnda |
|
622 |
620 621
|
sseldd |
|
623 |
157
|
adantr |
|
624 |
|
elioc2 |
|
625 |
617 618 624
|
syl2anc |
|
626 |
621 625
|
mpbid |
|
627 |
626
|
simp2d |
|
628 |
623 627
|
eqbrtrd |
|
629 |
615 622 628
|
ltled |
|
630 |
629
|
adantr |
|
631 |
|
iffalse |
|
632 |
631
|
eqcomd |
|
633 |
632
|
adantl |
|
634 |
630 633
|
breqtrd |
|
635 |
614 634
|
pm2.61dan |
|
636 |
13
|
a1i |
|
637 |
|
eqeq1 |
|
638 |
|
id |
|
639 |
637 638
|
ifbieq2d |
|
640 |
639
|
adantl |
|
641 |
616 622
|
ifcld |
|
642 |
636 640 621 641
|
fvmptd |
|
643 |
635 642
|
breqtrrd |
|
644 |
145
|
breq1d |
|
645 |
644
|
elrab |
|
646 |
609 643 645
|
sylanbrc |
|
647 |
|
ne0i |
|
648 |
646 647
|
syl |
|
649 |
608 648
|
vtoclg |
|
650 |
43 66 649
|
sylc |
|
651 |
650
|
ad2antrr |
|
652 |
605
|
a1i |
|
653 |
|
fzofi |
|
654 |
|
ssfi |
|
655 |
653 600 654
|
mp2an |
|
656 |
655
|
a1i |
|
657 |
|
fimaxre2 |
|
658 |
652 656 657
|
syl2anc |
|
659 |
658
|
ad2antrr |
|
660 |
|
0red |
|
661 |
604 48
|
sseldi |
|
662 |
|
1red |
|
663 |
661 662
|
readdcld |
|
664 |
|
elfzouz |
|
665 |
|
eluzle |
|
666 |
48 664 665
|
3syl |
|
667 |
384
|
a1i |
|
668 |
661 662 666 667
|
addgegt0d |
|
669 |
660 663 668
|
ltled |
|
670 |
669
|
adantr |
|
671 |
661
|
adantr |
|
672 |
|
1red |
|
673 |
391 672
|
resubcld |
|
674 |
673
|
ad2antrr |
|
675 |
|
1red |
|
676 |
|
elfzolt2 |
|
677 |
48 676
|
syl |
|
678 |
601 44
|
sseldi |
|
679 |
101
|
adantr |
|
680 |
|
zltlem1 |
|
681 |
678 679 680
|
syl2anc |
|
682 |
677 681
|
mpbid |
|
683 |
682
|
adantr |
|
684 |
|
neqne |
|
685 |
684
|
necomd |
|
686 |
685
|
adantl |
|
687 |
671 674 683 686
|
leneltd |
|
688 |
671 674 675 687
|
ltadd1dd |
|
689 |
590
|
ad2antrr |
|
690 |
688 689
|
breqtrd |
|
691 |
601 50
|
sseldi |
|
692 |
691
|
adantr |
|
693 |
|
0zd |
|
694 |
101
|
ad2antrr |
|
695 |
|
elfzo |
|
696 |
692 693 694 695
|
syl3anc |
|
697 |
670 690 696
|
mpbir2and |
|
698 |
697
|
adantr |
|
699 |
|
simpr |
|
700 |
|
fveq2 |
|
701 |
700
|
breq1d |
|
702 |
701
|
elrab |
|
703 |
698 699 702
|
sylanbrc |
|
704 |
|
suprub |
|
705 |
606 651 659 703 704
|
syl31anc |
|
706 |
63
|
eqcomd |
|
707 |
706
|
ad2antrr |
|
708 |
705 707
|
breqtrd |
|
709 |
661
|
ltp1d |
|
710 |
661 663
|
ltnled |
|
711 |
709 710
|
mpbid |
|
712 |
711
|
ad2antrr |
|
713 |
708 712
|
pm2.65da |
|
714 |
572
|
adantr |
|
715 |
51
|
adantr |
|
716 |
714 715
|
ltnled |
|
717 |
713 716
|
mpbird |
|
718 |
717
|
adantlr |
|
719 |
599 718
|
eqbrtrd |
|
720 |
598 719
|
pm2.61dan |
|
721 |
3
|
3ad2ant1 |
|
722 |
4
|
3ad2ant1 |
|
723 |
5
|
3ad2ant1 |
|
724 |
6
|
3ad2ant1 |
|
725 |
7
|
3ad2ant1 |
|
726 |
50
|
3adant3 |
|
727 |
|
simp2 |
|
728 |
43
|
leidd |
|
729 |
|
elico2 |
|
730 |
43 212 729
|
syl2anc |
|
731 |
43 728 131 730
|
mpbir3and |
|
732 |
731
|
3adant3 |
|
733 |
|
simp3 |
|
734 |
|
eqid |
|
735 |
1 2 721 722 723 724 725 8 9 10 11 12 726 727 732 733 734
|
fourierdlem63 |
|
736 |
735
|
3adant1r |
|
737 |
550 551 720 736
|
syl3anc |
|
738 |
549 737
|
pm2.61dan |
|
739 |
|
ioossioo |
|
740 |
46 52 90 738 739
|
syl22anc |
|