Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem41.a |
|
2 |
|
fourierdlem41.b |
|
3 |
|
fourierdlem41.altb |
|
4 |
|
fourierdlem41.t |
|
5 |
|
fourierdlem41.dper |
|
6 |
|
fourierdlem41.x |
|
7 |
|
fourierdlem41.z |
|
8 |
|
fourierdlem41.e |
|
9 |
|
fourierdlem41.p |
|
10 |
|
fourierdlem41.m |
|
11 |
|
fourierdlem41.q |
|
12 |
|
fourierdlem41.qssd |
|
13 |
|
simpr |
|
14 |
9
|
fourierdlem2 |
|
15 |
10 14
|
syl |
|
16 |
11 15
|
mpbid |
|
17 |
16
|
simpld |
|
18 |
|
elmapi |
|
19 |
|
ffn |
|
20 |
17 18 19
|
3syl |
|
21 |
20
|
adantr |
|
22 |
|
fvelrnb |
|
23 |
21 22
|
syl |
|
24 |
13 23
|
mpbid |
|
25 |
|
0zd |
|
26 |
|
elfzelz |
|
27 |
26
|
3ad2ant2 |
|
28 |
|
1zzd |
|
29 |
27 28
|
zsubcld |
|
30 |
|
simpll |
|
31 |
|
elfzle1 |
|
32 |
31
|
anim1i |
|
33 |
|
0red |
|
34 |
26
|
zred |
|
35 |
34
|
adantr |
|
36 |
33 35
|
eqleltd |
|
37 |
32 36
|
mpbird |
|
38 |
37
|
eqcomd |
|
39 |
38
|
adantll |
|
40 |
|
fveq2 |
|
41 |
16
|
simprld |
|
42 |
41
|
simpld |
|
43 |
40 42
|
sylan9eqr |
|
44 |
30 39 43
|
syl2anc |
|
45 |
44
|
3adantl3 |
|
46 |
|
simpr |
|
47 |
1
|
rexrd |
|
48 |
2
|
rexrd |
|
49 |
|
eqid |
|
50 |
1 2 3 4 49
|
fourierdlem4 |
|
51 |
8
|
a1i |
|
52 |
|
simpr |
|
53 |
2
|
adantr |
|
54 |
53 52
|
resubcld |
|
55 |
2 1
|
resubcld |
|
56 |
4 55
|
eqeltrid |
|
57 |
56
|
adantr |
|
58 |
|
0red |
|
59 |
1 2
|
posdifd |
|
60 |
3 59
|
mpbid |
|
61 |
4
|
eqcomi |
|
62 |
61
|
a1i |
|
63 |
60 62
|
breqtrd |
|
64 |
58 63
|
gtned |
|
65 |
64
|
adantr |
|
66 |
54 57 65
|
redivcld |
|
67 |
66
|
flcld |
|
68 |
67
|
zred |
|
69 |
68 57
|
remulcld |
|
70 |
7
|
fvmpt2 |
|
71 |
52 69 70
|
syl2anc |
|
72 |
71
|
oveq2d |
|
73 |
72
|
mpteq2dva |
|
74 |
51 73
|
eqtrd |
|
75 |
74
|
feq1d |
|
76 |
50 75
|
mpbird |
|
77 |
76 6
|
ffvelrnd |
|
78 |
|
iocgtlb |
|
79 |
47 48 77 78
|
syl3anc |
|
80 |
1 79
|
gtned |
|
81 |
80
|
adantr |
|
82 |
46 81
|
eqnetrd |
|
83 |
82
|
adantr |
|
84 |
83
|
3adantl2 |
|
85 |
84
|
neneqd |
|
86 |
45 85
|
condan |
|
87 |
|
zltlem1 |
|
88 |
25 27 87
|
syl2anc |
|
89 |
86 88
|
mpbid |
|
90 |
|
eluz2 |
|
91 |
25 29 89 90
|
syl3anbrc |
|
92 |
|
elfzel2 |
|
93 |
92
|
3ad2ant2 |
|
94 |
|
1red |
|
95 |
34 94
|
resubcld |
|
96 |
92
|
zred |
|
97 |
34
|
ltm1d |
|
98 |
|
elfzle2 |
|
99 |
95 34 96 97 98
|
ltletrd |
|
100 |
99
|
3ad2ant2 |
|
101 |
|
elfzo2 |
|
102 |
91 93 100 101
|
syl3anbrc |
|
103 |
17 18
|
syl |
|
104 |
103
|
3ad2ant1 |
|
105 |
25 93 29
|
3jca |
|
106 |
95 96 99
|
ltled |
|
107 |
106
|
3ad2ant2 |
|
108 |
105 89 107
|
jca32 |
|
109 |
|
elfz2 |
|
110 |
108 109
|
sylibr |
|
111 |
104 110
|
ffvelrnd |
|
112 |
111
|
rexrd |
|
113 |
34
|
recnd |
|
114 |
|
1cnd |
|
115 |
113 114
|
npcand |
|
116 |
115
|
fveq2d |
|
117 |
116
|
adantl |
|
118 |
103
|
ffvelrnda |
|
119 |
118
|
rexrd |
|
120 |
117 119
|
eqeltrd |
|
121 |
120
|
3adant3 |
|
122 |
|
id |
|
123 |
|
fveq2 |
|
124 |
122 123
|
oveq12d |
|
125 |
124
|
adantl |
|
126 |
7
|
a1i |
|
127 |
|
oveq2 |
|
128 |
127
|
oveq1d |
|
129 |
128
|
fveq2d |
|
130 |
129
|
oveq1d |
|
131 |
130
|
adantl |
|
132 |
2 6
|
resubcld |
|
133 |
132 56 64
|
redivcld |
|
134 |
133
|
flcld |
|
135 |
134
|
zred |
|
136 |
135 56
|
remulcld |
|
137 |
126 131 6 136
|
fvmptd |
|
138 |
137 136
|
eqeltrd |
|
139 |
6 138
|
readdcld |
|
140 |
51 125 6 139
|
fvmptd |
|
141 |
140 139
|
eqeltrd |
|
142 |
141
|
rexrd |
|
143 |
142
|
3ad2ant1 |
|
144 |
|
simp1 |
|
145 |
|
ovex |
|
146 |
|
eleq1 |
|
147 |
146
|
anbi2d |
|
148 |
|
fveq2 |
|
149 |
|
oveq1 |
|
150 |
149
|
fveq2d |
|
151 |
148 150
|
breq12d |
|
152 |
147 151
|
imbi12d |
|
153 |
16
|
simprrd |
|
154 |
153
|
r19.21bi |
|
155 |
145 152 154
|
vtocl |
|
156 |
144 102 155
|
syl2anc |
|
157 |
116
|
3ad2ant2 |
|
158 |
156 157
|
breqtrd |
|
159 |
|
simp3 |
|
160 |
158 159
|
breqtrd |
|
161 |
141
|
leidd |
|
162 |
161
|
adantr |
|
163 |
46
|
eqcomd |
|
164 |
162 163
|
breqtrd |
|
165 |
164
|
3adant2 |
|
166 |
115
|
eqcomd |
|
167 |
166
|
fveq2d |
|
168 |
167
|
3ad2ant2 |
|
169 |
165 168
|
breqtrd |
|
170 |
112 121 143 160 169
|
eliocd |
|
171 |
148 150
|
oveq12d |
|
172 |
171
|
eleq2d |
|
173 |
172
|
rspcev |
|
174 |
102 170 173
|
syl2anc |
|
175 |
174
|
3exp |
|
176 |
175
|
adantr |
|
177 |
176
|
rexlimdv |
|
178 |
24 177
|
mpd |
|
179 |
10
|
adantr |
|
180 |
103
|
adantr |
|
181 |
|
iocssicc |
|
182 |
41
|
simprd |
|
183 |
42 182
|
oveq12d |
|
184 |
77 183
|
eleqtrrd |
|
185 |
181 184
|
sseldi |
|
186 |
185
|
adantr |
|
187 |
|
simpr |
|
188 |
|
fveq2 |
|
189 |
188
|
breq1d |
|
190 |
189
|
cbvrabv |
|
191 |
190
|
supeq1i |
|
192 |
179 180 186 187 191
|
fourierdlem25 |
|
193 |
|
ioossioc |
|
194 |
193
|
a1i |
|
195 |
194
|
sseld |
|
196 |
195
|
reximdva |
|
197 |
192 196
|
mpd |
|
198 |
178 197
|
pm2.61dan |
|
199 |
103
|
adantr |
|
200 |
|
elfzofz |
|
201 |
200
|
adantl |
|
202 |
199 201
|
ffvelrnd |
|
203 |
202
|
3adant3 |
|
204 |
138
|
3ad2ant1 |
|
205 |
203 204
|
resubcld |
|
206 |
141
|
3ad2ant1 |
|
207 |
203
|
rexrd |
|
208 |
|
fzofzp1 |
|
209 |
208
|
adantl |
|
210 |
199 209
|
ffvelrnd |
|
211 |
210
|
rexrd |
|
212 |
211
|
3adant3 |
|
213 |
|
simp3 |
|
214 |
|
iocgtlb |
|
215 |
207 212 213 214
|
syl3anc |
|
216 |
203 206 204 215
|
ltsub1dd |
|
217 |
140
|
oveq1d |
|
218 |
6
|
recnd |
|
219 |
138
|
recnd |
|
220 |
218 219
|
pncand |
|
221 |
217 220
|
eqtrd |
|
222 |
221
|
3ad2ant1 |
|
223 |
216 222
|
breqtrd |
|
224 |
|
elioore |
|
225 |
137
|
oveq2d |
|
226 |
135
|
recnd |
|
227 |
56
|
recnd |
|
228 |
226 227
|
mulneg1d |
|
229 |
225 228
|
oveq12d |
|
230 |
229
|
adantr |
|
231 |
|
simpr |
|
232 |
136
|
adantr |
|
233 |
231 232
|
readdcld |
|
234 |
233
|
recnd |
|
235 |
232
|
recnd |
|
236 |
234 235
|
negsubd |
|
237 |
231
|
recnd |
|
238 |
237 235
|
pncand |
|
239 |
230 236 238
|
3eqtrrd |
|
240 |
224 239
|
sylan2 |
|
241 |
240
|
3ad2antl1 |
|
242 |
|
simpl1 |
|
243 |
12
|
3adant3 |
|
244 |
243
|
adantr |
|
245 |
207
|
adantr |
|
246 |
212
|
adantr |
|
247 |
224
|
adantl |
|
248 |
138
|
adantr |
|
249 |
247 248
|
readdcld |
|
250 |
249
|
3ad2antl1 |
|
251 |
138
|
adantr |
|
252 |
202 251
|
resubcld |
|
253 |
252
|
rexrd |
|
254 |
253
|
adantr |
|
255 |
6
|
rexrd |
|
256 |
255
|
ad2antrr |
|
257 |
|
simpr |
|
258 |
|
ioogtlb |
|
259 |
254 256 257 258
|
syl3anc |
|
260 |
202
|
adantr |
|
261 |
138
|
ad2antrr |
|
262 |
224
|
adantl |
|
263 |
260 261 262
|
ltsubaddd |
|
264 |
259 263
|
mpbid |
|
265 |
264
|
3adantl3 |
|
266 |
242 141
|
syl |
|
267 |
210
|
adantr |
|
268 |
267
|
3adantl3 |
|
269 |
6
|
ad2antrr |
|
270 |
|
iooltub |
|
271 |
254 256 257 270
|
syl3anc |
|
272 |
262 269 261 271
|
ltadd1dd |
|
273 |
140
|
eqcomd |
|
274 |
273
|
ad2antrr |
|
275 |
272 274
|
breqtrd |
|
276 |
275
|
3adantl3 |
|
277 |
|
iocleub |
|
278 |
207 212 213 277
|
syl3anc |
|
279 |
278
|
adantr |
|
280 |
250 266 268 276 279
|
ltletrd |
|
281 |
245 246 250 265 280
|
eliood |
|
282 |
244 281
|
sseldd |
|
283 |
242 133
|
syl |
|
284 |
283
|
flcld |
|
285 |
284
|
znegcld |
|
286 |
|
negex |
|
287 |
|
eleq1 |
|
288 |
287
|
3anbi3d |
|
289 |
|
oveq1 |
|
290 |
289
|
oveq2d |
|
291 |
290
|
eleq1d |
|
292 |
288 291
|
imbi12d |
|
293 |
|
ovex |
|
294 |
|
eleq1 |
|
295 |
294
|
3anbi2d |
|
296 |
|
oveq1 |
|
297 |
296
|
eleq1d |
|
298 |
295 297
|
imbi12d |
|
299 |
293 298 5
|
vtocl |
|
300 |
286 292 299
|
vtocl |
|
301 |
242 282 285 300
|
syl3anc |
|
302 |
241 301
|
eqeltrd |
|
303 |
302
|
ralrimiva |
|
304 |
|
dfss3 |
|
305 |
303 304
|
sylibr |
|
306 |
|
breq1 |
|
307 |
|
oveq1 |
|
308 |
307
|
sseq1d |
|
309 |
306 308
|
anbi12d |
|
310 |
309
|
rspcev |
|
311 |
205 223 305 310
|
syl12anc |
|
312 |
311
|
3exp |
|
313 |
312
|
rexlimdv |
|
314 |
198 313
|
mpd |
|
315 |
|
0zd |
|
316 |
10
|
nnzd |
|
317 |
|
1zzd |
|
318 |
315 316 317
|
3jca |
|
319 |
|
0le1 |
|
320 |
319
|
a1i |
|
321 |
10
|
nnge1d |
|
322 |
318 320 321
|
jca32 |
|
323 |
|
elfz2 |
|
324 |
322 323
|
sylibr |
|
325 |
103 324
|
ffvelrnd |
|
326 |
138 56
|
resubcld |
|
327 |
325 326
|
resubcld |
|
328 |
327
|
adantr |
|
329 |
1
|
recnd |
|
330 |
329 227
|
pncand |
|
331 |
330
|
adantr |
|
332 |
4
|
oveq2i |
|
333 |
332
|
a1i |
|
334 |
2
|
recnd |
|
335 |
329 334
|
pncan3d |
|
336 |
335
|
adantr |
|
337 |
|
id |
|
338 |
337
|
eqcomd |
|
339 |
338
|
adantl |
|
340 |
333 336 339
|
3eqtrrd |
|
341 |
340
|
oveq1d |
|
342 |
42
|
adantr |
|
343 |
331 341 342
|
3eqtr4rd |
|
344 |
343
|
oveq1d |
|
345 |
141
|
recnd |
|
346 |
345 219 227
|
nnncan2d |
|
347 |
346
|
adantr |
|
348 |
221
|
adantr |
|
349 |
344 347 348
|
3eqtrrd |
|
350 |
42 1
|
eqeltrd |
|
351 |
10
|
nngt0d |
|
352 |
|
fzolb |
|
353 |
315 316 351 352
|
syl3anbrc |
|
354 |
|
0re |
|
355 |
|
eleq1 |
|
356 |
355
|
anbi2d |
|
357 |
|
fveq2 |
|
358 |
|
oveq1 |
|
359 |
358
|
fveq2d |
|
360 |
357 359
|
breq12d |
|
361 |
356 360
|
imbi12d |
|
362 |
361 154
|
vtoclg |
|
363 |
354 362
|
ax-mp |
|
364 |
353 363
|
mpdan |
|
365 |
|
0p1e1 |
|
366 |
365
|
fveq2i |
|
367 |
366
|
a1i |
|
368 |
364 367
|
breqtrd |
|
369 |
350 325 326 368
|
ltsub1dd |
|
370 |
369
|
adantr |
|
371 |
349 370
|
eqbrtrd |
|
372 |
|
elioore |
|
373 |
137
|
eqcomd |
|
374 |
373
|
negeqd |
|
375 |
228 374
|
eqtrd |
|
376 |
227
|
mulid2d |
|
377 |
375 376
|
oveq12d |
|
378 |
226
|
negcld |
|
379 |
|
1cnd |
|
380 |
378 379 227
|
adddird |
|
381 |
219 227
|
negsubdid |
|
382 |
377 380 381
|
3eqtr4d |
|
383 |
382
|
oveq2d |
|
384 |
383
|
adantr |
|
385 |
326
|
adantr |
|
386 |
231 385
|
readdcld |
|
387 |
386
|
recnd |
|
388 |
385
|
recnd |
|
389 |
387 388
|
negsubd |
|
390 |
237 388
|
pncand |
|
391 |
384 389 390
|
3eqtrrd |
|
392 |
372 391
|
sylan2 |
|
393 |
392
|
adantlr |
|
394 |
|
simpll |
|
395 |
367
|
eqcomd |
|
396 |
395
|
oveq2d |
|
397 |
357 359
|
oveq12d |
|
398 |
397
|
sseq1d |
|
399 |
356 398
|
imbi12d |
|
400 |
399 12
|
vtoclg |
|
401 |
354 400
|
ax-mp |
|
402 |
353 401
|
mpdan |
|
403 |
396 402
|
eqsstrd |
|
404 |
403
|
ad2antrr |
|
405 |
42 47
|
eqeltrd |
|
406 |
405
|
ad2antrr |
|
407 |
325
|
rexrd |
|
408 |
407
|
ad2antrr |
|
409 |
372 386
|
sylan2 |
|
410 |
409
|
adantlr |
|
411 |
345 218 219
|
subaddd |
|
412 |
273 411
|
mpbird |
|
413 |
|
oveq1 |
|
414 |
412 413
|
sylan9req |
|
415 |
414
|
oveq1d |
|
416 |
415
|
oveq2d |
|
417 |
132
|
recnd |
|
418 |
218 417 227
|
addsubassd |
|
419 |
418
|
eqcomd |
|
420 |
419
|
adantr |
|
421 |
334 227 329
|
subsub23d |
|
422 |
62 421
|
mpbird |
|
423 |
218 334
|
pncan3d |
|
424 |
423
|
oveq1d |
|
425 |
422 424 42
|
3eqtr4d |
|
426 |
425
|
adantr |
|
427 |
416 420 426
|
3eqtrrd |
|
428 |
427
|
adantr |
|
429 |
6
|
adantr |
|
430 |
372
|
adantl |
|
431 |
326
|
adantr |
|
432 |
255
|
adantr |
|
433 |
327
|
rexrd |
|
434 |
433
|
adantr |
|
435 |
|
simpr |
|
436 |
|
ioogtlb |
|
437 |
432 434 435 436
|
syl3anc |
|
438 |
429 430 431 437
|
ltadd1dd |
|
439 |
438
|
adantlr |
|
440 |
428 439
|
eqbrtrd |
|
441 |
|
iooltub |
|
442 |
432 434 435 441
|
syl3anc |
|
443 |
325
|
adantr |
|
444 |
430 431 443
|
ltaddsubd |
|
445 |
442 444
|
mpbird |
|
446 |
445
|
adantlr |
|
447 |
406 408 410 440 446
|
eliood |
|
448 |
404 447
|
sseldd |
|
449 |
134
|
znegcld |
|
450 |
449
|
peano2zd |
|
451 |
450
|
ad2antrr |
|
452 |
|
ovex |
|
453 |
|
eleq1 |
|
454 |
453
|
3anbi3d |
|
455 |
|
oveq1 |
|
456 |
455
|
oveq2d |
|
457 |
456
|
eleq1d |
|
458 |
454 457
|
imbi12d |
|
459 |
|
ovex |
|
460 |
|
eleq1 |
|
461 |
460
|
3anbi2d |
|
462 |
|
oveq1 |
|
463 |
462
|
eleq1d |
|
464 |
461 463
|
imbi12d |
|
465 |
459 464 5
|
vtocl |
|
466 |
452 458 465
|
vtocl |
|
467 |
394 448 451 466
|
syl3anc |
|
468 |
393 467
|
eqeltrd |
|
469 |
468
|
ralrimiva |
|
470 |
|
dfss3 |
|
471 |
469 470
|
sylibr |
|
472 |
|
breq2 |
|
473 |
|
oveq2 |
|
474 |
473
|
sseq1d |
|
475 |
472 474
|
anbi12d |
|
476 |
475
|
rspcev |
|
477 |
328 371 471 476
|
syl12anc |
|
478 |
24
|
adantlr |
|
479 |
|
simp2 |
|
480 |
34
|
3ad2ant2 |
|
481 |
96
|
3ad2ant2 |
|
482 |
98
|
3ad2ant2 |
|
483 |
|
id |
|
484 |
483
|
eqcomd |
|
485 |
484
|
adantr |
|
486 |
485
|
3ad2antl3 |
|
487 |
|
fveq2 |
|
488 |
487
|
eqcomd |
|
489 |
488
|
adantl |
|
490 |
182
|
ad2antrr |
|
491 |
490
|
3ad2antl1 |
|
492 |
486 489 491
|
3eqtrd |
|
493 |
|
neneq |
|
494 |
493
|
ad2antlr |
|
495 |
494
|
3ad2antl1 |
|
496 |
492 495
|
pm2.65da |
|
497 |
496
|
neqned |
|
498 |
480 481 482 497
|
leneltd |
|
499 |
|
elfzfzo |
|
500 |
479 498 499
|
sylanbrc |
|
501 |
119
|
adantlr |
|
502 |
501
|
3adant3 |
|
503 |
|
simp1l |
|
504 |
103
|
adantr |
|
505 |
|
fzofzp1 |
|
506 |
505
|
adantl |
|
507 |
504 506
|
ffvelrnd |
|
508 |
507
|
rexrd |
|
509 |
503 500 508
|
syl2anc |
|
510 |
143
|
3adant1r |
|
511 |
46 162
|
eqbrtrd |
|
512 |
511
|
adantlr |
|
513 |
512
|
3adant2 |
|
514 |
484
|
3ad2ant3 |
|
515 |
|
eleq1 |
|
516 |
515
|
anbi2d |
|
517 |
|
fveq2 |
|
518 |
|
oveq1 |
|
519 |
518
|
fveq2d |
|
520 |
517 519
|
breq12d |
|
521 |
516 520
|
imbi12d |
|
522 |
521 154
|
chvarvv |
|
523 |
503 500 522
|
syl2anc |
|
524 |
514 523
|
eqbrtrd |
|
525 |
502 509 510 513 524
|
elicod |
|
526 |
517 519
|
oveq12d |
|
527 |
526
|
eleq2d |
|
528 |
527
|
rspcev |
|
529 |
500 525 528
|
syl2anc |
|
530 |
529
|
3exp |
|
531 |
530
|
adantr |
|
532 |
531
|
rexlimdv |
|
533 |
478 532
|
mpd |
|
534 |
|
ioossico |
|
535 |
|
simpr |
|
536 |
534 535
|
sseldi |
|
537 |
536
|
ex |
|
538 |
537
|
adantlr |
|
539 |
538
|
reximdva |
|
540 |
192 539
|
mpd |
|
541 |
540
|
adantlr |
|
542 |
533 541
|
pm2.61dan |
|
543 |
210 251
|
resubcld |
|
544 |
543
|
3adant3 |
|
545 |
221
|
eqcomd |
|
546 |
545
|
3ad2ant1 |
|
547 |
141
|
3ad2ant1 |
|
548 |
210
|
3adant3 |
|
549 |
138
|
3ad2ant1 |
|
550 |
202
|
rexrd |
|
551 |
550
|
3adant3 |
|
552 |
211
|
3adant3 |
|
553 |
|
simp3 |
|
554 |
|
icoltub |
|
555 |
551 552 553 554
|
syl3anc |
|
556 |
547 548 549 555
|
ltsub1dd |
|
557 |
546 556
|
eqbrtrd |
|
558 |
|
elioore |
|
559 |
558 239
|
sylan2 |
|
560 |
559
|
3ad2antl1 |
|
561 |
|
simpl1 |
|
562 |
12
|
3adant3 |
|
563 |
562
|
adantr |
|
564 |
551
|
adantr |
|
565 |
552
|
adantr |
|
566 |
558
|
adantl |
|
567 |
138
|
adantr |
|
568 |
566 567
|
readdcld |
|
569 |
568
|
3ad2antl1 |
|
570 |
202
|
3adant3 |
|
571 |
570
|
adantr |
|
572 |
561 141
|
syl |
|
573 |
|
icogelb |
|
574 |
551 552 553 573
|
syl3anc |
|
575 |
574
|
adantr |
|
576 |
140
|
ad2antrr |
|
577 |
6
|
ad2antrr |
|
578 |
558
|
adantl |
|
579 |
138
|
ad2antrr |
|
580 |
255
|
ad2antrr |
|
581 |
543
|
rexrd |
|
582 |
581
|
adantr |
|
583 |
|
simpr |
|
584 |
|
ioogtlb |
|
585 |
580 582 583 584
|
syl3anc |
|
586 |
577 578 579 585
|
ltadd1dd |
|
587 |
576 586
|
eqbrtrd |
|
588 |
587
|
3adantl3 |
|
589 |
571 572 569 575 588
|
lelttrd |
|
590 |
543
|
adantr |
|
591 |
|
iooltub |
|
592 |
580 582 583 591
|
syl3anc |
|
593 |
578 590 579 592
|
ltadd1dd |
|
594 |
210
|
recnd |
|
595 |
219
|
adantr |
|
596 |
594 595
|
npcand |
|
597 |
596
|
adantr |
|
598 |
593 597
|
breqtrd |
|
599 |
598
|
3adantl3 |
|
600 |
564 565 569 589 599
|
eliood |
|
601 |
563 600
|
sseldd |
|
602 |
561 449
|
syl |
|
603 |
561 601 602 300
|
syl3anc |
|
604 |
560 603
|
eqeltrd |
|
605 |
604
|
ralrimiva |
|
606 |
|
dfss3 |
|
607 |
605 606
|
sylibr |
|
608 |
|
breq2 |
|
609 |
|
oveq2 |
|
610 |
609
|
sseq1d |
|
611 |
608 610
|
anbi12d |
|
612 |
611
|
rspcev |
|
613 |
544 557 607 612
|
syl12anc |
|
614 |
613
|
3exp |
|
615 |
614
|
adantr |
|
616 |
615
|
rexlimdv |
|
617 |
542 616
|
mpd |
|
618 |
477 617
|
pm2.61dane |
|
619 |
314 618
|
jca |
|