Step |
Hyp |
Ref |
Expression |
1 |
|
itgspltprt.1 |
|
2 |
|
itgspltprt.2 |
|
3 |
|
itgspltprt.3 |
|
4 |
|
itgspltprt.4 |
|
5 |
|
itgspltprt.5 |
|
6 |
|
itgspltprt.6 |
|
7 |
1
|
peano2zd |
|
8 |
|
eluzelz |
|
9 |
2 8
|
syl |
|
10 |
7 9 9
|
3jca |
|
11 |
|
eluzle |
|
12 |
2 11
|
syl |
|
13 |
|
eluzelre |
|
14 |
2 13
|
syl |
|
15 |
14
|
leidd |
|
16 |
10 12 15
|
jca32 |
|
17 |
|
elfz2 |
|
18 |
16 17
|
sylibr |
|
19 |
|
fveq2 |
|
20 |
19
|
oveq2d |
|
21 |
20
|
itgeq1d |
|
22 |
|
oveq2 |
|
23 |
22
|
sumeq1d |
|
24 |
21 23
|
eqeq12d |
|
25 |
24
|
imbi2d |
|
26 |
|
fveq2 |
|
27 |
26
|
oveq2d |
|
28 |
27
|
itgeq1d |
|
29 |
|
oveq2 |
|
30 |
29
|
sumeq1d |
|
31 |
28 30
|
eqeq12d |
|
32 |
31
|
imbi2d |
|
33 |
|
fveq2 |
|
34 |
33
|
oveq2d |
|
35 |
34
|
itgeq1d |
|
36 |
|
oveq2 |
|
37 |
36
|
sumeq1d |
|
38 |
35 37
|
eqeq12d |
|
39 |
38
|
imbi2d |
|
40 |
|
fveq2 |
|
41 |
40
|
oveq2d |
|
42 |
41
|
itgeq1d |
|
43 |
|
oveq2 |
|
44 |
43
|
sumeq1d |
|
45 |
42 44
|
eqeq12d |
|
46 |
45
|
imbi2d |
|
47 |
1
|
adantl |
|
48 |
|
fzval3 |
|
49 |
47 48
|
syl |
|
50 |
49
|
eqcomd |
|
51 |
50
|
sumeq1d |
|
52 |
3
|
adantr |
|
53 |
1
|
zred |
|
54 |
|
1red |
|
55 |
53 54
|
readdcld |
|
56 |
53
|
ltp1d |
|
57 |
53 55 14 56 12
|
ltletrd |
|
58 |
53 14 57
|
ltled |
|
59 |
|
eluz |
|
60 |
1 9 59
|
syl2anc |
|
61 |
58 60
|
mpbird |
|
62 |
|
eluzfz1 |
|
63 |
61 62
|
syl |
|
64 |
63
|
adantr |
|
65 |
52 64
|
ffvelrnd |
|
66 |
|
elfz1 |
|
67 |
1 9 66
|
syl2anc |
|
68 |
9 58 15 67
|
mpbir3and |
|
69 |
3 68
|
ffvelrnd |
|
70 |
69
|
adantr |
|
71 |
53
|
lep1d |
|
72 |
|
elfz1 |
|
73 |
1 9 72
|
syl2anc |
|
74 |
7 71 12 73
|
mpbir3and |
|
75 |
3 74
|
ffvelrnd |
|
76 |
75
|
adantr |
|
77 |
|
simpr |
|
78 |
|
eliccre |
|
79 |
65 76 77 78
|
syl3anc |
|
80 |
3 63
|
ffvelrnd |
|
81 |
80
|
rexrd |
|
82 |
81
|
adantr |
|
83 |
76
|
rexrd |
|
84 |
|
iccgelb |
|
85 |
82 83 77 84
|
syl3anc |
|
86 |
|
iccleub |
|
87 |
82 83 77 86
|
syl3anc |
|
88 |
3
|
adantr |
|
89 |
|
elfzelz |
|
90 |
89
|
adantl |
|
91 |
53
|
adantr |
|
92 |
90
|
zred |
|
93 |
55
|
adantr |
|
94 |
56
|
adantr |
|
95 |
|
elfzle1 |
|
96 |
95
|
adantl |
|
97 |
91 93 92 94 96
|
ltletrd |
|
98 |
91 92 97
|
ltled |
|
99 |
|
elfzle2 |
|
100 |
99
|
adantl |
|
101 |
1 9
|
jca |
|
102 |
101
|
adantr |
|
103 |
|
elfz1 |
|
104 |
102 103
|
syl |
|
105 |
90 98 100 104
|
mpbir3and |
|
106 |
88 105
|
ffvelrnd |
|
107 |
3
|
adantr |
|
108 |
|
elfzelz |
|
109 |
108
|
adantl |
|
110 |
53
|
adantr |
|
111 |
109
|
zred |
|
112 |
55
|
adantr |
|
113 |
56
|
adantr |
|
114 |
|
elfzle1 |
|
115 |
114
|
adantl |
|
116 |
110 112 111 113 115
|
ltletrd |
|
117 |
110 111 116
|
ltled |
|
118 |
14
|
adantr |
|
119 |
|
1red |
|
120 |
118 119
|
resubcld |
|
121 |
|
elfzle2 |
|
122 |
121
|
adantl |
|
123 |
118
|
ltm1d |
|
124 |
111 120 118 122 123
|
lelttrd |
|
125 |
111 118 124
|
ltled |
|
126 |
101
|
adantr |
|
127 |
126 103
|
syl |
|
128 |
109 117 125 127
|
mpbir3and |
|
129 |
107 128
|
ffvelrnd |
|
130 |
109
|
peano2zd |
|
131 |
111 119
|
readdcld |
|
132 |
110 111 119 116
|
ltadd1dd |
|
133 |
110 112 131 113 132
|
lttrd |
|
134 |
110 131 133
|
ltled |
|
135 |
|
zltp1le |
|
136 |
108 9 135
|
syl2anr |
|
137 |
124 136
|
mpbid |
|
138 |
|
elfz1 |
|
139 |
126 138
|
syl |
|
140 |
130 134 137 139
|
mpbir3and |
|
141 |
107 140
|
ffvelrnd |
|
142 |
|
eluz |
|
143 |
1 108 142
|
syl2an |
|
144 |
117 143
|
mpbird |
|
145 |
9
|
adantr |
|
146 |
|
elfzo2 |
|
147 |
144 145 124 146
|
syl3anbrc |
|
148 |
147 4
|
syldan |
|
149 |
129 141 148
|
ltled |
|
150 |
2 106 149
|
monoord |
|
151 |
150
|
adantr |
|
152 |
79 76 70 87 151
|
letrd |
|
153 |
65 70 79 85 152
|
eliccd |
|
154 |
153 5
|
syldan |
|
155 |
|
id |
|
156 |
|
fzolb |
|
157 |
1 9 57 156
|
syl3anbrc |
|
158 |
155 157
|
jca |
|
159 |
|
eleq1 |
|
160 |
159
|
anbi2d |
|
161 |
|
fveq2 |
|
162 |
|
fvoveq1 |
|
163 |
161 162
|
oveq12d |
|
164 |
163
|
mpteq1d |
|
165 |
164
|
eleq1d |
|
166 |
160 165
|
imbi12d |
|
167 |
166 6
|
vtoclg |
|
168 |
1 158 167
|
sylc |
|
169 |
154 168
|
itgcl |
|
170 |
163
|
itgeq1d |
|
171 |
170
|
fsum1 |
|
172 |
1 169 171
|
syl2anc |
|
173 |
172
|
adantl |
|
174 |
51 173
|
eqtr2d |
|
175 |
174
|
ex |
|
176 |
|
simp3 |
|
177 |
|
simp1 |
|
178 |
|
simp2 |
|
179 |
176 178
|
mpd |
|
180 |
53
|
adantr |
|
181 |
|
elfzoelz |
|
182 |
181
|
zred |
|
183 |
182
|
adantl |
|
184 |
55
|
adantr |
|
185 |
56
|
adantr |
|
186 |
|
elfzole1 |
|
187 |
186
|
adantl |
|
188 |
180 184 183 185 187
|
ltletrd |
|
189 |
180 183 188
|
ltled |
|
190 |
|
eluz |
|
191 |
1 181 190
|
syl2an |
|
192 |
189 191
|
mpbird |
|
193 |
|
simplll |
|
194 |
|
eliccxr |
|
195 |
194
|
adantl |
|
196 |
193 80
|
syl |
|
197 |
193 3
|
syl |
|
198 |
|
elfzelz |
|
199 |
198
|
adantl |
|
200 |
|
elfzle1 |
|
201 |
200
|
adantl |
|
202 |
199
|
zred |
|
203 |
14
|
ad2antrr |
|
204 |
183
|
adantr |
|
205 |
|
elfzle2 |
|
206 |
205
|
adantl |
|
207 |
|
elfzolt2 |
|
208 |
207
|
ad2antlr |
|
209 |
202 204 203 206 208
|
lelttrd |
|
210 |
202 203 209
|
ltled |
|
211 |
101
|
ad2antrr |
|
212 |
211 103
|
syl |
|
213 |
199 201 210 212
|
mpbir3and |
|
214 |
213
|
adantr |
|
215 |
197 214
|
ffvelrnd |
|
216 |
199
|
peano2zd |
|
217 |
53
|
ad2antrr |
|
218 |
216
|
zred |
|
219 |
53
|
adantr |
|
220 |
198
|
zred |
|
221 |
220
|
adantl |
|
222 |
|
1red |
|
223 |
221 222
|
readdcld |
|
224 |
200
|
adantl |
|
225 |
221
|
ltp1d |
|
226 |
219 221 223 224 225
|
lelttrd |
|
227 |
226
|
adantlr |
|
228 |
217 218 227
|
ltled |
|
229 |
9 198
|
anim12ci |
|
230 |
229
|
adantlr |
|
231 |
230 135
|
syl |
|
232 |
209 231
|
mpbid |
|
233 |
211 138
|
syl |
|
234 |
216 228 232 233
|
mpbir3and |
|
235 |
234
|
adantr |
|
236 |
197 235
|
ffvelrnd |
|
237 |
|
simpr |
|
238 |
|
eliccre |
|
239 |
215 236 237 238
|
syl3anc |
|
240 |
|
elfzuz |
|
241 |
240
|
adantl |
|
242 |
3
|
ad3antrrr |
|
243 |
|
elfzelz |
|
244 |
243
|
adantl |
|
245 |
|
elfzle1 |
|
246 |
245
|
adantl |
|
247 |
244
|
zred |
|
248 |
203
|
adantr |
|
249 |
202
|
adantr |
|
250 |
|
elfzle2 |
|
251 |
250
|
adantl |
|
252 |
209
|
adantr |
|
253 |
247 249 248 251 252
|
lelttrd |
|
254 |
247 248 253
|
ltled |
|
255 |
211
|
adantr |
|
256 |
|
elfz1 |
|
257 |
255 256
|
syl |
|
258 |
244 246 254 257
|
mpbir3and |
|
259 |
242 258
|
ffvelrnd |
|
260 |
3
|
ad3antrrr |
|
261 |
|
elfzelz |
|
262 |
261
|
adantl |
|
263 |
|
elfzle1 |
|
264 |
263
|
adantl |
|
265 |
262
|
zred |
|
266 |
203
|
adantr |
|
267 |
202
|
adantr |
|
268 |
|
1red |
|
269 |
267 268
|
resubcld |
|
270 |
|
elfzle2 |
|
271 |
270
|
adantl |
|
272 |
267
|
ltm1d |
|
273 |
265 269 267 271 272
|
lelttrd |
|
274 |
209
|
adantr |
|
275 |
265 267 266 273 274
|
lttrd |
|
276 |
265 266 275
|
ltled |
|
277 |
211
|
adantr |
|
278 |
277 256
|
syl |
|
279 |
262 264 276 278
|
mpbir3and |
|
280 |
260 279
|
ffvelrnd |
|
281 |
262
|
peano2zd |
|
282 |
180
|
ad2antrr |
|
283 |
265 268
|
readdcld |
|
284 |
53
|
adantr |
|
285 |
261
|
zred |
|
286 |
285
|
adantl |
|
287 |
|
1red |
|
288 |
286 287
|
readdcld |
|
289 |
263
|
adantl |
|
290 |
286
|
ltp1d |
|
291 |
284 286 288 289 290
|
lelttrd |
|
292 |
291
|
ad4ant14 |
|
293 |
282 283 292
|
ltled |
|
294 |
|
zltp1le |
|
295 |
261 199 294
|
syl2anr |
|
296 |
273 295
|
mpbid |
|
297 |
283 267 266 296 274
|
lelttrd |
|
298 |
283 266 297
|
ltled |
|
299 |
|
elfz1 |
|
300 |
277 299
|
syl |
|
301 |
281 293 298 300
|
mpbir3and |
|
302 |
260 301
|
ffvelrnd |
|
303 |
|
simplll |
|
304 |
|
elfzuz |
|
305 |
304
|
adantl |
|
306 |
303 9
|
syl |
|
307 |
|
elfzo2 |
|
308 |
305 306 275 307
|
syl3anbrc |
|
309 |
|
eleq1 |
|
310 |
309
|
anbi2d |
|
311 |
|
fveq2 |
|
312 |
|
fvoveq1 |
|
313 |
311 312
|
breq12d |
|
314 |
310 313
|
imbi12d |
|
315 |
314 4
|
chvarvv |
|
316 |
303 308 315
|
syl2anc |
|
317 |
280 302 316
|
ltled |
|
318 |
241 259 317
|
monoord |
|
319 |
318
|
adantr |
|
320 |
215
|
rexrd |
|
321 |
236
|
rexrd |
|
322 |
|
iccgelb |
|
323 |
320 321 237 322
|
syl3anc |
|
324 |
196 215 239 319 323
|
letrd |
|
325 |
193 69
|
syl |
|
326 |
|
iccleub |
|
327 |
320 321 237 326
|
syl3anc |
|
328 |
9
|
ad2antrr |
|
329 |
|
eluz |
|
330 |
216 328 329
|
syl2anc |
|
331 |
232 330
|
mpbird |
|
332 |
331
|
adantr |
|
333 |
3
|
ad3antrrr |
|
334 |
|
elfzelz |
|
335 |
334
|
adantl |
|
336 |
|
elfzel1 |
|
337 |
336
|
zred |
|
338 |
337
|
adantr |
|
339 |
334
|
zred |
|
340 |
339
|
adantl |
|
341 |
220
|
adantr |
|
342 |
|
1red |
|
343 |
341 342
|
readdcld |
|
344 |
200
|
adantr |
|
345 |
341
|
ltp1d |
|
346 |
338 341 343 344 345
|
lelttrd |
|
347 |
|
elfzle1 |
|
348 |
347
|
adantl |
|
349 |
338 343 340 346 348
|
ltletrd |
|
350 |
338 340 349
|
ltled |
|
351 |
350
|
adantll |
|
352 |
|
elfzle2 |
|
353 |
352
|
adantl |
|
354 |
211
|
adantr |
|
355 |
354 256
|
syl |
|
356 |
335 351 353 355
|
mpbir3and |
|
357 |
333 356
|
ffvelrnd |
|
358 |
357
|
adantlr |
|
359 |
|
simplll |
|
360 |
|
simplr |
|
361 |
|
simpr |
|
362 |
3
|
3ad2ant1 |
|
363 |
|
elfzelz |
|
364 |
363
|
3ad2ant3 |
|
365 |
53
|
3ad2ant1 |
|
366 |
364
|
zred |
|
367 |
223
|
3adant3 |
|
368 |
226
|
3adant3 |
|
369 |
|
elfzle1 |
|
370 |
369
|
3ad2ant3 |
|
371 |
365 367 366 368 370
|
ltletrd |
|
372 |
365 366 371
|
ltled |
|
373 |
363
|
adantl |
|
374 |
373
|
zred |
|
375 |
14
|
adantr |
|
376 |
|
1red |
|
377 |
375 376
|
resubcld |
|
378 |
|
elfzle2 |
|
379 |
378
|
adantl |
|
380 |
375
|
ltm1d |
|
381 |
374 377 375 379 380
|
lelttrd |
|
382 |
374 375 381
|
ltled |
|
383 |
382
|
3adant2 |
|
384 |
101
|
3ad2ant1 |
|
385 |
384 256
|
syl |
|
386 |
364 372 383 385
|
mpbir3and |
|
387 |
362 386
|
ffvelrnd |
|
388 |
364
|
peano2zd |
|
389 |
388
|
zred |
|
390 |
220
|
3ad2ant2 |
|
391 |
|
1red |
|
392 |
225
|
3adant3 |
|
393 |
390 367 366 392 370
|
ltletrd |
|
394 |
390 366 393
|
ltled |
|
395 |
390 366 391 394
|
leadd1dd |
|
396 |
365 367 389 368 395
|
ltletrd |
|
397 |
365 389 396
|
ltled |
|
398 |
|
zltp1le |
|
399 |
363 9 398
|
syl2anr |
|
400 |
381 399
|
mpbid |
|
401 |
400
|
3adant2 |
|
402 |
384 299
|
syl |
|
403 |
388 397 401 402
|
mpbir3and |
|
404 |
362 403
|
ffvelrnd |
|
405 |
|
simp1 |
|
406 |
1
|
3ad2ant1 |
|
407 |
|
eluz |
|
408 |
406 364 407
|
syl2anc |
|
409 |
372 408
|
mpbird |
|
410 |
9
|
3ad2ant1 |
|
411 |
381
|
3adant2 |
|
412 |
409 410 411 307
|
syl3anbrc |
|
413 |
405 412 315
|
syl2anc |
|
414 |
387 404 413
|
ltled |
|
415 |
359 360 361 414
|
syl3anc |
|
416 |
415
|
adantlr |
|
417 |
332 358 416
|
monoord |
|
418 |
239 236 325 327 417
|
letrd |
|
419 |
69
|
rexrd |
|
420 |
81 419
|
jca |
|
421 |
193 420
|
syl |
|
422 |
|
elicc1 |
|
423 |
421 422
|
syl |
|
424 |
195 324 418 423
|
mpbir3and |
|
425 |
193 424 5
|
syl2anc |
|
426 |
|
simpll |
|
427 |
241 328 209 146
|
syl3anbrc |
|
428 |
426 427 6
|
syl2anc |
|
429 |
425 428
|
itgcl |
|
430 |
|
fveq2 |
|
431 |
|
fvoveq1 |
|
432 |
430 431
|
oveq12d |
|
433 |
432
|
itgeq1d |
|
434 |
192 429 433
|
fzosump1 |
|
435 |
434
|
3adant3 |
|
436 |
|
oveq1 |
|
437 |
436
|
eqcomd |
|
438 |
437
|
3ad2ant3 |
|
439 |
80
|
adantr |
|
440 |
3
|
adantr |
|
441 |
181
|
adantl |
|
442 |
441
|
peano2zd |
|
443 |
442
|
zred |
|
444 |
183
|
ltp1d |
|
445 |
180 183 443 188 444
|
lttrd |
|
446 |
180 443 445
|
ltled |
|
447 |
207
|
adantl |
|
448 |
|
zltp1le |
|
449 |
181 9 448
|
syl2anr |
|
450 |
447 449
|
mpbid |
|
451 |
101
|
adantr |
|
452 |
|
elfz1 |
|
453 |
451 452
|
syl |
|
454 |
442 446 450 453
|
mpbir3and |
|
455 |
440 454
|
ffvelrnd |
|
456 |
14
|
adantr |
|
457 |
183 456 447
|
ltled |
|
458 |
|
elfz1 |
|
459 |
451 458
|
syl |
|
460 |
441 189 457 459
|
mpbir3and |
|
461 |
440 460
|
ffvelrnd |
|
462 |
461
|
rexrd |
|
463 |
3
|
ad2antrr |
|
464 |
463 213
|
ffvelrnd |
|
465 |
3
|
ad2antrr |
|
466 |
|
elfzelz |
|
467 |
466
|
adantl |
|
468 |
|
elfzle1 |
|
469 |
468
|
adantl |
|
470 |
467
|
zred |
|
471 |
14
|
ad2antrr |
|
472 |
183
|
adantr |
|
473 |
|
1red |
|
474 |
472 473
|
resubcld |
|
475 |
|
elfzle2 |
|
476 |
475
|
adantl |
|
477 |
472
|
ltm1d |
|
478 |
470 474 472 476 477
|
lelttrd |
|
479 |
447
|
adantr |
|
480 |
470 472 471 478 479
|
lttrd |
|
481 |
470 471 480
|
ltled |
|
482 |
101
|
ad2antrr |
|
483 |
482 103
|
syl |
|
484 |
467 469 481 483
|
mpbir3and |
|
485 |
465 484
|
ffvelrnd |
|
486 |
467
|
peano2zd |
|
487 |
53
|
ad2antrr |
|
488 |
470 473
|
readdcld |
|
489 |
470
|
ltp1d |
|
490 |
487 470 488 469 489
|
lelttrd |
|
491 |
487 488 490
|
ltled |
|
492 |
|
zltp1le |
|
493 |
466 441 492
|
syl2anr |
|
494 |
478 493
|
mpbid |
|
495 |
488 472 471 494 479
|
lelttrd |
|
496 |
488 471 495
|
ltled |
|
497 |
482 138
|
syl |
|
498 |
486 491 496 497
|
mpbir3and |
|
499 |
465 498
|
ffvelrnd |
|
500 |
|
simpll |
|
501 |
|
elfzuz |
|
502 |
501
|
adantl |
|
503 |
9
|
ad2antrr |
|
504 |
502 503 480 146
|
syl3anbrc |
|
505 |
500 504 4
|
syl2anc |
|
506 |
485 499 505
|
ltled |
|
507 |
192 464 506
|
monoord |
|
508 |
9
|
adantr |
|
509 |
|
elfzo2 |
|
510 |
192 508 447 509
|
syl3anbrc |
|
511 |
|
eleq1 |
|
512 |
511
|
anbi2d |
|
513 |
430 431
|
breq12d |
|
514 |
512 513
|
imbi12d |
|
515 |
514 4
|
chvarvv |
|
516 |
510 515
|
syldan |
|
517 |
461 455 516
|
ltled |
|
518 |
81
|
adantr |
|
519 |
455
|
rexrd |
|
520 |
|
elicc1 |
|
521 |
518 519 520
|
syl2anc |
|
522 |
462 507 517 521
|
mpbir3and |
|
523 |
|
simpll |
|
524 |
|
eliccxr |
|
525 |
524
|
adantl |
|
526 |
81
|
ad2antrr |
|
527 |
519
|
adantr |
|
528 |
|
simpr |
|
529 |
|
iccgelb |
|
530 |
526 527 528 529
|
syl3anc |
|
531 |
80
|
ad2antrr |
|
532 |
455
|
adantr |
|
533 |
|
eliccre |
|
534 |
531 532 528 533
|
syl3anc |
|
535 |
69
|
ad2antrr |
|
536 |
|
iccleub |
|
537 |
526 527 528 536
|
syl3anc |
|
538 |
|
eluz2 |
|
539 |
442 508 450 538
|
syl3anbrc |
|
540 |
3
|
ad2antrr |
|
541 |
1
|
ad2antrr |
|
542 |
9
|
ad2antrr |
|
543 |
|
elfzelz |
|
544 |
543
|
adantl |
|
545 |
541 542 544
|
3jca |
|
546 |
53
|
ad2antrr |
|
547 |
544
|
zred |
|
548 |
183
|
adantr |
|
549 |
188
|
adantr |
|
550 |
182
|
adantr |
|
551 |
|
1red |
|
552 |
550 551
|
readdcld |
|
553 |
543
|
zred |
|
554 |
553
|
adantl |
|
555 |
550
|
ltp1d |
|
556 |
|
elfzle1 |
|
557 |
556
|
adantl |
|
558 |
550 552 554 555 557
|
ltletrd |
|
559 |
558
|
adantll |
|
560 |
546 548 547 549 559
|
lttrd |
|
561 |
546 547 560
|
ltled |
|
562 |
|
elfzle2 |
|
563 |
562
|
adantl |
|
564 |
545 561 563
|
jca32 |
|
565 |
|
elfz2 |
|
566 |
564 565
|
sylibr |
|
567 |
540 566
|
ffvelrnd |
|
568 |
3
|
ad2antrr |
|
569 |
1
|
ad2antrr |
|
570 |
9
|
ad2antrr |
|
571 |
|
elfzelz |
|
572 |
571
|
adantl |
|
573 |
569 570 572
|
3jca |
|
574 |
53
|
ad2antrr |
|
575 |
572
|
zred |
|
576 |
183
|
adantr |
|
577 |
188
|
adantr |
|
578 |
182
|
adantr |
|
579 |
|
1red |
|
580 |
578 579
|
readdcld |
|
581 |
571
|
zred |
|
582 |
581
|
adantl |
|
583 |
578
|
ltp1d |
|
584 |
|
elfzle1 |
|
585 |
584
|
adantl |
|
586 |
578 580 582 583 585
|
ltletrd |
|
587 |
586
|
adantll |
|
588 |
574 576 575 577 587
|
lttrd |
|
589 |
574 575 588
|
ltled |
|
590 |
581
|
adantl |
|
591 |
14
|
adantr |
|
592 |
|
1red |
|
593 |
591 592
|
resubcld |
|
594 |
|
elfzle2 |
|
595 |
594
|
adantl |
|
596 |
591
|
ltm1d |
|
597 |
590 593 591 595 596
|
lelttrd |
|
598 |
590 591 597
|
ltled |
|
599 |
598
|
adantlr |
|
600 |
573 589 599
|
jca32 |
|
601 |
600 565
|
sylibr |
|
602 |
568 601
|
ffvelrnd |
|
603 |
572
|
peano2zd |
|
604 |
569 570 603
|
3jca |
|
605 |
603
|
zred |
|
606 |
575
|
ltp1d |
|
607 |
576 575 605 587 606
|
lttrd |
|
608 |
574 576 605 577 607
|
lttrd |
|
609 |
574 605 608
|
ltled |
|
610 |
597
|
adantlr |
|
611 |
571 508 135
|
syl2anr |
|
612 |
610 611
|
mpbid |
|
613 |
604 609 612
|
jca32 |
|
614 |
|
elfz2 |
|
615 |
613 614
|
sylibr |
|
616 |
568 615
|
ffvelrnd |
|
617 |
|
simpll |
|
618 |
|
eluz2 |
|
619 |
569 572 589 618
|
syl3anbrc |
|
620 |
619 570 610 146
|
syl3anbrc |
|
621 |
617 620 4
|
syl2anc |
|
622 |
602 616 621
|
ltled |
|
623 |
539 567 622
|
monoord |
|
624 |
623
|
adantr |
|
625 |
534 532 535 537 624
|
letrd |
|
626 |
420
|
ad2antrr |
|
627 |
626 422
|
syl |
|
628 |
525 530 625 627
|
mpbir3and |
|
629 |
523 628 5
|
syl2anc |
|
630 |
|
nfv |
|
631 |
1
|
adantr |
|
632 |
|
elfzouz |
|
633 |
632
|
adantl |
|
634 |
|
simpll |
|
635 |
|
elfzouz |
|
636 |
635
|
adantl |
|
637 |
9
|
ad2antrr |
|
638 |
|
elfzoelz |
|
639 |
638
|
zred |
|
640 |
639
|
adantl |
|
641 |
183
|
adantr |
|
642 |
14
|
ad2antrr |
|
643 |
|
elfzolt2 |
|
644 |
643
|
adantl |
|
645 |
447
|
adantr |
|
646 |
640 641 642 644 645
|
lttrd |
|
647 |
636 637 646 146
|
syl3anbrc |
|
648 |
634 647 4
|
syl2anc |
|
649 |
|
simpll |
|
650 |
80
|
ad2antrr |
|
651 |
69
|
ad2antrr |
|
652 |
461
|
adantr |
|
653 |
|
simpr |
|
654 |
|
eliccre |
|
655 |
650 652 653 654
|
syl3anc |
|
656 |
81
|
ad2antrr |
|
657 |
462
|
adantr |
|
658 |
|
iccgelb |
|
659 |
656 657 653 658
|
syl3anc |
|
660 |
|
iccleub |
|
661 |
656 657 653 660
|
syl3anc |
|
662 |
|
elfzouz2 |
|
663 |
662
|
adantl |
|
664 |
3
|
ad2antrr |
|
665 |
1
|
ad2antrr |
|
666 |
9
|
ad2antrr |
|
667 |
|
elfzelz |
|
668 |
667
|
adantl |
|
669 |
665 666 668
|
3jca |
|
670 |
53
|
ad2antrr |
|
671 |
668
|
zred |
|
672 |
183
|
adantr |
|
673 |
188
|
adantr |
|
674 |
|
elfzle1 |
|
675 |
674
|
adantl |
|
676 |
670 672 671 673 675
|
ltletrd |
|
677 |
670 671 676
|
ltled |
|
678 |
|
elfzle2 |
|
679 |
678
|
adantl |
|
680 |
669 677 679
|
jca32 |
|
681 |
680 565
|
sylibr |
|
682 |
664 681
|
ffvelrnd |
|
683 |
3
|
ad2antrr |
|
684 |
1
|
ad2antrr |
|
685 |
9
|
ad2antrr |
|
686 |
|
elfzelz |
|
687 |
686
|
adantl |
|
688 |
684 685 687
|
3jca |
|
689 |
53
|
ad2antrr |
|
690 |
687
|
zred |
|
691 |
183
|
adantr |
|
692 |
188
|
adantr |
|
693 |
|
elfzle1 |
|
694 |
693
|
adantl |
|
695 |
689 691 690 692 694
|
ltletrd |
|
696 |
689 690 695
|
ltled |
|
697 |
686
|
zred |
|
698 |
697
|
adantl |
|
699 |
14
|
adantr |
|
700 |
|
1red |
|
701 |
699 700
|
resubcld |
|
702 |
|
elfzle2 |
|
703 |
702
|
adantl |
|
704 |
699
|
ltm1d |
|
705 |
698 701 699 703 704
|
lelttrd |
|
706 |
698 699 705
|
ltled |
|
707 |
706
|
adantlr |
|
708 |
688 696 707
|
jca32 |
|
709 |
708 565
|
sylibr |
|
710 |
683 709
|
ffvelrnd |
|
711 |
687
|
peano2zd |
|
712 |
684 685 711
|
3jca |
|
713 |
711
|
zred |
|
714 |
690
|
ltp1d |
|
715 |
689 690 713 696 714
|
lelttrd |
|
716 |
689 713 715
|
ltled |
|
717 |
686 9 135
|
syl2anr |
|
718 |
705 717
|
mpbid |
|
719 |
718
|
adantlr |
|
720 |
712 716 719
|
jca32 |
|
721 |
720 614
|
sylibr |
|
722 |
683 721
|
ffvelrnd |
|
723 |
|
simpll |
|
724 |
684 687 696 618
|
syl3anbrc |
|
725 |
705
|
adantlr |
|
726 |
724 685 725 146
|
syl3anbrc |
|
727 |
723 726 4
|
syl2anc |
|
728 |
710 722 727
|
ltled |
|
729 |
663 682 728
|
monoord |
|
730 |
729
|
adantr |
|
731 |
655 652 651 661 730
|
letrd |
|
732 |
650 651 655 659 731
|
eliccd |
|
733 |
649 732 5
|
syl2anc |
|
734 |
634 647 6
|
syl2anc |
|
735 |
630 631 633 464 648 733 734
|
iblspltprt |
|
736 |
432
|
mpteq1d |
|
737 |
736
|
eleq1d |
|
738 |
512 737
|
imbi12d |
|
739 |
738 6
|
chvarvv |
|
740 |
510 739
|
syldan |
|
741 |
439 455 522 629 735 740
|
itgspliticc |
|
742 |
741
|
eqcomd |
|
743 |
742
|
3adant3 |
|
744 |
435 438 743
|
3eqtrrd |
|
745 |
176 177 179 744
|
syl3anc |
|
746 |
745
|
3exp |
|
747 |
25 32 39 46 175 746
|
fzind2 |
|
748 |
18 747
|
mpcom |
|