Step |
Hyp |
Ref |
Expression |
1 |
|
efgval.w |
|
2 |
|
efgval.r |
|
3 |
|
efgval2.m |
|
4 |
|
efgval2.t |
|
5 |
|
efgred.d |
|
6 |
|
efgred.s |
|
7 |
|
efgredlem.1 |
|
8 |
|
efgredlem.2 |
|
9 |
|
efgredlem.3 |
|
10 |
|
efgredlem.4 |
|
11 |
|
efgredlem.5 |
|
12 |
|
efgredlemb.k |
|
13 |
|
efgredlemb.l |
|
14 |
|
efgredlemb.p |
|
15 |
|
efgredlemb.q |
|
16 |
|
efgredlemb.u |
|
17 |
|
efgredlemb.v |
|
18 |
|
efgredlemb.6 |
|
19 |
|
efgredlemb.7 |
|
20 |
|
efgredlemb.8 |
|
21 |
|
efgredlemd.9 |
|
22 |
|
efgredlemd.c |
|
23 |
|
efgredlemd.sc |
|
24 |
1 2 3 4 5 6
|
efgsf |
|
25 |
24
|
fdmi |
|
26 |
25
|
feq2i |
|
27 |
24 26
|
mpbir |
|
28 |
27
|
ffvelrni |
|
29 |
22 28
|
syl |
|
30 |
|
elfzuz |
|
31 |
15 30
|
syl |
|
32 |
23
|
fveq2d |
|
33 |
|
fviss |
|
34 |
1 33
|
eqsstri |
|
35 |
1 2 3 4 5 6 7 8 9 10 11 12 13
|
efgredlemf |
|
36 |
35
|
simprd |
|
37 |
34 36
|
sseldi |
|
38 |
|
pfxcl |
|
39 |
37 38
|
syl |
|
40 |
35
|
simpld |
|
41 |
34 40
|
sseldi |
|
42 |
|
swrdcl |
|
43 |
41 42
|
syl |
|
44 |
|
ccatlen |
|
45 |
39 43 44
|
syl2anc |
|
46 |
|
pfxlen |
|
47 |
37 15 46
|
syl2anc |
|
48 |
|
2nn0 |
|
49 |
|
uzaddcl |
|
50 |
31 48 49
|
sylancl |
|
51 |
|
elfzuz3 |
|
52 |
14 51
|
syl |
|
53 |
|
uztrn |
|
54 |
52 21 53
|
syl2anc |
|
55 |
|
elfzuzb |
|
56 |
50 54 55
|
sylanbrc |
|
57 |
|
lencl |
|
58 |
41 57
|
syl |
|
59 |
|
nn0uz |
|
60 |
58 59
|
eleqtrdi |
|
61 |
|
eluzfz2 |
|
62 |
60 61
|
syl |
|
63 |
|
swrdlen |
|
64 |
41 56 62 63
|
syl3anc |
|
65 |
47 64
|
oveq12d |
|
66 |
|
elfzelz |
|
67 |
15 66
|
syl |
|
68 |
67
|
zcnd |
|
69 |
58
|
nn0cnd |
|
70 |
|
2z |
|
71 |
|
zaddcl |
|
72 |
67 70 71
|
sylancl |
|
73 |
72
|
zcnd |
|
74 |
68 69 73
|
addsubassd |
|
75 |
|
2cn |
|
76 |
75
|
a1i |
|
77 |
68 69 76
|
pnpcand |
|
78 |
65 74 77
|
3eqtr2d |
|
79 |
32 45 78
|
3eqtrd |
|
80 |
|
elfzelz |
|
81 |
14 80
|
syl |
|
82 |
|
zsubcl |
|
83 |
81 70 82
|
sylancl |
|
84 |
70
|
a1i |
|
85 |
81
|
zcnd |
|
86 |
|
npcan |
|
87 |
85 75 86
|
sylancl |
|
88 |
87
|
fveq2d |
|
89 |
52 88
|
eleqtrrd |
|
90 |
|
eluzsub |
|
91 |
83 84 89 90
|
syl3anc |
|
92 |
79 91
|
eqeltrd |
|
93 |
|
eluzsub |
|
94 |
67 84 21 93
|
syl3anc |
|
95 |
|
uztrn |
|
96 |
92 94 95
|
syl2anc |
|
97 |
|
elfzuzb |
|
98 |
31 96 97
|
sylanbrc |
|
99 |
1 2 3 4
|
efgtval |
|
100 |
29 98 17 99
|
syl3anc |
|
101 |
|
pfxcl |
|
102 |
41 101
|
syl |
|
103 |
|
wrd0 |
|
104 |
103
|
a1i |
|
105 |
3
|
efgmf |
|
106 |
105
|
ffvelrni |
|
107 |
17 106
|
syl |
|
108 |
17 107
|
s2cld |
|
109 |
67
|
zred |
|
110 |
|
nn0addge1 |
|
111 |
109 48 110
|
sylancl |
|
112 |
|
eluz2 |
|
113 |
67 72 111 112
|
syl3anbrc |
|
114 |
|
uztrn |
|
115 |
21 113 114
|
syl2anc |
|
116 |
|
elfzuzb |
|
117 |
31 115 116
|
sylanbrc |
|
118 |
|
ccatpfx |
|
119 |
41 117 14 118
|
syl3anc |
|
120 |
119
|
oveq1d |
|
121 |
|
pfxcl |
|
122 |
41 121
|
syl |
|
123 |
105
|
ffvelrni |
|
124 |
16 123
|
syl |
|
125 |
16 124
|
s2cld |
|
126 |
|
swrdcl |
|
127 |
41 126
|
syl |
|
128 |
|
ccatass |
|
129 |
122 125 127 128
|
syl3anc |
|
130 |
1 2 3 4
|
efgtval |
|
131 |
40 14 16 130
|
syl3anc |
|
132 |
|
splval |
|
133 |
40 14 14 125 132
|
syl13anc |
|
134 |
18 131 133
|
3eqtrd |
|
135 |
1 2 3 4
|
efgtval |
|
136 |
36 15 17 135
|
syl3anc |
|
137 |
|
splval |
|
138 |
36 15 15 108 137
|
syl13anc |
|
139 |
19 136 138
|
3eqtrd |
|
140 |
10 134 139
|
3eqtr3d |
|
141 |
120 129 140
|
3eqtr2d |
|
142 |
|
swrdcl |
|
143 |
41 142
|
syl |
|
144 |
|
ccatcl |
|
145 |
125 127 144
|
syl2anc |
|
146 |
|
ccatass |
|
147 |
102 143 145 146
|
syl3anc |
|
148 |
|
swrdcl |
|
149 |
37 148
|
syl |
|
150 |
|
ccatass |
|
151 |
39 108 149 150
|
syl3anc |
|
152 |
141 147 151
|
3eqtr3d |
|
153 |
|
ccatcl |
|
154 |
143 145 153
|
syl2anc |
|
155 |
|
ccatcl |
|
156 |
108 149 155
|
syl2anc |
|
157 |
|
uztrn |
|
158 |
52 115 157
|
syl2anc |
|
159 |
|
elfzuzb |
|
160 |
31 158 159
|
sylanbrc |
|
161 |
|
pfxlen |
|
162 |
41 160 161
|
syl2anc |
|
163 |
162 47
|
eqtr4d |
|
164 |
|
ccatopth |
|
165 |
102 154 39 156 163 164
|
syl221anc |
|
166 |
152 165
|
mpbid |
|
167 |
166
|
simpld |
|
168 |
167
|
oveq1d |
|
169 |
|
ccatrid |
|
170 |
102 169
|
syl |
|
171 |
170
|
oveq1d |
|
172 |
168 171 23
|
3eqtr4rd |
|
173 |
162
|
eqcomd |
|
174 |
|
hash0 |
|
175 |
174
|
oveq2i |
|
176 |
68
|
addid1d |
|
177 |
175 176
|
syl5req |
|
178 |
102 104 43 108 172 173 177
|
splval2 |
|
179 |
|
elfzuzb |
|
180 |
31 113 179
|
sylanbrc |
|
181 |
|
elfzuzb |
|
182 |
50 21 181
|
sylanbrc |
|
183 |
|
ccatswrd |
|
184 |
41 180 182 14 183
|
syl13anc |
|
185 |
184
|
oveq1d |
|
186 |
|
swrdcl |
|
187 |
41 186
|
syl |
|
188 |
|
swrdcl |
|
189 |
41 188
|
syl |
|
190 |
|
ccatass |
|
191 |
187 189 145 190
|
syl3anc |
|
192 |
166
|
simprd |
|
193 |
185 191 192
|
3eqtr3d |
|
194 |
|
ccatcl |
|
195 |
189 145 194
|
syl2anc |
|
196 |
|
swrdlen |
|
197 |
41 180 56 196
|
syl3anc |
|
198 |
|
pncan2 |
|
199 |
68 75 198
|
sylancl |
|
200 |
197 199
|
eqtrd |
|
201 |
|
s2len |
|
202 |
200 201
|
eqtr4di |
|
203 |
|
ccatopth |
|
204 |
187 195 108 149 202 203
|
syl221anc |
|
205 |
193 204
|
mpbid |
|
206 |
205
|
simpld |
|
207 |
206
|
oveq2d |
|
208 |
|
ccatpfx |
|
209 |
41 180 56 208
|
syl3anc |
|
210 |
207 209
|
eqtr3d |
|
211 |
210
|
oveq1d |
|
212 |
|
ccatpfx |
|
213 |
41 56 62 212
|
syl3anc |
|
214 |
|
pfxid |
|
215 |
41 214
|
syl |
|
216 |
211 213 215
|
3eqtrd |
|
217 |
100 178 216
|
3eqtrd |
|
218 |
1 2 3 4
|
efgtf |
|
219 |
29 218
|
syl |
|
220 |
219
|
simprd |
|
221 |
220
|
ffnd |
|
222 |
|
fnovrn |
|
223 |
221 98 17 222
|
syl3anc |
|
224 |
217 223
|
eqeltrrd |
|
225 |
|
uztrn |
|
226 |
94 31 225
|
syl2anc |
|
227 |
|
elfzuzb |
|
228 |
226 92 227
|
sylanbrc |
|
229 |
1 2 3 4
|
efgtval |
|
230 |
29 228 16 229
|
syl3anc |
|
231 |
|
pfxcl |
|
232 |
37 231
|
syl |
|
233 |
|
swrdcl |
|
234 |
37 233
|
syl |
|
235 |
|
ccatswrd |
|
236 |
41 182 14 62 235
|
syl13anc |
|
237 |
205
|
simprd |
|
238 |
|
elfzuzb |
|
239 |
31 94 238
|
sylanbrc |
|
240 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
|
efgredlemg |
|
241 |
240 52
|
eqeltrrd |
|
242 |
|
0le2 |
|
243 |
242
|
a1i |
|
244 |
81
|
zred |
|
245 |
|
2re |
|
246 |
|
subge02 |
|
247 |
244 245 246
|
sylancl |
|
248 |
243 247
|
mpbid |
|
249 |
|
eluz2 |
|
250 |
83 81 248 249
|
syl3anbrc |
|
251 |
|
uztrn |
|
252 |
241 250 251
|
syl2anc |
|
253 |
|
elfzuzb |
|
254 |
226 252 253
|
sylanbrc |
|
255 |
|
lencl |
|
256 |
37 255
|
syl |
|
257 |
256 59
|
eleqtrdi |
|
258 |
|
eluzfz2 |
|
259 |
257 258
|
syl |
|
260 |
|
ccatswrd |
|
261 |
37 239 254 259 260
|
syl13anc |
|
262 |
237 261
|
eqtr4d |
|
263 |
|
swrdcl |
|
264 |
37 263
|
syl |
|
265 |
|
swrdcl |
|
266 |
37 265
|
syl |
|
267 |
|
swrdlen |
|
268 |
41 182 14 267
|
syl3anc |
|
269 |
|
swrdlen |
|
270 |
37 239 254 269
|
syl3anc |
|
271 |
85 68 76
|
sub32d |
|
272 |
85 68 76
|
subsub4d |
|
273 |
270 271 272
|
3eqtr2d |
|
274 |
268 273
|
eqtr4d |
|
275 |
|
ccatopth |
|
276 |
189 145 264 266 274 275
|
syl221anc |
|
277 |
262 276
|
mpbid |
|
278 |
277
|
simpld |
|
279 |
277
|
simprd |
|
280 |
|
elfzuzb |
|
281 |
226 250 280
|
sylanbrc |
|
282 |
|
elfzuz |
|
283 |
14 282
|
syl |
|
284 |
|
elfzuzb |
|
285 |
283 241 284
|
sylanbrc |
|
286 |
|
ccatswrd |
|
287 |
37 281 285 259 286
|
syl13anc |
|
288 |
279 287
|
eqtr4d |
|
289 |
|
swrdcl |
|
290 |
37 289
|
syl |
|
291 |
|
s2len |
|
292 |
|
swrdlen |
|
293 |
37 281 285 292
|
syl3anc |
|
294 |
|
nncan |
|
295 |
85 75 294
|
sylancl |
|
296 |
293 295
|
eqtr2d |
|
297 |
291 296
|
syl5eq |
|
298 |
|
ccatopth |
|
299 |
125 127 290 234 297 298
|
syl221anc |
|
300 |
288 299
|
mpbid |
|
301 |
300
|
simprd |
|
302 |
278 301
|
oveq12d |
|
303 |
236 302
|
eqtr3d |
|
304 |
303
|
oveq2d |
|
305 |
|
ccatass |
|
306 |
39 264 234 305
|
syl3anc |
|
307 |
304 306
|
eqtr4d |
|
308 |
|
ccatpfx |
|
309 |
37 239 254 308
|
syl3anc |
|
310 |
309
|
oveq1d |
|
311 |
23 307 310
|
3eqtrd |
|
312 |
|
ccatrid |
|
313 |
232 312
|
syl |
|
314 |
313
|
oveq1d |
|
315 |
311 314
|
eqtr4d |
|
316 |
|
pfxlen |
|
317 |
37 254 316
|
syl2anc |
|
318 |
317
|
eqcomd |
|
319 |
174
|
oveq2i |
|
320 |
83
|
zcnd |
|
321 |
320
|
addid1d |
|
322 |
319 321
|
syl5req |
|
323 |
232 104 234 125 315 318 322
|
splval2 |
|
324 |
300
|
simpld |
|
325 |
324
|
oveq2d |
|
326 |
|
ccatpfx |
|
327 |
37 281 285 326
|
syl3anc |
|
328 |
325 327
|
eqtrd |
|
329 |
328
|
oveq1d |
|
330 |
|
ccatpfx |
|
331 |
37 285 259 330
|
syl3anc |
|
332 |
|
pfxid |
|
333 |
37 332
|
syl |
|
334 |
329 331 333
|
3eqtrd |
|
335 |
230 323 334
|
3eqtrd |
|
336 |
|
fnovrn |
|
337 |
221 228 16 336
|
syl3anc |
|
338 |
335 337
|
eqeltrrd |
|
339 |
224 338
|
jca |
|