Step |
Hyp |
Ref |
Expression |
1 |
|
pntlem1.r |
|
2 |
|
pntlem1.a |
|
3 |
|
pntlem1.b |
|
4 |
|
pntlem1.l |
|
5 |
|
pntlem1.d |
|
6 |
|
pntlem1.f |
|
7 |
|
pntlem1.u |
|
8 |
|
pntlem1.u2 |
|
9 |
|
pntlem1.e |
|
10 |
|
pntlem1.k |
|
11 |
|
pntlem1.y |
|
12 |
|
pntlem1.x |
|
13 |
|
pntlem1.c |
|
14 |
|
pntlem1.w |
|
15 |
|
pntlem1.z |
|
16 |
|
pntlem1.m |
|
17 |
|
pntlem1.n |
|
18 |
|
pntlem1.U |
|
19 |
|
pntlem1.K |
|
20 |
|
pntlem1.C |
|
21 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
|
pntlemb |
|
22 |
21
|
simp1d |
|
23 |
1
|
pntrf |
|
24 |
23
|
ffvelrni |
|
25 |
22 24
|
syl |
|
26 |
25 22
|
rerpdivcld |
|
27 |
26
|
recnd |
|
28 |
27
|
abscld |
|
29 |
22
|
relogcld |
|
30 |
28 29
|
remulcld |
|
31 |
7
|
rpred |
|
32 |
|
3re |
|
33 |
32
|
a1i |
|
34 |
29 33
|
readdcld |
|
35 |
31 34
|
remulcld |
|
36 |
|
2re |
|
37 |
36
|
a1i |
|
38 |
1 2 3 4 5 6 7 8 9 10
|
pntlemc |
|
39 |
38
|
simp3d |
|
40 |
39
|
simp3d |
|
41 |
40
|
rpred |
|
42 |
1 2 3 4 5 6
|
pntlemd |
|
43 |
42
|
simp1d |
|
44 |
38
|
simp1d |
|
45 |
|
2z |
|
46 |
|
rpexpcl |
|
47 |
44 45 46
|
sylancl |
|
48 |
43 47
|
rpmulcld |
|
49 |
|
3nn0 |
|
50 |
|
2nn |
|
51 |
49 50
|
decnncl |
|
52 |
|
nnrp |
|
53 |
51 52
|
ax-mp |
|
54 |
|
rpmulcl |
|
55 |
53 3 54
|
sylancr |
|
56 |
48 55
|
rpdivcld |
|
57 |
56
|
rpred |
|
58 |
41 57
|
remulcld |
|
59 |
58 29
|
remulcld |
|
60 |
37 59
|
remulcld |
|
61 |
35 60
|
resubcld |
|
62 |
13
|
rpred |
|
63 |
61 62
|
readdcld |
|
64 |
7
|
rpcnd |
|
65 |
58
|
recnd |
|
66 |
29
|
recnd |
|
67 |
64 65 66
|
subdird |
|
68 |
43
|
rpcnd |
|
69 |
47
|
rpcnd |
|
70 |
55
|
rpcnne0d |
|
71 |
|
div23 |
|
72 |
68 69 70 71
|
syl3anc |
|
73 |
9
|
oveq1i |
|
74 |
42
|
simp2d |
|
75 |
74
|
rpcnd |
|
76 |
74
|
rpne0d |
|
77 |
64 75 76
|
sqdivd |
|
78 |
73 77
|
syl5eq |
|
79 |
78
|
oveq2d |
|
80 |
43 55
|
rpdivcld |
|
81 |
80
|
rpcnd |
|
82 |
64
|
sqcld |
|
83 |
|
rpexpcl |
|
84 |
74 45 83
|
sylancl |
|
85 |
84
|
rpcnne0d |
|
86 |
|
divass |
|
87 |
|
div23 |
|
88 |
86 87
|
eqtr3d |
|
89 |
81 82 85 88
|
syl3anc |
|
90 |
72 79 89
|
3eqtrd |
|
91 |
90
|
oveq2d |
|
92 |
|
df-3 |
|
93 |
92
|
oveq2i |
|
94 |
|
2nn0 |
|
95 |
|
expp1 |
|
96 |
64 94 95
|
sylancl |
|
97 |
93 96
|
syl5eq |
|
98 |
82 64
|
mulcomd |
|
99 |
97 98
|
eqtrd |
|
100 |
99
|
oveq2d |
|
101 |
42
|
simp3d |
|
102 |
101
|
rpcnd |
|
103 |
102 64 82
|
mulassd |
|
104 |
|
1cnd |
|
105 |
74
|
rpreccld |
|
106 |
105
|
rpcnd |
|
107 |
104 106 64
|
subdird |
|
108 |
64
|
mulid2d |
|
109 |
64 75 76
|
divrec2d |
|
110 |
9 109
|
eqtr2id |
|
111 |
108 110
|
oveq12d |
|
112 |
107 111
|
eqtr2d |
|
113 |
112
|
oveq1d |
|
114 |
6
|
oveq1i |
|
115 |
104 106
|
subcld |
|
116 |
80 84
|
rpdivcld |
|
117 |
116
|
rpcnd |
|
118 |
115 117 64
|
mul32d |
|
119 |
114 118
|
syl5eq |
|
120 |
113 119
|
eqtr4d |
|
121 |
120
|
oveq1d |
|
122 |
40
|
rpcnd |
|
123 |
122 117 82
|
mulassd |
|
124 |
121 123
|
eqtr3d |
|
125 |
100 103 124
|
3eqtr2d |
|
126 |
91 125
|
eqtr4d |
|
127 |
126
|
oveq2d |
|
128 |
127
|
oveq1d |
|
129 |
67 128
|
eqtr3d |
|
130 |
31 29
|
remulcld |
|
131 |
130 59
|
resubcld |
|
132 |
129 131
|
eqeltrrd |
|
133 |
22
|
rpred |
|
134 |
21
|
simp2d |
|
135 |
134
|
simp1d |
|
136 |
133 135
|
rplogcld |
|
137 |
37 136
|
rerpdivcld |
|
138 |
|
fzfid |
|
139 |
22
|
adantr |
|
140 |
|
elfznn |
|
141 |
140
|
adantl |
|
142 |
141
|
nnrpd |
|
143 |
139 142
|
rpdivcld |
|
144 |
23
|
ffvelrni |
|
145 |
143 144
|
syl |
|
146 |
145 139
|
rerpdivcld |
|
147 |
146
|
recnd |
|
148 |
147
|
abscld |
|
149 |
142
|
relogcld |
|
150 |
148 149
|
remulcld |
|
151 |
138 150
|
fsumrecl |
|
152 |
137 151
|
remulcld |
|
153 |
152 62
|
readdcld |
|
154 |
25
|
recnd |
|
155 |
154
|
abscld |
|
156 |
155
|
recnd |
|
157 |
156 66
|
mulcld |
|
158 |
137
|
recnd |
|
159 |
145
|
recnd |
|
160 |
159
|
abscld |
|
161 |
160 149
|
remulcld |
|
162 |
138 161
|
fsumrecl |
|
163 |
162
|
recnd |
|
164 |
158 163
|
mulcld |
|
165 |
22
|
rpcnd |
|
166 |
22
|
rpne0d |
|
167 |
157 164 165 166
|
divsubdird |
|
168 |
156 66 165 166
|
div23d |
|
169 |
154 165 166
|
absdivd |
|
170 |
22
|
rprege0d |
|
171 |
|
absid |
|
172 |
170 171
|
syl |
|
173 |
172
|
oveq2d |
|
174 |
169 173
|
eqtrd |
|
175 |
174
|
oveq1d |
|
176 |
168 175
|
eqtr4d |
|
177 |
158 163 165 166
|
divassd |
|
178 |
165
|
adantr |
|
179 |
166
|
adantr |
|
180 |
159 178 179
|
absdivd |
|
181 |
172
|
adantr |
|
182 |
181
|
oveq2d |
|
183 |
180 182
|
eqtrd |
|
184 |
183
|
oveq1d |
|
185 |
160
|
recnd |
|
186 |
149
|
recnd |
|
187 |
22
|
rpcnne0d |
|
188 |
187
|
adantr |
|
189 |
|
div23 |
|
190 |
185 186 188 189
|
syl3anc |
|
191 |
184 190
|
eqtr4d |
|
192 |
191
|
sumeq2dv |
|
193 |
161
|
recnd |
|
194 |
138 165 193 166
|
fsumdivc |
|
195 |
192 194
|
eqtr4d |
|
196 |
195
|
oveq2d |
|
197 |
177 196
|
eqtr4d |
|
198 |
176 197
|
oveq12d |
|
199 |
167 198
|
eqtrd |
|
200 |
|
2fveq3 |
|
201 |
|
fveq2 |
|
202 |
200 201
|
oveq12d |
|
203 |
201
|
oveq2d |
|
204 |
|
oveq2 |
|
205 |
204
|
fveq2d |
|
206 |
205
|
fveq2d |
|
207 |
|
fveq2 |
|
208 |
206 207
|
oveq12d |
|
209 |
208
|
cbvsumv |
|
210 |
|
fvoveq1 |
|
211 |
210
|
oveq2d |
|
212 |
|
simpl |
|
213 |
212
|
fvoveq1d |
|
214 |
213
|
fveq2d |
|
215 |
214
|
oveq1d |
|
216 |
211 215
|
sumeq12rdv |
|
217 |
209 216
|
syl5eq |
|
218 |
203 217
|
oveq12d |
|
219 |
202 218
|
oveq12d |
|
220 |
|
id |
|
221 |
219 220
|
oveq12d |
|
222 |
221
|
breq1d |
|
223 |
|
1re |
|
224 |
|
rexr |
|
225 |
|
elioopnf |
|
226 |
223 224 225
|
mp2b |
|
227 |
133 135 226
|
sylanbrc |
|
228 |
222 20 227
|
rspcdva |
|
229 |
199 228
|
eqbrtrrd |
|
230 |
30 152 62
|
lesubadd2d |
|
231 |
229 230
|
mpbid |
|
232 |
|
2cnd |
|
233 |
148
|
recnd |
|
234 |
233 186
|
mulcld |
|
235 |
138 234
|
fsumcl |
|
236 |
136
|
rpne0d |
|
237 |
232 235 66 236
|
div23d |
|
238 |
29
|
resqcld |
|
239 |
57 238
|
remulcld |
|
240 |
41 239
|
remulcld |
|
241 |
|
remulcl |
|
242 |
36 240 241
|
sylancr |
|
243 |
35 29
|
remulcld |
|
244 |
|
remulcl |
|
245 |
36 151 244
|
sylancr |
|
246 |
31
|
adantr |
|
247 |
246 141
|
nndivred |
|
248 |
247 148
|
resubcld |
|
249 |
248 149
|
remulcld |
|
250 |
138 249
|
fsumrecl |
|
251 |
37 250
|
remulcld |
|
252 |
243 245
|
resubcld |
|
253 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
|
pntlemf |
|
254 |
|
2pos |
|
255 |
254
|
a1i |
|
256 |
|
lemul2 |
|
257 |
240 250 37 255 256
|
syl112anc |
|
258 |
253 257
|
mpbid |
|
259 |
247
|
recnd |
|
260 |
259 233 186
|
subdird |
|
261 |
260
|
sumeq2dv |
|
262 |
247 149
|
remulcld |
|
263 |
262
|
recnd |
|
264 |
138 263 234
|
fsumsub |
|
265 |
261 264
|
eqtrd |
|
266 |
265
|
oveq2d |
|
267 |
138 262
|
fsumrecl |
|
268 |
267
|
recnd |
|
269 |
232 268 235
|
subdid |
|
270 |
266 269
|
eqtrd |
|
271 |
|
remulcl |
|
272 |
36 267 271
|
sylancr |
|
273 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
|
pntlemk |
|
274 |
272 243 245 273
|
lesub1dd |
|
275 |
270 274
|
eqbrtrd |
|
276 |
242 251 252 258 275
|
letrd |
|
277 |
242 243 245 276
|
lesubd |
|
278 |
35
|
recnd |
|
279 |
60
|
recnd |
|
280 |
278 279 66
|
subdird |
|
281 |
59
|
recnd |
|
282 |
232 281 66
|
mulassd |
|
283 |
65 66 66
|
mulassd |
|
284 |
66
|
sqvald |
|
285 |
284
|
oveq2d |
|
286 |
56
|
rpcnd |
|
287 |
238
|
recnd |
|
288 |
122 286 287
|
mulassd |
|
289 |
283 285 288
|
3eqtr2d |
|
290 |
289
|
oveq2d |
|
291 |
282 290
|
eqtrd |
|
292 |
291
|
oveq2d |
|
293 |
280 292
|
eqtrd |
|
294 |
277 293
|
breqtrrd |
|
295 |
245 61 136
|
ledivmul2d |
|
296 |
294 295
|
mpbird |
|
297 |
237 296
|
eqbrtrrd |
|
298 |
152 61 62 297
|
leadd1dd |
|
299 |
30 153 63 231 298
|
letrd |
|
300 |
|
remulcl |
|
301 |
31 32 300
|
sylancl |
|
302 |
301 62
|
readdcld |
|
303 |
21
|
simp3d |
|
304 |
303
|
simp3d |
|
305 |
302 59 130 304
|
leadd2dd |
|
306 |
33
|
recnd |
|
307 |
64 66 306
|
adddid |
|
308 |
307
|
oveq1d |
|
309 |
130
|
recnd |
|
310 |
64 306
|
mulcld |
|
311 |
13
|
rpcnd |
|
312 |
309 310 311
|
addassd |
|
313 |
308 312
|
eqtrd |
|
314 |
281
|
2timesd |
|
315 |
314
|
oveq2d |
|
316 |
309 281 281
|
nppcan3d |
|
317 |
315 316
|
eqtrd |
|
318 |
305 313 317
|
3brtr4d |
|
319 |
35 62
|
readdcld |
|
320 |
319 60 131
|
lesubaddd |
|
321 |
318 320
|
mpbird |
|
322 |
278 311 279
|
addsubd |
|
323 |
321 322 129
|
3brtr3d |
|
324 |
30 63 132 299 323
|
letrd |
|
325 |
|
3z |
|
326 |
|
rpexpcl |
|
327 |
7 325 326
|
sylancl |
|
328 |
101 327
|
rpmulcld |
|
329 |
328
|
rpred |
|
330 |
31 329
|
resubcld |
|
331 |
28 330 136
|
lemul1d |
|
332 |
324 331
|
mpbird |
|