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.o |
|
21 |
|
pntlem1.v |
|
22 |
|
pntlem1.V |
|
23 |
|
pntlem1.j |
|
24 |
|
pntlem1.i |
|
25 |
1 2 3 4 5 6 7 8 9 10
|
pntlemc |
|
26 |
25
|
simp3d |
|
27 |
26
|
simp3d |
|
28 |
1 2 3 4 5 6
|
pntlemd |
|
29 |
28
|
simp1d |
|
30 |
25
|
simp1d |
|
31 |
29 30
|
rpmulcld |
|
32 |
|
8nn |
|
33 |
|
nnrp |
|
34 |
32 33
|
ax-mp |
|
35 |
|
rpdivcl |
|
36 |
31 34 35
|
sylancl |
|
37 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
|
pntlemb |
|
38 |
37
|
simp1d |
|
39 |
38
|
rpred |
|
40 |
37
|
simp2d |
|
41 |
40
|
simp1d |
|
42 |
39 41
|
rplogcld |
|
43 |
36 42
|
rpmulcld |
|
44 |
27 43
|
rpmulcld |
|
45 |
44
|
rpred |
|
46 |
|
fzfid |
|
47 |
24 46
|
eqeltrid |
|
48 |
|
hashcl |
|
49 |
47 48
|
syl |
|
50 |
49
|
nn0red |
|
51 |
27
|
rpred |
|
52 |
38 21
|
rpdivcld |
|
53 |
52
|
relogcld |
|
54 |
53 52
|
rerpdivcld |
|
55 |
51 54
|
remulcld |
|
56 |
50 55
|
remulcld |
|
57 |
|
fzfid |
|
58 |
20 57
|
eqeltrid |
|
59 |
7
|
rpred |
|
60 |
59
|
adantr |
|
61 |
25
|
simp2d |
|
62 |
|
elfzoelz |
|
63 |
23 62
|
syl |
|
64 |
63
|
peano2zd |
|
65 |
61 64
|
rpexpcld |
|
66 |
38 65
|
rpdivcld |
|
67 |
66
|
rprege0d |
|
68 |
|
flge0nn0 |
|
69 |
|
nn0p1nn |
|
70 |
67 68 69
|
3syl |
|
71 |
|
elfzuz |
|
72 |
71 20
|
eleq2s |
|
73 |
|
eluznn |
|
74 |
70 72 73
|
syl2an |
|
75 |
60 74
|
nndivred |
|
76 |
38
|
adantr |
|
77 |
74
|
nnrpd |
|
78 |
76 77
|
rpdivcld |
|
79 |
1
|
pntrf |
|
80 |
79
|
ffvelrni |
|
81 |
78 80
|
syl |
|
82 |
81 76
|
rerpdivcld |
|
83 |
82
|
recnd |
|
84 |
83
|
abscld |
|
85 |
75 84
|
resubcld |
|
86 |
77
|
relogcld |
|
87 |
85 86
|
remulcld |
|
88 |
58 87
|
fsumrecl |
|
89 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
|
pntlemr |
|
90 |
55
|
recnd |
|
91 |
|
fsumconst |
|
92 |
47 90 91
|
syl2anc |
|
93 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
|
pntlemq |
|
94 |
90
|
ralrimivw |
|
95 |
58
|
olcd |
|
96 |
|
sumss2 |
|
97 |
93 94 95 96
|
syl21anc |
|
98 |
92 97
|
eqtr3d |
|
99 |
55
|
adantr |
|
100 |
99
|
adantlr |
|
101 |
|
0red |
|
102 |
100 101
|
ifclda |
|
103 |
|
breq1 |
|
104 |
|
breq1 |
|
105 |
27
|
rpregt0d |
|
106 |
105
|
adantr |
|
107 |
106
|
simpld |
|
108 |
|
1rp |
|
109 |
|
rpaddcl |
|
110 |
108 31 109
|
sylancr |
|
111 |
110 21
|
rpmulcld |
|
112 |
38 111
|
rpdivcld |
|
113 |
112
|
rprege0d |
|
114 |
|
flge0nn0 |
|
115 |
|
nn0p1nn |
|
116 |
113 114 115
|
3syl |
|
117 |
|
elfzuz |
|
118 |
117 24
|
eleq2s |
|
119 |
|
eluznn |
|
120 |
116 118 119
|
syl2an |
|
121 |
120
|
nnrpd |
|
122 |
121
|
relogcld |
|
123 |
122 120
|
nndivred |
|
124 |
107 123
|
remulcld |
|
125 |
93
|
sselda |
|
126 |
125 87
|
syldan |
|
127 |
|
simpr |
|
128 |
127 24
|
eleqtrdi |
|
129 |
|
elfzle2 |
|
130 |
128 129
|
syl |
|
131 |
52
|
rpred |
|
132 |
131
|
adantr |
|
133 |
|
elfzelz |
|
134 |
128 133
|
syl |
|
135 |
|
flge |
|
136 |
132 134 135
|
syl2anc |
|
137 |
130 136
|
mpbird |
|
138 |
120
|
nnred |
|
139 |
|
ere |
|
140 |
139
|
a1i |
|
141 |
112
|
rpred |
|
142 |
141
|
adantr |
|
143 |
139
|
a1i |
|
144 |
38
|
rpsqrtcld |
|
145 |
144
|
rpred |
|
146 |
40
|
simp2d |
|
147 |
111
|
rpred |
|
148 |
65
|
rpred |
|
149 |
22
|
simpld |
|
150 |
149
|
simprd |
|
151 |
61
|
rpcnd |
|
152 |
61 63
|
rpexpcld |
|
153 |
152
|
rpcnd |
|
154 |
151 153
|
mulcomd |
|
155 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
|
pntlemg |
|
156 |
155
|
simp1d |
|
157 |
|
elfzouz |
|
158 |
23 157
|
syl |
|
159 |
|
eluznn |
|
160 |
156 158 159
|
syl2anc |
|
161 |
160
|
nnnn0d |
|
162 |
151 161
|
expp1d |
|
163 |
154 162
|
eqtr4d |
|
164 |
150 163
|
breqtrd |
|
165 |
147 148 164
|
ltled |
|
166 |
|
fzofzp1 |
|
167 |
23 166
|
syl |
|
168 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
|
pntlemh |
|
169 |
167 168
|
mpdan |
|
170 |
169
|
simprd |
|
171 |
147 148 145 165 170
|
letrd |
|
172 |
147 145 144
|
lemul2d |
|
173 |
171 172
|
mpbid |
|
174 |
38
|
rprege0d |
|
175 |
|
remsqsqrt |
|
176 |
174 175
|
syl |
|
177 |
173 176
|
breqtrd |
|
178 |
145 39 111
|
lemuldivd |
|
179 |
177 178
|
mpbid |
|
180 |
143 145 141 146 179
|
letrd |
|
181 |
180
|
adantr |
|
182 |
|
reflcl |
|
183 |
|
peano2re |
|
184 |
141 182 183
|
3syl |
|
185 |
184
|
adantr |
|
186 |
|
fllep1 |
|
187 |
142 186
|
syl |
|
188 |
|
elfzle1 |
|
189 |
128 188
|
syl |
|
190 |
142 185 138 187 189
|
letrd |
|
191 |
140 142 138 181 190
|
letrd |
|
192 |
140 138 132 191 137
|
letrd |
|
193 |
|
logdivle |
|
194 |
138 191 132 192 193
|
syl22anc |
|
195 |
137 194
|
mpbid |
|
196 |
54
|
adantr |
|
197 |
|
lemul2 |
|
198 |
196 123 106 197
|
syl3anc |
|
199 |
195 198
|
mpbid |
|
200 |
27
|
rpcnd |
|
201 |
200
|
adantr |
|
202 |
122
|
recnd |
|
203 |
121
|
rpcnne0d |
|
204 |
|
div23 |
|
205 |
201 202 203 204
|
syl3anc |
|
206 |
|
divass |
|
207 |
201 202 203 206
|
syl3anc |
|
208 |
205 207
|
eqtr3d |
|
209 |
51
|
adantr |
|
210 |
209 120
|
nndivred |
|
211 |
125 85
|
syldan |
|
212 |
|
log1 |
|
213 |
120
|
nnge1d |
|
214 |
|
logleb |
|
215 |
108 121 214
|
sylancr |
|
216 |
213 215
|
mpbid |
|
217 |
212 216
|
eqbrtrrid |
|
218 |
7
|
rpcnd |
|
219 |
218
|
adantr |
|
220 |
30
|
rpred |
|
221 |
220
|
adantr |
|
222 |
221
|
recnd |
|
223 |
|
divsubdir |
|
224 |
219 222 203 223
|
syl3anc |
|
225 |
125 84
|
syldan |
|
226 |
221 120
|
nndivred |
|
227 |
125 75
|
syldan |
|
228 |
125 81
|
syldan |
|
229 |
228
|
recnd |
|
230 |
38
|
adantr |
|
231 |
230
|
rpcnne0d |
|
232 |
|
divdiv2 |
|
233 |
229 231 203 232
|
syl3anc |
|
234 |
121
|
rpcnd |
|
235 |
|
div23 |
|
236 |
229 234 231 235
|
syl3anc |
|
237 |
233 236
|
eqtrd |
|
238 |
237
|
fveq2d |
|
239 |
125 83
|
syldan |
|
240 |
239 234
|
absmuld |
|
241 |
121
|
rprege0d |
|
242 |
|
absid |
|
243 |
241 242
|
syl |
|
244 |
243
|
oveq2d |
|
245 |
238 240 244
|
3eqtrd |
|
246 |
|
fveq2 |
|
247 |
|
id |
|
248 |
246 247
|
oveq12d |
|
249 |
248
|
fveq2d |
|
250 |
249
|
breq1d |
|
251 |
22
|
simprd |
|
252 |
251
|
adantr |
|
253 |
39
|
adantr |
|
254 |
253 120
|
nndivred |
|
255 |
21
|
rpregt0d |
|
256 |
255
|
adantr |
|
257 |
|
lemuldiv2 |
|
258 |
138 253 256 257
|
syl3anc |
|
259 |
137 258
|
mpbird |
|
260 |
256
|
simpld |
|
261 |
260 253 121
|
lemuldivd |
|
262 |
259 261
|
mpbid |
|
263 |
111
|
rpregt0d |
|
264 |
263
|
adantr |
|
265 |
121
|
rpregt0d |
|
266 |
|
lediv23 |
|
267 |
253 264 265 266
|
syl3anc |
|
268 |
190 267
|
mpbid |
|
269 |
21
|
rpred |
|
270 |
269
|
adantr |
|
271 |
147
|
adantr |
|
272 |
|
elicc2 |
|
273 |
270 271 272
|
syl2anc |
|
274 |
254 262 268 273
|
mpbir3and |
|
275 |
250 252 274
|
rspcdva |
|
276 |
245 275
|
eqbrtrrd |
|
277 |
225 221 121
|
lemuldivd |
|
278 |
276 277
|
mpbid |
|
279 |
225 226 227 278
|
lesub2dd |
|
280 |
224 279
|
eqbrtrd |
|
281 |
210 211 122 217 280
|
lemul1ad |
|
282 |
208 281
|
eqbrtrrd |
|
283 |
99 124 126 199 282
|
letrd |
|
284 |
283
|
adantlr |
|
285 |
74
|
nnred |
|
286 |
38 152
|
rpdivcld |
|
287 |
286
|
rpred |
|
288 |
287
|
adantr |
|
289 |
11
|
simpld |
|
290 |
38 289
|
rpdivcld |
|
291 |
290
|
rpred |
|
292 |
291
|
adantr |
|
293 |
|
simpr |
|
294 |
293 20
|
eleqtrdi |
|
295 |
|
elfzle2 |
|
296 |
294 295
|
syl |
|
297 |
74
|
nnzd |
|
298 |
|
flge |
|
299 |
288 297 298
|
syl2anc |
|
300 |
296 299
|
mpbird |
|
301 |
289
|
rpred |
|
302 |
12
|
simpld |
|
303 |
302
|
rpred |
|
304 |
152
|
rpred |
|
305 |
12
|
simprd |
|
306 |
301 303 305
|
ltled |
|
307 |
|
elfzofz |
|
308 |
23 307
|
syl |
|
309 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
|
pntlemh |
|
310 |
308 309
|
mpdan |
|
311 |
310
|
simpld |
|
312 |
303 304 311
|
ltled |
|
313 |
301 303 304 306 312
|
letrd |
|
314 |
289 152 38
|
lediv2d |
|
315 |
313 314
|
mpbid |
|
316 |
315
|
adantr |
|
317 |
285 288 292 300 316
|
letrd |
|
318 |
74 317
|
jca |
|
319 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
|
pntlemn |
|
320 |
318 319
|
syldan |
|
321 |
320
|
adantr |
|
322 |
103 104 284 321
|
ifbothda |
|
323 |
58 102 87 322
|
fsumle |
|
324 |
98 323
|
eqbrtrd |
|
325 |
45 56 88 89 324
|
letrd |
|