Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem46.cn |
|
2 |
|
fourierdlem46.rlim |
|
3 |
|
fourierdlem46.llim |
|
4 |
|
fourierdlem46.qiso |
|
5 |
|
fourierdlem46.qf |
|
6 |
|
fourierdlem46.i |
|
7 |
|
fourierdlem46.10 |
|
8 |
|
fourierdlem46.qiss |
|
9 |
|
fourierdlem46.c |
|
10 |
|
fourierdlem46.h |
|
11 |
|
fourierdlem46.ranq |
|
12 |
|
pire |
|
13 |
12
|
a1i |
|
14 |
13
|
renegcld |
|
15 |
|
tpssi |
|
16 |
14 13 9 15
|
syl3anc |
|
17 |
14 13
|
iccssred |
|
18 |
17
|
ssdifssd |
|
19 |
16 18
|
unssd |
|
20 |
10 19
|
eqsstrid |
|
21 |
|
elfzofz |
|
22 |
6 21
|
syl |
|
23 |
5 22
|
ffvelrnd |
|
24 |
20 23
|
sseldd |
|
25 |
24
|
adantr |
|
26 |
|
fzofzp1 |
|
27 |
6 26
|
syl |
|
28 |
5 27
|
ffvelrnd |
|
29 |
20 28
|
sseldd |
|
30 |
29
|
rexrd |
|
31 |
30
|
adantr |
|
32 |
7
|
adantr |
|
33 |
|
simpr |
|
34 |
|
simpl |
|
35 |
33 34
|
eqeltrd |
|
36 |
35
|
adantll |
|
37 |
36
|
adantlr |
|
38 |
|
ssun2 |
|
39 |
38 10
|
sseqtrri |
|
40 |
|
ioossicc |
|
41 |
8 40
|
sstrdi |
|
42 |
41
|
sselda |
|
43 |
42
|
adantr |
|
44 |
|
simpr |
|
45 |
43 44
|
eldifd |
|
46 |
39 45
|
sseldi |
|
47 |
11
|
eqcomd |
|
48 |
47
|
ad2antrr |
|
49 |
46 48
|
eleqtrd |
|
50 |
|
simpr |
|
51 |
|
ffn |
|
52 |
5 51
|
syl |
|
53 |
52
|
adantr |
|
54 |
|
fvelrnb |
|
55 |
53 54
|
syl |
|
56 |
50 55
|
mpbid |
|
57 |
56
|
adantlr |
|
58 |
|
elfzelz |
|
59 |
58
|
ad2antlr |
|
60 |
|
simplll |
|
61 |
|
simplr |
|
62 |
|
simpr |
|
63 |
|
simplr |
|
64 |
62 63
|
eqeltrd |
|
65 |
64
|
adantlr |
|
66 |
|
elfzoelz |
|
67 |
6 66
|
syl |
|
68 |
67
|
ad2antrr |
|
69 |
24
|
rexrd |
|
70 |
69
|
ad2antrr |
|
71 |
30
|
ad2antrr |
|
72 |
|
simpr |
|
73 |
|
ioogtlb |
|
74 |
70 71 72 73
|
syl3anc |
|
75 |
4
|
ad2antrr |
|
76 |
22
|
ad2antrr |
|
77 |
|
simplr |
|
78 |
|
isorel |
|
79 |
75 76 77 78
|
syl12anc |
|
80 |
74 79
|
mpbird |
|
81 |
|
iooltub |
|
82 |
70 71 72 81
|
syl3anc |
|
83 |
27
|
ad2antrr |
|
84 |
|
isorel |
|
85 |
75 77 83 84
|
syl12anc |
|
86 |
82 85
|
mpbird |
|
87 |
|
btwnnz |
|
88 |
68 80 86 87
|
syl3anc |
|
89 |
60 61 65 88
|
syl21anc |
|
90 |
89
|
adantllr |
|
91 |
59 90
|
pm2.65da |
|
92 |
91
|
nrexdv |
|
93 |
57 92
|
pm2.65da |
|
94 |
93
|
adantr |
|
95 |
49 94
|
condan |
|
96 |
95
|
ralrimiva |
|
97 |
|
dfss3 |
|
98 |
96 97
|
sylibr |
|
99 |
98
|
ad2antrr |
|
100 |
69
|
ad2antrr |
|
101 |
30
|
ad2antrr |
|
102 |
|
icossre |
|
103 |
24 30 102
|
syl2anc |
|
104 |
103
|
sselda |
|
105 |
104
|
adantr |
|
106 |
24
|
ad2antrr |
|
107 |
69
|
adantr |
|
108 |
30
|
adantr |
|
109 |
|
simpr |
|
110 |
|
icogelb |
|
111 |
107 108 109 110
|
syl3anc |
|
112 |
111
|
adantr |
|
113 |
|
neqne |
|
114 |
113
|
adantl |
|
115 |
106 105 112 114
|
leneltd |
|
116 |
|
icoltub |
|
117 |
107 108 109 116
|
syl3anc |
|
118 |
117
|
adantr |
|
119 |
100 101 105 115 118
|
eliood |
|
120 |
99 119
|
sseldd |
|
121 |
120
|
adantllr |
|
122 |
37 121
|
pm2.61dan |
|
123 |
122
|
ralrimiva |
|
124 |
|
dfss3 |
|
125 |
123 124
|
sylibr |
|
126 |
1
|
adantr |
|
127 |
|
rescncf |
|
128 |
125 126 127
|
sylc |
|
129 |
25 31 32 128
|
icocncflimc |
|
130 |
24
|
leidd |
|
131 |
69 30 69 130 7
|
elicod |
|
132 |
|
fvres |
|
133 |
131 132
|
syl |
|
134 |
133
|
eqcomd |
|
135 |
134
|
adantr |
|
136 |
|
ioossico |
|
137 |
136
|
a1i |
|
138 |
137
|
resabs1d |
|
139 |
138
|
eqcomd |
|
140 |
139
|
oveq1d |
|
141 |
129 135 140
|
3eltr4d |
|
142 |
141
|
ne0d |
|
143 |
|
pnfxr |
|
144 |
143
|
a1i |
|
145 |
29
|
ltpnfd |
|
146 |
30 144 145
|
xrltled |
|
147 |
|
iooss2 |
|
148 |
143 146 147
|
sylancr |
|
149 |
148
|
resabs1d |
|
150 |
149
|
oveq1d |
|
151 |
150
|
eqcomd |
|
152 |
151
|
adantr |
|
153 |
|
limcresi |
|
154 |
24
|
adantr |
|
155 |
|
simpl |
|
156 |
12
|
renegcli |
|
157 |
156
|
rexri |
|
158 |
157
|
a1i |
|
159 |
12
|
rexri |
|
160 |
159
|
a1i |
|
161 |
14 13 24 29 7 8
|
fourierdlem10 |
|
162 |
161
|
simpld |
|
163 |
161
|
simprd |
|
164 |
24 29 13 7 163
|
ltletrd |
|
165 |
158 160 69 162 164
|
elicod |
|
166 |
165
|
adantr |
|
167 |
|
simpr |
|
168 |
166 167
|
eldifd |
|
169 |
155 168
|
jca |
|
170 |
|
eleq1 |
|
171 |
170
|
anbi2d |
|
172 |
|
oveq1 |
|
173 |
172
|
reseq2d |
|
174 |
|
id |
|
175 |
173 174
|
oveq12d |
|
176 |
175
|
neeq1d |
|
177 |
171 176
|
imbi12d |
|
178 |
177 2
|
vtoclg |
|
179 |
154 169 178
|
sylc |
|
180 |
|
ssn0 |
|
181 |
153 179 180
|
sylancr |
|
182 |
152 181
|
eqnetrd |
|
183 |
142 182
|
pm2.61dan |
|
184 |
69
|
adantr |
|
185 |
29
|
adantr |
|
186 |
7
|
adantr |
|
187 |
|
simpr |
|
188 |
|
simpl |
|
189 |
187 188
|
eqeltrd |
|
190 |
189
|
adantll |
|
191 |
190
|
adantlr |
|
192 |
98
|
ad2antrr |
|
193 |
69
|
ad2antrr |
|
194 |
30
|
ad2antrr |
|
195 |
69
|
adantr |
|
196 |
29
|
adantr |
|
197 |
|
iocssre |
|
198 |
195 196 197
|
syl2anc |
|
199 |
|
simpr |
|
200 |
198 199
|
sseldd |
|
201 |
200
|
adantr |
|
202 |
30
|
adantr |
|
203 |
|
iocgtlb |
|
204 |
195 202 199 203
|
syl3anc |
|
205 |
204
|
adantr |
|
206 |
29
|
ad2antrr |
|
207 |
|
iocleub |
|
208 |
195 202 199 207
|
syl3anc |
|
209 |
208
|
adantr |
|
210 |
|
neqne |
|
211 |
210
|
necomd |
|
212 |
211
|
adantl |
|
213 |
201 206 209 212
|
leneltd |
|
214 |
193 194 201 205 213
|
eliood |
|
215 |
192 214
|
sseldd |
|
216 |
215
|
adantllr |
|
217 |
191 216
|
pm2.61dan |
|
218 |
217
|
ralrimiva |
|
219 |
|
dfss3 |
|
220 |
218 219
|
sylibr |
|
221 |
1
|
adantr |
|
222 |
|
rescncf |
|
223 |
220 221 222
|
sylc |
|
224 |
184 185 186 223
|
ioccncflimc |
|
225 |
29
|
leidd |
|
226 |
69 30 30 7 225
|
eliocd |
|
227 |
|
fvres |
|
228 |
226 227
|
syl |
|
229 |
228
|
eqcomd |
|
230 |
|
ioossioc |
|
231 |
|
resabs1 |
|
232 |
230 231
|
ax-mp |
|
233 |
232
|
eqcomi |
|
234 |
233
|
oveq1i |
|
235 |
234
|
a1i |
|
236 |
229 235
|
eleq12d |
|
237 |
236
|
adantr |
|
238 |
224 237
|
mpbird |
|
239 |
238
|
ne0d |
|
240 |
|
mnfxr |
|
241 |
240
|
a1i |
|
242 |
24
|
mnfltd |
|
243 |
241 69 242
|
xrltled |
|
244 |
|
iooss1 |
|
245 |
240 243 244
|
sylancr |
|
246 |
245
|
resabs1d |
|
247 |
246
|
eqcomd |
|
248 |
247
|
adantr |
|
249 |
248
|
oveq1d |
|
250 |
|
limcresi |
|
251 |
29
|
adantr |
|
252 |
|
simpl |
|
253 |
157
|
a1i |
|
254 |
159
|
a1i |
|
255 |
30
|
adantr |
|
256 |
14 24 29 162 7
|
lelttrd |
|
257 |
256
|
adantr |
|
258 |
163
|
adantr |
|
259 |
253 254 255 257 258
|
eliocd |
|
260 |
|
simpr |
|
261 |
259 260
|
eldifd |
|
262 |
252 261
|
jca |
|
263 |
|
eleq1 |
|
264 |
263
|
anbi2d |
|
265 |
|
oveq2 |
|
266 |
265
|
reseq2d |
|
267 |
|
id |
|
268 |
266 267
|
oveq12d |
|
269 |
268
|
neeq1d |
|
270 |
264 269
|
imbi12d |
|
271 |
270 3
|
vtoclg |
|
272 |
251 262 271
|
sylc |
|
273 |
|
ssn0 |
|
274 |
250 272 273
|
sylancr |
|
275 |
249 274
|
eqnetrd |
|
276 |
239 275
|
pm2.61dan |
|
277 |
183 276
|
jca |
|