Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem95.f |
|
2 |
|
fourierdlem95.xre |
|
3 |
|
fourierdlem95.p |
|
4 |
|
fourierdlem95.m |
|
5 |
|
fourierdlem95.v |
|
6 |
|
fourierdlem95.x |
|
7 |
|
fourierdlem95.fcn |
|
8 |
|
fourierdlem95.r |
|
9 |
|
fourierdlem95.l |
|
10 |
|
fourierdlem95.h |
|
11 |
|
fourierdlem95.k |
|
12 |
|
fourierdlem95.u |
|
13 |
|
fourierdlem95.s |
|
14 |
|
fourierdlem95.g |
|
15 |
|
fourierdlem95.i |
|
16 |
|
fourierdlem95.ifn |
|
17 |
|
fourierdlem95.b |
|
18 |
|
fourierdlem95.c |
|
19 |
|
fourierdlem95.y |
|
20 |
|
fourierdlem95.w |
|
21 |
|
fourierdlem95.admvol |
|
22 |
|
fourierdlem95.ass |
|
23 |
|
fourierlemenplusacver2eqitgdirker.e |
|
24 |
|
fourierdlem95.d |
|
25 |
|
fourierdlem95.o |
|
26 |
|
fourierdlem95.ifeqo |
|
27 |
|
fourierdlem95.itgdirker |
|
28 |
|
simpr |
|
29 |
22
|
difss2d |
|
30 |
29
|
adantr |
|
31 |
30
|
sselda |
|
32 |
1
|
adantr |
|
33 |
2
|
adantr |
|
34 |
|
ioossre |
|
35 |
34
|
a1i |
|
36 |
1 35
|
fssresd |
|
37 |
|
ioosscn |
|
38 |
37
|
a1i |
|
39 |
|
eqid |
|
40 |
|
pnfxr |
|
41 |
40
|
a1i |
|
42 |
2
|
ltpnfd |
|
43 |
39 41 2 42
|
lptioo1cn |
|
44 |
36 38 43 19
|
limcrecl |
|
45 |
44
|
adantr |
|
46 |
|
ioossre |
|
47 |
46
|
a1i |
|
48 |
1 47
|
fssresd |
|
49 |
|
ioosscn |
|
50 |
49
|
a1i |
|
51 |
|
mnfxr |
|
52 |
51
|
a1i |
|
53 |
2
|
mnfltd |
|
54 |
39 52 2 53
|
lptioo2cn |
|
55 |
48 50 54 20
|
limcrecl |
|
56 |
55
|
adantr |
|
57 |
28
|
nnred |
|
58 |
32 33 45 56 10 11 12 57 13 14
|
fourierdlem67 |
|
59 |
58
|
ffvelrnda |
|
60 |
31 59
|
syldan |
|
61 |
21
|
adantr |
|
62 |
58
|
feqmptd |
|
63 |
6
|
adantr |
|
64 |
19
|
adantr |
|
65 |
20
|
adantr |
|
66 |
4
|
adantr |
|
67 |
5
|
adantr |
|
68 |
7
|
adantlr |
|
69 |
8
|
adantlr |
|
70 |
9
|
adantlr |
|
71 |
|
fveq2 |
|
72 |
71
|
oveq1d |
|
73 |
72
|
cbvmptv |
|
74 |
|
eqid |
|
75 |
16
|
adantlr |
|
76 |
17
|
adantr |
|
77 |
18
|
adantr |
|
78 |
3 32 63 64 65 10 11 12 57 13 14 66 67 68 69 70 73 74 15 75 76 77
|
fourierdlem88 |
|
79 |
62 78
|
eqeltrrd |
|
80 |
30 61 59 79
|
iblss |
|
81 |
60 80
|
itgrecl |
|
82 |
|
pire |
|
83 |
82
|
a1i |
|
84 |
|
pipos |
|
85 |
82 84
|
gt0ne0ii |
|
86 |
85
|
a1i |
|
87 |
81 83 86
|
redivcld |
|
88 |
23
|
fvmpt2 |
|
89 |
28 87 88
|
syl2anc |
|
90 |
25
|
recnd |
|
91 |
|
2cnd |
|
92 |
|
2ne0 |
|
93 |
92
|
a1i |
|
94 |
90 91 93
|
divrecd |
|
95 |
94
|
adantr |
|
96 |
27
|
eqcomd |
|
97 |
96
|
oveq2d |
|
98 |
95 97
|
eqtrd |
|
99 |
89 98
|
oveq12d |
|
100 |
22
|
sselda |
|
101 |
100
|
adantlr |
|
102 |
|
eqid |
|
103 |
1 2 44 55 24 10 11 12 13 14 102
|
fourierdlem66 |
|
104 |
101 103
|
syldan |
|
105 |
104
|
itgeq2dv |
|
106 |
105
|
oveq1d |
|
107 |
83
|
recnd |
|
108 |
1
|
adantr |
|
109 |
2
|
adantr |
|
110 |
|
difss |
|
111 |
82
|
renegcli |
|
112 |
|
iccssre |
|
113 |
111 82 112
|
mp2an |
|
114 |
110 113
|
sstri |
|
115 |
114 100
|
sseldi |
|
116 |
109 115
|
readdcld |
|
117 |
108 116
|
ffvelrnd |
|
118 |
44 55
|
ifcld |
|
119 |
118
|
adantr |
|
120 |
117 119
|
resubcld |
|
121 |
120
|
adantlr |
|
122 |
28
|
adantr |
|
123 |
115
|
adantlr |
|
124 |
24
|
dirkerre |
|
125 |
122 123 124
|
syl2anc |
|
126 |
121 125
|
remulcld |
|
127 |
104
|
eqcomd |
|
128 |
127
|
oveq1d |
|
129 |
|
picn |
|
130 |
129
|
a1i |
|
131 |
126
|
recnd |
|
132 |
85
|
a1i |
|
133 |
130 131 130 132
|
div23d |
|
134 |
60
|
recnd |
|
135 |
134 130 132
|
divrec2d |
|
136 |
128 133 135
|
3eqtr3rd |
|
137 |
129 85
|
dividi |
|
138 |
137
|
a1i |
|
139 |
138
|
oveq1d |
|
140 |
131
|
mulid2d |
|
141 |
136 139 140
|
3eqtrrd |
|
142 |
141
|
mpteq2dva |
|
143 |
107 86
|
reccld |
|
144 |
143 60 80
|
iblmulc2 |
|
145 |
142 144
|
eqeltrd |
|
146 |
107 126 145
|
itgmulc2 |
|
147 |
146
|
eqcomd |
|
148 |
147
|
oveq1d |
|
149 |
126 145
|
itgcl |
|
150 |
149 107 86
|
divcan3d |
|
151 |
106 148 150
|
3eqtrd |
|
152 |
90
|
adantr |
|
153 |
113
|
sseli |
|
154 |
153 124
|
sylan2 |
|
155 |
154
|
adantll |
|
156 |
111
|
a1i |
|
157 |
|
ax-resscn |
|
158 |
157
|
a1i |
|
159 |
|
ssid |
|
160 |
|
cncfss |
|
161 |
158 159 160
|
sylancl |
|
162 |
|
eqid |
|
163 |
24
|
dirkerf |
|
164 |
163
|
feqmptd |
|
165 |
24
|
dirkercncf |
|
166 |
164 165
|
eqeltrrd |
|
167 |
113
|
a1i |
|
168 |
|
ssid |
|
169 |
168
|
a1i |
|
170 |
162 166 167 169 154
|
cncfmptssg |
|
171 |
161 170
|
sseldd |
|
172 |
171
|
adantl |
|
173 |
|
cniccibl |
|
174 |
156 83 172 173
|
syl3anc |
|
175 |
30 61 155 174
|
iblss |
|
176 |
152 125 175
|
itgmulc2 |
|
177 |
151 176
|
oveq12d |
|
178 |
25
|
ad2antrr |
|
179 |
178 125
|
remulcld |
|
180 |
152 125 175
|
iblmulc2 |
|
181 |
126 145 179 180
|
itgadd |
|
182 |
26
|
eqcomd |
|
183 |
182
|
adantlr |
|
184 |
183
|
oveq1d |
|
185 |
184
|
oveq2d |
|
186 |
117
|
recnd |
|
187 |
186
|
adantlr |
|
188 |
119
|
recnd |
|
189 |
188
|
adantlr |
|
190 |
125
|
recnd |
|
191 |
187 189 190
|
subdird |
|
192 |
191
|
oveq1d |
|
193 |
187 190
|
mulcld |
|
194 |
189 190
|
mulcld |
|
195 |
193 194
|
npcand |
|
196 |
185 192 195
|
3eqtrd |
|
197 |
196
|
itgeq2dv |
|
198 |
181 197
|
eqtr3d |
|
199 |
99 177 198
|
3eqtrd |
|