Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem26.1 |
|
2 |
|
fourierdlem26.2 |
|
3 |
|
fourierdlem26.3 |
|
4 |
|
fourierdlem26.4 |
|
5 |
|
fourierdlem26.5 |
|
6 |
|
fourierdlem26.6 |
|
7 |
|
fourierdlem26.7 |
|
8 |
|
fourierdlem26.8 |
|
9 |
5
|
a1i |
|
10 |
|
simpr |
|
11 |
10
|
oveq2d |
|
12 |
11
|
oveq1d |
|
13 |
12
|
fveq2d |
|
14 |
13
|
oveq1d |
|
15 |
10 14
|
oveq12d |
|
16 |
6
|
rexrd |
|
17 |
2 1
|
resubcld |
|
18 |
4 17
|
eqeltrid |
|
19 |
6 18
|
readdcld |
|
20 |
|
elioc2 |
|
21 |
16 19 20
|
syl2anc |
|
22 |
8 21
|
mpbid |
|
23 |
22
|
simp1d |
|
24 |
2 23
|
resubcld |
|
25 |
1 2
|
posdifd |
|
26 |
3 25
|
mpbid |
|
27 |
26 4
|
breqtrrdi |
|
28 |
27
|
gt0ne0d |
|
29 |
24 18 28
|
redivcld |
|
30 |
29
|
flcld |
|
31 |
30
|
zred |
|
32 |
31 18
|
remulcld |
|
33 |
23 32
|
readdcld |
|
34 |
9 15 23 33
|
fvmptd |
|
35 |
6
|
recnd |
|
36 |
23
|
recnd |
|
37 |
35 36
|
pncan3d |
|
38 |
37
|
eqcomd |
|
39 |
38
|
oveq2d |
|
40 |
2
|
recnd |
|
41 |
36 35
|
subcld |
|
42 |
40 35 41
|
subsub4d |
|
43 |
39 42
|
eqtr4d |
|
44 |
43
|
oveq1d |
|
45 |
2 6
|
resubcld |
|
46 |
45
|
recnd |
|
47 |
18
|
recnd |
|
48 |
46 41 47 28
|
divsubdird |
|
49 |
41 47 28
|
divnegd |
|
50 |
36 35
|
negsubdi2d |
|
51 |
50
|
oveq1d |
|
52 |
49 51
|
eqtrd |
|
53 |
52
|
oveq2d |
|
54 |
45 18 28
|
redivcld |
|
55 |
54
|
recnd |
|
56 |
41 47 28
|
divcld |
|
57 |
55 56
|
negsubd |
|
58 |
|
1cnd |
|
59 |
55 58
|
npcand |
|
60 |
59
|
eqcomd |
|
61 |
60
|
oveq1d |
|
62 |
55 58
|
subcld |
|
63 |
35 36
|
subcld |
|
64 |
63 47 28
|
divcld |
|
65 |
62 58 64
|
addassd |
|
66 |
61 65
|
eqtrd |
|
67 |
53 57 66
|
3eqtr3d |
|
68 |
44 48 67
|
3eqtrd |
|
69 |
68
|
fveq2d |
|
70 |
6 23
|
resubcld |
|
71 |
18 70
|
readdcld |
|
72 |
18 27
|
elrpd |
|
73 |
35 47
|
addcomd |
|
74 |
73
|
oveq2d |
|
75 |
8 74
|
eleqtrd |
|
76 |
18 6
|
readdcld |
|
77 |
|
elioc2 |
|
78 |
16 76 77
|
syl2anc |
|
79 |
75 78
|
mpbid |
|
80 |
79
|
simp3d |
|
81 |
23 6 18
|
lesubaddd |
|
82 |
80 81
|
mpbird |
|
83 |
23 6
|
resubcld |
|
84 |
18 83
|
subge0d |
|
85 |
82 84
|
mpbird |
|
86 |
47 36 35
|
subsub2d |
|
87 |
85 86
|
breqtrd |
|
88 |
71 72 87
|
divge0d |
|
89 |
47 63 47 28
|
divdird |
|
90 |
47 28
|
dividd |
|
91 |
90
|
eqcomd |
|
92 |
91
|
oveq1d |
|
93 |
89 92
|
eqtr4d |
|
94 |
88 93
|
breqtrd |
|
95 |
22
|
simp2d |
|
96 |
6 23
|
sublt0d |
|
97 |
95 96
|
mpbird |
|
98 |
70 72 97
|
divlt0gt0d |
|
99 |
70 18 28
|
redivcld |
|
100 |
|
1red |
|
101 |
|
ltaddneg |
|
102 |
99 100 101
|
syl2anc |
|
103 |
98 102
|
mpbid |
|
104 |
54
|
flcld |
|
105 |
104
|
zcnd |
|
106 |
105 47
|
mulcld |
|
107 |
35 106
|
pncan2d |
|
108 |
107
|
eqcomd |
|
109 |
108
|
oveq1d |
|
110 |
105 47 28
|
divcan4d |
|
111 |
|
id |
|
112 |
|
oveq2 |
|
113 |
112
|
oveq1d |
|
114 |
113
|
fveq2d |
|
115 |
114
|
oveq1d |
|
116 |
111 115
|
oveq12d |
|
117 |
116
|
adantl |
|
118 |
|
reflcl |
|
119 |
54 118
|
syl |
|
120 |
119 18
|
remulcld |
|
121 |
6 120
|
readdcld |
|
122 |
9 117 6 121
|
fvmptd |
|
123 |
122
|
eqcomd |
|
124 |
123
|
oveq1d |
|
125 |
124
|
oveq1d |
|
126 |
7
|
oveq1d |
|
127 |
126
|
oveq1d |
|
128 |
125 127
|
eqtrd |
|
129 |
109 110 128
|
3eqtr3d |
|
130 |
129 104
|
eqeltrrd |
|
131 |
|
1zzd |
|
132 |
130 131
|
zsubcld |
|
133 |
100 99
|
readdcld |
|
134 |
|
flbi2 |
|
135 |
132 133 134
|
syl2anc |
|
136 |
94 103 135
|
mpbir2and |
|
137 |
129
|
eqcomd |
|
138 |
137
|
oveq1d |
|
139 |
69 136 138
|
3eqtrd |
|
140 |
139
|
oveq1d |
|
141 |
140
|
oveq2d |
|
142 |
38
|
oveq1d |
|
143 |
105 58 47
|
subdird |
|
144 |
143
|
oveq2d |
|
145 |
35 41
|
addcld |
|
146 |
58 47
|
mulcld |
|
147 |
145 106 146
|
addsubassd |
|
148 |
147
|
eqcomd |
|
149 |
35 41 106
|
add32d |
|
150 |
149
|
oveq1d |
|
151 |
123
|
oveq1d |
|
152 |
47
|
mulid2d |
|
153 |
151 152
|
oveq12d |
|
154 |
7 2
|
eqeltrd |
|
155 |
154
|
recnd |
|
156 |
155 41 47
|
addsubd |
|
157 |
7
|
oveq1d |
|
158 |
4
|
a1i |
|
159 |
158
|
oveq2d |
|
160 |
1
|
recnd |
|
161 |
40 160
|
nncand |
|
162 |
157 159 161
|
3eqtrd |
|
163 |
162
|
oveq1d |
|
164 |
156 163
|
eqtrd |
|
165 |
150 153 164
|
3eqtrd |
|
166 |
144 148 165
|
3eqtrd |
|
167 |
142 166
|
eqtrd |
|
168 |
34 141 167
|
3eqtrd |
|