Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem59.f |
|
2 |
|
fourierdlem59.x |
|
3 |
|
fourierdlem59.a |
|
4 |
|
fourierdlem59.b |
|
5 |
|
fourierdlem59.n0 |
|
6 |
|
fourierdlem59.fdv |
|
7 |
|
fourierdlem59.c |
|
8 |
|
fourierdlem59.h |
|
9 |
1
|
adantr |
|
10 |
2
|
adantr |
|
11 |
|
elioore |
|
12 |
11
|
adantl |
|
13 |
10 12
|
readdcld |
|
14 |
9 13
|
ffvelrnd |
|
15 |
7
|
adantr |
|
16 |
14 15
|
resubcld |
|
17 |
|
eqcom |
|
18 |
17
|
biimpi |
|
19 |
18
|
adantl |
|
20 |
|
simpl |
|
21 |
19 20
|
eqeltrd |
|
22 |
21
|
adantll |
|
23 |
5
|
ad2antrr |
|
24 |
22 23
|
pm2.65da |
|
25 |
24
|
neqned |
|
26 |
16 12 25
|
redivcld |
|
27 |
26 8
|
fmptd |
|
28 |
|
ioossre |
|
29 |
28
|
a1i |
|
30 |
|
dvfre |
|
31 |
27 29 30
|
syl2anc |
|
32 |
|
ovex |
|
33 |
32
|
a1i |
|
34 |
|
eqidd |
|
35 |
|
eqidd |
|
36 |
33 16 12 34 35
|
offval2 |
|
37 |
8 36
|
eqtr4id |
|
38 |
37
|
oveq2d |
|
39 |
|
reelprrecn |
|
40 |
39
|
a1i |
|
41 |
16
|
recnd |
|
42 |
|
eqid |
|
43 |
41 42
|
fmptd |
|
44 |
12
|
recnd |
|
45 |
|
eldifsn |
|
46 |
44 25 45
|
sylanbrc |
|
47 |
|
eqid |
|
48 |
46 47
|
fmptd |
|
49 |
|
eqidd |
|
50 |
|
eqidd |
|
51 |
33 14 15 49 50
|
offval2 |
|
52 |
51
|
eqcomd |
|
53 |
52
|
oveq2d |
|
54 |
14
|
recnd |
|
55 |
|
eqid |
|
56 |
54 55
|
fmptd |
|
57 |
15
|
recnd |
|
58 |
|
eqid |
|
59 |
57 58
|
fmptd |
|
60 |
|
eqid |
|
61 |
|
cncff |
|
62 |
6 61
|
syl |
|
63 |
1 2 3 4 60 62
|
fourierdlem28 |
|
64 |
|
ioosscn |
|
65 |
64
|
a1i |
|
66 |
|
ax-resscn |
|
67 |
66
|
a1i |
|
68 |
62 67
|
fssd |
|
69 |
|
ssid |
|
70 |
69
|
a1i |
|
71 |
|
cncffvrn |
|
72 |
70 6 71
|
syl2anc |
|
73 |
68 72
|
mpbird |
|
74 |
|
ioosscn |
|
75 |
74
|
a1i |
|
76 |
2
|
recnd |
|
77 |
2 3
|
readdcld |
|
78 |
77
|
rexrd |
|
79 |
78
|
adantr |
|
80 |
2 4
|
readdcld |
|
81 |
80
|
rexrd |
|
82 |
81
|
adantr |
|
83 |
3
|
adantr |
|
84 |
83
|
rexrd |
|
85 |
4
|
rexrd |
|
86 |
85
|
adantr |
|
87 |
|
simpr |
|
88 |
|
ioogtlb |
|
89 |
84 86 87 88
|
syl3anc |
|
90 |
83 12 10 89
|
ltadd2dd |
|
91 |
4
|
adantr |
|
92 |
|
iooltub |
|
93 |
84 86 87 92
|
syl3anc |
|
94 |
12 91 10 93
|
ltadd2dd |
|
95 |
79 82 13 90 94
|
eliood |
|
96 |
65 73 75 76 95
|
fourierdlem23 |
|
97 |
63 96
|
eqeltrd |
|
98 |
|
iooretop |
|
99 |
|
eqid |
|
100 |
99
|
tgioo2 |
|
101 |
98 100
|
eleqtri |
|
102 |
101
|
a1i |
|
103 |
7
|
recnd |
|
104 |
40 102 103
|
dvmptconst |
|
105 |
|
0cnd |
|
106 |
75 105 70
|
constcncfg |
|
107 |
104 106
|
eqeltrd |
|
108 |
40 56 59 97 107
|
dvsubcncf |
|
109 |
53 108
|
eqeltrd |
|
110 |
40 102
|
dvmptidg |
|
111 |
|
1cnd |
|
112 |
75 111 70
|
constcncfg |
|
113 |
110 112
|
eqeltrd |
|
114 |
40 43 48 109 113
|
dvdivcncf |
|
115 |
38 114
|
eqeltrd |
|
116 |
|
cncff |
|
117 |
|
fdm |
|
118 |
115 116 117
|
3syl |
|
119 |
118
|
feq2d |
|
120 |
31 119
|
mpbid |
|
121 |
|
cncffvrn |
|
122 |
67 115 121
|
syl2anc |
|
123 |
120 122
|
mpbird |
|