Step |
Hyp |
Ref |
Expression |
1 |
|
fourierdlem14.1 |
|
2 |
|
fourierdlem14.2 |
|
3 |
|
fourierdlem14.x |
|
4 |
|
fourierdlem14.p |
|
5 |
|
fourierdlem14.o |
|
6 |
|
fourierdlem14.m |
|
7 |
|
fourierdlem14.v |
|
8 |
|
fourierdlem14.q |
|
9 |
4
|
fourierdlem2 |
|
10 |
6 9
|
syl |
|
11 |
7 10
|
mpbid |
|
12 |
11
|
simpld |
|
13 |
|
elmapi |
|
14 |
12 13
|
syl |
|
15 |
14
|
ffvelrnda |
|
16 |
3
|
adantr |
|
17 |
15 16
|
resubcld |
|
18 |
17 8
|
fmptd |
|
19 |
|
reex |
|
20 |
19
|
a1i |
|
21 |
|
ovex |
|
22 |
21
|
a1i |
|
23 |
20 22
|
elmapd |
|
24 |
18 23
|
mpbird |
|
25 |
8
|
a1i |
|
26 |
|
fveq2 |
|
27 |
26
|
oveq1d |
|
28 |
27
|
adantl |
|
29 |
|
0zd |
|
30 |
6
|
nnzd |
|
31 |
29 30 29
|
3jca |
|
32 |
|
0le0 |
|
33 |
32
|
a1i |
|
34 |
|
0red |
|
35 |
6
|
nnred |
|
36 |
6
|
nngt0d |
|
37 |
34 35 36
|
ltled |
|
38 |
31 33 37
|
jca32 |
|
39 |
|
elfz2 |
|
40 |
38 39
|
sylibr |
|
41 |
14 40
|
ffvelrnd |
|
42 |
41 3
|
resubcld |
|
43 |
25 28 40 42
|
fvmptd |
|
44 |
11
|
simprd |
|
45 |
44
|
simpld |
|
46 |
45
|
simpld |
|
47 |
46
|
oveq1d |
|
48 |
1
|
recnd |
|
49 |
3
|
recnd |
|
50 |
48 49
|
pncand |
|
51 |
43 47 50
|
3eqtrd |
|
52 |
|
fveq2 |
|
53 |
52
|
oveq1d |
|
54 |
53
|
adantl |
|
55 |
29 30 30
|
3jca |
|
56 |
35
|
leidd |
|
57 |
55 37 56
|
jca32 |
|
58 |
|
elfz2 |
|
59 |
57 58
|
sylibr |
|
60 |
14 59
|
ffvelrnd |
|
61 |
60 3
|
resubcld |
|
62 |
25 54 59 61
|
fvmptd |
|
63 |
45
|
simprd |
|
64 |
63
|
oveq1d |
|
65 |
2
|
recnd |
|
66 |
65 49
|
pncand |
|
67 |
62 64 66
|
3eqtrd |
|
68 |
51 67
|
jca |
|
69 |
|
elfzofz |
|
70 |
69 15
|
sylan2 |
|
71 |
14
|
adantr |
|
72 |
|
fzofzp1 |
|
73 |
72
|
adantl |
|
74 |
71 73
|
ffvelrnd |
|
75 |
3
|
adantr |
|
76 |
44
|
simprd |
|
77 |
76
|
r19.21bi |
|
78 |
70 74 75 77
|
ltsub1dd |
|
79 |
69
|
adantl |
|
80 |
69 17
|
sylan2 |
|
81 |
8
|
fvmpt2 |
|
82 |
79 80 81
|
syl2anc |
|
83 |
|
fveq2 |
|
84 |
83
|
oveq1d |
|
85 |
84
|
cbvmptv |
|
86 |
8 85
|
eqtri |
|
87 |
86
|
a1i |
|
88 |
|
fveq2 |
|
89 |
88
|
oveq1d |
|
90 |
89
|
adantl |
|
91 |
74 75
|
resubcld |
|
92 |
87 90 73 91
|
fvmptd |
|
93 |
78 82 92
|
3brtr4d |
|
94 |
93
|
ralrimiva |
|
95 |
24 68 94
|
jca32 |
|
96 |
5
|
fourierdlem2 |
|
97 |
6 96
|
syl |
|
98 |
95 97
|
mpbird |
|