Step |
Hyp |
Ref |
Expression |
1 |
|
telgsumfzs.b |
|
2 |
|
telgsumfzs.g |
|
3 |
|
telgsumfzs.m |
|
4 |
|
telgsumfzs.n |
|
5 |
|
telgsumfzs.f |
|
6 |
|
oveq1 |
|
7 |
6
|
oveq2d |
|
8 |
7
|
raleqdv |
|
9 |
8
|
anbi2d |
|
10 |
|
oveq2 |
|
11 |
10
|
mpteq1d |
|
12 |
11
|
oveq2d |
|
13 |
6
|
csbeq1d |
|
14 |
13
|
oveq2d |
|
15 |
12 14
|
eqeq12d |
|
16 |
9 15
|
imbi12d |
|
17 |
|
oveq1 |
|
18 |
17
|
oveq2d |
|
19 |
18
|
raleqdv |
|
20 |
19
|
anbi2d |
|
21 |
|
oveq2 |
|
22 |
21
|
mpteq1d |
|
23 |
22
|
oveq2d |
|
24 |
17
|
csbeq1d |
|
25 |
24
|
oveq2d |
|
26 |
23 25
|
eqeq12d |
|
27 |
20 26
|
imbi12d |
|
28 |
|
oveq1 |
|
29 |
28
|
oveq2d |
|
30 |
29
|
raleqdv |
|
31 |
30
|
anbi2d |
|
32 |
|
oveq2 |
|
33 |
32
|
mpteq1d |
|
34 |
33
|
oveq2d |
|
35 |
28
|
csbeq1d |
|
36 |
35
|
oveq2d |
|
37 |
34 36
|
eqeq12d |
|
38 |
31 37
|
imbi12d |
|
39 |
|
oveq1 |
|
40 |
39
|
oveq2d |
|
41 |
40
|
raleqdv |
|
42 |
41
|
anbi2d |
|
43 |
|
oveq2 |
|
44 |
43
|
mpteq1d |
|
45 |
44
|
oveq2d |
|
46 |
39
|
csbeq1d |
|
47 |
46
|
oveq2d |
|
48 |
45 47
|
eqeq12d |
|
49 |
42 48
|
imbi12d |
|
50 |
|
eluzel2 |
|
51 |
4 50
|
syl |
|
52 |
51
|
adantr |
|
53 |
|
fzsn |
|
54 |
52 53
|
syl |
|
55 |
54
|
mpteq1d |
|
56 |
55
|
oveq2d |
|
57 |
|
ablgrp |
|
58 |
2 57
|
syl |
|
59 |
|
grpmnd |
|
60 |
58 59
|
syl |
|
61 |
60
|
adantr |
|
62 |
58
|
adantr |
|
63 |
|
uzid |
|
64 |
52 63
|
syl |
|
65 |
|
peano2uz |
|
66 |
64 65
|
syl |
|
67 |
|
eluzfz1 |
|
68 |
66 67
|
syl |
|
69 |
|
rspcsbela |
|
70 |
68 69
|
sylancom |
|
71 |
|
eluzfz2 |
|
72 |
66 71
|
syl |
|
73 |
|
rspcsbela |
|
74 |
72 73
|
sylancom |
|
75 |
1 3
|
grpsubcl |
|
76 |
62 70 74 75
|
syl3anc |
|
77 |
|
csbeq1 |
|
78 |
|
oveq1 |
|
79 |
78
|
csbeq1d |
|
80 |
77 79
|
oveq12d |
|
81 |
80
|
adantl |
|
82 |
1 61 52 76 81
|
gsumsnd |
|
83 |
56 82
|
eqtrd |
|
84 |
1 2 3
|
telgsumfzslem |
|
85 |
84
|
ex |
|
86 |
|
eluzelz |
|
87 |
86
|
peano2zd |
|
88 |
87
|
peano2zd |
|
89 |
|
peano2z |
|
90 |
89
|
zred |
|
91 |
86 90
|
syl |
|
92 |
91
|
lep1d |
|
93 |
|
eluz2 |
|
94 |
87 88 92 93
|
syl3anbrc |
|
95 |
|
fzss2 |
|
96 |
94 95
|
syl |
|
97 |
|
ssralv |
|
98 |
96 97
|
syl |
|
99 |
98
|
adantld |
|
100 |
85 99
|
a2and |
|
101 |
16 27 38 49 83 100
|
uzind4i |
|
102 |
101
|
expd |
|
103 |
4 102
|
mpcom |
|
104 |
5 103
|
mpd |
|