Step |
Hyp |
Ref |
Expression |
1 |
|
telgsums.b |
|
2 |
|
telgsums.g |
|
3 |
|
telgsums.m |
|
4 |
|
telgsums.0 |
|
5 |
|
telgsums.f |
|
6 |
|
telgsums.s |
|
7 |
|
telgsums.u |
|
8 |
|
ablcmn |
|
9 |
2 8
|
syl |
|
10 |
|
ablgrp |
|
11 |
2 10
|
syl |
|
12 |
11
|
adantr |
|
13 |
|
simpr |
|
14 |
5
|
adantr |
|
15 |
|
rspcsbela |
|
16 |
13 14 15
|
syl2anc |
|
17 |
|
peano2nn0 |
|
18 |
|
rspcsbela |
|
19 |
17 5 18
|
syl2anr |
|
20 |
1 3
|
grpsubcl |
|
21 |
12 16 19 20
|
syl3anc |
|
22 |
21
|
ralrimiva |
|
23 |
|
rspsbca |
|
24 |
|
sbcimg |
|
25 |
|
sbcbr2g |
|
26 |
|
csbvarg |
|
27 |
26
|
breq2d |
|
28 |
25 27
|
bitrd |
|
29 |
|
sbceq1g |
|
30 |
28 29
|
imbi12d |
|
31 |
24 30
|
bitrd |
|
32 |
31
|
elv |
|
33 |
23 32
|
sylib |
|
34 |
33
|
expcom |
|
35 |
7 34
|
syl |
|
36 |
35
|
imp31 |
|
37 |
6
|
nn0red |
|
38 |
37
|
adantr |
|
39 |
38
|
adantr |
|
40 |
|
nn0re |
|
41 |
40
|
ad2antlr |
|
42 |
17
|
ad2antlr |
|
43 |
42
|
nn0red |
|
44 |
|
simpr |
|
45 |
41
|
ltp1d |
|
46 |
39 41 43 44 45
|
lttrd |
|
47 |
46
|
ex |
|
48 |
|
rspsbca |
|
49 |
|
ovex |
|
50 |
|
sbcimg |
|
51 |
|
sbcbr2g |
|
52 |
|
csbvarg |
|
53 |
52
|
breq2d |
|
54 |
51 53
|
bitrd |
|
55 |
|
sbceq1g |
|
56 |
54 55
|
imbi12d |
|
57 |
50 56
|
bitrd |
|
58 |
49 57
|
ax-mp |
|
59 |
48 58
|
sylib |
|
60 |
17 7 59
|
syl2anr |
|
61 |
47 60
|
syld |
|
62 |
61
|
imp |
|
63 |
36 62
|
oveq12d |
|
64 |
12
|
adantr |
|
65 |
1 4
|
grpidcl |
|
66 |
1 4 3
|
grpsubid |
|
67 |
64 65 66
|
syl2anc2 |
|
68 |
63 67
|
eqtrd |
|
69 |
68
|
ex |
|
70 |
69
|
ralrimiva |
|
71 |
1 4 9 22 6 70
|
gsummptnn0fz |
|
72 |
|
fzssuz |
|
73 |
72
|
a1i |
|
74 |
|
nn0uz |
|
75 |
73 74
|
sseqtrrdi |
|
76 |
|
ssralv |
|
77 |
75 5 76
|
sylc |
|
78 |
1 2 3 6 77
|
telgsumfz0s |
|
79 |
|
peano2nn0 |
|
80 |
6 79
|
syl |
|
81 |
37
|
ltp1d |
|
82 |
|
rspsbca |
|
83 |
|
ovex |
|
84 |
|
sbcimg |
|
85 |
|
sbcbr2g |
|
86 |
|
csbvarg |
|
87 |
86
|
breq2d |
|
88 |
85 87
|
bitrd |
|
89 |
|
sbceq1g |
|
90 |
88 89
|
imbi12d |
|
91 |
84 90
|
bitrd |
|
92 |
83 91
|
ax-mp |
|
93 |
82 92
|
sylib |
|
94 |
93
|
ex |
|
95 |
80 7 81 94
|
syl3c |
|
96 |
95
|
oveq2d |
|
97 |
|
0nn0 |
|
98 |
97
|
a1i |
|
99 |
|
rspcsbela |
|
100 |
98 5 99
|
syl2anc |
|
101 |
1 4 3
|
grpsubid1 |
|
102 |
11 100 101
|
syl2anc |
|
103 |
96 102
|
eqtrd |
|
104 |
71 78 103
|
3eqtrd |
|