Step |
Hyp |
Ref |
Expression |
1 |
|
gsumzinv.b |
|
2 |
|
gsumzinv.0 |
|
3 |
|
gsumzinv.z |
|
4 |
|
gsumzinv.i |
|
5 |
|
gsumzinv.g |
|
6 |
|
gsumzinv.a |
|
7 |
|
gsumzinv.f |
|
8 |
|
gsumzinv.c |
|
9 |
|
gsumzinv.n |
|
10 |
|
eqid |
|
11 |
|
grpmnd |
|
12 |
5 11
|
syl |
|
13 |
1 4
|
grpinvf |
|
14 |
5 13
|
syl |
|
15 |
|
fco |
|
16 |
14 7 15
|
syl2anc |
|
17 |
10 4
|
invoppggim |
|
18 |
|
gimghm |
|
19 |
|
ghmmhm |
|
20 |
5 17 18 19
|
4syl |
|
21 |
|
eqid |
|
22 |
3 21
|
cntzmhm2 |
|
23 |
20 8 22
|
syl2anc |
|
24 |
|
rnco2 |
|
25 |
24
|
fveq2i |
|
26 |
10 3
|
oppgcntz |
|
27 |
25 26
|
eqtri |
|
28 |
23 24 27
|
3sstr4g |
|
29 |
2
|
fvexi |
|
30 |
29
|
a1i |
|
31 |
1
|
fvexi |
|
32 |
31
|
a1i |
|
33 |
2 4
|
grpinvid |
|
34 |
5 33
|
syl |
|
35 |
30 7 14 6 32 9 34
|
fsuppco2 |
|
36 |
1 2 3 10 12 6 16 28 35
|
gsumzoppg |
|
37 |
10
|
oppgmnd |
|
38 |
12 37
|
syl |
|
39 |
1 3 12 38 6 20 7 8 2 9
|
gsumzmhm |
|
40 |
36 39
|
eqtr3d |
|