Step |
Hyp |
Ref |
Expression |
1 |
|
grpidssd.m |
|
2 |
|
grpidssd.s |
|
3 |
|
grpidssd.b |
|
4 |
|
grpidssd.c |
|
5 |
|
grpidssd.o |
|
6 |
|
eqid |
|
7 |
3 6
|
grpidcl |
|
8 |
2 7
|
syl |
|
9 |
|
oveq1 |
|
10 |
|
oveq1 |
|
11 |
9 10
|
eqeq12d |
|
12 |
|
oveq2 |
|
13 |
|
oveq2 |
|
14 |
12 13
|
eqeq12d |
|
15 |
11 14
|
rspc2va |
|
16 |
8 8 5 15
|
syl21anc |
|
17 |
|
eqid |
|
18 |
3 17 6
|
grplid |
|
19 |
2 7 18
|
syl2anc2 |
|
20 |
16 19
|
eqtrd |
|
21 |
4 8
|
sseldd |
|
22 |
|
eqid |
|
23 |
|
eqid |
|
24 |
|
eqid |
|
25 |
22 23 24
|
grpidlcan |
|
26 |
1 21 21 25
|
syl3anc |
|
27 |
20 26
|
mpbid |
|
28 |
27
|
eqcomd |
|