Step |
Hyp |
Ref |
Expression |
1 |
|
grpcominv.b |
|
2 |
|
grpcominv.p |
|
3 |
|
grpcominv.n |
|
4 |
|
grpcominv.g |
|
5 |
|
grpcominv.x |
|
6 |
|
grpcominv.y |
|
7 |
|
grpcominv.1 |
|
8 |
1 3 4 6
|
grpinvcld |
|
9 |
1 2 4 8 6 5
|
grpassd |
|
10 |
|
eqid |
|
11 |
1 2 10 3 4 6
|
grplinvd |
|
12 |
11
|
oveq1d |
|
13 |
1 2 10 4 5
|
grplidd |
|
14 |
12 13
|
eqtr2d |
|
15 |
7
|
oveq2d |
|
16 |
9 14 15
|
3eqtr4rd |
|
17 |
1 2 4 8 5 6
|
grpassd |
|
18 |
1 2 3 4 5 6
|
grpasscan2d |
|
19 |
16 17 18
|
3eqtr4rd |
|
20 |
1 2 4 5 8
|
grpcld |
|
21 |
1 2 4 8 5
|
grpcld |
|
22 |
1 2
|
grprcan |
|
23 |
4 20 21 6 22
|
syl13anc |
|
24 |
19 23
|
mpbid |
|