Step |
Hyp |
Ref |
Expression |
1 |
|
grpidinv.b |
|
2 |
|
grpidinv.p |
|
3 |
|
eqid |
|
4 |
1 3
|
grpidcl |
|
5 |
|
oveq1 |
|
6 |
5
|
eqeq1d |
|
7 |
|
oveq2 |
|
8 |
7
|
eqeq1d |
|
9 |
6 8
|
anbi12d |
|
10 |
|
eqeq2 |
|
11 |
|
eqeq2 |
|
12 |
10 11
|
anbi12d |
|
13 |
12
|
rexbidv |
|
14 |
9 13
|
anbi12d |
|
15 |
14
|
ralbidv |
|
16 |
15
|
adantl |
|
17 |
1 2 3
|
grpidinv2 |
|
18 |
17
|
ralrimiva |
|
19 |
4 16 18
|
rspcedvd |
|