Step |
Hyp |
Ref |
Expression |
1 |
|
grplsm0l.b |
|
2 |
|
grplsm0l.p |
|
3 |
|
grplsm0l.0 |
|
4 |
1 3
|
grpidcl |
|
5 |
4
|
snssd |
|
6 |
|
eqid |
|
7 |
1 6 2
|
lsmelvalx |
|
8 |
7
|
3expa |
|
9 |
8
|
an32s |
|
10 |
5 9
|
mpidan |
|
11 |
10
|
3adant3 |
|
12 |
|
simpl1 |
|
13 |
|
simp2 |
|
14 |
13
|
sselda |
|
15 |
1 6 3
|
grplid |
|
16 |
12 14 15
|
syl2anc |
|
17 |
16
|
eqeq2d |
|
18 |
|
equcom |
|
19 |
17 18
|
bitrdi |
|
20 |
19
|
rexbidva |
|
21 |
3
|
fvexi |
|
22 |
|
oveq1 |
|
23 |
22
|
eqeq2d |
|
24 |
23
|
rexbidv |
|
25 |
21 24
|
rexsn |
|
26 |
|
risset |
|
27 |
20 25 26
|
3bitr4g |
|
28 |
11 27
|
bitrd |
|
29 |
28
|
eqrdv |
|