Step |
Hyp |
Ref |
Expression |
1 |
|
subgacs.b |
|
2 |
1
|
subgss |
|
3 |
|
velpw |
|
4 |
2 3
|
sylibr |
|
5 |
|
eleq2w |
|
6 |
5
|
raleqbi1dv |
|
7 |
6
|
ralbidv |
|
8 |
7
|
elrab3 |
|
9 |
4 8
|
syl |
|
10 |
9
|
bicomd |
|
11 |
10
|
pm5.32i |
|
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
1 12 13
|
isnsg3 |
|
15 |
|
elin |
|
16 |
11 14 15
|
3bitr4i |
|
17 |
16
|
eqriv |
|
18 |
1
|
fvexi |
|
19 |
|
mreacs |
|
20 |
18 19
|
mp1i |
|
21 |
1
|
subgacs |
|
22 |
|
simpl |
|
23 |
1 12
|
grpcl |
|
24 |
23
|
3expb |
|
25 |
|
simprl |
|
26 |
1 13
|
grpsubcl |
|
27 |
22 24 25 26
|
syl3anc |
|
28 |
27
|
ralrimivva |
|
29 |
|
acsfn1c |
|
30 |
18 28 29
|
sylancr |
|
31 |
|
mreincl |
|
32 |
20 21 30 31
|
syl3anc |
|
33 |
17 32
|
eqeltrid |
|