Step |
Hyp |
Ref |
Expression |
1 |
|
eqg0subg.0 |
|
2 |
|
eqg0subg.s |
|
3 |
|
eqg0subg.b |
|
4 |
|
eqg0subg.r |
|
5 |
1
|
0subg |
|
6 |
3
|
subgss |
|
7 |
5 6
|
syl |
|
8 |
2 7
|
eqsstrid |
|
9 |
|
eqid |
|
10 |
|
eqid |
|
11 |
3 9 10 4
|
eqgfval |
|
12 |
8 11
|
mpdan |
|
13 |
|
opabresid |
|
14 |
|
simpl |
|
15 |
|
eleq1w |
|
16 |
15
|
equcoms |
|
17 |
16
|
biimpac |
|
18 |
|
simpr |
|
19 |
14 17 18
|
jca31 |
|
20 |
|
simpl |
|
21 |
20
|
anim1i |
|
22 |
21
|
a1i |
|
23 |
19 22
|
impbid2 |
|
24 |
|
simpl |
|
25 |
|
simpr |
|
26 |
25
|
adantl |
|
27 |
20
|
adantl |
|
28 |
3 9 24 26 27
|
grpinv11 |
|
29 |
3 9
|
grpinvcl |
|
30 |
29
|
adantrr |
|
31 |
3 10 1 9
|
grpinvid2 |
|
32 |
24 26 30 31
|
syl3anc |
|
33 |
28 32
|
bitr3d |
|
34 |
33
|
pm5.32da |
|
35 |
|
vex |
|
36 |
|
vex |
|
37 |
35 36
|
prss |
|
38 |
37
|
a1i |
|
39 |
2
|
eleq2i |
|
40 |
|
ovex |
|
41 |
40
|
elsn |
|
42 |
39 41
|
bitr2i |
|
43 |
42
|
a1i |
|
44 |
38 43
|
anbi12d |
|
45 |
23 34 44
|
3bitrd |
|
46 |
45
|
opabbidv |
|
47 |
13 46
|
eqtr2id |
|
48 |
12 47
|
eqtrd |
|