Step |
Hyp |
Ref |
Expression |
1 |
|
prdsgrpd.y |
|
2 |
|
prdsgrpd.i |
|
3 |
|
prdsgrpd.s |
|
4 |
|
prdsgrpd.r |
|
5 |
|
prdsinvgd.b |
|
6 |
|
prdsinvgd.n |
|
7 |
|
prdsinvgd.x |
|
8 |
|
eqid |
|
9 |
3
|
elexd |
|
10 |
2
|
elexd |
|
11 |
|
eqid |
|
12 |
|
eqid |
|
13 |
1 5 8 9 10 4 7 11 12
|
prdsinvlem |
|
14 |
13
|
simprd |
|
15 |
|
grpmnd |
|
16 |
15
|
ssriv |
|
17 |
|
fss |
|
18 |
4 16 17
|
sylancl |
|
19 |
1 2 3 18
|
prds0g |
|
20 |
14 19
|
eqtrd |
|
21 |
1 2 3 4
|
prdsgrpd |
|
22 |
13
|
simpld |
|
23 |
|
eqid |
|
24 |
5 8 23 6
|
grpinvid2 |
|
25 |
21 7 22 24
|
syl3anc |
|
26 |
20 25
|
mpbird |
|