Step |
Hyp |
Ref |
Expression |
1 |
|
resmgmhm2.u |
|
2 |
|
mgmhmrcl |
|
3 |
2
|
simpld |
|
4 |
|
submgmrcl |
|
5 |
3 4
|
anim12i |
|
6 |
|
eqid |
|
7 |
|
eqid |
|
8 |
6 7
|
mgmhmf |
|
9 |
1
|
submgmbas |
|
10 |
|
eqid |
|
11 |
10
|
submgmss |
|
12 |
9 11
|
eqsstrrd |
|
13 |
|
fss |
|
14 |
8 12 13
|
syl2an |
|
15 |
|
eqid |
|
16 |
|
eqid |
|
17 |
6 15 16
|
mgmhmlin |
|
18 |
17
|
3expb |
|
19 |
18
|
adantlr |
|
20 |
|
eqid |
|
21 |
1 20
|
ressplusg |
|
22 |
21
|
ad2antlr |
|
23 |
22
|
oveqd |
|
24 |
19 23
|
eqtr4d |
|
25 |
24
|
ralrimivva |
|
26 |
14 25
|
jca |
|
27 |
6 10 15 20
|
ismgmhm |
|
28 |
5 26 27
|
sylanbrc |
|