Step |
Hyp |
Ref |
Expression |
1 |
|
qusghm.x |
|
2 |
|
qusghm.h |
|
3 |
|
qusghm.f |
|
4 |
|
eqid |
|
5 |
|
eqid |
|
6 |
|
eqid |
|
7 |
|
nsgsubg |
|
8 |
|
subgrcl |
|
9 |
7 8
|
syl |
|
10 |
2
|
qusgrp |
|
11 |
2 1 4
|
quseccl |
|
12 |
11 3
|
fmptd |
|
13 |
2 1 5 6
|
qusadd |
|
14 |
13
|
3expb |
|
15 |
|
eceq1 |
|
16 |
|
ovex |
|
17 |
|
ecexg |
|
18 |
16 17
|
ax-mp |
|
19 |
15 3 18
|
fvmpt3i |
|
20 |
19
|
ad2antrl |
|
21 |
|
eceq1 |
|
22 |
21 3 18
|
fvmpt3i |
|
23 |
22
|
ad2antll |
|
24 |
20 23
|
oveq12d |
|
25 |
1 5
|
grpcl |
|
26 |
25
|
3expb |
|
27 |
9 26
|
sylan |
|
28 |
|
eceq1 |
|
29 |
28 3 18
|
fvmpt3i |
|
30 |
27 29
|
syl |
|
31 |
14 24 30
|
3eqtr4rd |
|
32 |
1 4 5 6 9 10 12 31
|
isghmd |
|