Step |
Hyp |
Ref |
Expression |
1 |
|
qusgrp.h |
|
2 |
|
qus0.p |
|
3 |
|
nsgsubg |
|
4 |
|
subgrcl |
|
5 |
3 4
|
syl |
|
6 |
|
eqid |
|
7 |
6 2
|
grpidcl |
|
8 |
5 7
|
syl |
|
9 |
|
eqid |
|
10 |
|
eqid |
|
11 |
1 6 9 10
|
qusadd |
|
12 |
8 8 11
|
mpd3an23 |
|
13 |
6 9 2
|
grplid |
|
14 |
5 8 13
|
syl2anc |
|
15 |
14
|
eceq1d |
|
16 |
12 15
|
eqtrd |
|
17 |
1
|
qusgrp |
|
18 |
|
eqid |
|
19 |
1 6 18
|
quseccl |
|
20 |
8 19
|
mpdan |
|
21 |
|
eqid |
|
22 |
18 10 21
|
grpid |
|
23 |
17 20 22
|
syl2anc |
|
24 |
16 23
|
mpbid |
|
25 |
24
|
eqcomd |
|