Step |
Hyp |
Ref |
Expression |
1 |
|
nmf.x |
|
2 |
|
nmf.n |
|
3 |
|
nmtri.p |
|
4 |
|
ngpgrp |
|
5 |
4
|
3ad2ant1 |
|
6 |
|
simp3 |
|
7 |
|
eqid |
|
8 |
1 7
|
grpinvcl |
|
9 |
5 6 8
|
syl2anc |
|
10 |
|
eqid |
|
11 |
1 2 10
|
nmmtri |
|
12 |
9 11
|
syld3an3 |
|
13 |
|
simp2 |
|
14 |
1 3 10 7 5 13 6
|
grpsubinv |
|
15 |
14
|
fveq2d |
|
16 |
1 2 7
|
nminv |
|
17 |
16
|
3adant2 |
|
18 |
17
|
oveq2d |
|
19 |
12 15 18
|
3brtr3d |
|