Step |
Hyp |
Ref |
Expression |
1 |
|
nmtri2.x |
|
2 |
|
nmtri2.n |
|
3 |
|
nmtri2.m |
|
4 |
|
ngpgrp |
|
5 |
|
eqid |
|
6 |
1 5 3
|
grpnpncan |
|
7 |
6
|
eqcomd |
|
8 |
4 7
|
sylan |
|
9 |
8
|
fveq2d |
|
10 |
|
simpl |
|
11 |
4
|
adantr |
|
12 |
|
simpr1 |
|
13 |
|
simpr2 |
|
14 |
1 3
|
grpsubcl |
|
15 |
11 12 13 14
|
syl3anc |
|
16 |
|
simpr3 |
|
17 |
1 3
|
grpsubcl |
|
18 |
11 13 16 17
|
syl3anc |
|
19 |
1 2 5
|
nmtri |
|
20 |
10 15 18 19
|
syl3anc |
|
21 |
9 20
|
eqbrtrd |
|