Step |
Hyp |
Ref |
Expression |
1 |
|
nrgtrg |
|
2 |
1
|
adantr |
|
3 |
|
simpr |
|
4 |
|
nrgring |
|
5 |
4
|
adantr |
|
6 |
|
eqid |
|
7 |
|
eqid |
|
8 |
6 7
|
unitgrp |
|
9 |
5 8
|
syl |
|
10 |
|
eqid |
|
11 |
10
|
trgtmd |
|
12 |
2 11
|
syl |
|
13 |
6 10
|
unitsubm |
|
14 |
5 13
|
syl |
|
15 |
7
|
submtmd |
|
16 |
12 14 15
|
syl2anc |
|
17 |
|
eqid |
|
18 |
|
eqid |
|
19 |
|
eqid |
|
20 |
17 6 18 19
|
nrginvrcn |
|
21 |
20
|
adantr |
|
22 |
10 19
|
mgptopn |
|
23 |
7 22
|
resstopn |
|
24 |
6 7 18
|
invrfval |
|
25 |
23 24
|
istgp |
|
26 |
9 16 21 25
|
syl3anbrc |
|
27 |
10 6
|
istdrg |
|
28 |
2 3 26 27
|
syl3anbrc |
|