Step |
Hyp |
Ref |
Expression |
1 |
|
nmdvr.x |
|
2 |
|
nmdvr.n |
|
3 |
|
nmdvr.u |
|
4 |
|
nmdvr.d |
|
5 |
|
simpll |
|
6 |
|
simprl |
|
7 |
|
nrgring |
|
8 |
7
|
ad2antrr |
|
9 |
|
simprr |
|
10 |
|
eqid |
|
11 |
3 10 1
|
ringinvcl |
|
12 |
8 9 11
|
syl2anc |
|
13 |
|
eqid |
|
14 |
1 2 13
|
nmmul |
|
15 |
5 6 12 14
|
syl3anc |
|
16 |
|
simplr |
|
17 |
2 3 10
|
nminvr |
|
18 |
5 16 9 17
|
syl3anc |
|
19 |
18
|
oveq2d |
|
20 |
15 19
|
eqtrd |
|
21 |
1 13 3 10 4
|
dvrval |
|
22 |
21
|
adantl |
|
23 |
22
|
fveq2d |
|
24 |
|
nrgngp |
|
25 |
24
|
ad2antrr |
|
26 |
1 2
|
nmcl |
|
27 |
25 6 26
|
syl2anc |
|
28 |
27
|
recnd |
|
29 |
1 3
|
unitss |
|
30 |
29 9
|
sselid |
|
31 |
1 2
|
nmcl |
|
32 |
25 30 31
|
syl2anc |
|
33 |
32
|
recnd |
|
34 |
2 3
|
unitnmn0 |
|
35 |
34
|
3expa |
|
36 |
35
|
adantrl |
|
37 |
28 33 36
|
divrecd |
|
38 |
20 23 37
|
3eqtr4d |
|