Step |
Hyp |
Ref |
Expression |
1 |
|
nlmmul0or.v |
|
2 |
|
nlmmul0or.s |
|
3 |
|
nlmmul0or.z |
|
4 |
|
nlmmul0or.f |
|
5 |
|
nlmmul0or.k |
|
6 |
|
nlmmul0or.o |
|
7 |
4
|
nlmngp2 |
|
8 |
7
|
3ad2ant1 |
|
9 |
|
simp2 |
|
10 |
|
eqid |
|
11 |
5 10
|
nmcl |
|
12 |
8 9 11
|
syl2anc |
|
13 |
12
|
recnd |
|
14 |
|
nlmngp |
|
15 |
14
|
3ad2ant1 |
|
16 |
|
simp3 |
|
17 |
|
eqid |
|
18 |
1 17
|
nmcl |
|
19 |
15 16 18
|
syl2anc |
|
20 |
19
|
recnd |
|
21 |
13 20
|
mul0ord |
|
22 |
1 17 2 4 5 10
|
nmvs |
|
23 |
22
|
eqeq1d |
|
24 |
|
nlmlmod |
|
25 |
1 4 2 5
|
lmodvscl |
|
26 |
24 25
|
syl3an1 |
|
27 |
1 17 3
|
nmeq0 |
|
28 |
15 26 27
|
syl2anc |
|
29 |
23 28
|
bitr3d |
|
30 |
5 10 6
|
nmeq0 |
|
31 |
8 9 30
|
syl2anc |
|
32 |
1 17 3
|
nmeq0 |
|
33 |
15 16 32
|
syl2anc |
|
34 |
31 33
|
orbi12d |
|
35 |
21 29 34
|
3bitr3d |
|