Step |
Hyp |
Ref |
Expression |
1 |
|
deg1pw.d |
|
2 |
|
deg1pw.p |
|
3 |
|
deg1pw.x |
|
4 |
|
deg1pw.n |
|
5 |
|
deg1pw.e |
|
6 |
2
|
ply1sca |
|
7 |
6
|
adantr |
|
8 |
7
|
fveq2d |
|
9 |
8
|
oveq1d |
|
10 |
|
nzrring |
|
11 |
10
|
adantr |
|
12 |
2
|
ply1lmod |
|
13 |
11 12
|
syl |
|
14 |
|
eqid |
|
15 |
4 14
|
mgpbas |
|
16 |
2
|
ply1ring |
|
17 |
4
|
ringmgp |
|
18 |
11 16 17
|
3syl |
|
19 |
|
simpr |
|
20 |
3 2 14
|
vr1cl |
|
21 |
11 20
|
syl |
|
22 |
15 5 18 19 21
|
mulgnn0cld |
|
23 |
|
eqid |
|
24 |
|
eqid |
|
25 |
|
eqid |
|
26 |
14 23 24 25
|
lmodvs1 |
|
27 |
13 22 26
|
syl2anc |
|
28 |
9 27
|
eqtrd |
|
29 |
28
|
fveq2d |
|
30 |
|
eqid |
|
31 |
|
eqid |
|
32 |
30 31
|
ringidcl |
|
33 |
11 32
|
syl |
|
34 |
|
eqid |
|
35 |
31 34
|
nzrnz |
|
36 |
35
|
adantr |
|
37 |
1 30 2 3 24 4 5 34
|
deg1tm |
|
38 |
11 33 36 19 37
|
syl121anc |
|
39 |
29 38
|
eqtr3d |
|