Step |
Hyp |
Ref |
Expression |
1 |
|
frlmplusgvalb.f |
|
2 |
|
frlmplusgvalb.b |
|
3 |
|
frlmplusgvalb.i |
|
4 |
|
frlmplusgvalb.x |
|
5 |
|
frlmplusgvalb.z |
|
6 |
|
frlmplusgvalb.r |
|
7 |
|
frlmvscavalb.k |
|
8 |
|
frlmvscavalb.a |
|
9 |
|
frlmvscavalb.v |
|
10 |
|
frlmvscavalb.t |
|
11 |
|
frlmvplusgscavalb.y |
|
12 |
|
frlmvplusgscavalb.a |
|
13 |
|
frlmvplusgscavalb.p |
|
14 |
|
frlmvplusgscavalb.c |
|
15 |
1
|
frlmlmod |
|
16 |
6 3 15
|
syl2anc |
|
17 |
8 7
|
eleqtrdi |
|
18 |
1
|
frlmsca |
|
19 |
6 3 18
|
syl2anc |
|
20 |
19
|
fveq2d |
|
21 |
17 20
|
eleqtrd |
|
22 |
|
eqid |
|
23 |
|
eqid |
|
24 |
2 22 9 23
|
lmodvscl |
|
25 |
16 21 4 24
|
syl3anc |
|
26 |
14 7
|
eleqtrdi |
|
27 |
26 20
|
eleqtrd |
|
28 |
2 22 9 23
|
lmodvscl |
|
29 |
16 27 11 28
|
syl3anc |
|
30 |
1 2 3 25 5 6 29 12 13
|
frlmplusgvalb |
|
31 |
3
|
adantr |
|
32 |
8
|
adantr |
|
33 |
4
|
adantr |
|
34 |
|
simpr |
|
35 |
1 2 7 31 32 33 34 9 10
|
frlmvscaval |
|
36 |
14
|
adantr |
|
37 |
11
|
adantr |
|
38 |
1 2 7 31 36 37 34 9 10
|
frlmvscaval |
|
39 |
35 38
|
oveq12d |
|
40 |
39
|
eqeq2d |
|
41 |
40
|
ralbidva |
|
42 |
30 41
|
bitrd |
|