Step |
Hyp |
Ref |
Expression |
1 |
|
lcfrlem1.v |
|
2 |
|
lcfrlem1.s |
|
3 |
|
lcfrlem1.q |
|
4 |
|
lcfrlem1.z |
|
5 |
|
lcfrlem1.i |
|
6 |
|
lcfrlem1.f |
|
7 |
|
lcfrlem1.d |
|
8 |
|
lcfrlem1.t |
|
9 |
|
lcfrlem1.m |
|
10 |
|
lcfrlem1.u |
|
11 |
|
lcfrlem1.e |
|
12 |
|
lcfrlem1.g |
|
13 |
|
lcfrlem1.x |
|
14 |
|
lcfrlem1.n |
|
15 |
|
lcfrlem1.h |
|
16 |
|
lcfrlem2.l |
|
17 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
|
lcfrlem1 |
|
18 |
|
lveclmod |
|
19 |
10 18
|
syl |
|
20 |
|
eqid |
|
21 |
2
|
lmodring |
|
22 |
19 21
|
syl |
|
23 |
2
|
lvecdrng |
|
24 |
10 23
|
syl |
|
25 |
2 20 1 6
|
lflcl |
|
26 |
10 12 13 25
|
syl3anc |
|
27 |
20 4 5
|
drnginvrcl |
|
28 |
24 26 14 27
|
syl3anc |
|
29 |
2 20 1 6
|
lflcl |
|
30 |
10 11 13 29
|
syl3anc |
|
31 |
20 3
|
ringcl |
|
32 |
22 28 30 31
|
syl3anc |
|
33 |
6 2 20 7 8 19 32 12
|
ldualvscl |
|
34 |
6 7 9 19 11 33
|
ldualvsubcl |
|
35 |
15 34
|
eqeltrid |
|
36 |
1 2 4 6 16 10 35 13
|
ellkr2 |
|
37 |
17 36
|
mpbird |
|