Step |
Hyp |
Ref |
Expression |
1 |
|
chfacfisf.a |
|
2 |
|
chfacfisf.b |
|
3 |
|
chfacfisf.p |
|
4 |
|
chfacfisf.y |
|
5 |
|
chfacfisf.r |
|
6 |
|
chfacfisf.s |
|
7 |
|
chfacfisf.0 |
|
8 |
|
chfacfisf.t |
|
9 |
|
chfacfisf.g |
|
10 |
|
chfacfscmulcl.x |
|
11 |
|
chfacfscmulcl.m |
|
12 |
|
chfacfscmulcl.e |
|
13 |
|
crngring |
|
14 |
3 4
|
pmatlmod |
|
15 |
13 14
|
sylan2 |
|
16 |
15
|
3adant3 |
|
17 |
16
|
3ad2ant1 |
|
18 |
|
eqid |
|
19 |
|
eqid |
|
20 |
18 19
|
mgpbas |
|
21 |
3
|
ply1ring |
|
22 |
13 21
|
syl |
|
23 |
22
|
3ad2ant2 |
|
24 |
18
|
ringmgp |
|
25 |
23 24
|
syl |
|
26 |
25
|
3ad2ant1 |
|
27 |
|
simp3 |
|
28 |
13
|
3ad2ant2 |
|
29 |
10 3 19
|
vr1cl |
|
30 |
28 29
|
syl |
|
31 |
30
|
3ad2ant1 |
|
32 |
20 12 26 27 31
|
mulgnn0cld |
|
33 |
3
|
ply1crng |
|
34 |
33
|
anim2i |
|
35 |
34
|
3adant3 |
|
36 |
4
|
matsca2 |
|
37 |
35 36
|
syl |
|
38 |
37
|
eqcomd |
|
39 |
38
|
fveq2d |
|
40 |
39
|
3ad2ant1 |
|
41 |
32 40
|
eleqtrrd |
|
42 |
1 2 3 4 5 6 7 8 9
|
chfacfisf |
|
43 |
13 42
|
syl3anl2 |
|
44 |
43
|
3adant3 |
|
45 |
44 27
|
ffvelcdmd |
|
46 |
|
eqid |
|
47 |
|
eqid |
|
48 |
|
eqid |
|
49 |
46 47 11 48
|
lmodvscl |
|
50 |
17 41 45 49
|
syl3anc |
|