Step |
Hyp |
Ref |
Expression |
1 |
|
asclmulg.a |
|
2 |
|
asclmulg.f |
|
3 |
|
asclmulg.k |
|
4 |
|
asclmulg.m |
|
5 |
|
asclmulg.t |
|
6 |
|
assalmod |
|
7 |
6
|
3ad2ant1 |
|
8 |
|
simp3 |
|
9 |
|
simp2 |
|
10 |
|
assaring |
|
11 |
|
eqid |
|
12 |
|
eqid |
|
13 |
11 12
|
ringidcl |
|
14 |
10 13
|
syl |
|
15 |
14
|
3ad2ant1 |
|
16 |
|
eqid |
|
17 |
11 2 16 3 4 5
|
lmodvsmmulgdi |
|
18 |
7 8 9 15 17
|
syl13anc |
|
19 |
1 2 3 16 12
|
asclval |
|
20 |
8 19
|
syl |
|
21 |
20
|
oveq2d |
|
22 |
2
|
assasca |
|
23 |
22
|
3ad2ant1 |
|
24 |
23
|
crnggrpd |
|
25 |
9
|
nn0zd |
|
26 |
3 5 24 25 8
|
mulgcld |
|
27 |
1 2 3 16 12
|
asclval |
|
28 |
26 27
|
syl |
|
29 |
18 21 28
|
3eqtr4rd |
|