Step |
Hyp |
Ref |
Expression |
1 |
|
pwsexpg.y |
|
2 |
|
pwsexpg.b |
|
3 |
|
pwsexpg.m |
|
4 |
|
pwsexpg.t |
|
5 |
|
pwsexpg.s |
|
6 |
|
pwsexpg.g |
|
7 |
|
pwsexpg.r |
|
8 |
|
pwsexpg.i |
|
9 |
|
pwsexpg.n |
|
10 |
|
pwsexpg.x |
|
11 |
|
pwsexpg.a |
|
12 |
1 2 3 4 7 8 11
|
pwspjmhmmgpd |
|
13 |
3 2
|
mgpbas |
|
14 |
13 5 6
|
mhmmulg |
|
15 |
12 9 10 14
|
syl3anc |
|
16 |
1
|
pwsring |
|
17 |
7 8 16
|
syl2anc |
|
18 |
3
|
ringmgp |
|
19 |
17 18
|
syl |
|
20 |
13 5
|
mulgnn0cl |
|
21 |
19 9 10 20
|
syl3anc |
|
22 |
|
fveq1 |
|
23 |
|
eqid |
|
24 |
|
fvex |
|
25 |
22 23 24
|
fvmpt |
|
26 |
21 25
|
syl |
|
27 |
|
fveq1 |
|
28 |
|
fvex |
|
29 |
27 23 28
|
fvmpt |
|
30 |
10 29
|
syl |
|
31 |
30
|
oveq2d |
|
32 |
15 26 31
|
3eqtr3d |
|