Step |
Hyp |
Ref |
Expression |
1 |
|
srgpcomp.s |
|
2 |
|
srgpcomp.m |
|
3 |
|
srgpcomp.g |
|
4 |
|
srgpcomp.e |
|
5 |
|
srgpcomp.r |
|
6 |
|
srgpcomp.a |
|
7 |
|
srgpcomp.b |
|
8 |
|
srgpcomp.k |
|
9 |
|
srgpcomp.c |
|
10 |
|
srgpcompp.n |
|
11 |
3 1
|
mgpbas |
|
12 |
3
|
srgmgp |
|
13 |
5 12
|
syl |
|
14 |
11 4 13 10 6
|
mulgnn0cld |
|
15 |
11 4 13 8 7
|
mulgnn0cld |
|
16 |
1 2
|
srgass |
|
17 |
5 14 15 6 16
|
syl13anc |
|
18 |
1 2 3 4 5 6 7 8 9
|
srgpcomp |
|
19 |
18
|
oveq2d |
|
20 |
1 2
|
srgass |
|
21 |
5 14 6 15 20
|
syl13anc |
|
22 |
19 21
|
eqtr4d |
|
23 |
3 2
|
mgpplusg |
|
24 |
11 4 23
|
mulgnn0p1 |
|
25 |
13 10 6 24
|
syl3anc |
|
26 |
25
|
eqcomd |
|
27 |
26
|
oveq1d |
|
28 |
17 22 27
|
3eqtrd |
|