Step |
Hyp |
Ref |
Expression |
1 |
|
grpsubval.b |
|
2 |
|
grpsubval.p |
|
3 |
|
grpsubval.i |
|
4 |
|
grpsubval.m |
|
5 |
|
fveq2 |
|
6 |
5 1
|
eqtr4di |
|
7 |
|
fveq2 |
|
8 |
7 2
|
eqtr4di |
|
9 |
|
eqidd |
|
10 |
|
fveq2 |
|
11 |
10 3
|
eqtr4di |
|
12 |
11
|
fveq1d |
|
13 |
8 9 12
|
oveq123d |
|
14 |
6 6 13
|
mpoeq123dv |
|
15 |
|
df-sbg |
|
16 |
1
|
fvexi |
|
17 |
16 16
|
mpoex |
|
18 |
14 15 17
|
fvmpt |
|
19 |
4 18
|
eqtrid |
|
20 |
|
fvprc |
|
21 |
4 20
|
eqtrid |
|
22 |
|
fvprc |
|
23 |
1 22
|
eqtrid |
|
24 |
23
|
olcd |
|
25 |
|
0mpo0 |
|
26 |
24 25
|
syl |
|
27 |
21 26
|
eqtr4d |
|
28 |
19 27
|
pm2.61i |
|