Step |
Hyp |
Ref |
Expression |
1 |
|
hhss.1 |
|
2 |
|
eqid |
|
3 |
2
|
vafval |
|
4 |
1
|
fveq2i |
|
5 |
|
opex |
|
6 |
|
normf |
|
7 |
|
ax-hilex |
|
8 |
|
fex |
|
9 |
6 7 8
|
mp2an |
|
10 |
9
|
resex |
|
11 |
5 10
|
op1st |
|
12 |
4 11
|
eqtri |
|
13 |
12
|
fveq2i |
|
14 |
|
hilablo |
|
15 |
|
resexg |
|
16 |
14 15
|
ax-mp |
|
17 |
|
hvmulex |
|
18 |
17
|
resex |
|
19 |
16 18
|
op1st |
|
20 |
3 13 19
|
3eqtrri |
|