Step |
Hyp |
Ref |
Expression |
1 |
|
carsgval.1 |
|
2 |
|
carsgval.2 |
|
3 |
|
df-carsg |
|
4 |
|
simpr |
|
5 |
4
|
dmeqd |
|
6 |
2
|
fdmd |
|
7 |
6
|
adantr |
|
8 |
5 7
|
eqtrd |
|
9 |
8
|
unieqd |
|
10 |
|
unipw |
|
11 |
9 10
|
eqtrdi |
|
12 |
11
|
pweqd |
|
13 |
|
fveq1 |
|
14 |
|
fveq1 |
|
15 |
13 14
|
oveq12d |
|
16 |
|
fveq1 |
|
17 |
15 16
|
eqeq12d |
|
18 |
17
|
adantl |
|
19 |
12 18
|
raleqbidv |
|
20 |
12 19
|
rabeqbidv |
|
21 |
1
|
pwexd |
|
22 |
2 21
|
fexd |
|
23 |
|
pwexg |
|
24 |
|
rabexg |
|
25 |
1 23 24
|
3syl |
|
26 |
3 20 22 25
|
fvmptd2 |
|