Step |
Hyp |
Ref |
Expression |
1 |
|
fvssunirn |
|
2 |
1
|
sseli |
|
3 |
|
dmeq |
|
4 |
3
|
dmeqd |
|
5 |
4
|
fveq2d |
|
6 |
|
imaeq1 |
|
7 |
6
|
sseq1d |
|
8 |
7
|
rexbidv |
|
9 |
8
|
ralbidv |
|
10 |
5 9
|
rabeqbidv |
|
11 |
|
df-cfil |
|
12 |
|
fvex |
|
13 |
12
|
rabex |
|
14 |
10 11 13
|
fvmpt |
|
15 |
2 14
|
syl |
|
16 |
|
xmetdmdm |
|
17 |
16
|
fveq2d |
|
18 |
17
|
rabeqdv |
|
19 |
15 18
|
eqtr4d |
|