Step |
Hyp |
Ref |
Expression |
1 |
|
fsetsnf.a |
|
2 |
|
fsetsnf.f |
|
3 |
1 2
|
fsetsnf |
|
4 |
2
|
a1i |
|
5 |
|
opeq2 |
|
6 |
5
|
sneqd |
|
7 |
6
|
adantl |
|
8 |
|
simpl |
|
9 |
|
snex |
|
10 |
9
|
a1i |
|
11 |
4 7 8 10
|
fvmptd |
|
12 |
|
opeq2 |
|
13 |
12
|
sneqd |
|
14 |
13
|
adantl |
|
15 |
|
simpr |
|
16 |
|
snex |
|
17 |
16
|
a1i |
|
18 |
4 14 15 17
|
fvmptd |
|
19 |
11 18
|
eqeq12d |
|
20 |
19
|
adantl |
|
21 |
|
opex |
|
22 |
21
|
sneqr |
|
23 |
|
opthg |
|
24 |
23
|
adantrr |
|
25 |
|
simpr |
|
26 |
24 25
|
syl6bi |
|
27 |
22 26
|
syl5 |
|
28 |
20 27
|
sylbid |
|
29 |
28
|
ralrimivva |
|
30 |
|
dff13 |
|
31 |
3 29 30
|
sylanbrc |
|