Step |
Hyp |
Ref |
Expression |
1 |
|
cfsetsnfsetfv.f |
|
2 |
|
cfsetsnfsetfv.g |
|
3 |
|
cfsetsnfsetfv.h |
|
4 |
1 2 3
|
cfsetsnfsetf |
|
5 |
1 2 3
|
cfsetsnfsetfv |
|
6 |
5
|
ad2ant2r |
|
7 |
1 2 3
|
cfsetsnfsetfv |
|
8 |
7
|
ad2ant2rl |
|
9 |
6 8
|
eqeq12d |
|
10 |
|
fvexd |
|
11 |
10
|
ralrimiva |
|
12 |
|
mpteqb |
|
13 |
11 12
|
syl |
|
14 |
|
simplr |
|
15 |
|
idd |
|
16 |
14 15
|
rspcimdv |
|
17 |
|
vex |
|
18 |
|
feq1 |
|
19 |
17 18 2
|
elab2 |
|
20 |
|
vex |
|
21 |
|
feq1 |
|
22 |
20 21 2
|
elab2 |
|
23 |
19 22
|
anbi12i |
|
24 |
|
simp3 |
|
25 |
|
simp1r |
|
26 |
|
fveq2 |
|
27 |
|
fveq2 |
|
28 |
26 27
|
eqeq12d |
|
29 |
28
|
ralsng |
|
30 |
25 29
|
syl |
|
31 |
24 30
|
mpbird |
|
32 |
|
ffn |
|
33 |
|
ffn |
|
34 |
32 33
|
anim12i |
|
35 |
34
|
3ad2ant2 |
|
36 |
|
eqfnfv |
|
37 |
35 36
|
syl |
|
38 |
31 37
|
mpbird |
|
39 |
38
|
3exp |
|
40 |
23 39
|
syl5bi |
|
41 |
40
|
imp |
|
42 |
16 41
|
syld |
|
43 |
13 42
|
sylbid |
|
44 |
9 43
|
sylbid |
|
45 |
44
|
ralrimivva |
|
46 |
|
dff13 |
|
47 |
4 45 46
|
sylanbrc |
|