Step |
Hyp |
Ref |
Expression |
1 |
|
elex |
|
2 |
|
nfcv |
|
3 |
|
nfcsb1v |
|
4 |
|
csbeq1a |
|
5 |
2 3 4
|
cbvixp |
|
6 |
5
|
eleq2i |
|
7 |
|
elixp2 |
|
8 |
|
3anass |
|
9 |
6 7 8
|
3bitri |
|
10 |
|
eqid |
|
11 |
10
|
fnmpt |
|
12 |
10
|
fvmpt2 |
|
13 |
|
simpr |
|
14 |
12 13
|
eqeltrd |
|
15 |
14
|
ralimiaa |
|
16 |
11 15
|
jca |
|
17 |
|
dffn2 |
|
18 |
10
|
fmpt |
|
19 |
10
|
fvmpt2 |
|
20 |
19
|
eleq1d |
|
21 |
20
|
biimpd |
|
22 |
21
|
ralimiaa |
|
23 |
|
ralim |
|
24 |
22 23
|
syl |
|
25 |
18 24
|
sylbir |
|
26 |
17 25
|
sylbi |
|
27 |
26
|
imp |
|
28 |
16 27
|
impbii |
|
29 |
|
nfv |
|
30 |
|
nffvmpt1 |
|
31 |
30 3
|
nfel |
|
32 |
|
fveq2 |
|
33 |
32 4
|
eleq12d |
|
34 |
29 31 33
|
cbvralw |
|
35 |
34
|
anbi2i |
|
36 |
28 35
|
bitri |
|
37 |
|
mptexg |
|
38 |
37
|
biantrurd |
|
39 |
36 38
|
bitr2id |
|
40 |
9 39
|
bitrid |
|
41 |
1 40
|
syl |
|