Step |
Hyp |
Ref |
Expression |
1 |
|
fpwwe.1 |
|
2 |
|
fpwwe.2 |
|
3 |
|
fpwwe.3 |
|
4 |
|
fpwwe.4 |
|
5 |
|
df-ov |
|
6 |
|
fo1st |
|
7 |
|
fofn |
|
8 |
6 7
|
ax-mp |
|
9 |
|
opex |
|
10 |
|
fvco2 |
|
11 |
8 9 10
|
mp2an |
|
12 |
5 11
|
eqtri |
|
13 |
1
|
bropaex12 |
|
14 |
|
op1stg |
|
15 |
13 14
|
syl |
|
16 |
15
|
fveq2d |
|
17 |
12 16
|
syl5eq |
|
18 |
17
|
eleq1d |
|
19 |
18
|
pm5.32i |
|
20 |
|
vex |
|
21 |
20
|
cnvex |
|
22 |
21
|
imaex |
|
23 |
|
vex |
|
24 |
20
|
inex1 |
|
25 |
23 24
|
algrflem |
|
26 |
|
fveq2 |
|
27 |
25 26
|
syl5eq |
|
28 |
27
|
eqeq1d |
|
29 |
22 28
|
sbcie |
|
30 |
29
|
ralbii |
|
31 |
30
|
anbi2i |
|
32 |
31
|
anbi2i |
|
33 |
32
|
opabbii |
|
34 |
1 33
|
eqtr4i |
|
35 |
|
vex |
|
36 |
35 20
|
algrflem |
|
37 |
|
simp1 |
|
38 |
|
velpw |
|
39 |
37 38
|
sylibr |
|
40 |
|
19.8a |
|
41 |
40
|
3ad2ant3 |
|
42 |
|
ween |
|
43 |
41 42
|
sylibr |
|
44 |
39 43
|
elind |
|
45 |
44 3
|
sylan2 |
|
46 |
36 45
|
eqeltrid |
|
47 |
34 2 46 4
|
fpwwe2 |
|
48 |
19 47
|
bitr3id |
|