Step |
Hyp |
Ref |
Expression |
1 |
|
toptopon2 |
|
2 |
|
fvex |
|
3 |
|
eleq2 |
|
4 |
|
eleq1 |
|
5 |
3 4
|
anbi12d |
|
6 |
|
simpl |
|
7 |
|
fntopon |
|
8 |
|
vuniex |
|
9 |
|
fnfvelrn |
|
10 |
7 8 9
|
mp2an |
|
11 |
10
|
jctr |
|
12 |
6 11
|
impbii |
|
13 |
5 12
|
bitrdi |
|
14 |
2 13
|
spcev |
|
15 |
1 14
|
sylbi |
|
16 |
|
funtopon |
|
17 |
|
elrnrexdm |
|
18 |
16 17
|
ax-mp |
|
19 |
|
rexex |
|
20 |
18 19
|
syl |
|
21 |
|
19.42v |
|
22 |
|
eqimss |
|
23 |
22
|
sseld |
|
24 |
23
|
impcom |
|
25 |
24
|
eximi |
|
26 |
21 25
|
sylbir |
|
27 |
20 26
|
sylan2 |
|
28 |
|
topontop |
|
29 |
28
|
exlimiv |
|
30 |
27 29
|
syl |
|
31 |
30
|
exlimiv |
|
32 |
15 31
|
impbii |
|
33 |
|
eluni |
|
34 |
32 33
|
bitr4i |
|
35 |
34
|
eqriv |
|