Step |
Hyp |
Ref |
Expression |
1 |
|
undif2 |
|
2 |
|
reldom |
|
3 |
2
|
brrelex2i |
|
4 |
2
|
brrelex2i |
|
5 |
|
unexg |
|
6 |
3 4 5
|
syl2an |
|
7 |
6
|
adantr |
|
8 |
|
brdomi |
|
9 |
|
brdomi |
|
10 |
|
exdistrv |
|
11 |
|
disjdif |
|
12 |
|
difss |
|
13 |
|
f1ssres |
|
14 |
12 13
|
mpan2 |
|
15 |
|
f1un |
|
16 |
14 15
|
sylanl2 |
|
17 |
11 16
|
mpanr1 |
|
18 |
|
vex |
|
19 |
|
vex |
|
20 |
19
|
resex |
|
21 |
18 20
|
unex |
|
22 |
|
f1dom3g |
|
23 |
21 22
|
mp3an1 |
|
24 |
23
|
expcom |
|
25 |
17 24
|
syl |
|
26 |
25
|
ex |
|
27 |
26
|
exlimivv |
|
28 |
10 27
|
sylbir |
|
29 |
8 9 28
|
syl2an |
|
30 |
29
|
imp |
|
31 |
7 30
|
mpd |
|
32 |
1 31
|
eqbrtrrid |
|