Step |
Hyp |
Ref |
Expression |
1 |
|
aomclem1.b |
|
2 |
|
aomclem1.on |
|
3 |
|
aomclem1.su |
|
4 |
|
aomclem1.we |
|
5 |
|
fvex |
|
6 |
|
vex |
|
7 |
6
|
dmex |
|
8 |
7
|
uniex |
|
9 |
8
|
sucid |
|
10 |
9 3
|
eleqtrrid |
|
11 |
|
fveq2 |
|
12 |
|
fveq2 |
|
13 |
11 12
|
weeq12d |
|
14 |
13
|
rspcva |
|
15 |
10 4 14
|
syl2anc |
|
16 |
1
|
wepwso |
|
17 |
5 15 16
|
sylancr |
|
18 |
3
|
fveq2d |
|
19 |
|
onuni |
|
20 |
|
r1suc |
|
21 |
2 19 20
|
3syl |
|
22 |
18 21
|
eqtrd |
|
23 |
|
soeq2 |
|
24 |
22 23
|
syl |
|
25 |
17 24
|
mpbird |
|