Step |
Hyp |
Ref |
Expression |
1 |
|
biimp |
|
2 |
|
iitop |
|
3 |
|
iiuni |
|
4 |
3
|
neii1 |
|
5 |
2 4
|
mpan |
|
6 |
5
|
adantl |
|
7 |
|
xpss1 |
|
8 |
6 7
|
syl |
|
9 |
|
simpl |
|
10 |
8 9
|
sstrd |
|
11 |
|
ssnei |
|
12 |
2 11
|
mpan |
|
13 |
12
|
adantl |
|
14 |
|
vex |
|
15 |
14
|
snss |
|
16 |
13 15
|
sylibr |
|
17 |
|
vsnid |
|
18 |
|
opelxpi |
|
19 |
16 17 18
|
sylancl |
|
20 |
|
ssel |
|
21 |
19 20
|
syl5com |
|
22 |
10 21
|
embantd |
|
23 |
1 22
|
syl5 |
|
24 |
23
|
rexlimdva |
|
25 |
24
|
ralimdv |
|
26 |
25
|
com12 |
|
27 |
|
dfss3 |
|
28 |
|
eleq1 |
|
29 |
28
|
ralxp |
|
30 |
|
vex |
|
31 |
|
opeq2 |
|
32 |
31
|
eleq1d |
|
33 |
30 32
|
ralsn |
|
34 |
33
|
ralbii |
|
35 |
27 29 34
|
3bitri |
|
36 |
26 35
|
syl6ibr |
|