Step |
Hyp |
Ref |
Expression |
1 |
|
breq1 |
|
2 |
1
|
anbi2d |
|
3 |
|
eleq1 |
|
4 |
2 3
|
imbi12d |
|
5 |
|
breq1 |
|
6 |
5
|
anbi2d |
|
7 |
|
eleq1 |
|
8 |
6 7
|
imbi12d |
|
9 |
|
simplrl |
|
10 |
|
onelss |
|
11 |
|
ssdomg |
|
12 |
10 11
|
syld |
|
13 |
12
|
imp |
|
14 |
13
|
adantlr |
|
15 |
|
simplrr |
|
16 |
|
domsdomtr |
|
17 |
14 15 16
|
syl2anc |
|
18 |
|
pm2.27 |
|
19 |
9 17 18
|
syl2anc |
|
20 |
19
|
ralimdva |
|
21 |
|
dfss3 |
|
22 |
|
tskssel |
|
23 |
22
|
3exp |
|
24 |
21 23
|
syl5bir |
|
25 |
24
|
com23 |
|
26 |
25
|
imp |
|
27 |
26
|
adantl |
|
28 |
20 27
|
syld |
|
29 |
28
|
ex |
|
30 |
29
|
com23 |
|
31 |
4 8 30
|
tfis3 |
|
32 |
31
|
3impib |
|
33 |
32
|
3com12 |
|