Step |
Hyp |
Ref |
Expression |
1 |
|
eqeq1 |
|
2 |
1
|
rexbidv |
|
3 |
2
|
cbvrabv |
|
4 |
|
eqid |
|
5 |
4
|
clwwlknwrd |
|
6 |
5
|
ad2antrl |
|
7 |
|
simprr |
|
8 |
6 7
|
jca |
|
9 |
|
simprr |
|
10 |
|
simpllr |
|
11 |
|
clwwnisshclwwsn |
|
12 |
9 10 11
|
syl2an2r |
|
13 |
|
eleq1 |
|
14 |
13
|
adantl |
|
15 |
12 14
|
mpbird |
|
16 |
15
|
exp31 |
|
17 |
16
|
com23 |
|
18 |
17
|
rexlimdva |
|
19 |
18
|
imp |
|
20 |
19
|
impcom |
|
21 |
|
simprr |
|
22 |
20 21
|
jca |
|
23 |
8 22
|
impbida |
|
24 |
|
eqeq1 |
|
25 |
24
|
rexbidv |
|
26 |
25
|
elrab |
|
27 |
|
eqeq1 |
|
28 |
27
|
rexbidv |
|
29 |
28
|
elrab |
|
30 |
23 26 29
|
3bitr4g |
|
31 |
30
|
eqrdv |
|
32 |
3 31
|
syl5eq |
|