Step |
Hyp |
Ref |
Expression |
1 |
|
breq1 |
|
2 |
|
atcv0eq |
|
3 |
1 2
|
sylan9bbr |
|
4 |
3
|
biimpd |
|
5 |
4
|
ex |
|
6 |
5
|
com23 |
|
7 |
6
|
3adant1 |
|
8 |
7
|
imp |
|
9 |
|
oveq1 |
|
10 |
|
atelch |
|
11 |
|
chjidm |
|
12 |
10 11
|
syl |
|
13 |
9 12
|
sylan9eq |
|
14 |
13
|
eqcomd |
|
15 |
14
|
eleq1d |
|
16 |
15
|
ex |
|
17 |
16
|
ibd |
|
18 |
17
|
impcom |
|
19 |
|
atcveq0 |
|
20 |
18 19
|
sylan2 |
|
21 |
20
|
biimpd |
|
22 |
21
|
exp32 |
|
23 |
22
|
com34 |
|
24 |
23
|
imp |
|
25 |
24
|
3adant2 |
|
26 |
25
|
imp |
|
27 |
8 26
|
impbid |
|