Step |
Hyp |
Ref |
Expression |
1 |
|
dipdir.1 |
|
2 |
|
dipdir.2 |
|
3 |
|
dipdir.7 |
|
4 |
|
fveq2 |
|
5 |
1 4
|
syl5eq |
|
6 |
5
|
eleq2d |
|
7 |
5
|
eleq2d |
|
8 |
5
|
eleq2d |
|
9 |
6 7 8
|
3anbi123d |
|
10 |
|
fveq2 |
|
11 |
2 10
|
syl5eq |
|
12 |
11
|
oveqd |
|
13 |
12
|
oveq1d |
|
14 |
|
fveq2 |
|
15 |
3 14
|
syl5eq |
|
16 |
15
|
oveqd |
|
17 |
13 16
|
eqtrd |
|
18 |
15
|
oveqd |
|
19 |
15
|
oveqd |
|
20 |
18 19
|
oveq12d |
|
21 |
17 20
|
eqeq12d |
|
22 |
9 21
|
imbi12d |
|
23 |
|
eqid |
|
24 |
|
eqid |
|
25 |
|
eqid |
|
26 |
|
eqid |
|
27 |
|
elimphu |
|
28 |
23 24 25 26 27
|
ipdiri |
|
29 |
22 28
|
dedth |
|
30 |
29
|
imp |
|