Step |
Hyp |
Ref |
Expression |
1 |
|
pridl.1 |
|
2 |
|
eqid |
|
3 |
|
eqid |
|
4 |
2 1 3
|
ispridl |
|
5 |
|
df-3an |
|
6 |
4 5
|
syl6bb |
|
7 |
6
|
simplbda |
|
8 |
|
raleq |
|
9 |
|
sseq1 |
|
10 |
9
|
orbi1d |
|
11 |
8 10
|
imbi12d |
|
12 |
|
raleq |
|
13 |
12
|
ralbidv |
|
14 |
|
sseq1 |
|
15 |
14
|
orbi2d |
|
16 |
13 15
|
imbi12d |
|
17 |
11 16
|
rspc2v |
|
18 |
7 17
|
syl5com |
|
19 |
18
|
expd |
|
20 |
19
|
3imp2 |
|