Step |
Hyp |
Ref |
Expression |
1 |
|
elex |
|
2 |
|
simpl1 |
|
3 |
|
psseq2 |
|
4 |
|
psseq1 |
|
5 |
3 4
|
anbi12d |
|
6 |
|
elequ2 |
|
7 |
6
|
imbi2d |
|
8 |
7
|
albidv |
|
9 |
|
rexeq |
|
10 |
8 9
|
anbi12d |
|
11 |
10
|
raleqbi1dv |
|
12 |
5 11
|
anbi12d |
|
13 |
|
psseq2 |
|
14 |
|
psseq1 |
|
15 |
13 14
|
anbi12d |
|
16 |
|
eleq2 |
|
17 |
16
|
imbi2d |
|
18 |
17
|
albidv |
|
19 |
|
rexeq |
|
20 |
18 19
|
anbi12d |
|
21 |
20
|
raleqbi1dv |
|
22 |
15 21
|
anbi12d |
|
23 |
|
df-np |
|
24 |
12 22 23
|
elab2gw |
|
25 |
|
id |
|
26 |
25
|
3expib |
|
27 |
|
3simpc |
|
28 |
26 27
|
impbid1 |
|
29 |
28
|
anbi1d |
|
30 |
24 29
|
bitrd |
|
31 |
1 2 30
|
pm5.21nii |
|