Step |
Hyp |
Ref |
Expression |
1 |
|
eleq2w |
|
2 |
|
id |
|
3 |
|
unieq |
|
4 |
3
|
difeq1d |
|
5 |
4 2
|
eleq12d |
|
6 |
2 5
|
raleqbidv |
|
7 |
|
pweq |
|
8 |
|
eleq2w |
|
9 |
8
|
imbi2d |
|
10 |
7 9
|
raleqbidv |
|
11 |
1 6 10
|
3anbi123d |
|
12 |
|
eleq2 |
|
13 |
|
id |
|
14 |
|
unieq |
|
15 |
14
|
difeq1d |
|
16 |
15 13
|
eleq12d |
|
17 |
13 16
|
raleqbidv |
|
18 |
|
pweq |
|
19 |
|
eleq2 |
|
20 |
19
|
imbi2d |
|
21 |
18 20
|
raleqbidv |
|
22 |
12 17 21
|
3anbi123d |
|
23 |
|
df-salg |
|
24 |
11 22 23
|
elab2gw |
|