Step |
Hyp |
Ref |
Expression |
1 |
|
pweq |
|
2 |
1
|
sseq1d |
|
3 |
1
|
eleq1d |
|
4 |
2 3
|
anbi12d |
|
5 |
4
|
rspcva |
|
6 |
5
|
simpld |
|
7 |
|
rabss |
|
8 |
7
|
biimpri |
|
9 |
|
vex |
|
10 |
9
|
canth2 |
|
11 |
|
sdomdom |
|
12 |
10 11
|
ax-mp |
|
13 |
|
ssdomg |
|
14 |
13
|
elv |
|
15 |
|
domtr |
|
16 |
12 14 15
|
sylancr |
|
17 |
|
vex |
|
18 |
|
tskwe |
|
19 |
17 18
|
mpan |
|
20 |
|
numdom |
|
21 |
20
|
expcom |
|
22 |
16 19 21
|
syl2im |
|
23 |
6 8 22
|
syl2im |
|
24 |
23
|
3impia |
|
25 |
|
axgroth6 |
|
26 |
24 25
|
exlimiiv |
|
27 |
26 9
|
2th |
|
28 |
27
|
eqriv |
|