Step |
Hyp |
Ref |
Expression |
1 |
|
acsdrscl.f |
|
2 |
|
unifpw |
|
3 |
2
|
fveq2i |
|
4 |
|
vex |
|
5 |
|
fpwipodrs |
|
6 |
4 5
|
mp1i |
|
7 |
|
fveq2 |
|
8 |
7
|
eleq1d |
|
9 |
|
unieq |
|
10 |
9
|
fveq2d |
|
11 |
|
imaeq2 |
|
12 |
11
|
unieqd |
|
13 |
10 12
|
eqeq12d |
|
14 |
8 13
|
imbi12d |
|
15 |
|
simplr |
|
16 |
|
inss1 |
|
17 |
|
elpwi |
|
18 |
17
|
sspwd |
|
19 |
18
|
adantl |
|
20 |
16 19
|
sstrid |
|
21 |
|
vpwex |
|
22 |
21
|
inex1 |
|
23 |
22
|
elpw |
|
24 |
20 23
|
sylibr |
|
25 |
24
|
adantlr |
|
26 |
14 15 25
|
rspcdva |
|
27 |
6 26
|
mpd |
|
28 |
3 27
|
syl5eqr |
|
29 |
28
|
ralrimiva |
|
30 |
29
|
ex |
|
31 |
30
|
imdistani |
|