Step |
Hyp |
Ref |
Expression |
1 |
|
pwfilem.1 |
|
2 |
|
pwundif |
|
3 |
|
vex |
|
4 |
|
snex |
|
5 |
3 4
|
unex |
|
6 |
5 1
|
fnmpti |
|
7 |
|
dffn4 |
|
8 |
6 7
|
mpbi |
|
9 |
|
fodomfi |
|
10 |
8 9
|
mpan2 |
|
11 |
|
domfi |
|
12 |
10 11
|
mpdan |
|
13 |
|
eldifi |
|
14 |
4
|
elpwun |
|
15 |
13 14
|
sylib |
|
16 |
|
undif1 |
|
17 |
|
elpwunsn |
|
18 |
17
|
snssd |
|
19 |
|
ssequn2 |
|
20 |
18 19
|
sylib |
|
21 |
16 20
|
syl5req |
|
22 |
|
uneq1 |
|
23 |
22
|
rspceeqv |
|
24 |
15 21 23
|
syl2anc |
|
25 |
1 5
|
elrnmpti |
|
26 |
24 25
|
sylibr |
|
27 |
26
|
ssriv |
|
28 |
|
ssdomg |
|
29 |
12 27 28
|
mpisyl |
|
30 |
|
domfi |
|
31 |
12 29 30
|
syl2anc |
|
32 |
|
unfi |
|
33 |
31 32
|
mpancom |
|
34 |
2 33
|
eqeltrid |
|