Step |
Hyp |
Ref |
Expression |
1 |
|
df-ima |
|
2 |
1
|
sseq1i |
|
3 |
|
ssel |
|
4 |
|
resdm |
|
5 |
4
|
eqcomd |
|
6 |
5
|
adantr |
|
7 |
6
|
rneqd |
|
8 |
7
|
eleq2d |
|
9 |
|
undif |
|
10 |
9
|
biimpi |
|
11 |
10
|
eqcomd |
|
12 |
11
|
reseq2d |
|
13 |
|
resundi |
|
14 |
12 13
|
eqtrdi |
|
15 |
14
|
rneqd |
|
16 |
|
rnun |
|
17 |
15 16
|
eqtrdi |
|
18 |
17
|
eleq2d |
|
19 |
|
elun |
|
20 |
18 19
|
bitrdi |
|
21 |
20
|
adantl |
|
22 |
8 21
|
bitrd |
|
23 |
22
|
adantl |
|
24 |
|
pm2.27 |
|
25 |
24
|
jao1i |
|
26 |
25
|
com12 |
|
27 |
26
|
adantr |
|
28 |
23 27
|
sylbid |
|
29 |
28
|
ex |
|
30 |
3 29
|
syl |
|
31 |
30
|
impcom |
|
32 |
31
|
ssrdv |
|
33 |
|
rnresss |
|
34 |
33
|
a1i |
|
35 |
32 34
|
eqssd |
|
36 |
35
|
ex |
|
37 |
2 36
|
biimtrid |
|