Step |
Hyp |
Ref |
Expression |
1 |
|
0ex |
|
2 |
1
|
eldm |
|
3 |
|
brtpos0 |
|
4 |
3
|
elv |
|
5 |
|
0nelrel0 |
|
6 |
|
vex |
|
7 |
1 6
|
breldm |
|
8 |
5 7
|
nsyl3 |
|
9 |
4 8
|
sylbir |
|
10 |
9
|
exlimiv |
|
11 |
2 10
|
sylbi |
|
12 |
11
|
con2i |
|
13 |
|
vex |
|
14 |
13
|
eldm |
|
15 |
|
relcnv |
|
16 |
|
df-rel |
|
17 |
15 16
|
mpbi |
|
18 |
17
|
sseli |
|
19 |
18
|
a1i |
|
20 |
|
elsni |
|
21 |
20
|
breq1d |
|
22 |
1 6
|
breldm |
|
23 |
22
|
pm2.24d |
|
24 |
4 23
|
sylbi |
|
25 |
21 24
|
syl6bi |
|
26 |
25
|
com3l |
|
27 |
26
|
impcom |
|
28 |
|
brtpos2 |
|
29 |
6 28
|
ax-mp |
|
30 |
29
|
simplbi |
|
31 |
|
elun |
|
32 |
30 31
|
sylib |
|
33 |
32
|
adantl |
|
34 |
19 27 33
|
mpjaod |
|
35 |
34
|
ex |
|
36 |
35
|
exlimdv |
|
37 |
14 36
|
syl5bi |
|
38 |
37
|
ssrdv |
|
39 |
|
df-rel |
|
40 |
38 39
|
sylibr |
|
41 |
12 40
|
impbii |
|