Step |
Hyp |
Ref |
Expression |
1 |
|
ltrelpr |
|
2 |
1
|
brel |
|
3 |
2
|
simpld |
|
4 |
3
|
ralimi |
|
5 |
|
dfss3 |
|
6 |
4 5
|
sylibr |
|
7 |
6
|
rexlimivw |
|
8 |
7
|
adantl |
|
9 |
|
n0 |
|
10 |
|
ssel |
|
11 |
|
prn0 |
|
12 |
|
0pss |
|
13 |
11 12
|
sylibr |
|
14 |
|
elssuni |
|
15 |
|
psssstr |
|
16 |
13 14 15
|
syl2an |
|
17 |
16
|
expcom |
|
18 |
10 17
|
sylcom |
|
19 |
18
|
exlimdv |
|
20 |
9 19
|
syl5bi |
|
21 |
|
prpssnq |
|
22 |
21
|
adantl |
|
23 |
|
ltprord |
|
24 |
|
pssss |
|
25 |
23 24
|
syl6bi |
|
26 |
2 25
|
mpcom |
|
27 |
26
|
ralimi |
|
28 |
|
unissb |
|
29 |
27 28
|
sylibr |
|
30 |
|
sspsstr |
|
31 |
30
|
expcom |
|
32 |
22 29 31
|
syl2im |
|
33 |
32
|
rexlimdva |
|
34 |
20 33
|
anim12d |
|
35 |
8 34
|
mpcom |
|
36 |
|
prcdnq |
|
37 |
36
|
ex |
|
38 |
37
|
com3r |
|
39 |
10 38
|
sylan9 |
|
40 |
39
|
reximdvai |
|
41 |
|
eluni2 |
|
42 |
|
eluni2 |
|
43 |
40 41 42
|
3imtr4g |
|
44 |
43
|
ex |
|
45 |
44
|
com23 |
|
46 |
45
|
alrimdv |
|
47 |
|
eluni |
|
48 |
|
prnmax |
|
49 |
48
|
ex |
|
50 |
10 49
|
syl6 |
|
51 |
50
|
com23 |
|
52 |
51
|
imp |
|
53 |
|
ssrexv |
|
54 |
14 53
|
syl |
|
55 |
52 54
|
sylcom |
|
56 |
55
|
expimpd |
|
57 |
56
|
exlimdv |
|
58 |
47 57
|
syl5bi |
|
59 |
46 58
|
jcad |
|
60 |
59
|
ralrimiv |
|
61 |
8 60
|
syl |
|
62 |
|
elnp |
|
63 |
35 61 62
|
sylanbrc |
|