Step |
Hyp |
Ref |
Expression |
1 |
|
pimxrneun.1 |
|
2 |
|
pimxrneun.2 |
|
3 |
|
pimxrneun.3 |
|
4 |
|
nfrab1 |
|
5 |
|
nfrab1 |
|
6 |
4 5
|
nfun |
|
7 |
|
simpl |
|
8 |
|
simpr |
|
9 |
7 8
|
jca |
|
10 |
|
rabid |
|
11 |
9 10
|
sylibr |
|
12 |
11
|
adantll |
|
13 |
|
elun1 |
|
14 |
12 13
|
syl |
|
15 |
14
|
3adantl3 |
|
16 |
|
3simpa |
|
17 |
16
|
adantr |
|
18 |
3
|
adantr |
|
19 |
18
|
3adantl3 |
|
20 |
2
|
adantr |
|
21 |
20
|
3adantl3 |
|
22 |
|
simpr |
|
23 |
19 21 22
|
xrnltled |
|
24 |
|
necom |
|
25 |
24
|
biimpi |
|
26 |
25
|
adantr |
|
27 |
26
|
3ad2antl3 |
|
28 |
19 21 23 27
|
xrleneltd |
|
29 |
|
id |
|
30 |
29
|
adantll |
|
31 |
|
rabid |
|
32 |
30 31
|
sylibr |
|
33 |
|
elun2 |
|
34 |
32 33
|
syl |
|
35 |
17 28 34
|
syl2anc |
|
36 |
15 35
|
pm2.61dan |
|
37 |
1 6 36
|
rabssd |
|
38 |
2
|
adantr |
|
39 |
3
|
adantr |
|
40 |
|
simpr |
|
41 |
38 39 40
|
xrltned |
|
42 |
41
|
ex |
|
43 |
1 42
|
ss2rabdf |
|
44 |
3
|
adantr |
|
45 |
2
|
adantr |
|
46 |
|
simpr |
|
47 |
44 45 46
|
xrgtned |
|
48 |
47
|
ex |
|
49 |
1 48
|
ss2rabdf |
|
50 |
43 49
|
unssd |
|
51 |
37 50
|
eqssd |
|