Step |
Hyp |
Ref |
Expression |
1 |
|
ntrnei.o |
|
2 |
|
ntrnei.f |
|
3 |
|
ntrnei.r |
|
4 |
|
dfss3 |
|
5 |
1 2 3
|
ntrneiiex |
|
6 |
5
|
ad2antrr |
|
7 |
|
elmapi |
|
8 |
6 7
|
syl |
|
9 |
1 2 3
|
ntrneibex |
|
10 |
9
|
ad2antrr |
|
11 |
|
simplr |
|
12 |
11
|
elpwid |
|
13 |
|
simpr |
|
14 |
13
|
elpwid |
|
15 |
12 14
|
unssd |
|
16 |
10 15
|
sselpwd |
|
17 |
8 16
|
ffvelrnd |
|
18 |
17
|
elpwid |
|
19 |
|
ralss |
|
20 |
18 19
|
syl |
|
21 |
4 20
|
syl5bb |
|
22 |
|
dfss3 |
|
23 |
8 11
|
ffvelrnd |
|
24 |
23
|
elpwid |
|
25 |
8 13
|
ffvelrnd |
|
26 |
25
|
elpwid |
|
27 |
24 26
|
unssd |
|
28 |
|
ralss |
|
29 |
27 28
|
syl |
|
30 |
22 29
|
syl5bb |
|
31 |
21 30
|
anbi12d |
|
32 |
|
eqss |
|
33 |
|
ralbiim |
|
34 |
31 32 33
|
3bitr4g |
|
35 |
3
|
ad3antrrr |
|
36 |
|
simpr |
|
37 |
9
|
ad3antrrr |
|
38 |
|
simpllr |
|
39 |
38
|
elpwid |
|
40 |
|
simplr |
|
41 |
40
|
elpwid |
|
42 |
39 41
|
unssd |
|
43 |
37 42
|
sselpwd |
|
44 |
1 2 35 36 43
|
ntrneiel |
|
45 |
|
elun |
|
46 |
1 2 35 36 38
|
ntrneiel |
|
47 |
1 2 35 36 40
|
ntrneiel |
|
48 |
46 47
|
orbi12d |
|
49 |
45 48
|
syl5bb |
|
50 |
44 49
|
bibi12d |
|
51 |
50
|
ralbidva |
|
52 |
34 51
|
bitrd |
|
53 |
52
|
ralbidva |
|
54 |
|
ralcom |
|
55 |
53 54
|
syl6bb |
|
56 |
55
|
ralbidva |
|
57 |
|
ralcom |
|
58 |
56 57
|
syl6bb |
|