Step |
Hyp |
Ref |
Expression |
1 |
|
ntrnei.o |
|
2 |
|
ntrnei.f |
|
3 |
|
ntrnei.r |
|
4 |
|
dfss3 |
|
5 |
1 2 3
|
ntrneiiex |
|
6 |
|
elmapi |
|
7 |
5 6
|
syl |
|
8 |
7
|
ffvelrnda |
|
9 |
8
|
elpwid |
|
10 |
|
ssinss1 |
|
11 |
9 10
|
syl |
|
12 |
11
|
adantr |
|
13 |
|
ralss |
|
14 |
12 13
|
syl |
|
15 |
|
elin |
|
16 |
3
|
ad3antrrr |
|
17 |
|
simpr |
|
18 |
|
simpllr |
|
19 |
1 2 16 17 18
|
ntrneiel |
|
20 |
|
simplr |
|
21 |
1 2 16 17 20
|
ntrneiel |
|
22 |
19 21
|
anbi12d |
|
23 |
15 22
|
syl5bb |
|
24 |
1 2 3
|
ntrneibex |
|
25 |
24
|
ad3antrrr |
|
26 |
18
|
elpwid |
|
27 |
|
ssinss1 |
|
28 |
26 27
|
syl |
|
29 |
25 28
|
sselpwd |
|
30 |
1 2 16 17 29
|
ntrneiel |
|
31 |
23 30
|
imbi12d |
|
32 |
31
|
ralbidva |
|
33 |
14 32
|
bitrd |
|
34 |
4 33
|
syl5bb |
|
35 |
34
|
ralbidva |
|
36 |
|
ralcom |
|
37 |
35 36
|
syl6bb |
|
38 |
37
|
ralbidva |
|
39 |
|
ralcom |
|
40 |
38 39
|
syl6bb |
|