Step |
Hyp |
Ref |
Expression |
1 |
|
ntrnei.o |
|
2 |
|
ntrnei.f |
|
3 |
|
ntrnei.r |
|
4 |
|
dfss2 |
|
5 |
4
|
imbi2i |
|
6 |
|
19.21v |
|
7 |
5 6
|
bitr4i |
|
8 |
|
ax-1 |
|
9 |
|
simpll |
|
10 |
1 2 3
|
ntrneiiex |
|
11 |
|
elmapi |
|
12 |
9 10 11
|
3syl |
|
13 |
|
simplr |
|
14 |
12 13
|
ffvelrnd |
|
15 |
14
|
elpwid |
|
16 |
15
|
sselda |
|
17 |
16
|
pm2.24d |
|
18 |
17
|
ex |
|
19 |
18
|
com23 |
|
20 |
19
|
a1dd |
|
21 |
|
idd |
|
22 |
20 21
|
jad |
|
23 |
8 22
|
impbid2 |
|
24 |
23
|
albidv |
|
25 |
|
df-ral |
|
26 |
24 25
|
bitr4di |
|
27 |
3
|
ad3antrrr |
|
28 |
|
simpr |
|
29 |
|
simpllr |
|
30 |
1 2 27 28 29
|
ntrneiel |
|
31 |
|
simplr |
|
32 |
1 2 27 28 31
|
ntrneiel |
|
33 |
30 32
|
imbi12d |
|
34 |
33
|
imbi2d |
|
35 |
|
impexp |
|
36 |
|
ancomst |
|
37 |
35 36
|
bitr3i |
|
38 |
34 37
|
syl6bb |
|
39 |
38
|
ralbidva |
|
40 |
26 39
|
bitrd |
|
41 |
7 40
|
syl5bb |
|
42 |
41
|
ralbidva |
|
43 |
|
ralcom |
|
44 |
42 43
|
syl6bb |
|
45 |
44
|
ralbidva |
|
46 |
|
ralcom |
|
47 |
45 46
|
syl6bb |
|