Step |
Hyp |
Ref |
Expression |
1 |
|
3ancomb |
|
2 |
|
df-3an |
|
3 |
|
df-ne |
|
4 |
3
|
anbi2i |
|
5 |
4
|
imbi1i |
|
6 |
|
pm5.6 |
|
7 |
|
iman |
|
8 |
5 6 7
|
3bitrri |
|
9 |
|
dflim3 |
|
10 |
8 9
|
xchnxbir |
|
11 |
10
|
anbi2i |
|
12 |
1 2 11
|
3bitri |
|
13 |
|
pm3.35 |
|
14 |
12 13
|
sylbi |
|
15 |
|
eloni |
|
16 |
|
ordsuc |
|
17 |
15 16
|
sylib |
|
18 |
|
nlimsucg |
|
19 |
|
nsuceq0 |
|
20 |
19
|
a1i |
|
21 |
17 18 20
|
3jca |
|
22 |
|
ordeq |
|
23 |
|
limeq |
|
24 |
23
|
notbid |
|
25 |
|
neeq1 |
|
26 |
22 24 25
|
3anbi123d |
|
27 |
21 26
|
syl5ibrcom |
|
28 |
27
|
rexlimiv |
|
29 |
14 28
|
impbii |
|