Step |
Hyp |
Ref |
Expression |
1 |
|
df-nel |
|
2 |
1
|
a1i |
|
3 |
|
elfz2nn0 |
|
4 |
3
|
a1i |
|
5 |
4
|
notbid |
|
6 |
|
3ianor |
|
7 |
6
|
a1i |
|
8 |
2 5 7
|
3bitrd |
|
9 |
|
3orrot |
|
10 |
|
3orass |
|
11 |
|
lencl |
|
12 |
11
|
pm2.24d |
|
13 |
12
|
com12 |
|
14 |
|
simpr |
|
15 |
14
|
con3i |
|
16 |
|
pfxnndmnd |
|
17 |
15 16
|
syl |
|
18 |
17
|
a1d |
|
19 |
|
notnotb |
|
20 |
11
|
nn0red |
|
21 |
|
nn0re |
|
22 |
|
ltnle |
|
23 |
20 21 22
|
syl2an |
|
24 |
|
pfxnd |
|
25 |
24
|
3expia |
|
26 |
23 25
|
sylbird |
|
27 |
26
|
expcom |
|
28 |
27
|
com23 |
|
29 |
19 28
|
sylbir |
|
30 |
29
|
imp |
|
31 |
18 30
|
jaoi3 |
|
32 |
31
|
orcoms |
|
33 |
13 32
|
jaoi |
|
34 |
10 33
|
sylbi |
|
35 |
9 34
|
sylbi |
|
36 |
35
|
com12 |
|
37 |
8 36
|
sylbid |
|
38 |
37
|
imp |
|