Step |
Hyp |
Ref |
Expression |
1 |
|
fveq2 |
|
2 |
1
|
eleq2d |
|
3 |
2
|
notbid |
|
4 |
|
fveq2 |
|
5 |
4
|
eleq2d |
|
6 |
5
|
notbid |
|
7 |
|
fveq2 |
|
8 |
7
|
eleq2d |
|
9 |
8
|
notbid |
|
10 |
|
fveq2 |
|
11 |
10
|
eleq2d |
|
12 |
11
|
notbid |
|
13 |
|
0nelopab |
|
14 |
|
satf00 |
|
15 |
14
|
eleq2i |
|
16 |
13 15
|
mtbir |
|
17 |
|
simpr |
|
18 |
|
0nelopab |
|
19 |
|
ioran |
|
20 |
17 18 19
|
sylanblrc |
|
21 |
|
eqid |
|
22 |
21
|
satf0suc |
|
23 |
22
|
adantr |
|
24 |
23
|
eleq2d |
|
25 |
|
elun |
|
26 |
24 25
|
bitrdi |
|
27 |
20 26
|
mtbird |
|
28 |
27
|
ex |
|
29 |
3 6 9 12 16 28
|
finds |
|
30 |
|
df-nel |
|
31 |
29 30
|
sylibr |
|