Step |
Hyp |
Ref |
Expression |
1 |
|
df-9 |
|
2 |
|
8even |
|
3 |
|
evenp1odd |
|
4 |
2 3
|
ax-mp |
|
5 |
1 4
|
eqeltri |
|
6 |
|
3prm |
|
7 |
|
3odd |
|
8 |
7 7 7
|
3pm3.2i |
|
9 |
|
gbpart9 |
|
10 |
8 9
|
pm3.2i |
|
11 |
|
eleq1 |
|
12 |
11
|
3anbi3d |
|
13 |
|
oveq2 |
|
14 |
13
|
eqeq2d |
|
15 |
12 14
|
anbi12d |
|
16 |
15
|
rspcev |
|
17 |
6 10 16
|
mp2an |
|
18 |
|
eleq1 |
|
19 |
18
|
3anbi1d |
|
20 |
|
oveq1 |
|
21 |
20
|
oveq1d |
|
22 |
21
|
eqeq2d |
|
23 |
19 22
|
anbi12d |
|
24 |
23
|
rexbidv |
|
25 |
|
eleq1 |
|
26 |
25
|
3anbi2d |
|
27 |
|
oveq2 |
|
28 |
27
|
oveq1d |
|
29 |
28
|
eqeq2d |
|
30 |
26 29
|
anbi12d |
|
31 |
30
|
rexbidv |
|
32 |
24 31
|
rspc2ev |
|
33 |
6 6 17 32
|
mp3an |
|
34 |
|
isgbo |
|
35 |
5 33 34
|
mpbir2an |
|