Step |
Hyp |
Ref |
Expression |
1 |
|
8even |
|
2 |
|
5prm |
|
3 |
|
3prm |
|
4 |
|
5odd |
|
5 |
|
3odd |
|
6 |
|
5p3e8 |
|
7 |
6
|
eqcomi |
|
8 |
4 5 7
|
3pm3.2i |
|
9 |
|
eleq1 |
|
10 |
|
biidd |
|
11 |
|
oveq1 |
|
12 |
11
|
eqeq2d |
|
13 |
9 10 12
|
3anbi123d |
|
14 |
|
biidd |
|
15 |
|
eleq1 |
|
16 |
|
oveq2 |
|
17 |
16
|
eqeq2d |
|
18 |
14 15 17
|
3anbi123d |
|
19 |
13 18
|
rspc2ev |
|
20 |
2 3 8 19
|
mp3an |
|
21 |
|
isgbe |
|
22 |
1 20 21
|
mpbir2an |
|