Description: 8 is an even Goldbach number. (Contributed by AV, 20-Jul-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | 8gbe | |
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 | |