Description: 6 is an even Goldbach number. (Contributed by AV, 20-Jul-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | 6gbe | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 6even | |
|
2 | 3prm | |
|
3 | 3odd | |
|
4 | gbpart6 | |
|
5 | 3 3 4 | 3pm3.2i | |
6 | eleq1 | |
|
7 | biidd | |
|
8 | oveq1 | |
|
9 | 8 | eqeq2d | |
10 | 6 7 9 | 3anbi123d | |
11 | biidd | |
|
12 | eleq1 | |
|
13 | oveq2 | |
|
14 | 13 | eqeq2d | |
15 | 11 12 14 | 3anbi123d | |
16 | 10 15 | rspc2ev | |
17 | 2 2 5 16 | mp3an | |
18 | isgbe | |
|
19 | 1 17 18 | mpbir2an | |