Description: 0 is not an odd number. (Contributed by AV, 3-Feb-2020) (Revised by AV, 17-Jun-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | 0noddALTV | |- 0 e/ Odd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 0evenALTV | |- 0 e. Even |
|
2 | df-nel | |- ( 0 e/ Odd <-> -. 0 e. Odd ) |
|
3 | 0z | |- 0 e. ZZ |
|
4 | zeo2ALTV | |- ( 0 e. ZZ -> ( 0 e. Even <-> -. 0 e. Odd ) ) |
|
5 | 4 | bicomd | |- ( 0 e. ZZ -> ( -. 0 e. Odd <-> 0 e. Even ) ) |
6 | 3 5 | ax-mp | |- ( -. 0 e. Odd <-> 0 e. Even ) |
7 | 2 6 | bitri | |- ( 0 e/ Odd <-> 0 e. Even ) |
8 | 1 7 | mpbir | |- 0 e/ Odd |