Description: 2 divides 0. That means 0 is even. (Contributed by AV, 11-Feb-2020) (Revised by AV, 23-Jun-2021)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | z0even | |- 2 || 0 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | 2z | |- 2 e. ZZ | |
| 2 | dvds0 | |- ( 2 e. ZZ -> 2 || 0 ) | |
| 3 | 1 2 | ax-mp | |- 2 || 0 |