Description: 5 is an odd number. (Contributed by AV, 23-Jul-2020)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | 5odd | |- 5 e. Odd |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 4even | |- 4 e. Even |
|
| 2 | df-5 | |- 5 = ( 4 + 1 ) |
|
| 3 | evenp1odd | |- ( 4 e. Even -> ( 4 + 1 ) e. Odd ) |
|
| 4 | 2 3 | eqeltrid | |- ( 4 e. Even -> 5 e. Odd ) |
| 5 | 1 4 | ax-mp | |- 5 e. Odd |