Description: The floor of an even number divided by 2 is equal to the even number divided by 2. (Contributed by AV, 7-Jun-2020) (Revised by AV, 18-Jun-2020)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | zefldiv2ALTV | |- ( N e. Even -> ( |_ ` ( N / 2 ) ) = ( N / 2 ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | evendiv2z | |- ( N e. Even -> ( N / 2 ) e. ZZ ) |
|
| 2 | flid | |- ( ( N / 2 ) e. ZZ -> ( |_ ` ( N / 2 ) ) = ( N / 2 ) ) |
|
| 3 | 1 2 | syl | |- ( N e. Even -> ( |_ ` ( N / 2 ) ) = ( N / 2 ) ) |