Description: Membership in a finite set of sequential integers containing one integer. (Contributed by NM, 21-Jul-2005)
Ref | Expression | ||
---|---|---|---|
Assertion | elfz3 | |- ( N e. ZZ -> N e. ( N ... N ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | uzid | |- ( N e. ZZ -> N e. ( ZZ>= ` N ) ) |
|
2 | eluzfz1 | |- ( N e. ( ZZ>= ` N ) -> N e. ( N ... N ) ) |
|
3 | 1 2 | syl | |- ( N e. ZZ -> N e. ( N ... N ) ) |