Description: If M < N then N - M is a positive integer. (Contributed by Mario Carneiro, 1-Jan-2017)
Ref | Expression | ||
---|---|---|---|
Assertion | fzonnsub2 | |- ( K e. ( M ..^ N ) -> ( N - M ) e. NN ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elfzolt3b | |- ( K e. ( M ..^ N ) -> M e. ( M ..^ N ) ) |
|
2 | fzonnsub | |- ( M e. ( M ..^ N ) -> ( N - M ) e. NN ) |
|
3 | 1 2 | syl | |- ( K e. ( M ..^ N ) -> ( N - M ) e. NN ) |