Description: Abutting half-open integer ranges are disjoint. (Contributed by Stefan O'Rear, 14-Aug-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | fzodisj | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | disj1 | |
|
2 | elfzolt2 | |
|
3 | elfzoelz | |
|
4 | 3 | zred | |
5 | elfzoel2 | |
|
6 | 5 | zred | |
7 | 4 6 | ltnled | |
8 | 2 7 | mpbid | |
9 | elfzole1 | |
|
10 | 8 9 | nsyl | |
11 | 1 10 | mpgbir | |