Description: If an integer is between another integer and its successor, the integer is equal to the other integer. (Contributed by AV, 30-May-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | zgeltp1eq | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simprr | |
|
2 | zleltp1 | |
|
3 | 2 | adantr | |
4 | 1 3 | mpbird | |
5 | simprl | |
|
6 | zre | |
|
7 | zre | |
|
8 | letri3 | |
|
9 | 6 7 8 | syl2an | |
10 | 9 | adantr | |
11 | 4 5 10 | mpbir2and | |
12 | 11 | ex | |