Description: An integer is odd iff its successor divided by 2 is an integer. This is a representation of odd numbers without using the divides relation, see zeo and zeo2 . (Contributed by AV, 22-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | oddp1d2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oddp1even | |
|
2 | 2z | |
|
3 | 2ne0 | |
|
4 | peano2z | |
|
5 | dvdsval2 | |
|
6 | 2 3 4 5 | mp3an12i | |
7 | 1 6 | bitrd | |