Description: The infimum of the set of nonnegative integers is zero. (Contributed by NM, 16-Jun-2005) (Revised by AV, 5-Sep-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | nn0inf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nn0uz | ||
2 | 1 | infeq1i | |
3 | 0z | ||
4 | 3 | uzinfi | |
5 | 2 4 | eqtri |