Description: The prime count of an integer is greater than or equal to zero. (Contributed by Mario Carneiro, 3-Oct-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | pcge0 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 0lepnf | |
|
2 | oveq2 | |
|
3 | pc0 | |
|
4 | 3 | adantr | |
5 | 2 4 | sylan9eqr | |
6 | 1 5 | breqtrrid | |
7 | pczcl | |
|
8 | 7 | nn0ge0d | |
9 | 8 | anassrs | |
10 | 6 9 | pm2.61dane | |