Description: A nonnegative number plus one is a positive number. (Contributed by Mario Carneiro, 5-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | ge0p1rp | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | peano2re | |
|
2 | 1 | adantr | |
3 | 0red | |
|
4 | simpl | |
|
5 | simpr | |
|
6 | ltp1 | |
|
7 | 6 | adantr | |
8 | 3 4 2 5 7 | lelttrd | |
9 | elrp | |
|
10 | 2 8 9 | sylanbrc | |