Description: A number is less than or equal to itself plus a nonnegative integer. (Contributed by NM, 10-Mar-2005)
Ref | Expression | ||
---|---|---|---|
Hypotheses | nn0addge1i.1 | |- A e. RR |
|
nn0addge1i.2 | |- N e. NN0 |
||
Assertion | nn0addge2i | |- A <_ ( N + A ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nn0addge1i.1 | |- A e. RR |
|
2 | nn0addge1i.2 | |- N e. NN0 |
|
3 | nn0addge2 | |- ( ( A e. RR /\ N e. NN0 ) -> A <_ ( N + A ) ) |
|
4 | 1 2 3 | mp2an | |- A <_ ( N + A ) |