Description: Positive means nonzero (useful for ordering theorems involving division). (Contributed by NM, 16-Sep-1999)
Ref | Expression | ||
---|---|---|---|
Hypothesis | lt2.1 | |- A e. RR |
|
Assertion | gt0ne0i | |- ( 0 < A -> A =/= 0 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lt2.1 | |- A e. RR |
|
2 | 0re | |- 0 e. RR |
|
3 | 2 1 | ltnei | |- ( 0 < A -> A =/= 0 ) |