Description: A positive real is a nonzero real number. (Contributed by Mario Carneiro, 28-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypothesis | rpred.1 | |- ( ph -> A e. RR+ ) |
|
Assertion | rprene0d | |- ( ph -> ( A e. RR /\ A =/= 0 ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rpred.1 | |- ( ph -> A e. RR+ ) |
|
2 | 1 | rpred | |- ( ph -> A e. RR ) |
3 | 1 | rpne0d | |- ( ph -> A =/= 0 ) |
4 | 2 3 | jca | |- ( ph -> ( A e. RR /\ A =/= 0 ) ) |