Metamath Proof Explorer

Theorem rpgt0d

Description: A positive real is greater than zero. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis rpred.1 
|- ( ph -> A e. RR+ )
Assertion rpgt0d 
|- ( ph -> 0 < A )

Proof

Step Hyp Ref Expression
1 rpred.1 
 |-  ( ph -> A e. RR+ )
2 rpgt0 
 |-  ( A e. RR+ -> 0 < A )
3 1 2 syl 
 |-  ( ph -> 0 < A )