Theorem rpgt0

Description: A positive real is greater than zero. (Contributed by FL, 27-Dec-2007)

	Ref	Expression
Assertion	rpgt0	$$⊢A\in {ℝ}^{+}\to 0<A$$

Proof

Step	Hyp	Ref	Expression
1		elrp	$$⊢A\in {ℝ}^{+}\leftrightarrow \left(A\in ℝ\wedge 0<A\right)$$
2	1	simprbi	$$⊢A\in {ℝ}^{+}\to 0<A$$