Theorem rpre

Description: A positive real is a real. (Contributed by NM, 27-Oct-2007) (Proof shortened by Steven Nguyen, 8-Oct-2022)

	Ref	Expression
Assertion	rpre	$$⊢A\in {ℝ}^{+}\to A\in ℝ$$

Proof

Step	Hyp	Ref	Expression
1		rpssre	$$⊢{ℝ}^{+}\subseteq ℝ$$
2	1	sseli	$$⊢A\in {ℝ}^{+}\to A\in ℝ$$