Theorem rpssxr

Description: The positive reals are a subset of the extended reals. (Contributed by Glauco Siliprandi, 5-Feb-2022)

	Ref	Expression
Assertion	rpssxr	$$⊢{ℝ}^{+}\subseteq {ℝ}^{*}$$

Proof

Step	Hyp	Ref	Expression
1		rpssre	$$⊢{ℝ}^{+}\subseteq ℝ$$
2		ressxr	$$⊢ℝ\subseteq {ℝ}^{*}$$
3	1 2	sstri	$$⊢{ℝ}^{+}\subseteq {ℝ}^{*}$$