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+ ⊆ ℝ*

Proof

Step	Hyp	Ref	Expression
1		rpssre	⊢ ℝ+ ⊆ ℝ
2		ressxr	⊢ ℝ ⊆ ℝ*
3	1 2	sstri	⊢ ℝ+ ⊆ ℝ*