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Metamath Proof Explorer

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^*

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