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Metamath Proof Explorer

Theorem rpssre

Description: The positive reals are a subset of the reals. (Contributed by NM, 24-Feb-2008)

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

Step	Hyp	Ref	Expression
1		df-rp	$⊢ ℝ^{+} = \{x \in ℝ \| 0 < x\}$
2	1	ssrab3	$⊢ ℝ^{+} \subseteq ℝ$