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Metamath Proof Explorer

Theorem rpsscn

Description: The positive reals are a subset of the complex numbers. (Contributed by SN, 1-Oct-2025)

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

Step	Hyp	Ref	Expression
1		rpssre	$⊢ ℝ^{+} \subseteq ℝ$
2		ax-resscn	$⊢ ℝ \subseteq ℂ$
3	1 2	sstri	$⊢ ℝ^{+} \subseteq ℂ$