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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⁺ ⊆ ℂ

Step	Hyp	Ref	Expression
1		rpssre	⊢ ℝ⁺ ⊆ ℝ
2		ax-resscn	⊢ ℝ ⊆ ℂ
3	1 2	sstri	⊢ ℝ⁺ ⊆ ℂ