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Metamath Proof Explorer

Theorem recn

Description: A real number is a complex number. (Contributed by NM, 10-Aug-1999)

		Ref	Expression
	Assertion	recn	$⊢ A \in ℝ \to A \in ℂ$

Step	Hyp	Ref	Expression
1		ax-resscn	$⊢ ℝ \subseteq ℂ$
2	1	sseli	$⊢ A \in ℝ \to A \in ℂ$