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Metamath Proof Explorer

Theorem recnd

Description: Deduction from real number to complex number. (Contributed by NM, 26-Oct-1999)

		Ref	Expression
	Hypothesis	recnd.1	$⊢ φ \to A \in ℝ$
	Assertion	recnd	$⊢ φ \to A \in ℂ$

Step	Hyp	Ref	Expression
1		recnd.1	$⊢ φ \to A \in ℝ$
2		recn	$⊢ A \in ℝ \to A \in ℂ$
3	1 2	syl	$⊢ φ \to A \in ℂ$