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Metamath Proof Explorer

Theorem cjcl

Description: The conjugate of a complex number is a complex number (closure law). (Contributed by NM, 10-May-1999) (Revised by Mario Carneiro, 6-Nov-2013)

		Ref	Expression
	Assertion	cjcl	$⊢ A \in ℂ \to \overline{A} \in ℂ$

Proof

Step	Hyp	Ref	Expression
1		cjf	$⊢ * : ℂ ⟶ ℂ$
2	1	ffvelcdmi	$⊢ A \in ℂ \to \overline{A} \in ℂ$