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Metamath Proof Explorer

Theorem cnring

Description: The complex numbers form a ring. (Contributed by Stefan O'Rear, 27-Nov-2014)

		Ref	Expression
	Assertion	cnring	$⊢ ℂ_{fld} \in Ring$

Step	Hyp	Ref	Expression
1		cncrng	$⊢ ℂ_{fld} \in CRing$
2		crngring	$⊢ ℂ_{fld} \in CRing \to ℂ_{fld} \in Ring$
3	1 2	ax-mp	$⊢ ℂ_{fld} \in Ring$