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Metamath Proof Explorer

Definition df-c

Description: Define the set of complex numbers. The 23 axioms for complex numbers start at axresscn . (Contributed by NM, 22-Feb-1996) (New usage is discouraged.)

		Ref	Expression
	Assertion	df-c	$⊢ ℂ = 𝑹 \times 𝑹$

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cc	$class ℂ$
1		cnr	$class 𝑹$
2	1 1	cxp	$class (𝑹 \times 𝑹)$
3	0 2	wceq	$wff ℂ = 𝑹 \times 𝑹$