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Metamath Proof Explorer

Theorem negcli

Description: Closure law for negative. (Contributed by NM, 26-Nov-1994)

		Ref	Expression
	Hypothesis	negidi.1	$⊢ A \in ℂ$
	Assertion	negcli	$⊢ - A \in ℂ$

Step	Hyp	Ref	Expression
1		negidi.1	$⊢ A \in ℂ$
2		negcl	$⊢ A \in ℂ \to - A \in ℂ$
3	1 2	ax-mp	$⊢ - A \in ℂ$