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Metamath Proof Explorer

Theorem absnegi

Description: Absolute value of negative. (Contributed by NM, 2-Aug-1999)

		Ref	Expression
	Hypothesis	absvalsqi.1	$⊢ A \in ℂ$
	Assertion	absnegi	$⊢ \|- A\| = \|A\|$

Step	Hyp	Ref	Expression
1		absvalsqi.1	$⊢ A \in ℂ$
2		absneg	$⊢ A \in ℂ \to \|- A\| = \|A\|$
3	1 2	ax-mp	$⊢ \|- A\| = \|A\|$