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Metamath Proof Explorer

Theorem xneg0

Description: The negative of zero. (Contributed by Mario Carneiro, 20-Aug-2015)

		Ref	Expression
	Assertion	xneg0	$⊢ - 0 = 0$

Step	Hyp	Ref	Expression
1		0re	$⊢ 0 \in ℝ$
2		rexneg	$⊢ 0 \in ℝ \to - 0 = - 0$
3	1 2	ax-mp	$⊢ - 0 = - 0$
4		neg0	$⊢ - 0 = 0$
5	3 4	eqtri	$⊢ - 0 = 0$