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Metamath Proof Explorer

Theorem 0reALT

Description: Alternate proof of 0re . (Contributed by NM, 19-Feb-2005) (Proof modification is discouraged.) (New usage is discouraged.)

		Ref	Expression
	Assertion	0reALT	$⊢ 0 \in ℝ$

Step	Hyp	Ref	Expression
1		ax-1cn	$⊢ 1 \in ℂ$
2	1	subidi	$⊢ 1 - 1 = 0$
3		1re	$⊢ 1 \in ℝ$
4	3 3	resubcli	$⊢ 1 - 1 \in ℝ$
5	2 4	eqeltrri	$⊢ 0 \in ℝ$