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Metamath Proof Explorer

Theorem 0lepnf

Description: 0 less than or equal to positive infinity. (Contributed by David A. Wheeler, 8-Dec-2018)

		Ref	Expression
	Assertion	0lepnf	$⊢ 0 \leq +∞$

Step	Hyp	Ref	Expression
1		0xr	$⊢ 0 \in ℝ^{*}$
2		pnfge	$⊢ 0 \in ℝ^{*} \to 0 \leq +∞$
3	1 2	ax-mp	$⊢ 0 \leq +∞$