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Metamath Proof Explorer

Theorem 0ltpnf

Description: Zero is less than plus infinity. (Contributed by David A. Wheeler, 8-Dec-2018)

		Ref	Expression
	Assertion	0ltpnf	⊢ 0 < +∞

Step	Hyp	Ref	Expression
1		0re	⊢ 0 ∈ ℝ
2		ltpnf	⊢ ( 0 ∈ ℝ → 0 < +∞ )
3	1 2	ax-mp	⊢ 0 < +∞