Theorem 0ltpnf

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

	Ref	Expression
Assertion	0ltpnf	$$⊢0<\mathrm{+\infty }$$

Proof

Step	Hyp	Ref	Expression
1		0re	$$⊢0\in ℝ$$
2		ltpnf	$$⊢0\in ℝ\to 0<\mathrm{+\infty }$$
3	1 2	ax-mp	$$⊢0<\mathrm{+\infty }$$