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Metamath Proof Explorer

Theorem mnflt0

Description: Minus infinity is less than 0. (Contributed by David A. Wheeler, 8-Dec-2018)

		Ref	Expression
	Assertion	mnflt0	⊢ -∞ < 0

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