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

Proof

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