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