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Infinity and the extended real number system (cont.)
mnflt0
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mnfltpnf
Metamath Proof Explorer
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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