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REAL AND COMPLEX NUMBERS
Derive the basic properties from the field axioms
Infinity and the extended real number system
mnfnepnf
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mnfxr
Metamath Proof Explorer
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Theorem
mnfnepnf
Description:
Minus and plus infinity are different.
(Contributed by
David A. Wheeler
, 8-Dec-2018)
Ref
Expression
Assertion
mnfnepnf
⊢
−∞
≠
+∞
Proof
Step
Hyp
Ref
Expression
1
pnfnemnf
⊢
+∞
≠
−∞
2
1
necomi
⊢
−∞
≠
+∞