Database
REAL AND COMPLEX NUMBERS
Derive the basic properties from the field axioms
Infinity and the extended real number system
pnfnre2
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mnfnre
Metamath Proof Explorer
Ascii
Structured
Theorem
pnfnre2
Description:
Plus infinity is not a real number.
(Contributed by
Glauco Siliprandi
, 23-Oct-2021)
Ref
Expression
Assertion
pnfnre2
⊢
¬ +∞ ∈ ℝ
Proof
Step
Hyp
Ref
Expression
1
pnfnre
⊢
+∞ ∉ ℝ
2
1
neli
⊢
¬ +∞ ∈ ℝ