Metamath Proof Explorer


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