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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