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Metamath Proof Explorer

Theorem pnfex

Description: Plus infinity exists. (Contributed by David A. Wheeler, 8-Dec-2018) (Revised by Steven Nguyen, 7-Dec-2022)

Ref Expression
Assertion pnfex ⊢ +∞ ∈ V

Proof

Step Hyp Ref Expression
1 df-pnf ⊢ +∞ = 𝒫 ⋃ ℂ
2 cnex ⊢ ℂ ∈ V
3 2 uniex ⊢ ⋃ ℂ ∈ V
4 3 pwex ⊢ 𝒫 ⋃ ℂ ∈ V
5 1 4 eqeltri ⊢ +∞ ∈ V