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Metamath Proof Explorer

Theorem zex

Description: The set of integers exists. See also zexALT . (Contributed by NM, 30-Jul-2004) (Revised by Mario Carneiro, 17-Nov-2014)

Ref Expression
Assertion zex ⊢ ℤ ∈ V

Proof

Step Hyp Ref Expression
1 cnex ⊢ ℂ ∈ V
2 zsscn ⊢ ℤ ⊆ ℂ
3 1 2 ssexi ⊢ ℤ ∈ V