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Metamath Proof Explorer

Theorem prmex

Description: The set of prime numbers exists. (Contributed by AV, 22-Jul-2020)

		Ref	Expression
	Assertion	prmex	⊢ ℙ ∈ V

Step	Hyp	Ref	Expression
1		nnex	⊢ ℕ ∈ V
2		prmssnn	⊢ ℙ ⊆ ℕ
3	1 2	ssexi	⊢ ℙ ∈ V