Theorem prmex

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

	Ref	Expression
Assertion	prmex	$$⊢\mathbb{P}\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		nnex	$$⊢\mathbb{N}\in \mathrm{V}$$
2		prmssnn	$$⊢\mathbb{P}\subseteq \mathbb{N}$$
3	1 2	ssexi	$$⊢\mathbb{P}\in \mathrm{V}$$