This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem prmssnn

Description: The prime numbers are a subset of the positive integers. (Contributed by AV, 22-Jul-2020)

		Ref	Expression
	Assertion	prmssnn	$⊢ ℙ \subseteq ℕ$

Step	Hyp	Ref	Expression
1		prmnn	$⊢ x \in ℙ \to x \in ℕ$
2	1	ssriv	$⊢ ℙ \subseteq ℕ$