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 ⊆ ℕ

Proof

Step Hyp Ref Expression
1 prmnn ⊢ x ∈ ℙ → x ∈ ℕ
2 1 ssriv ⊢ ℙ ⊆ ℕ