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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