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Metamath Proof Explorer

Theorem nnq

Description: A positive integer is rational. (Contributed by NM, 17-Nov-2004)

Ref Expression
Assertion nnq ( 𝐴 ∈ ℕ → 𝐴 ∈ ℚ )

Proof

Step Hyp Ref Expression
1 nnssq ⊢ ℕ ⊆ ℚ
2 1 sseli ⊢ ( 𝐴 ∈ ℕ → 𝐴 ∈ ℚ )