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Metamath Proof Explorer

Theorem nnre

Description: A positive integer is a real number. (Contributed by NM, 18-Aug-1999)

Ref Expression
Assertion nnre ( 𝐴 ∈ ℕ → 𝐴 ∈ ℝ )

Proof

Step Hyp Ref Expression
1 nnssre ⊢ ℕ ⊆ ℝ
2 1 sseli ⊢ ( 𝐴 ∈ ℕ → 𝐴 ∈ ℝ )