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 )