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