Metamath Proof Explorer


Theorem nn0re

Description: A nonnegative integer is a real number. (Contributed by NM, 9-May-2004)

Ref Expression
Assertion nn0re ⊢ A ∈ ℕ 0 → A ∈ ℝ

Proof

Step Hyp Ref Expression
1 nn0ssre ⊢ ℕ 0 ⊆ ℝ
2 1 sseli ⊢ A ∈ ℕ 0 → A ∈ ℝ