Metamath Proof Explorer


Theorem nn0re

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

Ref Expression
Assertion nn0re ( 𝐴 ∈ ℕ0𝐴 ∈ ℝ )

Proof

Step Hyp Ref Expression
1 nn0ssre 0 ⊆ ℝ
2 1 sseli ( 𝐴 ∈ ℕ0𝐴 ∈ ℝ )