Metamath Proof Explorer


Theorem nn0ssge0

Description: Nonnegative integers are nonnegative reals. (Contributed by Glauco Siliprandi, 11-Oct-2020)

Ref Expression
Assertion nn0ssge0 ℕ0 ⊆ ( 0 [,) +∞ )

Proof

Step Hyp Ref Expression
1 nn0rp0 ⊢ ( 𝑛 ∈ ℕ0 → 𝑛 ∈ ( 0 [,) +∞ ) )
2 1 ssriv ⊢ ℕ0 ⊆ ( 0 [,) +∞ )