Theorem eluzge2nn0

Description: If an integer is greater than or equal to 2, then it is a nonnegative integer. (Contributed by AV, 27-Aug-2018) (Proof shortened by AV, 3-Nov-2018)

	Ref	Expression
Assertion	eluzge2nn0	⊢ ( 𝑁 ∈ ( ℤ≥ ‘ 2 ) → 𝑁 ∈ ℕ0 )

Proof

Step	Hyp	Ref	Expression
1		eluz2nn	⊢ ( 𝑁 ∈ ( ℤ≥ ‘ 2 ) → 𝑁 ∈ ℕ )
2	1	nnnn0d	⊢ ( 𝑁 ∈ ( ℤ≥ ‘ 2 ) → 𝑁 ∈ ℕ0 )