Theorem eluz2n0

Description: An integer greater than or equal to 2 is not 0. (Contributed by AV, 25-May-2020)

	Ref	Expression
Assertion	eluz2n0	⊢ ( 𝑁 ∈ ( ℤ≥ ‘ 2 ) → 𝑁 ≠ 0 )

Proof

Step	Hyp	Ref	Expression
1		eluz2nn	⊢ ( 𝑁 ∈ ( ℤ≥ ‘ 2 ) → 𝑁 ∈ ℕ )
2	1	nnne0d	⊢ ( 𝑁 ∈ ( ℤ≥ ‘ 2 ) → 𝑁 ≠ 0 )