Theorem zringrng

Description: The ring of integers is a non-unital ring. (Contributed by AV, 17-Mar-2025)

	Ref	Expression
Assertion	zringrng	⊢ ℤring ∈ Rng

Proof

Step	Hyp	Ref	Expression
1		zringring	⊢ ℤring ∈ Ring
2		ringrng	⊢ ( ℤring ∈ Ring → ℤring ∈ Rng )
3	1 2	ax-mp	⊢ ℤring ∈ Rng