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Metamath Proof Explorer

Theorem zringrng

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

Ref Expression
Assertion zringrng ⊢ ℤ ring ∈ Rng

Proof

Step Hyp Ref Expression
1 zringring ⊢ ℤ ring ∈ Ring
2 ringrng ⊢ ℤ ring ∈ Ring → ℤ ring ∈ Rng
3 1 2 ax-mp ⊢ ℤ ring ∈ Rng