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 
|- ZZring e. Rng

Proof

Step Hyp Ref Expression
1 zringring 
 |-  ZZring e. Ring
2 ringrng 
 |-  ( ZZring e. Ring -> ZZring e. Rng )
3 1 2 ax-mp 
 |-  ZZring e. Rng