Metamath Proof Explorer


Theorem ringssrng

Description: The unital rings are non-unital rings. (Contributed by AV, 20-Mar-2020)

Ref Expression
Assertion ringssrng ⊢ Ring ⊆ Rng

Proof

Step Hyp Ref Expression
1 ringrng ⊢ x ∈ Ring → x ∈ Rng
2 1 ssriv ⊢ Ring ⊆ Rng