Database
BASIC ALGEBRAIC STRUCTURES
Rings
Unital rings
ringssrng
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isringrng
Metamath Proof Explorer
Ascii
Structured
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