Theorem ringcmnd

Description: A ring is a commutative monoid. (Contributed by SN, 1-Jun-2024)

	Ref	Expression
Hypothesis	ringabld.1	⊢ ( 𝜑 → 𝑅 ∈ Ring )
Assertion	ringcmnd	⊢ ( 𝜑 → 𝑅 ∈ CMnd )

Proof

Step	Hyp	Ref	Expression
1		ringabld.1	⊢ ( 𝜑 → 𝑅 ∈ Ring )
2	1	ringabld	⊢ ( 𝜑 → 𝑅 ∈ Abel )
3	2	ablcmnd	⊢ ( 𝜑 → 𝑅 ∈ CMnd )