Theorem ringcmnd

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

	Ref	Expression
Hypothesis	ringabld.1	$$⊢\phi \to R\in \mathrm{Ring}$$
Assertion	ringcmnd	$$⊢\phi \to R\in \mathrm{CMnd}$$

Proof

Step	Hyp	Ref	Expression
1		ringabld.1	$$⊢\phi \to R\in \mathrm{Ring}$$
2	1	ringabld	$$⊢\phi \to R\in \mathrm{Abel}$$
3	2	ablcmnd	$$⊢\phi \to R\in \mathrm{CMnd}$$