This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem ringcmnd

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

		Ref	Expression
	Hypothesis	ringabld.1	$⊢ φ \to R \in Ring$
	Assertion	ringcmnd	$⊢ φ \to R \in CMnd$

Step	Hyp	Ref	Expression
1		ringabld.1	$⊢ φ \to R \in Ring$
2	1	ringabld	$⊢ φ \to R \in Abel$
3	2	ablcmnd	$⊢ φ \to R \in CMnd$