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

Metamath Proof Explorer

Theorem cmnmndd

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

		Ref	Expression
	Hypothesis	cmnmndd.1	$⊢ φ \to G \in CMnd$
	Assertion	cmnmndd	$⊢ φ \to G \in Mnd$

Step	Hyp	Ref	Expression
1		cmnmndd.1	$⊢ φ \to G \in CMnd$
2		cmnmnd	$⊢ G \in CMnd \to G \in Mnd$
3	1 2	syl	$⊢ φ \to G \in Mnd$