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Metamath Proof Explorer

Theorem clmabl

Description: A subcomplex module is an abelian group. (Contributed by Mario Carneiro, 16-Oct-2015)

		Ref	Expression
	Assertion	clmabl	$⊢ W \in CMod \to W \in Abel$

Step	Hyp	Ref	Expression
1		clmlmod	$⊢ W \in CMod \to W \in LMod$
2		lmodabl	$⊢ W \in LMod \to W \in Abel$
3	1 2	syl	$⊢ W \in CMod \to W \in Abel$