Theorem clmabl

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

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

Proof

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