Theorem clmgrp

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

	Ref	Expression
Assertion	clmgrp	$$⊢W\in \mathrm{CMod}\to W\in \mathrm{Grp}$$

Proof

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