Theorem clmgrp

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

	Ref	Expression
Assertion	clmgrp	⊢ ( 𝑊 ∈ ℂMod → 𝑊 ∈ Grp )

Proof

Step	Hyp	Ref	Expression
1		clmlmod	⊢ ( 𝑊 ∈ ℂMod → 𝑊 ∈ LMod )
2		lmodgrp	⊢ ( 𝑊 ∈ LMod → 𝑊 ∈ Grp )
3	1 2	syl	⊢ ( 𝑊 ∈ ℂMod → 𝑊 ∈ Grp )