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Metamath Proof Explorer

Theorem lmodgrpd

Description: A left module is a group. (Contributed by SN, 16-May-2024)

		Ref	Expression
	Hypothesis	lmodgrpd.1	$⊢ φ \to W \in LMod$
	Assertion	lmodgrpd	$⊢ φ \to W \in Grp$

Step	Hyp	Ref	Expression
1		lmodgrpd.1	$⊢ φ \to W \in LMod$
2		lmodgrp	$⊢ W \in LMod \to W \in Grp$
3	1 2	syl	$⊢ φ \to W \in Grp$