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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 
|- ( ph -> W e. LMod )
Assertion lmodgrpd 
|- ( ph -> W e. Grp )

Proof

Step Hyp Ref Expression
1 lmodgrpd.1 
 |-  ( ph -> W e. LMod )
2 lmodgrp 
 |-  ( W e. LMod -> W e. Grp )
3 1 2 syl 
 |-  ( ph -> W e. Grp )