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 ) |
| 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 ) |