Description: A group is a semigroup. (Contributed by AV, 28-Aug-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | grpsgrp | |- ( G e. Grp -> G e. Smgrp ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | grpmnd | |- ( G e. Grp -> G e. Mnd ) |
|
2 | mndsgrp | |- ( G e. Mnd -> G e. Smgrp ) |
|
3 | 1 2 | syl | |- ( G e. Grp -> G e. Smgrp ) |