Description: Closure of vector addition for a left module. (Contributed by NM, 8-Dec-2013) (Revised by Mario Carneiro, 19-Jun-2014)
Ref | Expression | ||
---|---|---|---|
Hypotheses | lmodvacl.v | |
|
lmodvacl.a | |
||
Assertion | lmodvacl | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lmodvacl.v | |
|
2 | lmodvacl.a | |
|
3 | lmodgrp | |
|
4 | 1 2 | grpcl | |
5 | 3 4 | syl3an1 | |