Description: The ring module over a normed ring is a normed module. (Contributed by Mario Carneiro, 4-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | rlmnlm | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nrgring | |
|
2 | eqid | |
|
3 | 2 | subrgid | |
4 | 1 3 | syl | |
5 | rlmval | |
|
6 | 5 | sranlm | |
7 | 4 6 | mpdan | |