Description: The scalar multiplication is continuous in a topological module. (Contributed by Mario Carneiro, 5-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | istlm.s | |
|
istlm.j | |
||
istlm.f | |
||
istlm.k | |
||
Assertion | vscacn | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | istlm.s | |
|
2 | istlm.j | |
|
3 | istlm.f | |
|
4 | istlm.k | |
|
5 | 1 2 3 4 | istlm | |
6 | 5 | simprbi | |