Metamath Proof Explorer
Description: .s is unaffected by scalar restriction. (Contributed by Thierry
Arnoux, 6-Sep-2018)
|
|
Ref |
Expression |
|
Hypotheses |
resvbas.1 |
|
|
|
resvmulr.2 |
|
|
Assertion |
resvmulr |
|
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
resvbas.1 |
|
2 |
|
resvmulr.2 |
|
3 |
|
df-mulr |
|
4 |
|
3nn |
|
5 |
|
3re |
|
6 |
|
3lt5 |
|
7 |
5 6
|
ltneii |
|
8 |
1 2 3 4 7
|
resvlem |
|