Description: The (induced) metric of a normed group is a metric. Part of Definition 2.2-1 of Kreyszig p. 58. (Contributed by NM, 4-Dec-2006) (Revised by AV, 14-Oct-2021)
Ref | Expression | ||
---|---|---|---|
Hypotheses | ngpmet.x | |
|
ngpmet.d | |
||
Assertion | ngpmet | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ngpmet.x | |
|
2 | ngpmet.d | |
|
3 | ngpms | |
|
4 | 1 2 | msmet | |
5 | 3 4 | syl | |