Description: The value of the norm function on a group as the distance restricted to the elements of the base set to zero. (Contributed by Mario Carneiro, 2-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | nmfval2.n | ||
nmfval2.x | |||
nmfval2.z | |||
nmfval2.d | |||
nmfval2.e | |||
Assertion | nmfval2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nmfval2.n | ||
2 | nmfval2.x | ||
3 | nmfval2.z | ||
4 | nmfval2.d | ||
5 | nmfval2.e | ||
6 | 2 3 | grpidcl | |
7 | 1 2 3 4 5 | nmfval0 | |
8 | 6 7 | syl |