Description: The norm of an operator is an extended real. (Contributed by NM, 27-Nov-2007) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | nmoxr.1 | |
|
nmoxr.2 | |
||
nmoxr.3 | |
||
Assertion | nmoxr | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nmoxr.1 | |
|
2 | nmoxr.2 | |
|
3 | nmoxr.3 | |
|
4 | eqid | |
|
5 | eqid | |
|
6 | 1 2 4 5 3 | nmooval | |
7 | 2 5 | nmosetre | |
8 | ressxr | |
|
9 | 7 8 | sstrdi | |
10 | supxrcl | |
|
11 | 9 10 | syl | |
12 | 11 | 3adant1 | |
13 | 6 12 | eqeltrd | |