Description: The norm of a Hilbert-space-valued state equals zero iff the state value equals zero. (Contributed by NM, 30-Jun-2006) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | hst0h |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hstcl | ||
2 | norm-i | ||
3 | 1 2 | syl |