Description: Hilbert space operator cancellation law. (Contributed by NM, 11-Mar-2006) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | honpncan.1 | |
|
honpncan.2 | |
||
honpncan.3 | |
||
Assertion | honpncani | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | honpncan.1 | |
|
2 | honpncan.2 | |
|
3 | honpncan.3 | |
|
4 | 1 2 | hosubcli | |
5 | 4 2 3 | hoaddsubassi | |
6 | 1 2 | honpcani | |
7 | 6 | oveq1i | |
8 | 5 7 | eqtr3i | |