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Mirrors > Home > HSE Home > Th. List > df-hodif | Structured version Visualization version Unicode version |
Description: Define the difference of two Hilbert space operators. Definition of [Beran] p. 111. (Contributed by NM, 9-Nov-2000.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-hodif |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | chod 27797 | . 2 | |
2 | vf | . . 3 | |
3 | vg | . . 3 | |
4 | chil 27776 | . . . 4 | |
5 | cmap 7857 | . . . 4 | |
6 | 4, 4, 5 | co 6650 | . . 3 |
7 | vx | . . . 4 | |
8 | 7 | cv 1482 | . . . . . 6 |
9 | 2 | cv 1482 | . . . . . 6 |
10 | 8, 9 | cfv 5888 | . . . . 5 |
11 | 3 | cv 1482 | . . . . . 6 |
12 | 8, 11 | cfv 5888 | . . . . 5 |
13 | cmv 27782 | . . . . 5 | |
14 | 10, 12, 13 | co 6650 | . . . 4 |
15 | 7, 4, 14 | cmpt 4729 | . . 3 |
16 | 2, 3, 6, 6, 15 | cmpt2 6652 | . 2 |
17 | 1, 16 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: hodmval 28596 |
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