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Mirrors > Home > MPE Home > Th. List > df-ocv | Structured version Visualization version Unicode version |
Description: Define orthocomplement of a subspace. (Contributed by NM, 7-Oct-2011.) |
Ref | Expression |
---|---|
df-ocv | Scalar |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cocv 20004 | . 2 | |
2 | vh | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | vs | . . . 4 | |
5 | 2 | cv 1482 | . . . . . 6 |
6 | cbs 15857 | . . . . . 6 | |
7 | 5, 6 | cfv 5888 | . . . . 5 |
8 | 7 | cpw 4158 | . . . 4 |
9 | vx | . . . . . . . . 9 | |
10 | 9 | cv 1482 | . . . . . . . 8 |
11 | vy | . . . . . . . . 9 | |
12 | 11 | cv 1482 | . . . . . . . 8 |
13 | cip 15946 | . . . . . . . . 9 | |
14 | 5, 13 | cfv 5888 | . . . . . . . 8 |
15 | 10, 12, 14 | co 6650 | . . . . . . 7 |
16 | csca 15944 | . . . . . . . . 9 Scalar | |
17 | 5, 16 | cfv 5888 | . . . . . . . 8 Scalar |
18 | c0g 16100 | . . . . . . . 8 | |
19 | 17, 18 | cfv 5888 | . . . . . . 7 Scalar |
20 | 15, 19 | wceq 1483 | . . . . . 6 Scalar |
21 | 4 | cv 1482 | . . . . . 6 |
22 | 20, 11, 21 | wral 2912 | . . . . 5 Scalar |
23 | 22, 9, 7 | crab 2916 | . . . 4 Scalar |
24 | 4, 8, 23 | cmpt 4729 | . . 3 Scalar |
25 | 2, 3, 24 | cmpt 4729 | . 2 Scalar |
26 | 1, 25 | wceq 1483 | 1 Scalar |
Colors of variables: wff setvar class |
This definition is referenced by: ocvfval 20010 |
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