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Mirrors > Home > MPE Home > Th. List > df-ocv | Structured version Unicode version |
Description: Define orthocomplement of a subspace. (Contributed by NM, 7-Oct-2011.) |
Ref | Expression |
---|---|
df-ocv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cocv 18213 |
. 2
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2 | vh |
. . 3
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3 | cvv 3078 |
. . 3
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4 | vs |
. . . 4
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5 | 2 | cv 1369 |
. . . . . 6
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6 | cbs 14295 |
. . . . . 6
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7 | 5, 6 | cfv 5529 |
. . . . 5
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8 | 7 | cpw 3971 |
. . . 4
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9 | vx |
. . . . . . . . 9
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10 | 9 | cv 1369 |
. . . . . . . 8
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11 | vy |
. . . . . . . . 9
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12 | 11 | cv 1369 |
. . . . . . . 8
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13 | cip 14365 |
. . . . . . . . 9
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14 | 5, 13 | cfv 5529 |
. . . . . . . 8
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15 | 10, 12, 14 | co 6203 |
. . . . . . 7
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16 | csca 14363 |
. . . . . . . . 9
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17 | 5, 16 | cfv 5529 |
. . . . . . . 8
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18 | c0g 14500 |
. . . . . . . 8
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19 | 17, 18 | cfv 5529 |
. . . . . . 7
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20 | 15, 19 | wceq 1370 |
. . . . . 6
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21 | 4 | cv 1369 |
. . . . . 6
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22 | 20, 11, 21 | wral 2799 |
. . . . 5
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23 | 22, 9, 7 | crab 2803 |
. . . 4
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24 | 4, 8, 23 | cmpt 4461 |
. . 3
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25 | 2, 3, 24 | cmpt 4461 |
. 2
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26 | 1, 25 | wceq 1370 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: ocvfval 18219 |
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