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Mirrors > Home > HSE Home > Th. List > df-lnfn | Structured version Unicode version |
Description: Define the set of linear functionals on Hilbert space. (Contributed by NM, 11-Feb-2006.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-lnfn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clf 24491 |
. 2
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2 | vx |
. . . . . . . . . . 11
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3 | 2 | cv 1369 |
. . . . . . . . . 10
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4 | vy |
. . . . . . . . . . 11
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5 | 4 | cv 1369 |
. . . . . . . . . 10
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6 | csm 24458 |
. . . . . . . . . 10
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7 | 3, 5, 6 | co 6190 |
. . . . . . . . 9
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8 | vz |
. . . . . . . . . 10
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9 | 8 | cv 1369 |
. . . . . . . . 9
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10 | cva 24457 |
. . . . . . . . 9
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11 | 7, 9, 10 | co 6190 |
. . . . . . . 8
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12 | vt |
. . . . . . . . 9
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13 | 12 | cv 1369 |
. . . . . . . 8
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14 | 11, 13 | cfv 5516 |
. . . . . . 7
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15 | 5, 13 | cfv 5516 |
. . . . . . . . 9
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16 | cmul 9388 |
. . . . . . . . 9
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17 | 3, 15, 16 | co 6190 |
. . . . . . . 8
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18 | 9, 13 | cfv 5516 |
. . . . . . . 8
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19 | caddc 9386 |
. . . . . . . 8
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20 | 17, 18, 19 | co 6190 |
. . . . . . 7
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21 | 14, 20 | wceq 1370 |
. . . . . 6
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22 | chil 24456 |
. . . . . 6
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23 | 21, 8, 22 | wral 2795 |
. . . . 5
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24 | 23, 4, 22 | wral 2795 |
. . . 4
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25 | cc 9381 |
. . . 4
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26 | 24, 2, 25 | wral 2795 |
. . 3
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27 | cmap 7314 |
. . . 4
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28 | 25, 22, 27 | co 6190 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() |
29 | 26, 12, 28 | crab 2799 |
. 2
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30 | 1, 29 | wceq 1370 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: ellnfn 25422 |
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