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Mirrors > Home > MPE Home > Th. List > df-itg | Structured version Visualization version Unicode version |
Description: Define the full Lebesgue
integral, for complex-valued functions to
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Ref | Expression |
---|---|
df-itg |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vx |
. . 3
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2 | cA |
. . 3
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3 | cB |
. . 3
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4 | 1, 2, 3 | citg 22576 |
. 2
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5 | cc0 9539 |
. . . 4
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6 | c3 10660 |
. . . 4
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7 | cfz 11784 |
. . . 4
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8 | 5, 6, 7 | co 6290 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() |
9 | ci 9541 |
. . . . 5
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10 | vk |
. . . . . 6
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11 | 10 | cv 1443 |
. . . . 5
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12 | cexp 12272 |
. . . . 5
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13 | 9, 11, 12 | co 6290 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() |
14 | cr 9538 |
. . . . . 6
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15 | vy |
. . . . . . 7
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16 | cdiv 10269 |
. . . . . . . . 9
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17 | 3, 13, 16 | co 6290 |
. . . . . . . 8
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18 | cre 13160 |
. . . . . . . 8
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19 | 17, 18 | cfv 5582 |
. . . . . . 7
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20 | 1 | cv 1443 |
. . . . . . . . . 10
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21 | 20, 2 | wcel 1887 |
. . . . . . . . 9
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22 | 15 | cv 1443 |
. . . . . . . . . 10
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23 | cle 9676 |
. . . . . . . . . 10
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24 | 5, 22, 23 | wbr 4402 |
. . . . . . . . 9
![]() ![]() ![]() ![]() |
25 | 21, 24 | wa 371 |
. . . . . . . 8
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26 | 25, 22, 5 | cif 3881 |
. . . . . . 7
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27 | 15, 19, 26 | csb 3363 |
. . . . . 6
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28 | 1, 14, 27 | cmpt 4461 |
. . . . 5
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29 | citg2 22574 |
. . . . 5
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30 | 28, 29 | cfv 5582 |
. . . 4
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31 | cmul 9544 |
. . . 4
![]() ![]() | |
32 | 13, 30, 31 | co 6290 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
33 | 8, 32, 10 | csu 13752 |
. 2
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34 | 4, 33 | wceq 1444 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: dfitg 22727 itgex 22728 nfitg1 22731 |
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