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Mirrors > Home > ILE Home > Th. List > df-add | Unicode version |
Description: Define addition over complex numbers. (Contributed by NM, 28-May-1995.) |
Ref | Expression |
---|---|
df-add |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | caddc 7816 |
. 2
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2 | vx |
. . . . . . 7
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3 | 2 | cv 1352 |
. . . . . 6
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4 | cc 7811 |
. . . . . 6
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5 | 3, 4 | wcel 2148 |
. . . . 5
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6 | vy |
. . . . . . 7
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7 | 6 | cv 1352 |
. . . . . 6
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8 | 7, 4 | wcel 2148 |
. . . . 5
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9 | 5, 8 | wa 104 |
. . . 4
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10 | vw |
. . . . . . . . . . . . 13
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11 | 10 | cv 1352 |
. . . . . . . . . . . 12
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12 | vv |
. . . . . . . . . . . . 13
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13 | 12 | cv 1352 |
. . . . . . . . . . . 12
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14 | 11, 13 | cop 3597 |
. . . . . . . . . . 11
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15 | 3, 14 | wceq 1353 |
. . . . . . . . . 10
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16 | vu |
. . . . . . . . . . . . 13
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17 | 16 | cv 1352 |
. . . . . . . . . . . 12
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18 | vf |
. . . . . . . . . . . . 13
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19 | 18 | cv 1352 |
. . . . . . . . . . . 12
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20 | 17, 19 | cop 3597 |
. . . . . . . . . . 11
![]() ![]() ![]() ![]() ![]() ![]() |
21 | 7, 20 | wceq 1353 |
. . . . . . . . . 10
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22 | 15, 21 | wa 104 |
. . . . . . . . 9
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23 | vz |
. . . . . . . . . . 11
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24 | 23 | cv 1352 |
. . . . . . . . . 10
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25 | cplr 7302 |
. . . . . . . . . . . 12
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26 | 11, 17, 25 | co 5877 |
. . . . . . . . . . 11
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27 | 13, 19, 25 | co 5877 |
. . . . . . . . . . 11
![]() ![]() ![]() ![]() ![]() ![]() |
28 | 26, 27 | cop 3597 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
29 | 24, 28 | wceq 1353 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
30 | 22, 29 | wa 104 |
. . . . . . . 8
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31 | 30, 18 | wex 1492 |
. . . . . . 7
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32 | 31, 16 | wex 1492 |
. . . . . 6
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33 | 32, 12 | wex 1492 |
. . . . 5
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34 | 33, 10 | wex 1492 |
. . . 4
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35 | 9, 34 | wa 104 |
. . 3
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36 | 35, 2, 6, 23 | coprab 5878 |
. 2
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37 | 1, 36 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: addcnsr 7835 addvalex 7845 axaddf 7869 |
Copyright terms: Public domain | W3C validator |