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Mirrors > Home > ILE Home > Th. List > df-cj | Unicode version |
Description: Define the complex conjugate function. See cjcli 10921 for its closure and cjval 10853 for its value. (Contributed by NM, 9-May-1999.) (Revised by Mario Carneiro, 6-Nov-2013.) |
Ref | Expression |
---|---|
df-cj |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccj 10847 |
. 2
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2 | vx |
. . 3
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3 | cc 7808 |
. . 3
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4 | 2 | cv 1352 |
. . . . . . 7
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5 | vy |
. . . . . . . 8
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6 | 5 | cv 1352 |
. . . . . . 7
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7 | caddc 7813 |
. . . . . . 7
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8 | 4, 6, 7 | co 5874 |
. . . . . 6
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9 | cr 7809 |
. . . . . 6
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10 | 8, 9 | wcel 2148 |
. . . . 5
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11 | ci 7812 |
. . . . . . 7
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12 | cmin 8127 |
. . . . . . . 8
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13 | 4, 6, 12 | co 5874 |
. . . . . . 7
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14 | cmul 7815 |
. . . . . . 7
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15 | 11, 13, 14 | co 5874 |
. . . . . 6
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16 | 15, 9 | wcel 2148 |
. . . . 5
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17 | 10, 16 | wa 104 |
. . . 4
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18 | 17, 5, 3 | crio 5829 |
. . 3
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19 | 2, 3, 18 | cmpt 4064 |
. 2
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20 | 1, 19 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: cjval 10853 cjf 10855 |
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