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Mirrors > Home > ILE Home > Th. List > df-re | Unicode version |
Description: Define a function whose value is the real part of a complex number. See reval 10993 for its value, recli 11055 for its closure, and replim 11003 for its use in decomposing a complex number. (Contributed by NM, 9-May-1999.) |
Ref | Expression |
---|---|
df-re |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cre 10984 |
. 2
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2 | vx |
. . 3
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3 | cc 7870 |
. . 3
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4 | 2 | cv 1363 |
. . . . 5
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5 | ccj 10983 |
. . . . . 6
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6 | 4, 5 | cfv 5254 |
. . . . 5
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7 | caddc 7875 |
. . . . 5
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8 | 4, 6, 7 | co 5918 |
. . . 4
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9 | c2 9033 |
. . . 4
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10 | cdiv 8691 |
. . . 4
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11 | 8, 9, 10 | co 5918 |
. . 3
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12 | 2, 3, 11 | cmpt 4090 |
. 2
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13 | 1, 12 | wceq 1364 |
1
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Colors of variables: wff set class |
This definition is referenced by: reval 10993 ref 10999 |
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