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Mirrors > Home > MPE Home > Th. List > df-mod | Structured version Unicode version |
Description: Define the modulo (remainder) operation. See modval 11830 for its value. (Contributed by NM, 10-Nov-2008.) |
Ref | Expression |
---|---|
df-mod |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmo 11828 |
. 2
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2 | vx |
. . 3
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3 | vy |
. . 3
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4 | cr 9395 |
. . 3
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5 | crp 11105 |
. . 3
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6 | 2 | cv 1369 |
. . . 4
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7 | 3 | cv 1369 |
. . . . 5
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8 | cdiv 10107 |
. . . . . . 7
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9 | 6, 7, 8 | co 6203 |
. . . . . 6
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10 | cfl 11760 |
. . . . . 6
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11 | 9, 10 | cfv 5529 |
. . . . 5
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12 | cmul 9401 |
. . . . 5
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13 | 7, 11, 12 | co 6203 |
. . . 4
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14 | cmin 9709 |
. . . 4
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15 | 6, 13, 14 | co 6203 |
. . 3
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16 | 2, 3, 4, 5, 15 | cmpt2 6205 |
. 2
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17 | 1, 16 | wceq 1370 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: modval 11830 |
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