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Mirrors > Home > ILE Home > Th. List > df-numer | Unicode version |
Description: The canonical numerator of a rational is the numerator of the rational's reduced fraction representation (no common factors, denominator positive). (Contributed by Stefan O'Rear, 13-Sep-2014.) |
Ref | Expression |
---|---|
df-numer |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnumer 11895 |
. 2
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2 | vy |
. . 3
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3 | cq 9438 |
. . 3
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4 | vx |
. . . . . . . . . 10
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5 | 4 | cv 1331 |
. . . . . . . . 9
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6 | c1st 6044 |
. . . . . . . . 9
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7 | 5, 6 | cfv 5131 |
. . . . . . . 8
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8 | c2nd 6045 |
. . . . . . . . 9
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9 | 5, 8 | cfv 5131 |
. . . . . . . 8
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10 | cgcd 11671 |
. . . . . . . 8
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11 | 7, 9, 10 | co 5782 |
. . . . . . 7
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12 | c1 7645 |
. . . . . . 7
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13 | 11, 12 | wceq 1332 |
. . . . . 6
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14 | 2 | cv 1331 |
. . . . . . 7
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15 | cdiv 8456 |
. . . . . . . 8
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16 | 7, 9, 15 | co 5782 |
. . . . . . 7
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17 | 14, 16 | wceq 1332 |
. . . . . 6
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18 | 13, 17 | wa 103 |
. . . . 5
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19 | cz 9078 |
. . . . . 6
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20 | cn 8744 |
. . . . . 6
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21 | 19, 20 | cxp 4545 |
. . . . 5
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22 | 18, 4, 21 | crio 5737 |
. . . 4
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23 | 22, 6 | cfv 5131 |
. . 3
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24 | 2, 3, 23 | cmpt 3997 |
. 2
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25 | 1, 24 | wceq 1332 |
1
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Colors of variables: wff set class |
This definition is referenced by: qnumval 11899 fnum 11904 |
Copyright terms: Public domain | W3C validator |