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Definition df-numer 13119
 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.)
Assertion
Ref Expression
df-numer numer
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-numer
StepHypRef Expression
1 cnumer 13117 . 2 numer
2 vy . . 3
3 cq 10566 . . 3
4 vx . . . . . . . . . 10
54cv 1651 . . . . . . . . 9
6 c1st 6339 . . . . . . . . 9
75, 6cfv 5446 . . . . . . . 8
8 c2nd 6340 . . . . . . . . 9
95, 8cfv 5446 . . . . . . . 8
10 cgcd 12998 . . . . . . . 8
117, 9, 10co 6073 . . . . . . 7
12 c1 8983 . . . . . . 7
1311, 12wceq 1652 . . . . . 6
142cv 1651 . . . . . . 7
15 cdiv 9669 . . . . . . . 8
167, 9, 15co 6073 . . . . . . 7
1714, 16wceq 1652 . . . . . 6
1813, 17wa 359 . . . . 5
19 cz 10274 . . . . . 6
20 cn 9992 . . . . . 6
2119, 20cxp 4868 . . . . 5
2218, 4, 21crio 6534 . . . 4
2322, 6cfv 5446 . . 3
242, 3, 23cmpt 4258 . 2
251, 24wceq 1652 1 numer
 Colors of variables: wff set class This definition is referenced by:  qnumval  13121  fnum  13126
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