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Definition df-numer 13805
 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 13803 . 2 numer
2 vy . . 3
3 cq 10945 . . 3
4 vx . . . . . . . . . 10
54cv 1368 . . . . . . . . 9
6 c1st 6570 . . . . . . . . 9
75, 6cfv 5413 . . . . . . . 8
8 c2nd 6571 . . . . . . . . 9
95, 8cfv 5413 . . . . . . . 8
10 cgcd 13682 . . . . . . . 8
117, 9, 10co 6086 . . . . . . 7
12 c1 9275 . . . . . . 7
1311, 12wceq 1369 . . . . . 6
142cv 1368 . . . . . . 7
15 cdiv 9985 . . . . . . . 8
167, 9, 15co 6086 . . . . . . 7
1714, 16wceq 1369 . . . . . 6
1813, 17wa 369 . . . . 5
19 cz 10638 . . . . . 6
20 cn 10314 . . . . . 6
2119, 20cxp 4833 . . . . 5
2218, 4, 21crio 6046 . . . 4
2322, 6cfv 5413 . . 3
242, 3, 23cmpt 4345 . 2
251, 24wceq 1369 1 numer
 Colors of variables: wff setvar class This definition is referenced by:  qnumval  13807  fnum  13812
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