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Fungrim entry: 4f1441

blcm ⁣(a,b)b \mid \operatorname{lcm}\!\left(a, b\right)
Assumptions:aZ  and  bZ{0}a \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \setminus \left\{0\right\}
TeX:
b \mid \operatorname{lcm}\!\left(a, b\right)

a \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
LCMlcm ⁣(a,b)\operatorname{lcm}\!\left(a, b\right) Least common multiple
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("4f1441"),
    Formula(Divides(b, LCM(a, b))),
    Variables(a, b),
    Assumptions(And(Element(a, ZZ), Element(b, SetMinus(ZZ, Set(0))))))

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2020-04-08 16:14:44.404316 UTC