Fungrim entry: 4f1441

b \mid \operatorname{lcm}\!\left(a, b\right)

Assumptions:

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
`LCM`	$\operatorname{lcm}\!\left(a, b\right)$	Least common multiple
`ZZ`	$\mathbb{Z}$	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))))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC