Fungrim entry: 67978f

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

Assumptions:

a \in \mathbb{Z} \setminus \left\{0\right\} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z}

TeX:

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

a \in \mathbb{Z} \setminus \left\{0\right\} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z}

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("67978f"),
    Formula(Divides(a, LCM(a, b))),
    Variables(a, b),
    Assumptions(And(Element(a, SetMinus(ZZ, Set(0))), Element(b, ZZ))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC