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Fungrim entry: 272bc8

gcd⁡ ⁣(a,b)∣b\gcd\!\left(a, b\right) \mid b
Assumptions:a∈Z  and⁡  b∈Z  and⁡  (a≠0  or⁡  b≠0)a \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; \left(a \ne 0 \;\mathbin{\operatorname{or}}\; b \ne 0\right)
TeX:
\gcd\!\left(a, b\right) \mid b

a \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; b \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; \left(a \ne 0 \;\mathbin{\operatorname{or}}\; b \ne 0\right)
Definitions:
Fungrim symbol Notation Short description
GCDgcd⁡ ⁣(a,b)\gcd\!\left(a, b\right) Greatest common divisor
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("272bc8"),
    Formula(Divides(GCD(a, b), b)),
    Variables(a, b),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ), Or(NotEqual(a, 0), NotEqual(b, 0)))))

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2021-03-15 19:12:00.328586 UTC