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Fungrim entry: b36dba

gcd ⁣(ab,b)=gcd ⁣(a,b)\gcd\!\left(a - b, b\right) = \gcd\!\left(a, b\right)
Assumptions:aZandbZa \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z}
TeX:
\gcd\!\left(a - b, b\right) = \gcd\!\left(a, b\right)

a \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, b \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
GCDgcd ⁣(n,k)\gcd\!\left(n, k\right) Greatest common divisor
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("b36dba"),
    Formula(Equal(GCD(Sub(a, b), b), GCD(a, b))),
    Variables(a, b),
    Assumptions(And(Element(a, ZZ), Element(b, ZZ))))

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2019-06-18 07:49:59.356594 UTC