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Fungrim entry: 5cb57e

Fn=Fm+1Fnm+FmFnm1F_{n} = F_{m + 1} F_{n - m} + F_{m} F_{n - m - 1}
Assumptions:mZandnZm \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, n \in \mathbb{Z}
TeX:
F_{n} = F_{m + 1} F_{n - m} + F_{m} F_{n - m - 1}

m \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, n \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
FibonacciFnF_{n} Fibonacci number
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("5cb57e"),
    Formula(Equal(Fibonacci(n), Add(Mul(Fibonacci(Add(m, 1)), Fibonacci(Sub(n, m))), Mul(Fibonacci(m), Fibonacci(Sub(Sub(n, m), 1)))))),
    Variables(m, n),
    Assumptions(And(Element(m, ZZ), Element(n, ZZ))))

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2019-10-05 13:11:19.856591 UTC