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Fungrim entry: df3c07

p ⁣(n)<p ⁣(n+1)p\!\left(n\right) < p\!\left(n + 1\right)
Assumptions:nZ1n \in \mathbb{Z}_{\ge 1}
TeX:
p\!\left(n\right) < p\!\left(n + 1\right)

n \in \mathbb{Z}_{\ge 1}
Definitions:
Fungrim symbol Notation Short description
PartitionsPp ⁣(n)p\!\left(n\right) Integer partition function
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("df3c07"),
    Formula(Less(PartitionsP(n), PartitionsP(Add(n, 1)))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(1))))

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2019-08-21 11:44:15.926409 UTC