Fungrim entry: 310f36

{z}^{0} = 1

Assumptions:

z \in \mathbb{C}

z \in R \;\mathbin{\operatorname{and}}\; R \in \operatorname{Rings} \;\mathbin{\operatorname{and}}\; \mathbb{Z} \subseteq R

TeX:

{z}^{0} = 1

z \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`Pow`	${a}^{b}$	Power
`CC`	$\mathbb{C}$	Complex numbers
`ZZ`	$\mathbb{Z}$	Integers

Source code for this entry:

Entry(ID("310f36"),
    Formula(Equal(Pow(z, 0), 1)),
    Variables(z),
    Assumptions(Element(z, CC)),
    And(Element(z, R), Element(R, Rings), SubsetEqual(ZZ, R)))

Topics using this entry

Powers

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC