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Fungrim entry: acda23

x+yi=xyi\overline{x + y i} = x - y i
Assumptions:xRandyRx \in \mathbb{R} \,\mathbin{\operatorname{and}}\, y \in \mathbb{R}
TeX:
\overline{x + y i} = x - y i

x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, y \in \mathbb{R}
Definitions:
Fungrim symbol Notation Short description
Conjugatez\overline{z} Complex conjugate
ConstIii Imaginary unit
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("acda23"),
    Formula(Equal(Conjugate(Add(x, Mul(y, ConstI))), Sub(x, Mul(y, ConstI)))),
    Variables(x, y),
    Assumptions(And(Element(x, RR), Element(y, RR))))

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

2019-09-15 11:00:55.020619 UTC