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Fungrim entry: acda23

x+yi‾=x−yi\overline{x + y i} = x - y i
Assumptions:x∈R  and⁡  y∈Rx \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.

2021-03-15 19:12:00.328586 UTC